Properties

Label 80.6.l.a.21.6
Level $80$
Weight $6$
Character 80.21
Analytic conductor $12.831$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 80 = 2^{4} \cdot 5 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 80.l (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(12.8307055850\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(40\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 21.6
Character \(\chi\) \(=\) 80.21
Dual form 80.6.l.a.61.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.27573 - 2.04124i) q^{2} +(6.55397 - 6.55397i) q^{3} +(23.6666 + 21.5381i) q^{4} +(17.6777 + 17.6777i) q^{5} +(-47.9552 + 21.1987i) q^{6} -188.280i q^{7} +(-80.8943 - 161.939i) q^{8} +157.091i q^{9} +O(q^{10})\) \(q+(-5.27573 - 2.04124i) q^{2} +(6.55397 - 6.55397i) q^{3} +(23.6666 + 21.5381i) q^{4} +(17.6777 + 17.6777i) q^{5} +(-47.9552 + 21.1987i) q^{6} -188.280i q^{7} +(-80.8943 - 161.939i) q^{8} +157.091i q^{9} +(-57.1782 - 129.347i) q^{10} +(475.916 + 475.916i) q^{11} +(296.270 - 13.9504i) q^{12} +(118.177 - 118.177i) q^{13} +(-384.325 + 993.312i) q^{14} +231.718 q^{15} +(96.2203 + 1019.47i) q^{16} -738.511 q^{17} +(320.661 - 828.770i) q^{18} +(1844.77 - 1844.77i) q^{19} +(37.6277 + 799.115i) q^{20} +(-1233.98 - 1233.98i) q^{21} +(-1539.34 - 3482.26i) q^{22} -2770.70i q^{23} +(-1591.52 - 531.162i) q^{24} +625.000i q^{25} +(-864.698 + 382.242i) q^{26} +(2622.18 + 2622.18i) q^{27} +(4055.19 - 4455.95i) q^{28} +(5760.68 - 5760.68i) q^{29} +(-1222.48 - 472.992i) q^{30} -3006.33 q^{31} +(1573.35 - 5574.85i) q^{32} +6238.27 q^{33} +(3896.19 + 1507.48i) q^{34} +(3328.34 - 3328.34i) q^{35} +(-3383.44 + 3717.82i) q^{36} +(1145.11 + 1145.11i) q^{37} +(-13498.1 + 5966.87i) q^{38} -1549.06i q^{39} +(1432.67 - 4292.72i) q^{40} -9566.00i q^{41} +(3991.29 + 9028.99i) q^{42} +(-12971.5 - 12971.5i) q^{43} +(1013.01 + 21513.6i) q^{44} +(-2777.00 + 2777.00i) q^{45} +(-5655.67 + 14617.4i) q^{46} +20859.6 q^{47} +(7312.19 + 6050.94i) q^{48} -18642.2 q^{49} +(1275.78 - 3297.33i) q^{50} +(-4840.18 + 4840.18i) q^{51} +(5342.16 - 251.545i) q^{52} +(11956.5 + 11956.5i) q^{53} +(-8481.42 - 19186.4i) q^{54} +16826.2i q^{55} +(-30489.7 + 15230.7i) q^{56} -24181.1i q^{57} +(-42150.8 + 18632.8i) q^{58} +(28124.9 + 28124.9i) q^{59} +(5483.98 + 4990.76i) q^{60} +(-11808.5 + 11808.5i) q^{61} +(15860.6 + 6136.65i) q^{62} +29577.0 q^{63} +(-19680.2 + 26199.8i) q^{64} +4178.19 q^{65} +(-32911.4 - 12733.8i) q^{66} +(-8287.66 + 8287.66i) q^{67} +(-17478.1 - 15906.1i) q^{68} +(-18159.1 - 18159.1i) q^{69} +(-24353.4 + 10765.5i) q^{70} +20916.1i q^{71} +(25439.1 - 12707.8i) q^{72} -10484.3i q^{73} +(-3703.85 - 8378.75i) q^{74} +(4096.23 + 4096.23i) q^{75} +(83392.2 - 3926.67i) q^{76} +(89605.2 - 89605.2i) q^{77} +(-3162.00 + 8172.40i) q^{78} +24253.7 q^{79} +(-16320.9 + 19722.8i) q^{80} -3801.70 q^{81} +(-19526.5 + 50467.6i) q^{82} +(-80833.3 + 80833.3i) q^{83} +(-2626.58 - 55781.7i) q^{84} +(-13055.2 - 13055.2i) q^{85} +(41956.2 + 94912.3i) q^{86} -75510.6i q^{87} +(38570.2 - 115568. i) q^{88} -54884.0i q^{89} +(20319.3 - 8982.18i) q^{90} +(-22250.3 - 22250.3i) q^{91} +(59675.5 - 65573.1i) q^{92} +(-19703.4 + 19703.4i) q^{93} +(-110050. - 42579.5i) q^{94} +65222.3 q^{95} +(-26225.7 - 46849.1i) q^{96} -49424.6 q^{97} +(98351.2 + 38053.3i) q^{98} +(-74762.1 + 74762.1i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 44q^{4} - 228q^{6} + O(q^{10}) \) \( 80q + 44q^{4} - 228q^{6} - 100q^{10} + 1208q^{11} + 1572q^{12} - 916q^{14} - 1800q^{15} + 2960q^{16} + 6400q^{18} + 2360q^{19} - 3800q^{20} - 3260q^{22} - 13880q^{24} - 880q^{26} - 7464q^{27} + 18764q^{28} - 8144q^{29} + 22400q^{32} - 7440q^{34} + 27948q^{36} + 21296q^{37} - 34820q^{38} - 7260q^{42} + 32072q^{43} + 64392q^{44} + 149268q^{46} - 88360q^{47} + 94040q^{48} - 192080q^{49} + 2500q^{50} - 5920q^{51} - 55016q^{52} - 49456q^{53} - 250784q^{54} - 250352q^{56} - 115988q^{58} + 44984q^{59} + 7700q^{60} + 48080q^{61} + 444328q^{62} + 158760q^{63} + 218096q^{64} + 253440q^{66} + 61160q^{67} - 119792q^{68} - 22320q^{69} - 66200q^{70} - 629480q^{72} - 156664q^{74} + 223232q^{76} - 14896q^{77} + 516176q^{78} + 177680q^{79} + 48400q^{80} - 524880q^{81} + 254476q^{82} - 329240q^{83} - 173248q^{84} + 132400q^{85} - 765740q^{86} - 390400q^{88} + 71100q^{90} + 364832q^{91} + 333532q^{92} - 362352q^{93} + 537844q^{94} + 288800q^{95} + 1151112q^{96} + 52420q^{98} + 659000q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/80\mathbb{Z}\right)^\times\).

\(n\) \(17\) \(21\) \(31\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{4}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.27573 2.04124i −0.932626 0.360844i
\(3\) 6.55397 6.55397i 0.420437 0.420437i −0.464917 0.885354i \(-0.653916\pi\)
0.885354 + 0.464917i \(0.153916\pi\)
\(4\) 23.6666 + 21.5381i 0.739583 + 0.673066i
\(5\) 17.6777 + 17.6777i 0.316228 + 0.316228i
\(6\) −47.9552 + 21.1987i −0.543823 + 0.240398i
\(7\) 188.280i 1.45231i −0.687533 0.726153i \(-0.741306\pi\)
0.687533 0.726153i \(-0.258694\pi\)
\(8\) −80.8943 161.939i −0.446882 0.894593i
\(9\) 157.091i 0.646465i
\(10\) −57.1782 129.347i −0.180813 0.409031i
\(11\) 475.916 + 475.916i 1.18590 + 1.18590i 0.978190 + 0.207710i \(0.0666010\pi\)
0.207710 + 0.978190i \(0.433399\pi\)
\(12\) 296.270 13.9504i 0.593930 0.0279662i
\(13\) 118.177 118.177i 0.193943 0.193943i −0.603454 0.797398i \(-0.706209\pi\)
0.797398 + 0.603454i \(0.206209\pi\)
\(14\) −384.325 + 993.312i −0.524056 + 1.35446i
\(15\) 231.718 0.265908
\(16\) 96.2203 + 1019.47i 0.0939651 + 0.995575i
\(17\) −738.511 −0.619776 −0.309888 0.950773i \(-0.600292\pi\)
−0.309888 + 0.950773i \(0.600292\pi\)
\(18\) 320.661 828.770i 0.233273 0.602910i
\(19\) 1844.77 1844.77i 1.17235 1.17235i 0.190702 0.981648i \(-0.438923\pi\)
0.981648 0.190702i \(-0.0610765\pi\)
\(20\) 37.6277 + 799.115i 0.0210345 + 0.446719i
\(21\) −1233.98 1233.98i −0.610604 0.610604i
\(22\) −1539.34 3482.26i −0.678076 1.53393i
\(23\) 2770.70i 1.09212i −0.837747 0.546059i \(-0.816128\pi\)
0.837747 0.546059i \(-0.183872\pi\)
\(24\) −1591.52 531.162i −0.564006 0.188234i
\(25\) 625.000i 0.200000i
\(26\) −864.698 + 382.242i −0.250860 + 0.110893i
\(27\) 2622.18 + 2622.18i 0.692235 + 0.692235i
\(28\) 4055.19 4455.95i 0.977497 1.07410i
\(29\) 5760.68 5760.68i 1.27198 1.27198i 0.326926 0.945050i \(-0.393987\pi\)
0.945050 0.326926i \(-0.106013\pi\)
\(30\) −1222.48 472.992i −0.247993 0.0959514i
\(31\) −3006.33 −0.561865 −0.280932 0.959728i \(-0.590644\pi\)
−0.280932 + 0.959728i \(0.590644\pi\)
\(32\) 1573.35 5574.85i 0.271613 0.962406i
\(33\) 6238.27 0.997193
\(34\) 3896.19 + 1507.48i 0.578019 + 0.223643i
\(35\) 3328.34 3328.34i 0.459260 0.459260i
\(36\) −3383.44 + 3717.82i −0.435113 + 0.478114i
\(37\) 1145.11 + 1145.11i 0.137513 + 0.137513i 0.772513 0.635000i \(-0.219000\pi\)
−0.635000 + 0.772513i \(0.719000\pi\)
\(38\) −13498.1 + 5966.87i −1.51640 + 0.670328i
\(39\) 1549.06i 0.163082i
\(40\) 1432.67 4292.72i 0.141579 0.424212i
\(41\) 9566.00i 0.888732i −0.895845 0.444366i \(-0.853429\pi\)
0.895845 0.444366i \(-0.146571\pi\)
\(42\) 3991.29 + 9028.99i 0.349132 + 0.789798i
\(43\) −12971.5 12971.5i −1.06984 1.06984i −0.997370 0.0724720i \(-0.976911\pi\)
−0.0724720 0.997370i \(-0.523089\pi\)
\(44\) 1013.01 + 21513.6i 0.0788825 + 1.67526i
\(45\) −2777.00 + 2777.00i −0.204430 + 0.204430i
\(46\) −5655.67 + 14617.4i −0.394084 + 1.01854i
\(47\) 20859.6 1.37740 0.688702 0.725045i \(-0.258181\pi\)
0.688702 + 0.725045i \(0.258181\pi\)
\(48\) 7312.19 + 6050.94i 0.458083 + 0.379071i
\(49\) −18642.2 −1.10919
\(50\) 1275.78 3297.33i 0.0721689 0.186525i
\(51\) −4840.18 + 4840.18i −0.260577 + 0.260577i
\(52\) 5342.16 251.545i 0.273973 0.0129005i
\(53\) 11956.5 + 11956.5i 0.584677 + 0.584677i 0.936185 0.351508i \(-0.114331\pi\)
−0.351508 + 0.936185i \(0.614331\pi\)
\(54\) −8481.42 19186.4i −0.395807 0.895386i
\(55\) 16826.2i 0.750029i
\(56\) −30489.7 + 15230.7i −1.29922 + 0.649010i
\(57\) 24181.1i 0.985799i
\(58\) −42150.8 + 18632.8i −1.64526 + 0.727292i
\(59\) 28124.9 + 28124.9i 1.05187 + 1.05187i 0.998579 + 0.0532878i \(0.0169701\pi\)
0.0532878 + 0.998579i \(0.483030\pi\)
\(60\) 5483.98 + 4990.76i 0.196661 + 0.178973i
\(61\) −11808.5 + 11808.5i −0.406323 + 0.406323i −0.880454 0.474131i \(-0.842762\pi\)
0.474131 + 0.880454i \(0.342762\pi\)
\(62\) 15860.6 + 6136.65i 0.524010 + 0.202746i
\(63\) 29577.0 0.938865
\(64\) −19680.2 + 26199.8i −0.600593 + 0.799555i
\(65\) 4178.19 0.122660
\(66\) −32911.4 12733.8i −0.930009 0.359832i
\(67\) −8287.66 + 8287.66i −0.225551 + 0.225551i −0.810831 0.585280i \(-0.800985\pi\)
0.585280 + 0.810831i \(0.300985\pi\)
\(68\) −17478.1 15906.1i −0.458376 0.417150i
\(69\) −18159.1 18159.1i −0.459167 0.459167i
\(70\) −24353.4 + 10765.5i −0.594039 + 0.262596i
\(71\) 20916.1i 0.492419i 0.969217 + 0.246209i \(0.0791851\pi\)
−0.969217 + 0.246209i \(0.920815\pi\)
\(72\) 25439.1 12707.8i 0.578323 0.288894i
\(73\) 10484.3i 0.230268i −0.993350 0.115134i \(-0.963270\pi\)
0.993350 0.115134i \(-0.0367298\pi\)
\(74\) −3703.85 8378.75i −0.0786274 0.177869i
\(75\) 4096.23 + 4096.23i 0.0840875 + 0.0840875i
\(76\) 83392.2 3926.67i 1.65612 0.0779812i
\(77\) 89605.2 89605.2i 1.72229 1.72229i
\(78\) −3162.00 + 8172.40i −0.0588472 + 0.152094i
\(79\) 24253.7 0.437229 0.218615 0.975811i \(-0.429846\pi\)
0.218615 + 0.975811i \(0.429846\pi\)
\(80\) −16320.9 + 19722.8i −0.285114 + 0.344543i
\(81\) −3801.70 −0.0643821
\(82\) −19526.5 + 50467.6i −0.320694 + 0.828855i
\(83\) −80833.3 + 80833.3i −1.28794 + 1.28794i −0.351901 + 0.936037i \(0.614465\pi\)
−0.936037 + 0.351901i \(0.885535\pi\)
\(84\) −2626.58 55781.7i −0.0406155 0.862568i
\(85\) −13055.2 13055.2i −0.195990 0.195990i
\(86\) 41956.2 + 94912.3i 0.611716 + 1.38381i
\(87\) 75510.6i 1.06957i
\(88\) 38570.2 115568.i 0.530940 1.59086i
\(89\) 54884.0i 0.734465i −0.930129 0.367232i \(-0.880305\pi\)
0.930129 0.367232i \(-0.119695\pi\)
\(90\) 20319.3 8982.18i 0.264424 0.116889i
\(91\) −22250.3 22250.3i −0.281665 0.281665i
\(92\) 59675.5 65573.1i 0.735067 0.807711i
\(93\) −19703.4 + 19703.4i −0.236229 + 0.236229i
\(94\) −110050. 42579.5i −1.28460 0.497028i
\(95\) 65222.3 0.741459
\(96\) −26225.7 46849.1i −0.290435 0.518828i
\(97\) −49424.6 −0.533351 −0.266676 0.963786i \(-0.585925\pi\)
−0.266676 + 0.963786i \(0.585925\pi\)
\(98\) 98351.2 + 38053.3i 1.03446 + 0.400246i
\(99\) −74762.1 + 74762.1i −0.766643 + 0.766643i
\(100\) −13461.3 + 14791.7i −0.134613 + 0.147917i
\(101\) −136068. 136068.i −1.32725 1.32725i −0.907762 0.419486i \(-0.862210\pi\)
−0.419486 0.907762i \(-0.637790\pi\)
\(102\) 35415.5 15655.5i 0.337049 0.148993i
\(103\) 154767.i 1.43742i 0.695309 + 0.718711i \(0.255267\pi\)
−0.695309 + 0.718711i \(0.744733\pi\)
\(104\) −28697.3 9577.57i −0.260170 0.0868304i
\(105\) 43627.7i 0.386180i
\(106\) −38673.2 87485.7i −0.334307 0.756262i
\(107\) 96953.4 + 96953.4i 0.818660 + 0.818660i 0.985914 0.167254i \(-0.0534899\pi\)
−0.167254 + 0.985914i \(0.553490\pi\)
\(108\) 5581.43 + 118535.i 0.0460454 + 0.977885i
\(109\) −9912.42 + 9912.42i −0.0799123 + 0.0799123i −0.745933 0.666021i \(-0.767996\pi\)
0.666021 + 0.745933i \(0.267996\pi\)
\(110\) 34346.3 88770.3i 0.270644 0.699497i
\(111\) 15010.1 0.115631
\(112\) 191945. 18116.3i 1.44588 0.136466i
\(113\) 48808.0 0.359579 0.179790 0.983705i \(-0.442458\pi\)
0.179790 + 0.983705i \(0.442458\pi\)
\(114\) −49359.5 + 127573.i −0.355720 + 0.919382i
\(115\) 48979.4 48979.4i 0.345358 0.345358i
\(116\) 260410. 12261.9i 1.79685 0.0846080i
\(117\) 18564.5 + 18564.5i 0.125377 + 0.125377i
\(118\) −90969.6 205789.i −0.601438 1.36056i
\(119\) 139047.i 0.900105i
\(120\) −18744.6 37524.1i −0.118829 0.237879i
\(121\) 291940.i 1.81272i
\(122\) 86402.7 38194.5i 0.525566 0.232328i
\(123\) −62695.3 62695.3i −0.373656 0.373656i
\(124\) −71149.7 64750.6i −0.415546 0.378172i
\(125\) −11048.5 + 11048.5i −0.0632456 + 0.0632456i
\(126\) −156040. 60373.9i −0.875610 0.338784i
\(127\) −61464.2 −0.338153 −0.169076 0.985603i \(-0.554078\pi\)
−0.169076 + 0.985603i \(0.554078\pi\)
\(128\) 157308. 98051.0i 0.848643 0.528965i
\(129\) −170030. −0.899603
\(130\) −22043.0 8528.70i −0.114396 0.0442613i
\(131\) 35243.6 35243.6i 0.179433 0.179433i −0.611676 0.791109i \(-0.709504\pi\)
0.791109 + 0.611676i \(0.209504\pi\)
\(132\) 147639. + 134361.i 0.737507 + 0.671177i
\(133\) −347332. 347332.i −1.70261 1.70261i
\(134\) 60640.6 26806.3i 0.291744 0.128966i
\(135\) 92708.2i 0.437808i
\(136\) 59741.4 + 119593.i 0.276967 + 0.554447i
\(137\) 299820.i 1.36477i 0.730993 + 0.682385i \(0.239057\pi\)
−0.730993 + 0.682385i \(0.760943\pi\)
\(138\) 58735.2 + 132869.i 0.262543 + 0.593919i
\(139\) −131820. 131820.i −0.578688 0.578688i 0.355854 0.934542i \(-0.384190\pi\)
−0.934542 + 0.355854i \(0.884190\pi\)
\(140\) 150457. 7084.53i 0.648772 0.0305486i
\(141\) 136713. 136713.i 0.579112 0.579112i
\(142\) 42694.9 110348.i 0.177687 0.459243i
\(143\) 112485. 0.459994
\(144\) −160149. + 15115.3i −0.643605 + 0.0607452i
\(145\) 203671. 0.804468
\(146\) −21401.1 + 55312.6i −0.0830910 + 0.214754i
\(147\) −122180. + 122180.i −0.466346 + 0.466346i
\(148\) 2437.42 + 51764.5i 0.00914695 + 0.194257i
\(149\) 157459. + 157459.i 0.581033 + 0.581033i 0.935187 0.354154i \(-0.115231\pi\)
−0.354154 + 0.935187i \(0.615231\pi\)
\(150\) −13249.2 29972.0i −0.0480797 0.108765i
\(151\) 209247.i 0.746823i −0.927666 0.373412i \(-0.878188\pi\)
0.927666 0.373412i \(-0.121812\pi\)
\(152\) −447970. 149508.i −1.57268 0.524874i
\(153\) 116013.i 0.400664i
\(154\) −655639. + 289827.i −2.22773 + 0.984774i
\(155\) −53144.8 53144.8i −0.177677 0.177677i
\(156\) 33363.7 36661.0i 0.109765 0.120613i
\(157\) 223193. 223193.i 0.722657 0.722657i −0.246489 0.969146i \(-0.579277\pi\)
0.969146 + 0.246489i \(0.0792769\pi\)
\(158\) −127956. 49507.6i −0.407772 0.157772i
\(159\) 156726. 0.491640
\(160\) 126364. 70737.2i 0.390231 0.218448i
\(161\) −521665. −1.58609
\(162\) 20056.7 + 7760.19i 0.0600444 + 0.0232319i
\(163\) −176691. + 176691.i −0.520889 + 0.520889i −0.917840 0.396951i \(-0.870068\pi\)
0.396951 + 0.917840i \(0.370068\pi\)
\(164\) 206034. 226395.i 0.598175 0.657291i
\(165\) 110278. + 110278.i 0.315340 + 0.315340i
\(166\) 591455. 261454.i 1.66591 0.736420i
\(167\) 230417.i 0.639327i 0.947531 + 0.319664i \(0.103570\pi\)
−0.947531 + 0.319664i \(0.896430\pi\)
\(168\) −100007. + 299651.i −0.273374 + 0.819109i
\(169\) 343361.i 0.924772i
\(170\) 42226.7 + 95524.2i 0.112064 + 0.253508i
\(171\) 289796. + 289796.i 0.757883 + 0.757883i
\(172\) −27610.5 586374.i −0.0711627 1.51131i
\(173\) −376017. + 376017.i −0.955196 + 0.955196i −0.999038 0.0438422i \(-0.986040\pi\)
0.0438422 + 0.999038i \(0.486040\pi\)
\(174\) −154136. + 398374.i −0.385949 + 0.997511i
\(175\) 117675. 0.290461
\(176\) −439389. + 530974.i −1.06922 + 1.29209i
\(177\) 368659. 0.884488
\(178\) −112032. + 289553.i −0.265027 + 0.684981i
\(179\) 16495.3 16495.3i 0.0384793 0.0384793i −0.687605 0.726085i \(-0.741338\pi\)
0.726085 + 0.687605i \(0.241338\pi\)
\(180\) −125534. + 5910.97i −0.288788 + 0.0135981i
\(181\) −64756.9 64756.9i −0.146923 0.146923i 0.629819 0.776742i \(-0.283129\pi\)
−0.776742 + 0.629819i \(0.783129\pi\)
\(182\) 71968.3 + 162805.i 0.161051 + 0.364325i
\(183\) 154785.i 0.341666i
\(184\) −448683. + 224134.i −0.977000 + 0.488048i
\(185\) 40485.8i 0.0869708i
\(186\) 144169. 63730.3i 0.305555 0.135071i
\(187\) −351469. 351469.i −0.734993 0.734993i
\(188\) 493677. + 449276.i 1.01870 + 0.927083i
\(189\) 493704. 493704.i 1.00534 1.00534i
\(190\) −344095. 133135.i −0.691504 0.267551i
\(191\) 496507. 0.984787 0.492393 0.870373i \(-0.336122\pi\)
0.492393 + 0.870373i \(0.336122\pi\)
\(192\) 42729.3 + 300696.i 0.0836512 + 0.588674i
\(193\) −258207. −0.498969 −0.249485 0.968379i \(-0.580261\pi\)
−0.249485 + 0.968379i \(0.580261\pi\)
\(194\) 260751. + 100888.i 0.497417 + 0.192457i
\(195\) 27383.7 27383.7i 0.0515710 0.0515710i
\(196\) −441199. 401518.i −0.820340 0.746560i
\(197\) −486630. 486630.i −0.893374 0.893374i 0.101465 0.994839i \(-0.467647\pi\)
−0.994839 + 0.101465i \(0.967647\pi\)
\(198\) 547032. 241817.i 0.991630 0.438352i
\(199\) 191663.i 0.343089i −0.985176 0.171544i \(-0.945124\pi\)
0.985176 0.171544i \(-0.0548757\pi\)
\(200\) 101212. 50558.9i 0.178919 0.0893764i
\(201\) 108634.i 0.189660i
\(202\) 440110. + 995605.i 0.758896 + 1.71676i
\(203\) −1.08462e6 1.08462e6i −1.84730 1.84730i
\(204\) −218799. + 10302.5i −0.368104 + 0.0173328i
\(205\) 169105. 169105.i 0.281042 0.281042i
\(206\) 315916. 816506.i 0.518685 1.34058i
\(207\) 435251. 0.706016
\(208\) 131849. + 109107.i 0.211309 + 0.174861i
\(209\) 1.75591e6 2.78058
\(210\) −89054.8 + 230168.i −0.139351 + 0.360161i
\(211\) −133840. + 133840.i −0.206958 + 0.206958i −0.802973 0.596015i \(-0.796750\pi\)
0.596015 + 0.802973i \(0.296750\pi\)
\(212\) 25450.0 + 540492.i 0.0388909 + 0.825942i
\(213\) 137083. + 137083.i 0.207031 + 0.207031i
\(214\) −313594. 709405.i −0.468095 1.05891i
\(215\) 458613.i 0.676628i
\(216\) 212513. 636753.i 0.309921 0.928616i
\(217\) 566030.i 0.816000i
\(218\) 72528.9 32061.6i 0.103364 0.0456924i
\(219\) −68714.0 68714.0i −0.0968133 0.0968133i
\(220\) −362403. + 398219.i −0.504819 + 0.554709i
\(221\) −87275.0 + 87275.0i −0.120201 + 0.120201i
\(222\) −79189.0 30639.2i −0.107841 0.0417249i
\(223\) 84519.7 0.113814 0.0569070 0.998379i \(-0.481876\pi\)
0.0569070 + 0.998379i \(0.481876\pi\)
\(224\) −1.04963e6 296230.i −1.39771 0.394466i
\(225\) −98181.9 −0.129293
\(226\) −257498. 99629.0i −0.335353 0.129752i
\(227\) 615963. 615963.i 0.793395 0.793395i −0.188649 0.982045i \(-0.560411\pi\)
0.982045 + 0.188649i \(0.0604109\pi\)
\(228\) 520815. 572285.i 0.663508 0.729080i
\(229\) 53816.6 + 53816.6i 0.0678153 + 0.0678153i 0.740201 0.672386i \(-0.234730\pi\)
−0.672386 + 0.740201i \(0.734730\pi\)
\(230\) −358381. + 158423.i −0.446710 + 0.197469i
\(231\) 1.17454e6i 1.44823i
\(232\) −1.39888e6 466870.i −1.70632 0.569477i
\(233\) 105869.i 0.127755i −0.997958 0.0638775i \(-0.979653\pi\)
0.997958 0.0638775i \(-0.0203467\pi\)
\(234\) −60046.7 135836.i −0.0716885 0.162172i
\(235\) 368749. + 368749.i 0.435573 + 0.435573i
\(236\) 59865.1 + 1.27138e6i 0.0699670 + 1.48592i
\(237\) 158958. 158958.i 0.183828 0.183828i
\(238\) 283828. 733572.i 0.324798 0.839461i
\(239\) 1.34879e6 1.52738 0.763692 0.645581i \(-0.223385\pi\)
0.763692 + 0.645581i \(0.223385\pi\)
\(240\) 22296.0 + 236229.i 0.0249861 + 0.264731i
\(241\) −586117. −0.650042 −0.325021 0.945707i \(-0.605371\pi\)
−0.325021 + 0.945707i \(0.605371\pi\)
\(242\) 595921. 1.54020e6i 0.654110 1.69059i
\(243\) −662107. + 662107.i −0.719304 + 0.719304i
\(244\) −533802. + 25135.0i −0.573991 + 0.0270274i
\(245\) −329551. 329551.i −0.350758 0.350758i
\(246\) 202787. + 458740.i 0.213650 + 0.483313i
\(247\) 436018.i 0.454739i
\(248\) 243195. + 486840.i 0.251087 + 0.502640i
\(249\) 1.05956e6i 1.08299i
\(250\) 80841.9 35736.4i 0.0818063 0.0361626i
\(251\) −709430. 709430.i −0.710764 0.710764i 0.255931 0.966695i \(-0.417618\pi\)
−0.966695 + 0.255931i \(0.917618\pi\)
\(252\) 699989. + 637033.i 0.694368 + 0.631918i
\(253\) 1.31862e6 1.31862e6i 1.29514 1.29514i
\(254\) 324268. + 125463.i 0.315370 + 0.122020i
\(255\) −171126. −0.164803
\(256\) −1.03006e6 + 196187.i −0.982341 + 0.187099i
\(257\) −63656.1 −0.0601184 −0.0300592 0.999548i \(-0.509570\pi\)
−0.0300592 + 0.999548i \(0.509570\pi\)
\(258\) 897032. + 347073.i 0.838993 + 0.324617i
\(259\) 215601. 215601.i 0.199711 0.199711i
\(260\) 98883.7 + 89990.2i 0.0907175 + 0.0825585i
\(261\) 904951. + 904951.i 0.822288 + 0.822288i
\(262\) −257877. + 113995.i −0.232091 + 0.102597i
\(263\) 124272.i 0.110786i 0.998465 + 0.0553930i \(0.0176412\pi\)
−0.998465 + 0.0553930i \(0.982359\pi\)
\(264\) −504641. 1.01022e6i −0.445628 0.892082i
\(265\) 422727.i 0.369782i
\(266\) 1.12344e6 + 2.54142e6i 0.973522 + 2.20228i
\(267\) −359708. 359708.i −0.308796 0.308796i
\(268\) −374642. + 17640.7i −0.318624 + 0.0150030i
\(269\) −20337.2 + 20337.2i −0.0171361 + 0.0171361i −0.715623 0.698487i \(-0.753857\pi\)
0.698487 + 0.715623i \(0.253857\pi\)
\(270\) 189240. 489103.i 0.157981 0.408311i
\(271\) −561937. −0.464798 −0.232399 0.972621i \(-0.574658\pi\)
−0.232399 + 0.972621i \(0.574658\pi\)
\(272\) −71059.8 752889.i −0.0582373 0.617034i
\(273\) −291656. −0.236845
\(274\) 612006. 1.58177e6i 0.492470 1.27282i
\(275\) −297447. + 297447.i −0.237180 + 0.237180i
\(276\) −38652.3 820875.i −0.0305424 0.648641i
\(277\) −66494.3 66494.3i −0.0520697 0.0520697i 0.680593 0.732662i \(-0.261722\pi\)
−0.732662 + 0.680593i \(0.761722\pi\)
\(278\) 426370. + 964524.i 0.330883 + 0.748516i
\(279\) 472267.i 0.363226i
\(280\) −808232. 269743.i −0.616085 0.205615i
\(281\) 2.09033e6i 1.57925i 0.613592 + 0.789623i \(0.289724\pi\)
−0.613592 + 0.789623i \(0.710276\pi\)
\(282\) −1.00033e6 + 442197.i −0.749064 + 0.331125i
\(283\) 682110. + 682110.i 0.506277 + 0.506277i 0.913382 0.407105i \(-0.133462\pi\)
−0.407105 + 0.913382i \(0.633462\pi\)
\(284\) −450493. + 495014.i −0.331430 + 0.364185i
\(285\) 427465. 427465.i 0.311737 0.311737i
\(286\) −593438. 229608.i −0.429003 0.165986i
\(287\) −1.80108e6 −1.29071
\(288\) 875759. + 247160.i 0.622162 + 0.175589i
\(289\) −874458. −0.615878
\(290\) −1.07451e6 415742.i −0.750268 0.290288i
\(291\) −323927. + 323927.i −0.224241 + 0.224241i
\(292\) 225813. 248129.i 0.154986 0.170302i
\(293\) −341569. 341569.i −0.232439 0.232439i 0.581271 0.813710i \(-0.302556\pi\)
−0.813710 + 0.581271i \(0.802556\pi\)
\(294\) 893991. 395191.i 0.603205 0.266648i
\(295\) 994365.i 0.665259i
\(296\) 92804.8 278071.i 0.0615660 0.184470i
\(297\) 2.49588e6i 1.64184i
\(298\) −509298. 1.15212e6i −0.332224 0.751549i
\(299\) −327432. 327432.i −0.211809 0.211809i
\(300\) 8719.01 + 185169.i 0.00559325 + 0.118786i
\(301\) −2.44227e6 + 2.44227e6i −1.55374 + 1.55374i
\(302\) −427125. + 1.10393e6i −0.269487 + 0.696507i
\(303\) −1.78357e6 −1.11605
\(304\) 2.05819e6 + 1.70318e6i 1.27732 + 1.05700i
\(305\) −417495. −0.256981
\(306\) −236812. + 612056.i −0.144577 + 0.373669i
\(307\) −942153. + 942153.i −0.570526 + 0.570526i −0.932275 0.361749i \(-0.882180\pi\)
0.361749 + 0.932275i \(0.382180\pi\)
\(308\) 4.05058e6 190729.i 2.43299 0.114562i
\(309\) 1.01433e6 + 1.01433e6i 0.604345 + 0.604345i
\(310\) 171896. + 388859.i 0.101593 + 0.229820i
\(311\) 188120.i 0.110289i −0.998478 0.0551446i \(-0.982438\pi\)
0.998478 0.0551446i \(-0.0175620\pi\)
\(312\) −250852. + 125310.i −0.145892 + 0.0728784i
\(313\) 585670.i 0.337903i −0.985624 0.168951i \(-0.945962\pi\)
0.985624 0.168951i \(-0.0540381\pi\)
\(314\) −1.63310e6 + 721916.i −0.934735 + 0.413202i
\(315\) 522853. + 522853.i 0.296895 + 0.296895i
\(316\) 574003. + 522378.i 0.323367 + 0.294284i
\(317\) −1.32593e6 + 1.32593e6i −0.741094 + 0.741094i −0.972789 0.231695i \(-0.925573\pi\)
0.231695 + 0.972789i \(0.425573\pi\)
\(318\) −826841. 319915.i −0.458516 0.177405i
\(319\) 5.48320e6 3.01687
\(320\) −811052. + 115251.i −0.442766 + 0.0629174i
\(321\) 1.27086e6 0.688390
\(322\) 2.75217e6 + 1.06485e6i 1.47923 + 0.572331i
\(323\) −1.36238e6 + 1.36238e6i −0.726595 + 0.726595i
\(324\) −89973.4 81881.3i −0.0476159 0.0433334i
\(325\) 73860.6 + 73860.6i 0.0387886 + 0.0387886i
\(326\) 1.29284e6 571504.i 0.673755 0.297835i
\(327\) 129931.i 0.0671962i
\(328\) −1.54911e6 + 773835.i −0.795053 + 0.397159i
\(329\) 3.92743e6i 2.00041i
\(330\) −356693. 806902.i −0.180306 0.407883i
\(331\) −2.11251e6 2.11251e6i −1.05981 1.05981i −0.998094 0.0617168i \(-0.980342\pi\)
−0.0617168 0.998094i \(-0.519658\pi\)
\(332\) −3.65405e6 + 172057.i −1.81940 + 0.0856698i
\(333\) −179887. + 179887.i −0.0888973 + 0.0888973i
\(334\) 470337. 1.21562e6i 0.230698 0.596253i
\(335\) −293013. −0.142651
\(336\) 1.13927e6 1.37674e6i 0.550527 0.665277i
\(337\) −3.64159e6 −1.74669 −0.873346 0.487100i \(-0.838055\pi\)
−0.873346 + 0.487100i \(0.838055\pi\)
\(338\) 700884. 1.81148e6i 0.333699 0.862467i
\(339\) 319886. 319886.i 0.151181 0.151181i
\(340\) −27788.5 590155.i −0.0130367 0.276866i
\(341\) −1.43076e6 1.43076e6i −0.666316 0.666316i
\(342\) −937342. 2.12043e6i −0.433344 0.980300i
\(343\) 345532.i 0.158582i
\(344\) −1.05127e6 + 3.14991e6i −0.478980 + 1.43517i
\(345\) 642019.i 0.290403i
\(346\) 2.75131e6 1.21622e6i 1.23552 0.546164i
\(347\) −666657. 666657.i −0.297221 0.297221i 0.542704 0.839924i \(-0.317401\pi\)
−0.839924 + 0.542704i \(0.817401\pi\)
\(348\) 1.62636e6 1.78708e6i 0.719892 0.791037i
\(349\) −626668. + 626668.i −0.275406 + 0.275406i −0.831272 0.555866i \(-0.812387\pi\)
0.555866 + 0.831272i \(0.312387\pi\)
\(350\) −620820. 240203.i −0.270892 0.104811i
\(351\) 619763. 0.268509
\(352\) 3.40194e6 1.90438e6i 1.46342 0.819212i
\(353\) −227754. −0.0972811 −0.0486406 0.998816i \(-0.515489\pi\)
−0.0486406 + 0.998816i \(0.515489\pi\)
\(354\) −1.94495e6 752524.i −0.824897 0.319163i
\(355\) −369748. + 369748.i −0.155717 + 0.155717i
\(356\) 1.18210e6 1.29892e6i 0.494343 0.543197i
\(357\) 911307. + 911307.i 0.378437 + 0.378437i
\(358\) −120696. + 53353.8i −0.0497719 + 0.0220018i
\(359\) 855379.i 0.350286i 0.984543 + 0.175143i \(0.0560387\pi\)
−0.984543 + 0.175143i \(0.943961\pi\)
\(360\) 674348. + 225060.i 0.274238 + 0.0915256i
\(361\) 4.33023e6i 1.74881i
\(362\) 209455. + 473825.i 0.0840079 + 0.190041i
\(363\) 1.91337e6 + 1.91337e6i 0.762135 + 0.762135i
\(364\) −47360.8 1.00582e6i −0.0187355 0.397893i
\(365\) 185339. 185339.i 0.0728172 0.0728172i
\(366\) 315955. 816606.i 0.123288 0.318647i
\(367\) 677534. 0.262583 0.131291 0.991344i \(-0.458088\pi\)
0.131291 + 0.991344i \(0.458088\pi\)
\(368\) 2.82464e6 266597.i 1.08729 0.102621i
\(369\) 1.50273e6 0.574534
\(370\) 82641.4 213592.i 0.0313829 0.0811113i
\(371\) 2.25117e6 2.25117e6i 0.849129 0.849129i
\(372\) −890686. + 41939.5i −0.333708 + 0.0157132i
\(373\) 16042.9 + 16042.9i 0.00597050 + 0.00597050i 0.710086 0.704115i \(-0.248656\pi\)
−0.704115 + 0.710086i \(0.748656\pi\)
\(374\) 1.13682e6 + 2.57169e6i 0.420255 + 0.950691i
\(375\) 144824.i 0.0531816i
\(376\) −1.68742e6 3.37797e6i −0.615537 1.23222i
\(377\) 1.36156e6i 0.493382i
\(378\) −3.61242e6 + 1.59688e6i −1.30037 + 0.574834i
\(379\) 2.12086e6 + 2.12086e6i 0.758426 + 0.758426i 0.976036 0.217610i \(-0.0698261\pi\)
−0.217610 + 0.976036i \(0.569826\pi\)
\(380\) 1.54359e6 + 1.40477e6i 0.548371 + 0.499051i
\(381\) −402834. + 402834.i −0.142172 + 0.142172i
\(382\) −2.61944e6 1.01349e6i −0.918438 0.355355i
\(383\) −4.12055e6 −1.43535 −0.717676 0.696377i \(-0.754794\pi\)
−0.717676 + 0.696377i \(0.754794\pi\)
\(384\) 388367. 1.67361e6i 0.134405 0.579198i
\(385\) 3.16802e6 1.08927
\(386\) 1.36223e6 + 527063.i 0.465352 + 0.180050i
\(387\) 2.03771e6 2.03771e6i 0.691616 0.691616i
\(388\) −1.16971e6 1.06451e6i −0.394457 0.358981i
\(389\) 282068. + 282068.i 0.0945106 + 0.0945106i 0.752781 0.658271i \(-0.228712\pi\)
−0.658271 + 0.752781i \(0.728712\pi\)
\(390\) −200366. + 88572.2i −0.0667056 + 0.0294874i
\(391\) 2.04619e6i 0.676868i
\(392\) 1.50805e6 + 3.01889e6i 0.495679 + 0.992276i
\(393\) 461971.i 0.150881i
\(394\) 1.57400e6 + 3.56066e6i 0.510815 + 1.15555i
\(395\) 428748. + 428748.i 0.138264 + 0.138264i
\(396\) −3.37960e6 + 159134.i −1.08300 + 0.0509948i
\(397\) 2.09410e6 2.09410e6i 0.666839 0.666839i −0.290144 0.956983i \(-0.593703\pi\)
0.956983 + 0.290144i \(0.0937032\pi\)
\(398\) −391232. + 1.01116e6i −0.123802 + 0.319974i
\(399\) −4.55280e6 −1.43168
\(400\) −637168. + 60137.7i −0.199115 + 0.0187930i
\(401\) 3.84199e6 1.19315 0.596575 0.802557i \(-0.296528\pi\)
0.596575 + 0.802557i \(0.296528\pi\)
\(402\) 221749. 573124.i 0.0684378 0.176882i
\(403\) −355278. + 355278.i −0.108970 + 0.108970i
\(404\) −289626. 6.15091e6i −0.0882846 1.87493i
\(405\) −67205.1 67205.1i −0.0203594 0.0203594i
\(406\) 3.50818e6 + 7.93613e6i 1.05625 + 2.38943i
\(407\) 1.08995e6i 0.326153i
\(408\) 1.17535e6 + 392269.i 0.349557 + 0.116663i
\(409\) 1.40769e6i 0.416100i 0.978118 + 0.208050i \(0.0667117\pi\)
−0.978118 + 0.208050i \(0.933288\pi\)
\(410\) −1.23733e6 + 546967.i −0.363519 + 0.160695i
\(411\) 1.96501e6 + 1.96501e6i 0.573800 + 0.573800i
\(412\) −3.33338e6 + 3.66281e6i −0.967479 + 1.06309i
\(413\) 5.29534e6 5.29534e6i 1.52763 1.52763i
\(414\) −2.29627e6 888454.i −0.658449 0.254762i
\(415\) −2.85789e6 −0.814564
\(416\) −472885. 844753.i −0.133975 0.239330i
\(417\) −1.72789e6 −0.486604
\(418\) −9.26369e6 3.58423e6i −2.59324 1.00336i
\(419\) −1.09349e6 + 1.09349e6i −0.304284 + 0.304284i −0.842687 0.538403i \(-0.819028\pi\)
0.538403 + 0.842687i \(0.319028\pi\)
\(420\) 939658. 1.03252e6i 0.259924 0.285612i
\(421\) 249622. + 249622.i 0.0686399 + 0.0686399i 0.740593 0.671953i \(-0.234545\pi\)
−0.671953 + 0.740593i \(0.734545\pi\)
\(422\) 979307. 432905.i 0.267694 0.118335i
\(423\) 3.27685e6i 0.890443i
\(424\) 969009. 2.90344e6i 0.261766 0.784329i
\(425\) 461569.i 0.123955i
\(426\) −443394. 1.00304e6i −0.118377 0.267789i
\(427\) 2.22330e6 + 2.22330e6i 0.590105 + 0.590105i
\(428\) 206370. + 4.38275e6i 0.0544548 + 1.15648i
\(429\) 737220. 737220.i 0.193399 0.193399i
\(430\) −936140. + 2.41952e6i −0.244157 + 0.631041i
\(431\) −1.20518e6 −0.312506 −0.156253 0.987717i \(-0.549941\pi\)
−0.156253 + 0.987717i \(0.549941\pi\)
\(432\) −2.42093e6 + 2.92554e6i −0.624126 + 0.754218i
\(433\) −1.67409e6 −0.429101 −0.214550 0.976713i \(-0.568829\pi\)
−0.214550 + 0.976713i \(0.568829\pi\)
\(434\) 1.15541e6 2.98622e6i 0.294449 0.761023i
\(435\) 1.33485e6 1.33485e6i 0.338228 0.338228i
\(436\) −448089. + 21099.0i −0.112888 + 0.00531553i
\(437\) −5.11129e6 5.11129e6i −1.28034 1.28034i
\(438\) 222255. + 502779.i 0.0553561 + 0.125225i
\(439\) 315411.i 0.0781117i −0.999237 0.0390559i \(-0.987565\pi\)
0.999237 0.0390559i \(-0.0124350\pi\)
\(440\) 2.72480e6 1.36114e6i 0.670971 0.335175i
\(441\) 2.92852e6i 0.717054i
\(442\) 638589. 282290.i 0.155477 0.0687289i
\(443\) 3.90144e6 + 3.90144e6i 0.944530 + 0.944530i 0.998540 0.0540105i \(-0.0172004\pi\)
−0.0540105 + 0.998540i \(0.517200\pi\)
\(444\) 355238. + 323288.i 0.0855188 + 0.0778274i
\(445\) 970222. 970222.i 0.232258 0.232258i
\(446\) −445903. 172525.i −0.106146 0.0410692i
\(447\) 2.06396e6 0.488576
\(448\) 4.93289e6 + 3.70538e6i 1.16120 + 0.872244i
\(449\) −5.37209e6 −1.25756 −0.628779 0.777584i \(-0.716445\pi\)
−0.628779 + 0.777584i \(0.716445\pi\)
\(450\) 517981. + 200413.i 0.120582 + 0.0466547i
\(451\) 4.55261e6 4.55261e6i 1.05395 1.05395i
\(452\) 1.15512e6 + 1.05123e6i 0.265939 + 0.242020i
\(453\) −1.37140e6 1.37140e6i −0.313992 0.313992i
\(454\) −4.50698e6 + 1.99232e6i −1.02623 + 0.453649i
\(455\) 786667.i 0.178140i
\(456\) −3.91585e6 + 1.95611e6i −0.881889 + 0.440536i
\(457\) 2.77078e6i 0.620600i 0.950639 + 0.310300i \(0.100430\pi\)
−0.950639 + 0.310300i \(0.899570\pi\)
\(458\) −174069. 393775.i −0.0387755 0.0877171i
\(459\) −1.93651e6 1.93651e6i −0.429031 0.429031i
\(460\) 2.21410e6 104255.i 0.487869 0.0229722i
\(461\) −5.30157e6 + 5.30157e6i −1.16186 + 1.16186i −0.177788 + 0.984069i \(0.556894\pi\)
−0.984069 + 0.177788i \(0.943106\pi\)
\(462\) −2.39752e6 + 6.19655e6i −0.522586 + 1.35066i
\(463\) 6.65061e6 1.44181 0.720906 0.693032i \(-0.243726\pi\)
0.720906 + 0.693032i \(0.243726\pi\)
\(464\) 6.42713e6 + 5.31854e6i 1.38587 + 1.14683i
\(465\) −696619. −0.149404
\(466\) −216104. + 558535.i −0.0460996 + 0.119148i
\(467\) 3.66531e6 3.66531e6i 0.777712 0.777712i −0.201730 0.979441i \(-0.564656\pi\)
0.979441 + 0.201730i \(0.0646562\pi\)
\(468\) 39515.4 + 839205.i 0.00833973 + 0.177114i
\(469\) 1.56040e6 + 1.56040e6i 0.327569 + 0.327569i
\(470\) −1.19271e6 2.69813e6i −0.249053 0.563401i
\(471\) 2.92560e6i 0.607664i
\(472\) 2.27936e6 6.82965e6i 0.470932 1.41105i
\(473\) 1.23467e7i 2.53745i
\(474\) −1.16309e6 + 514146.i −0.237775 + 0.105109i
\(475\) 1.15298e6 + 1.15298e6i 0.234470 + 0.234470i
\(476\) −2.99480e6 + 3.29077e6i −0.605829 + 0.665702i
\(477\) −1.87826e6 + 1.87826e6i −0.377973 + 0.377973i
\(478\) −7.11583e6 2.75320e6i −1.42448 0.551148i
\(479\) −6.25752e6 −1.24613 −0.623065 0.782170i \(-0.714113\pi\)
−0.623065 + 0.782170i \(0.714113\pi\)
\(480\) 364574. 1.29179e6i 0.0722242 0.255911i
\(481\) 270652. 0.0533394
\(482\) 3.09220e6 + 1.19641e6i 0.606247 + 0.234564i
\(483\) −3.41898e6 + 3.41898e6i −0.666851 + 0.666851i
\(484\) −6.28784e6 + 6.90925e6i −1.22008 + 1.34066i
\(485\) −873711. 873711.i −0.168661 0.168661i
\(486\) 4.84462e6 2.14158e6i 0.930398 0.411285i
\(487\) 2.88481e6i 0.551181i −0.961275 0.275590i \(-0.911127\pi\)
0.961275 0.275590i \(-0.0888734\pi\)
\(488\) 2.86750e6 + 957014.i 0.545072 + 0.181915i
\(489\) 2.31605e6i 0.438002i
\(490\) 1.06593e6 + 2.41131e6i 0.200557 + 0.453695i
\(491\) 4.39193e6 + 4.39193e6i 0.822151 + 0.822151i 0.986416 0.164265i \(-0.0525253\pi\)
−0.164265 + 0.986416i \(0.552525\pi\)
\(492\) −133450. 2.83412e6i −0.0248545 0.527845i
\(493\) −4.25433e6 + 4.25433e6i −0.788340 + 0.788340i
\(494\) −890019. + 2.30031e6i −0.164090 + 0.424101i
\(495\) −2.64324e6 −0.484868
\(496\) −289270. 3.06486e6i −0.0527957 0.559379i
\(497\) 3.93807e6 0.715143
\(498\) 2.16282e6 5.58994e6i 0.390792 1.01003i
\(499\) 3.90280e6 3.90280e6i 0.701657 0.701657i −0.263109 0.964766i \(-0.584748\pi\)
0.964766 + 0.263109i \(0.0847480\pi\)
\(500\) −499447. + 23517.3i −0.0893437 + 0.00420691i
\(501\) 1.51014e6 + 1.51014e6i 0.268797 + 0.268797i
\(502\) 2.29464e6 + 5.19088e6i 0.406402 + 0.919352i
\(503\) 4.35740e6i 0.767905i 0.923353 + 0.383952i \(0.125437\pi\)
−0.923353 + 0.383952i \(0.874563\pi\)
\(504\) −2.39261e6 4.78966e6i −0.419562 0.839902i
\(505\) 4.81072e6i 0.839425i
\(506\) −9.64829e6 + 4.26505e6i −1.67523 + 0.740539i
\(507\) 2.25038e6 + 2.25038e6i 0.388809 + 0.388809i
\(508\) −1.45465e6 1.32382e6i −0.250092 0.227599i
\(509\) −3.41041e6 + 3.41041e6i −0.583462 + 0.583462i −0.935853 0.352391i \(-0.885369\pi\)
0.352391 + 0.935853i \(0.385369\pi\)
\(510\) 902815. + 349310.i 0.153700 + 0.0594683i
\(511\) −1.97399e6 −0.334420
\(512\) 5.83478e6 + 1.06757e6i 0.983670 + 0.179979i
\(513\) 9.67463e6 1.62308
\(514\) 335833. + 129938.i 0.0560680 + 0.0216934i
\(515\) −2.73591e6 + 2.73591e6i −0.454552 + 0.454552i
\(516\) −4.02404e6 3.66212e6i −0.665331 0.605492i
\(517\) 9.92740e6 + 9.92740e6i 1.63346 + 1.63346i
\(518\) −1.57755e6 + 697359.i −0.258320 + 0.114191i
\(519\) 4.92881e6i 0.803200i
\(520\) −337991. 676610.i −0.0548147 0.109731i
\(521\) 6.70842e6i 1.08274i 0.840783 + 0.541372i \(0.182095\pi\)
−0.840783 + 0.541372i \(0.817905\pi\)
\(522\) −2.92705e6 6.62150e6i −0.470169 1.06360i
\(523\) −4.05929e6 4.05929e6i −0.648928 0.648928i 0.303806 0.952734i \(-0.401742\pi\)
−0.952734 + 0.303806i \(0.901742\pi\)
\(524\) 1.59318e6 75017.6i 0.253476 0.0119353i
\(525\) 771237. 771237.i 0.122121 0.122121i
\(526\) 253670. 655627.i 0.0399765 0.103322i
\(527\) 2.22021e6 0.348230
\(528\) 600248. + 6.35973e6i 0.0937014 + 0.992781i
\(529\) −1.24041e6 −0.192720
\(530\) 862890. 2.23020e6i 0.133434 0.344868i
\(531\) −4.41817e6 + 4.41817e6i −0.679995 + 0.679995i
\(532\) −739311. 1.57010e7i −0.113253 2.40519i
\(533\) −1.13048e6 1.13048e6i −0.172364 0.172364i
\(534\) 1.16347e6 + 2.63198e6i 0.176564 + 0.399419i
\(535\) 3.42782e6i 0.517766i
\(536\) 2.01252e6 + 671668.i 0.302571 + 0.100982i
\(537\) 216219.i 0.0323563i
\(538\) 148807. 65780.5i 0.0221650 0.00979809i
\(539\) −8.87212e6 8.87212e6i −1.31539 1.31539i
\(540\) −1.99676e6 + 2.19409e6i −0.294674 + 0.323795i
\(541\) −6.54418e6 + 6.54418e6i −0.961307 + 0.961307i −0.999279 0.0379721i \(-0.987910\pi\)
0.0379721 + 0.999279i \(0.487910\pi\)
\(542\) 2.96463e6 + 1.14705e6i 0.433483 + 0.167720i
\(543\) −848830. −0.123544
\(544\) −1.16194e6 + 4.11709e6i −0.168340 + 0.596476i
\(545\) −350457. −0.0505410
\(546\) 1.53870e6 + 595340.i 0.220888 + 0.0854641i
\(547\) 2.32882e6 2.32882e6i 0.332788 0.332788i −0.520856 0.853644i \(-0.674387\pi\)
0.853644 + 0.520856i \(0.174387\pi\)
\(548\) −6.45756e6 + 7.09574e6i −0.918580 + 1.00936i
\(549\) −1.85501e6 1.85501e6i −0.262673 0.262673i
\(550\) 2.17641e6 962089.i 0.306785 0.135615i
\(551\) 2.12542e7i 2.98240i
\(552\) −1.47169e6 + 4.40962e6i −0.205574 + 0.615961i
\(553\) 4.56647e6i 0.634991i
\(554\) 215075. + 486537.i 0.0297725 + 0.0673506i
\(555\) 265343. + 265343.i 0.0365658 + 0.0365658i
\(556\) −280585. 5.95889e6i −0.0384926 0.817483i
\(557\) 5.03610e6 5.03610e6i 0.687790 0.687790i −0.273953 0.961743i \(-0.588331\pi\)
0.961743 + 0.273953i \(0.0883313\pi\)
\(558\) −964012. + 2.49155e6i −0.131068 + 0.338754i
\(559\) −3.06587e6 −0.414977
\(560\) 3.71340e6 + 3.07289e6i 0.500382 + 0.414073i
\(561\) −4.60703e6 −0.618037
\(562\) 4.26688e6 1.10280e7i 0.569862 1.47285i
\(563\) −1.07805e6 + 1.07805e6i −0.143340 + 0.143340i −0.775135 0.631795i \(-0.782318\pi\)
0.631795 + 0.775135i \(0.282318\pi\)
\(564\) 6.18008e6 291000.i 0.818081 0.0385208i
\(565\) 862811. + 862811.i 0.113709 + 0.113709i
\(566\) −2.20627e6 4.99098e6i −0.289480 0.654854i
\(567\) 715782.i 0.0935025i
\(568\) 3.38712e6 1.69199e6i 0.440515 0.220053i
\(569\) 1.47166e7i 1.90558i −0.303626 0.952791i \(-0.598197\pi\)
0.303626 0.952791i \(-0.401803\pi\)
\(570\) −3.12775e6 + 1.38263e6i −0.403223 + 0.178246i
\(571\) 8.20240e6 + 8.20240e6i 1.05281 + 1.05281i 0.998525 + 0.0542867i \(0.0172885\pi\)
0.0542867 + 0.998525i \(0.482712\pi\)
\(572\) 2.66213e6 + 2.42270e6i 0.340204 + 0.309606i
\(573\) 3.25409e6 3.25409e6i 0.414041 0.414041i
\(574\) 9.50203e6 + 3.67645e6i 1.20375 + 0.465746i
\(575\) 1.73168e6 0.218423
\(576\) −4.11576e6 3.09159e6i −0.516884 0.388262i
\(577\) −3.37411e6 −0.421910 −0.210955 0.977496i \(-0.567657\pi\)
−0.210955 + 0.977496i \(0.567657\pi\)
\(578\) 4.61341e6 + 1.78498e6i 0.574384 + 0.222236i
\(579\) −1.69228e6 + 1.69228e6i −0.209785 + 0.209785i
\(580\) 4.82021e6 + 4.38668e6i 0.594971 + 0.541460i
\(581\) 1.52193e7 + 1.52193e7i 1.87048 + 1.87048i
\(582\) 2.37017e6 1.04774e6i 0.290049 0.128217i
\(583\) 1.13806e7i 1.38674i
\(584\) −1.69782e6 + 848124.i −0.205996 + 0.102903i
\(585\) 656355.i 0.0792957i
\(586\) 1.10480e6 + 2.49925e6i 0.132904 + 0.300653i
\(587\) −5.42676e6 5.42676e6i −0.650048 0.650048i 0.302957 0.953004i \(-0.402026\pi\)
−0.953004 + 0.302957i \(0.902026\pi\)
\(588\) −5.52314e6 + 260066.i −0.658783 + 0.0310199i
\(589\) −5.54597e6 + 5.54597e6i −0.658702 + 0.658702i
\(590\) 2.02974e6 5.24600e6i 0.240055 0.620438i
\(591\) −6.37872e6 −0.751215
\(592\) −1.05722e6 + 1.27759e6i −0.123983 + 0.149826i
\(593\) 2.28164e6 0.266447 0.133224 0.991086i \(-0.457467\pi\)
0.133224 + 0.991086i \(0.457467\pi\)
\(594\) 5.09469e6 1.31676e7i 0.592450 1.53123i
\(595\) −2.45802e6 + 2.45802e6i −0.284638 + 0.284638i
\(596\) 335158. + 7.11788e6i 0.0386486 + 0.820796i
\(597\) −1.25616e6 1.25616e6i −0.144247 0.144247i
\(598\) 1.05908e6 + 2.39581e6i 0.121108 + 0.273968i
\(599\) 6.49203e6i 0.739288i −0.929173 0.369644i \(-0.879480\pi\)
0.929173 0.369644i \(-0.120520\pi\)
\(600\) 331976. 994699.i 0.0376469 0.112801i
\(601\) 6.88707e6i 0.777765i 0.921287 + 0.388883i \(0.127139\pi\)
−0.921287 + 0.388883i \(0.872861\pi\)
\(602\) 1.78700e7 7.89950e6i 2.00972 0.888399i
\(603\) −1.30192e6 1.30192e6i −0.145811 0.145811i
\(604\) 4.50679e6 4.95219e6i 0.502661 0.552338i
\(605\) −5.16082e6 + 5.16082e6i −0.573232 + 0.573232i
\(606\) 9.40963e6 + 3.64070e6i 1.04086 + 0.402720i
\(607\) 3.80516e6 0.419180 0.209590 0.977789i \(-0.432787\pi\)
0.209590 + 0.977789i \(0.432787\pi\)
\(608\) −7.38183e6 1.31868e7i −0.809851 1.44670i
\(609\) −1.42171e7 −1.55335
\(610\) 2.20259e6 + 852208.i 0.239667 + 0.0927302i
\(611\) 2.46512e6 2.46512e6i 0.267138 0.267138i
\(612\) 2.49871e6 2.74565e6i 0.269673 0.296324i
\(613\) 3.28114e6 + 3.28114e6i 0.352675 + 0.352675i 0.861104 0.508429i \(-0.169774\pi\)
−0.508429 + 0.861104i \(0.669774\pi\)
\(614\) 6.89371e6 3.04738e6i 0.737959 0.326216i
\(615\) 2.21661e6i 0.236321i
\(616\) −2.17591e7 7.26199e6i −2.31041 0.771088i
\(617\) 8.55203e6i 0.904391i 0.891919 + 0.452196i \(0.149359\pi\)
−0.891919 + 0.452196i \(0.850641\pi\)
\(618\) −3.28085e6 7.42186e6i −0.345554 0.781703i
\(619\) 4.94184e6 + 4.94184e6i 0.518396 + 0.518396i 0.917086 0.398690i \(-0.130535\pi\)
−0.398690 + 0.917086i \(0.630535\pi\)
\(620\) −113121. 2.40240e6i −0.0118186 0.250996i
\(621\) 7.26527e6 7.26527e6i 0.756002 0.756002i
\(622\) −383998. + 992468.i −0.0397972 + 0.102859i
\(623\) −1.03335e7 −1.06667
\(624\) 1.57922e6 149051.i 0.162360 0.0153240i
\(625\) −390625. −0.0400000
\(626\) −1.19549e6 + 3.08983e6i −0.121930 + 0.315137i
\(627\) 1.15082e7 1.15082e7i 1.16906 1.16906i
\(628\) 1.00894e7 475077.i 1.02086 0.0480690i
\(629\) −845678. 845678.i −0.0852272 0.0852272i
\(630\) −1.69116e6 3.82570e6i −0.169759 0.384025i
\(631\) 1.29565e7i 1.29543i −0.761883 0.647714i \(-0.775725\pi\)
0.761883 0.647714i \(-0.224275\pi\)
\(632\) −1.96198e6 3.92760e6i −0.195390 0.391142i
\(633\) 1.75437e6i 0.174025i
\(634\) 9.70181e6 4.28871e6i 0.958583 0.423744i
\(635\) −1.08654e6 1.08654e6i −0.106933 0.106933i
\(636\) 3.70917e6 + 3.37557e6i 0.363608 + 0.330906i
\(637\) −2.20308e6 + 2.20308e6i −0.215120 + 0.215120i
\(638\) −2.89279e7 1.11925e7i −2.81361 1.08862i
\(639\) −3.28573e6 −0.318332
\(640\) 4.51415e6 + 1.04752e6i 0.435638 + 0.101091i
\(641\) −1.14049e7 −1.09634 −0.548170 0.836367i \(-0.684675\pi\)
−0.548170 + 0.836367i \(0.684675\pi\)
\(642\) −6.70471e6 2.59413e6i −0.642011 0.248402i
\(643\) 3.99894e6 3.99894e6i 0.381432 0.381432i −0.490186 0.871618i \(-0.663071\pi\)
0.871618 + 0.490186i \(0.163071\pi\)
\(644\) −1.23461e7 1.12357e7i −1.17304 1.06754i
\(645\) −3.00573e6 3.00573e6i −0.284480 0.284480i
\(646\) 9.96850e6 4.40660e6i 0.939829 0.415453i
\(647\) 7.77701e6i 0.730386i 0.930932 + 0.365193i \(0.118997\pi\)
−0.930932 + 0.365193i \(0.881003\pi\)
\(648\) 307536. + 615641.i 0.0287712 + 0.0575957i
\(649\) 2.67701e7i 2.49482i
\(650\) −238901. 540436.i −0.0221786 0.0501719i
\(651\) 3.70974e6 + 3.70974e6i 0.343077 + 0.343077i
\(652\) −7.98727e6 + 376094.i −0.735833 + 0.0346480i
\(653\) 4.22723e6 4.22723e6i 0.387948 0.387948i −0.486007 0.873955i \(-0.661547\pi\)
0.873955 + 0.486007i \(0.161547\pi\)
\(654\) 265222. 685483.i 0.0242474 0.0626689i
\(655\) 1.24605e6 0.113483
\(656\) 9.75225e6 920444.i 0.884800 0.0835098i
\(657\) 1.64700e6 0.148860
\(658\) −8.01685e6 + 2.07201e7i −0.721837 + 1.86564i
\(659\) −1.35510e7 + 1.35510e7i −1.21551 + 1.21551i −0.246321 + 0.969188i \(0.579222\pi\)
−0.969188 + 0.246321i \(0.920778\pi\)
\(660\) 234732. + 4.98509e6i 0.0209755 + 0.445465i
\(661\) −9.65407e6 9.65407e6i −0.859423 0.859423i 0.131847 0.991270i \(-0.457909\pi\)
−0.991270 + 0.131847i \(0.957909\pi\)
\(662\) 6.83287e6 + 1.54572e7i 0.605980 + 1.37083i
\(663\) 1.14400e6i 0.101074i
\(664\) 1.96290e7 + 6.55108e6i 1.72774 + 0.576624i
\(665\) 1.22800e7i 1.07683i
\(666\) 1.31623e6 581841.i 0.114986 0.0508299i
\(667\) −1.59611e7 1.59611e7i −1.38915 1.38915i
\(668\) −4.96274e6 + 5.45319e6i −0.430309 + 0.472835i
\(669\) 553940. 553940.i 0.0478517 0.0478517i
\(670\) 1.54586e6 + 598111.i 0.133040 + 0.0514748i
\(671\) −1.12397e7 −0.963717
\(672\) −8.82073e6 + 4.93777e6i −0.753497 + 0.421801i
\(673\) 1.70638e7 1.45224 0.726120 0.687568i \(-0.241322\pi\)
0.726120 + 0.687568i \(0.241322\pi\)
\(674\) 1.92120e7 + 7.43337e6i 1.62901 + 0.630284i
\(675\) −1.63886e6 + 1.63886e6i −0.138447 + 0.138447i
\(676\) −7.39535e6 + 8.12621e6i −0.622432 + 0.683945i
\(677\) 2.10965e6 + 2.10965e6i 0.176904 + 0.176904i 0.790005 0.613101i \(-0.210078\pi\)
−0.613101 + 0.790005i \(0.710078\pi\)
\(678\) −2.34060e6 + 1.03467e6i −0.195548 + 0.0864422i
\(679\) 9.30564e6i 0.774590i
\(680\) −1.05805e6 + 3.17022e6i −0.0877470 + 0.262916i
\(681\) 8.07400e6i 0.667146i
\(682\) 4.62776e6 + 1.04688e7i 0.380987 + 0.861860i
\(683\) −842946. 842946.i −0.0691430 0.0691430i 0.671690 0.740833i \(-0.265569\pi\)
−0.740833 + 0.671690i \(0.765569\pi\)
\(684\) 616844. + 1.31002e7i 0.0504121 + 1.07062i
\(685\) −5.30012e6 + 5.30012e6i −0.431578 + 0.431578i
\(686\) 705315. 1.82293e6i 0.0572233 0.147897i
\(687\) 705425. 0.0570241
\(688\) 1.19759e7 1.44722e7i 0.964581 1.16564i
\(689\) 2.82597e6 0.226788
\(690\) −1.31052e6 + 3.38712e6i −0.104790 + 0.270837i
\(691\) 1.59221e7 1.59221e7i 1.26854 1.26854i 0.321700 0.946842i \(-0.395746\pi\)
0.946842 0.321700i \(-0.104254\pi\)
\(692\) −1.69978e7 + 800370.i −1.34936 + 0.0635368i
\(693\) 1.40762e7 + 1.40762e7i 1.11340 + 1.11340i
\(694\) 2.15629e6 + 4.87791e6i 0.169945 + 0.384446i
\(695\) 4.66054e6i 0.365995i
\(696\) −1.22281e7 + 6.10838e6i −0.956831 + 0.477973i
\(697\) 7.06460e6i 0.550815i
\(698\) 4.58531e6 2.02695e6i 0.356230 0.157472i
\(699\) −693860. 693860.i −0.0537129 0.0537129i
\(700\) 2.78497e6 + 2.53449e6i 0.214820 + 0.195499i
\(701\) −1.68894e7 + 1.68894e7i −1.29813 + 1.29813i −0.368509 + 0.929624i \(0.620132\pi\)
−0.929624 + 0.368509i \(0.879868\pi\)
\(702\) −3.26970e6 1.26509e6i −0.250418 0.0968898i
\(703\) 4.22493e6 0.322427
\(704\) −2.18350e7 + 3.10278e6i −1.66044 + 0.235950i
\(705\) 4.83354e6 0.366262
\(706\) 1.20157e6 + 464901.i 0.0907269 + 0.0351033i
\(707\) −2.56188e7 + 2.56188e7i −1.92757 + 1.92757i
\(708\) 8.72493e6 + 7.94022e6i 0.654152 + 0.595319i
\(709\) −1.49066e7 1.49066e7i −1.11369 1.11369i −0.992648 0.121038i \(-0.961378\pi\)
−0.121038 0.992648i \(-0.538622\pi\)
\(710\) 2.70544e6 1.19594e6i 0.201415 0.0890359i
\(711\) 3.81003e6i 0.282654i
\(712\) −8.88784e6 + 4.43981e6i −0.657047 + 0.328219i
\(713\) 8.32962e6i 0.613622i
\(714\) −2.94761e6 6.66801e6i −0.216384 0.489498i
\(715\) 1.98846e6 + 1.98846e6i 0.145463 + 0.145463i
\(716\) 745666. 35111.0i 0.0543578 0.00255953i
\(717\) 8.83990e6 8.83990e6i 0.642169 0.642169i
\(718\) 1.74604e6 4.51275e6i 0.126399 0.326686i
\(719\) 2.09230e7 1.50939 0.754697 0.656074i \(-0.227784\pi\)
0.754697 + 0.656074i \(0.227784\pi\)
\(720\) −3.09827e6 2.56387e6i −0.222735 0.184316i
\(721\) 2.91394e7 2.08758
\(722\) −8.83905e6 + 2.28451e7i −0.631048 + 1.63099i
\(723\) −3.84139e6 + 3.84139e6i −0.273302 + 0.273302i
\(724\) −137838. 2.92732e6i −0.00977288 0.207551i
\(725\) 3.60043e6 + 3.60043e6i 0.254395 + 0.254395i
\(726\) −6.18876e6 1.40001e7i −0.435775 0.985799i
\(727\) 1.67529e6i 0.117558i 0.998271 + 0.0587791i \(0.0187207\pi\)
−0.998271 + 0.0587791i \(0.981279\pi\)
\(728\) −1.80326e6 + 5.40311e6i −0.126104 + 0.377846i
\(729\) 7.75504e6i 0.540462i
\(730\) −1.35612e6 + 599476.i −0.0941869 + 0.0416355i
\(731\) 9.57961e6 + 9.57961e6i 0.663063 + 0.663063i
\(732\) −3.33378e6 + 3.66325e6i −0.229964 + 0.252691i
\(733\) 9.15341e6 9.15341e6i 0.629249 0.629249i −0.318630 0.947879i \(-0.603223\pi\)
0.947879 + 0.318630i \(0.103223\pi\)
\(734\) −3.57449e6 1.38301e6i −0.244891 0.0947514i
\(735\) −4.31973e6 −0.294943
\(736\) −1.54462e7 4.35928e6i −1.05106 0.296634i
\(737\) −7.88845e6 −0.534962
\(738\) −7.92801e6 3.06744e6i −0.535826 0.207317i
\(739\) 1.40631e7 1.40631e7i 0.947264 0.947264i −0.0514130 0.998677i \(-0.516372\pi\)
0.998677 + 0.0514130i \(0.0163725\pi\)
\(740\) −871988. + 958164.i −0.0585371 + 0.0643221i
\(741\) −2.85765e6 2.85765e6i −0.191189 0.191189i
\(742\) −1.64718e7 + 7.28138e6i −1.09832 + 0.485517i
\(743\) 7.51352e6i 0.499312i −0.968335 0.249656i \(-0.919683\pi\)
0.968335 0.249656i \(-0.0803175\pi\)
\(744\) 4.78463e6 + 1.59685e6i 0.316895 + 0.105762i
\(745\) 5.56701e6i 0.367478i
\(746\) −51890.5 117385.i −0.00341382 0.00772267i
\(747\) −1.26982e7 1.26982e7i −0.832607 0.832607i
\(748\) −748117. 1.58881e7i −0.0488895 1.03829i
\(749\) 1.82543e7 1.82543e7i 1.18895 1.18895i
\(750\) 295620. 764050.i 0.0191903 0.0495985i
\(751\) 2.28474e7 1.47821 0.739106 0.673589i \(-0.235248\pi\)
0.739106 + 0.673589i \(0.235248\pi\)
\(752\) 2.00712e6 + 2.12657e7i 0.129428 + 1.37131i
\(753\) −9.29917e6 −0.597663
\(754\) −2.77928e6 + 7.18322e6i −0.178034 + 0.460141i
\(755\) 3.69901e6 3.69901e6i 0.236166 0.236166i
\(756\) 2.23178e7 1.05087e6i 1.42019 0.0668720i
\(757\) 3.31030e6 + 3.31030e6i 0.209956 + 0.209956i 0.804249 0.594293i \(-0.202568\pi\)
−0.594293 + 0.804249i \(0.702568\pi\)
\(758\) −6.85988e6 1.55182e7i −0.433654 0.981001i
\(759\) 1.72844e7i 1.08905i
\(760\) −5.27612e6 1.05620e7i −0.331345 0.663304i
\(761\) 6.71250e6i 0.420167i 0.977683 + 0.210084i \(0.0673737\pi\)
−0.977683 + 0.210084i \(0.932626\pi\)
\(762\) 2.94753e6 1.30296e6i 0.183895 0.0812913i
\(763\) 1.86631e6