Properties

Label 80.6.l.a.21.8
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 21.8
Character \(\chi\) \(=\) 80.21
Dual form 80.6.l.a.61.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.51701 + 3.40538i) q^{2} +(-7.38373 + 7.38373i) q^{3} +(8.80677 - 30.7643i) q^{4} +(17.6777 + 17.6777i) q^{5} +(8.20797 - 58.4968i) q^{6} -74.1496i q^{7} +(64.9838 + 168.953i) q^{8} +133.961i q^{9} +O(q^{10})\) \(q+(-4.51701 + 3.40538i) q^{2} +(-7.38373 + 7.38373i) q^{3} +(8.80677 - 30.7643i) q^{4} +(17.6777 + 17.6777i) q^{5} +(8.20797 - 58.4968i) q^{6} -74.1496i q^{7} +(64.9838 + 168.953i) q^{8} +133.961i q^{9} +(-140.049 - 19.6510i) q^{10} +(383.330 + 383.330i) q^{11} +(162.128 + 292.182i) q^{12} +(289.013 - 289.013i) q^{13} +(252.508 + 334.935i) q^{14} -261.054 q^{15} +(-868.882 - 541.868i) q^{16} -206.336 q^{17} +(-456.188 - 605.104i) q^{18} +(-1954.83 + 1954.83i) q^{19} +(699.524 - 388.158i) q^{20} +(547.501 + 547.501i) q^{21} +(-3036.89 - 426.121i) q^{22} -1865.72i q^{23} +(-1727.33 - 767.680i) q^{24} +625.000i q^{25} +(-321.275 + 2289.67i) q^{26} +(-2783.38 - 2783.38i) q^{27} +(-2281.16 - 653.019i) q^{28} +(-2041.63 + 2041.63i) q^{29} +(1179.18 - 888.989i) q^{30} -9379.23 q^{31} +(5770.01 - 511.251i) q^{32} -5660.81 q^{33} +(932.022 - 702.653i) q^{34} +(1310.79 - 1310.79i) q^{35} +(4121.22 + 1179.76i) q^{36} +(444.563 + 444.563i) q^{37} +(2173.05 - 15487.0i) q^{38} +4267.98i q^{39} +(-1837.93 + 4135.46i) q^{40} +20896.8i q^{41} +(-4337.52 - 608.618i) q^{42} +(6084.75 + 6084.75i) q^{43} +(15168.8 - 8416.97i) q^{44} +(-2368.12 + 2368.12i) q^{45} +(6353.47 + 8427.46i) q^{46} -20403.6 q^{47} +(10416.6 - 2414.58i) q^{48} +11308.8 q^{49} +(-2128.36 - 2823.13i) q^{50} +(1523.53 - 1523.53i) q^{51} +(-6346.00 - 11436.5i) q^{52} +(6314.88 + 6314.88i) q^{53} +(22051.0 + 3094.09i) q^{54} +13552.8i q^{55} +(12527.8 - 4818.53i) q^{56} -28867.9i q^{57} +(2269.54 - 16174.6i) q^{58} +(-7624.90 - 7624.90i) q^{59} +(-2299.04 + 8031.15i) q^{60} +(14421.3 - 14421.3i) q^{61} +(42366.1 - 31939.8i) q^{62} +9933.17 q^{63} +(-24322.2 + 21958.4i) q^{64} +10218.1 q^{65} +(25569.9 - 19277.2i) q^{66} +(-20777.0 + 20777.0i) q^{67} +(-1817.15 + 6347.78i) q^{68} +(13775.9 + 13775.9i) q^{69} +(-1457.12 + 10384.6i) q^{70} +5076.70i q^{71} +(-22633.1 + 8705.30i) q^{72} +69584.3i q^{73} +(-3522.00 - 494.190i) q^{74} +(-4614.83 - 4614.83i) q^{75} +(42923.3 + 77354.9i) q^{76} +(28423.8 - 28423.8i) q^{77} +(-14534.1 - 19278.5i) q^{78} -24659.6 q^{79} +(-5780.85 - 24938.8i) q^{80} +8550.88 q^{81} +(-71161.6 - 94391.1i) q^{82} +(6046.41 - 6046.41i) q^{83} +(21665.2 - 12021.8i) q^{84} +(-3647.54 - 3647.54i) q^{85} +(-48205.7 - 6763.99i) q^{86} -30149.7i q^{87} +(-39854.5 + 89675.0i) q^{88} -9618.79i q^{89} +(2632.47 - 18761.2i) q^{90} +(-21430.2 - 21430.2i) q^{91} +(-57397.4 - 16430.9i) q^{92} +(69253.7 - 69253.7i) q^{93} +(92163.3 - 69482.0i) q^{94} -69113.9 q^{95} +(-38829.3 + 46379.2i) q^{96} -108651. q^{97} +(-51082.1 + 38510.9i) q^{98} +(-51351.3 + 51351.3i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.51701 + 3.40538i −0.798502 + 0.601992i
\(3\) −7.38373 + 7.38373i −0.473666 + 0.473666i −0.903099 0.429433i \(-0.858714\pi\)
0.429433 + 0.903099i \(0.358714\pi\)
\(4\) 8.80677 30.7643i 0.275211 0.961384i
\(5\) 17.6777 + 17.6777i 0.316228 + 0.316228i
\(6\) 8.20797 58.4968i 0.0930803 0.663367i
\(7\) 74.1496i 0.571958i −0.958236 0.285979i \(-0.907681\pi\)
0.958236 0.285979i \(-0.0923187\pi\)
\(8\) 64.9838 + 168.953i 0.358988 + 0.933342i
\(9\) 133.961i 0.551280i
\(10\) −140.049 19.6510i −0.442875 0.0621420i
\(11\) 383.330 + 383.330i 0.955193 + 0.955193i 0.999038 0.0438453i \(-0.0139609\pi\)
−0.0438453 + 0.999038i \(0.513961\pi\)
\(12\) 162.128 + 292.182i 0.325017 + 0.585734i
\(13\) 289.013 289.013i 0.474306 0.474306i −0.428999 0.903305i \(-0.641134\pi\)
0.903305 + 0.428999i \(0.141134\pi\)
\(14\) 252.508 + 334.935i 0.344314 + 0.456710i
\(15\) −261.054 −0.299573
\(16\) −868.882 541.868i −0.848517 0.529168i
\(17\) −206.336 −0.173162 −0.0865811 0.996245i \(-0.527594\pi\)
−0.0865811 + 0.996245i \(0.527594\pi\)
\(18\) −456.188 605.104i −0.331866 0.440198i
\(19\) −1954.83 + 1954.83i −1.24230 + 1.24230i −0.283254 + 0.959045i \(0.591414\pi\)
−0.959045 + 0.283254i \(0.908586\pi\)
\(20\) 699.524 388.158i 0.391046 0.216987i
\(21\) 547.501 + 547.501i 0.270917 + 0.270917i
\(22\) −3036.89 426.121i −1.33774 0.187705i
\(23\) 1865.72i 0.735404i −0.929944 0.367702i \(-0.880145\pi\)
0.929944 0.367702i \(-0.119855\pi\)
\(24\) −1727.33 767.680i −0.612134 0.272052i
\(25\) 625.000i 0.200000i
\(26\) −321.275 + 2289.67i −0.0932060 + 0.664262i
\(27\) −2783.38 2783.38i −0.734789 0.734789i
\(28\) −2281.16 653.019i −0.549871 0.157409i
\(29\) −2041.63 + 2041.63i −0.450799 + 0.450799i −0.895620 0.444821i \(-0.853267\pi\)
0.444821 + 0.895620i \(0.353267\pi\)
\(30\) 1179.18 888.989i 0.239210 0.180341i
\(31\) −9379.23 −1.75292 −0.876462 0.481471i \(-0.840102\pi\)
−0.876462 + 0.481471i \(0.840102\pi\)
\(32\) 5770.01 511.251i 0.996098 0.0882590i
\(33\) −5660.81 −0.904886
\(34\) 932.022 702.653i 0.138270 0.104242i
\(35\) 1310.79 1310.79i 0.180869 0.180869i
\(36\) 4121.22 + 1179.76i 0.529992 + 0.151719i
\(37\) 444.563 + 444.563i 0.0533862 + 0.0533862i 0.733296 0.679910i \(-0.237981\pi\)
−0.679910 + 0.733296i \(0.737981\pi\)
\(38\) 2173.05 15487.0i 0.244124 1.73983i
\(39\) 4267.98i 0.449325i
\(40\) −1837.93 + 4135.46i −0.181627 + 0.408671i
\(41\) 20896.8i 1.94142i 0.240247 + 0.970712i \(0.422772\pi\)
−0.240247 + 0.970712i \(0.577228\pi\)
\(42\) −4337.52 608.618i −0.379418 0.0532380i
\(43\) 6084.75 + 6084.75i 0.501847 + 0.501847i 0.912012 0.410165i \(-0.134529\pi\)
−0.410165 + 0.912012i \(0.634529\pi\)
\(44\) 15168.8 8416.97i 1.18119 0.655427i
\(45\) −2368.12 + 2368.12i −0.174330 + 0.174330i
\(46\) 6353.47 + 8427.46i 0.442707 + 0.587222i
\(47\) −20403.6 −1.34729 −0.673647 0.739053i \(-0.735273\pi\)
−0.673647 + 0.739053i \(0.735273\pi\)
\(48\) 10416.6 2414.58i 0.652563 0.151265i
\(49\) 11308.8 0.672864
\(50\) −2128.36 2823.13i −0.120398 0.159700i
\(51\) 1523.53 1523.53i 0.0820211 0.0820211i
\(52\) −6346.00 11436.5i −0.325455 0.586524i
\(53\) 6314.88 + 6314.88i 0.308799 + 0.308799i 0.844443 0.535645i \(-0.179931\pi\)
−0.535645 + 0.844443i \(0.679931\pi\)
\(54\) 22051.0 + 3094.09i 1.02907 + 0.144394i
\(55\) 13552.8i 0.604117i
\(56\) 12527.8 4818.53i 0.533832 0.205326i
\(57\) 28867.9i 1.17687i
\(58\) 2269.54 16174.6i 0.0885866 0.631341i
\(59\) −7624.90 7624.90i −0.285170 0.285170i 0.549997 0.835167i \(-0.314629\pi\)
−0.835167 + 0.549997i \(0.814629\pi\)
\(60\) −2299.04 + 8031.15i −0.0824459 + 0.288005i
\(61\) 14421.3 14421.3i 0.496225 0.496225i −0.414036 0.910261i \(-0.635881\pi\)
0.910261 + 0.414036i \(0.135881\pi\)
\(62\) 42366.1 31939.8i 1.39971 1.05525i
\(63\) 9933.17 0.315309
\(64\) −24322.2 + 21958.4i −0.742255 + 0.670118i
\(65\) 10218.1 0.299977
\(66\) 25569.9 19277.2i 0.722553 0.544734i
\(67\) −20777.0 + 20777.0i −0.565452 + 0.565452i −0.930851 0.365399i \(-0.880933\pi\)
0.365399 + 0.930851i \(0.380933\pi\)
\(68\) −1817.15 + 6347.78i −0.0476562 + 0.166475i
\(69\) 13775.9 + 13775.9i 0.348336 + 0.348336i
\(70\) −1457.12 + 10384.6i −0.0355426 + 0.253306i
\(71\) 5076.70i 0.119519i 0.998213 + 0.0597593i \(0.0190333\pi\)
−0.998213 + 0.0597593i \(0.980967\pi\)
\(72\) −22633.1 + 8705.30i −0.514533 + 0.197903i
\(73\) 69584.3i 1.52828i 0.645048 + 0.764142i \(0.276838\pi\)
−0.645048 + 0.764142i \(0.723162\pi\)
\(74\) −3522.00 494.190i −0.0747671 0.0104909i
\(75\) −4614.83 4614.83i −0.0947333 0.0947333i
\(76\) 42923.3 + 77354.9i 0.852431 + 1.53622i
\(77\) 28423.8 28423.8i 0.546330 0.546330i
\(78\) −14534.1 19278.5i −0.270490 0.358787i
\(79\) −24659.6 −0.444547 −0.222274 0.974984i \(-0.571348\pi\)
−0.222274 + 0.974984i \(0.571348\pi\)
\(80\) −5780.85 24938.8i −0.100987 0.435662i
\(81\) 8550.88 0.144810
\(82\) −71161.6 94391.1i −1.16872 1.55023i
\(83\) 6046.41 6046.41i 0.0963391 0.0963391i −0.657295 0.753634i \(-0.728299\pi\)
0.753634 + 0.657295i \(0.228299\pi\)
\(84\) 21665.2 12021.8i 0.335015 0.185896i
\(85\) −3647.54 3647.54i −0.0547587 0.0547587i
\(86\) −48205.7 6763.99i −0.702834 0.0986181i
\(87\) 30149.7i 0.427057i
\(88\) −39854.5 + 89675.0i −0.548619 + 1.23442i
\(89\) 9618.79i 0.128720i −0.997927 0.0643599i \(-0.979499\pi\)
0.997927 0.0643599i \(-0.0205006\pi\)
\(90\) 2632.47 18761.2i 0.0342577 0.244148i
\(91\) −21430.2 21430.2i −0.271283 0.271283i
\(92\) −57397.4 16430.9i −0.707005 0.202392i
\(93\) 69253.7 69253.7i 0.830301 0.830301i
\(94\) 92163.3 69482.0i 1.07582 0.811060i
\(95\) −69113.9 −0.785699
\(96\) −38829.3 + 46379.2i −0.430013 + 0.513623i
\(97\) −108651. −1.17248 −0.586238 0.810139i \(-0.699392\pi\)
−0.586238 + 0.810139i \(0.699392\pi\)
\(98\) −51082.1 + 38510.9i −0.537284 + 0.405059i
\(99\) −51351.3 + 51351.3i −0.526579 + 0.526579i
\(100\) 19227.7 + 5504.23i 0.192277 + 0.0550423i
\(101\) −10122.4 10122.4i −0.0987372 0.0987372i 0.656013 0.754750i \(-0.272242\pi\)
−0.754750 + 0.656013i \(0.772242\pi\)
\(102\) −1693.60 + 12070.0i −0.0161180 + 0.114870i
\(103\) 111553.i 1.03607i 0.855360 + 0.518034i \(0.173336\pi\)
−0.855360 + 0.518034i \(0.826664\pi\)
\(104\) 67610.7 + 30048.4i 0.612960 + 0.272419i
\(105\) 19357.1i 0.171343i
\(106\) −50028.9 7019.81i −0.432471 0.0606821i
\(107\) −129912. 129912.i −1.09696 1.09696i −0.994764 0.102194i \(-0.967414\pi\)
−0.102194 0.994764i \(-0.532586\pi\)
\(108\) −110141. + 61116.1i −0.908637 + 0.504192i
\(109\) 107123. 107123.i 0.863606 0.863606i −0.128149 0.991755i \(-0.540903\pi\)
0.991755 + 0.128149i \(0.0409034\pi\)
\(110\) −46152.3 61218.0i −0.363674 0.482389i
\(111\) −6565.07 −0.0505745
\(112\) −40179.3 + 64427.3i −0.302662 + 0.485316i
\(113\) 257827. 1.89947 0.949735 0.313056i \(-0.101353\pi\)
0.949735 + 0.313056i \(0.101353\pi\)
\(114\) 98306.3 + 130397.i 0.708467 + 0.939734i
\(115\) 32981.5 32981.5i 0.232555 0.232555i
\(116\) 44829.2 + 80789.6i 0.309326 + 0.557456i
\(117\) 38716.4 + 38716.4i 0.261475 + 0.261475i
\(118\) 60407.5 + 8476.07i 0.399379 + 0.0560389i
\(119\) 15299.8i 0.0990414i
\(120\) −16964.3 44105.9i −0.107543 0.279604i
\(121\) 132833.i 0.824787i
\(122\) −16031.1 + 114251.i −0.0975133 + 0.694960i
\(123\) −154296. 154296.i −0.919587 0.919587i
\(124\) −82600.7 + 288545.i −0.482425 + 1.68523i
\(125\) −11048.5 + 11048.5i −0.0632456 + 0.0632456i
\(126\) −44868.2 + 33826.2i −0.251775 + 0.189813i
\(127\) 79411.2 0.436890 0.218445 0.975849i \(-0.429901\pi\)
0.218445 + 0.975849i \(0.429901\pi\)
\(128\) 35086.9 182013.i 0.189287 0.981922i
\(129\) −89856.2 −0.475416
\(130\) −46155.4 + 34796.6i −0.239533 + 0.180584i
\(131\) 121642. 121642.i 0.619305 0.619305i −0.326048 0.945353i \(-0.605717\pi\)
0.945353 + 0.326048i \(0.105717\pi\)
\(132\) −49853.4 + 174151.i −0.249035 + 0.869942i
\(133\) 144950. + 144950.i 0.710543 + 0.710543i
\(134\) 23096.3 164604.i 0.111117 0.791913i
\(135\) 98407.3i 0.464722i
\(136\) −13408.5 34861.1i −0.0621632 0.161620i
\(137\) 207918.i 0.946437i −0.880945 0.473218i \(-0.843092\pi\)
0.880945 0.473218i \(-0.156908\pi\)
\(138\) −109138. 15313.8i −0.487843 0.0684516i
\(139\) 53972.3 + 53972.3i 0.236938 + 0.236938i 0.815581 0.578643i \(-0.196418\pi\)
−0.578643 + 0.815581i \(0.696418\pi\)
\(140\) −28781.8 51869.5i −0.124107 0.223662i
\(141\) 150655. 150655.i 0.638168 0.638168i
\(142\) −17288.1 22931.5i −0.0719492 0.0954358i
\(143\) 221574. 0.906107
\(144\) 72589.2 116396.i 0.291720 0.467771i
\(145\) −72182.6 −0.285110
\(146\) −236961. 314313.i −0.920015 1.22034i
\(147\) −83501.3 + 83501.3i −0.318713 + 0.318713i
\(148\) 17591.8 9761.50i 0.0660171 0.0366321i
\(149\) 192403. + 192403.i 0.709979 + 0.709979i 0.966531 0.256551i \(-0.0825863\pi\)
−0.256551 + 0.966531i \(0.582586\pi\)
\(150\) 36560.5 + 5129.98i 0.132673 + 0.0186161i
\(151\) 113085.i 0.403611i −0.979426 0.201805i \(-0.935319\pi\)
0.979426 0.201805i \(-0.0646809\pi\)
\(152\) −457308. 203243.i −1.60546 0.713519i
\(153\) 27641.0i 0.0954609i
\(154\) −31596.7 + 225184.i −0.107359 + 0.765132i
\(155\) −165803. 165803.i −0.554323 0.554323i
\(156\) 131301. + 37587.1i 0.431974 + 0.123660i
\(157\) 101388. 101388.i 0.328276 0.328276i −0.523655 0.851931i \(-0.675432\pi\)
0.851931 + 0.523655i \(0.175432\pi\)
\(158\) 111388. 83975.3i 0.354972 0.267614i
\(159\) −93254.7 −0.292535
\(160\) 111038. + 92962.7i 0.342904 + 0.287084i
\(161\) −138342. −0.420620
\(162\) −38624.4 + 29119.0i −0.115631 + 0.0871744i
\(163\) 150058. 150058.i 0.442373 0.442373i −0.450435 0.892809i \(-0.648731\pi\)
0.892809 + 0.450435i \(0.148731\pi\)
\(164\) 642875. + 184033.i 1.86645 + 0.534302i
\(165\) −100070. 100070.i −0.286150 0.286150i
\(166\) −6721.37 + 47902.1i −0.0189316 + 0.134922i
\(167\) 585530.i 1.62464i 0.583210 + 0.812322i \(0.301797\pi\)
−0.583210 + 0.812322i \(0.698203\pi\)
\(168\) −56923.2 + 128081.i −0.155602 + 0.350115i
\(169\) 204236.i 0.550068i
\(170\) 28897.3 + 4054.72i 0.0766892 + 0.0107606i
\(171\) −261872. 261872.i −0.684855 0.684855i
\(172\) 240780. 133606.i 0.620582 0.344353i
\(173\) 195067. 195067.i 0.495528 0.495528i −0.414514 0.910043i \(-0.636049\pi\)
0.910043 + 0.414514i \(0.136049\pi\)
\(174\) 102671. + 136187.i 0.257085 + 0.341006i
\(175\) 46343.5 0.114392
\(176\) −125354. 540783.i −0.305041 1.31596i
\(177\) 112600. 0.270151
\(178\) 32755.6 + 43448.2i 0.0774883 + 0.102783i
\(179\) −52857.4 + 52857.4i −0.123303 + 0.123303i −0.766065 0.642763i \(-0.777788\pi\)
0.642763 + 0.766065i \(0.277788\pi\)
\(180\) 51998.0 + 93709.0i 0.119620 + 0.215576i
\(181\) 408370. + 408370.i 0.926526 + 0.926526i 0.997480 0.0709534i \(-0.0226042\pi\)
−0.0709534 + 0.997480i \(0.522604\pi\)
\(182\) 169778. + 23822.4i 0.379930 + 0.0533099i
\(183\) 212965.i 0.470090i
\(184\) 315218. 121241.i 0.686383 0.264001i
\(185\) 15717.7i 0.0337644i
\(186\) −76984.5 + 548655.i −0.163163 + 1.16283i
\(187\) −79094.8 79094.8i −0.165403 0.165403i
\(188\) −179690. + 627702.i −0.370791 + 1.29527i
\(189\) −206387. + 206387.i −0.420269 + 0.420269i
\(190\) 312188. 235359.i 0.627382 0.472984i
\(191\) 826837. 1.63997 0.819986 0.572383i \(-0.193981\pi\)
0.819986 + 0.572383i \(0.193981\pi\)
\(192\) 17453.6 341724.i 0.0341690 0.668993i
\(193\) −478446. −0.924570 −0.462285 0.886731i \(-0.652970\pi\)
−0.462285 + 0.886731i \(0.652970\pi\)
\(194\) 490777. 369998.i 0.936225 0.705821i
\(195\) −75448.0 + 75448.0i −0.142089 + 0.142089i
\(196\) 99594.2 347908.i 0.185180 0.646881i
\(197\) −527886. 527886.i −0.969113 0.969113i 0.0304244 0.999537i \(-0.490314\pi\)
−0.999537 + 0.0304244i \(0.990314\pi\)
\(198\) 57083.7 406825.i 0.103478 0.737471i
\(199\) 764647.i 1.36876i 0.729124 + 0.684382i \(0.239928\pi\)
−0.729124 + 0.684382i \(0.760072\pi\)
\(200\) −105596. + 40614.9i −0.186668 + 0.0717976i
\(201\) 306824.i 0.535672i
\(202\) 80193.8 + 11252.4i 0.138281 + 0.0194029i
\(203\) 151386. + 151386.i 0.257838 + 0.257838i
\(204\) −33452.9 60287.7i −0.0562806 0.101427i
\(205\) −369407. + 369407.i −0.613932 + 0.613932i
\(206\) −379881. 503887.i −0.623705 0.827303i
\(207\) 249933. 0.405414
\(208\) −407724. + 94511.2i −0.653444 + 0.151469i
\(209\) −1.49869e6 −2.37327
\(210\) −65918.2 87436.1i −0.103147 0.136818i
\(211\) −352929. + 352929.i −0.545734 + 0.545734i −0.925204 0.379470i \(-0.876106\pi\)
0.379470 + 0.925204i \(0.376106\pi\)
\(212\) 249886. 138659.i 0.381859 0.211889i
\(213\) −37485.0 37485.0i −0.0566119 0.0566119i
\(214\) 1.02921e6 + 144414.i 1.53628 + 0.215564i
\(215\) 215128.i 0.317396i
\(216\) 289386. 651135.i 0.422029 0.949591i
\(217\) 695467.i 1.00260i
\(218\) −119081. + 848669.i −0.169708 + 1.20948i
\(219\) −513792. 513792.i −0.723897 0.723897i
\(220\) 416941. + 119356.i 0.580788 + 0.166260i
\(221\) −59633.7 + 59633.7i −0.0821318 + 0.0821318i
\(222\) 29654.5 22356.5i 0.0403839 0.0304454i
\(223\) −23907.2 −0.0321934 −0.0160967 0.999870i \(-0.505124\pi\)
−0.0160967 + 0.999870i \(0.505124\pi\)
\(224\) −37909.1 427844.i −0.0504804 0.569726i
\(225\) −83725.7 −0.110256
\(226\) −1.16461e6 + 877999.i −1.51673 + 1.14347i
\(227\) 345816. 345816.i 0.445432 0.445432i −0.448401 0.893833i \(-0.648006\pi\)
0.893833 + 0.448401i \(0.148006\pi\)
\(228\) −888101. 254233.i −1.13142 0.323888i
\(229\) −1.00330e6 1.00330e6i −1.26427 1.26427i −0.949003 0.315268i \(-0.897906\pi\)
−0.315268 0.949003i \(-0.602094\pi\)
\(230\) −36663.2 + 261292.i −0.0456995 + 0.325692i
\(231\) 419747.i 0.517557i
\(232\) −477613. 212267.i −0.582581 0.258918i
\(233\) 903032.i 1.08972i 0.838528 + 0.544858i \(0.183416\pi\)
−0.838528 + 0.544858i \(0.816584\pi\)
\(234\) −306727. 43038.4i −0.366195 0.0513826i
\(235\) −360688. 360688.i −0.426052 0.426052i
\(236\) −301725. + 167424.i −0.352640 + 0.195676i
\(237\) 182080. 182080.i 0.210567 0.210567i
\(238\) −52101.5 69109.1i −0.0596221 0.0790848i
\(239\) −391460. −0.443294 −0.221647 0.975127i \(-0.571143\pi\)
−0.221647 + 0.975127i \(0.571143\pi\)
\(240\) 226825. + 141457.i 0.254193 + 0.158524i
\(241\) −1.17742e6 −1.30584 −0.652921 0.757426i \(-0.726457\pi\)
−0.652921 + 0.757426i \(0.726457\pi\)
\(242\) −452346. 600007.i −0.496515 0.658595i
\(243\) 613224. 613224.i 0.666198 0.666198i
\(244\) −316655. 570664.i −0.340496 0.613629i
\(245\) 199914. + 199914.i 0.212778 + 0.212778i
\(246\) 1.22240e6 + 171520.i 1.28788 + 0.180708i
\(247\) 1.12994e6i 1.17846i
\(248\) −609498. 1.58465e6i −0.629279 1.63608i
\(249\) 89290.2i 0.0912652i
\(250\) 12281.9 87530.9i 0.0124284 0.0885750i
\(251\) 1.31464e6 + 1.31464e6i 1.31711 + 1.31711i 0.916054 + 0.401056i \(0.131357\pi\)
0.401056 + 0.916054i \(0.368643\pi\)
\(252\) 87479.1 305587.i 0.0867767 0.303133i
\(253\) 715185. 715185.i 0.702453 0.702453i
\(254\) −358701. + 270425.i −0.348858 + 0.263005i
\(255\) 53864.9 0.0518747
\(256\) 461335. + 941638.i 0.439963 + 0.898016i
\(257\) −580264. −0.548016 −0.274008 0.961727i \(-0.588349\pi\)
−0.274008 + 0.961727i \(0.588349\pi\)
\(258\) 405882. 305995.i 0.379621 0.286197i
\(259\) 32964.2 32964.2i 0.0305347 0.0305347i
\(260\) 89988.8 314354.i 0.0825572 0.288393i
\(261\) −273499. 273499.i −0.248516 0.248516i
\(262\) −135221. + 963694.i −0.121700 + 0.867334i
\(263\) 1.07031e6i 0.954160i −0.878860 0.477080i \(-0.841695\pi\)
0.878860 0.477080i \(-0.158305\pi\)
\(264\) −367861. 956411.i −0.324843 0.844568i
\(265\) 223265.i 0.195301i
\(266\) −1.14835e6 161131.i −0.995111 0.139629i
\(267\) 71022.5 + 71022.5i 0.0609702 + 0.0609702i
\(268\) 456211. + 822168.i 0.387998 + 0.699236i
\(269\) 759552. 759552.i 0.639995 0.639995i −0.310559 0.950554i \(-0.600516\pi\)
0.950554 + 0.310559i \(0.100516\pi\)
\(270\) 335114. + 444507.i 0.279759 + 0.371081i
\(271\) 1.26348e6 1.04507 0.522535 0.852618i \(-0.324986\pi\)
0.522535 + 0.852618i \(0.324986\pi\)
\(272\) 179282. + 111807.i 0.146931 + 0.0916318i
\(273\) 316469. 0.256995
\(274\) 708042. + 939170.i 0.569747 + 0.755732i
\(275\) −239581. + 239581.i −0.191039 + 0.191039i
\(276\) 545128. 302485.i 0.430751 0.239019i
\(277\) 666957. + 666957.i 0.522274 + 0.522274i 0.918258 0.395984i \(-0.129596\pi\)
−0.395984 + 0.918258i \(0.629596\pi\)
\(278\) −427590. 59997.2i −0.331830 0.0465607i
\(279\) 1.25645e6i 0.966352i
\(280\) 306643. + 136282.i 0.233742 + 0.103883i
\(281\) 1.15737e6i 0.874391i 0.899367 + 0.437195i \(0.144028\pi\)
−0.899367 + 0.437195i \(0.855972\pi\)
\(282\) −167472. + 1.19355e6i −0.125407 + 0.893750i
\(283\) −263797. 263797.i −0.195796 0.195796i 0.602399 0.798195i \(-0.294212\pi\)
−0.798195 + 0.602399i \(0.794212\pi\)
\(284\) 156181. + 44709.3i 0.114903 + 0.0328929i
\(285\) 510318. 510318.i 0.372159 0.372159i
\(286\) −1.00085e6 + 754545.i −0.723528 + 0.545469i
\(287\) 1.54949e6 1.11041
\(288\) 68487.7 + 772957.i 0.0486554 + 0.549129i
\(289\) −1.37728e6 −0.970015
\(290\) 326050. 245809.i 0.227661 0.171634i
\(291\) 802249. 802249.i 0.555363 0.555363i
\(292\) 2.14071e6 + 612813.i 1.46927 + 0.420602i
\(293\) 1.75356e6 + 1.75356e6i 1.19330 + 1.19330i 0.976134 + 0.217168i \(0.0696819\pi\)
0.217168 + 0.976134i \(0.430318\pi\)
\(294\) 92822.6 661530.i 0.0626304 0.446356i
\(295\) 269581.i 0.180358i
\(296\) −46220.8 + 104000.i −0.0306626 + 0.0689926i
\(297\) 2.13391e6i 1.40373i
\(298\) −1.52429e6 213881.i −0.994322 0.139518i
\(299\) −539215. 539215.i −0.348806 0.348806i
\(300\) −182614. + 101330.i −0.117147 + 0.0650034i
\(301\) 451182. 451182.i 0.287035 0.287035i
\(302\) 385098. + 510806.i 0.242970 + 0.322284i
\(303\) 149482. 0.0935370
\(304\) 2.75778e6 639258.i 1.71150 0.396728i
\(305\) 509868. 0.313840
\(306\) 94128.2 + 124855.i 0.0574667 + 0.0762257i
\(307\) 1.57280e6 1.57280e6i 0.952418 0.952418i −0.0465006 0.998918i \(-0.514807\pi\)
0.998918 + 0.0465006i \(0.0148069\pi\)
\(308\) −624116. 1.12476e6i −0.374877 0.675589i
\(309\) −823678. 823678.i −0.490751 0.490751i
\(310\) 1.31356e6 + 184312.i 0.776326 + 0.108930i
\(311\) 737506.i 0.432379i 0.976351 + 0.216190i \(0.0693629\pi\)
−0.976351 + 0.216190i \(0.930637\pi\)
\(312\) −721088. + 277350.i −0.419374 + 0.161303i
\(313\) 40528.1i 0.0233828i 0.999932 + 0.0116914i \(0.00372157\pi\)
−0.999932 + 0.0116914i \(0.996278\pi\)
\(314\) −112706. + 803239.i −0.0645097 + 0.459749i
\(315\) 175595. + 175595.i 0.0997095 + 0.0997095i
\(316\) −217171. + 758634.i −0.122345 + 0.427381i
\(317\) −424582. + 424582.i −0.237309 + 0.237309i −0.815735 0.578426i \(-0.803667\pi\)
0.578426 + 0.815735i \(0.303667\pi\)
\(318\) 421233. 317568.i 0.233590 0.176104i
\(319\) −1.56524e6 −0.861200
\(320\) −818134. 41786.3i −0.446631 0.0228118i
\(321\) 1.91847e6 1.03919
\(322\) 624893. 471108.i 0.335866 0.253210i
\(323\) 403353. 403353.i 0.215119 0.215119i
\(324\) 75305.6 263062.i 0.0398534 0.139218i
\(325\) 180633. + 180633.i 0.0948611 + 0.0948611i
\(326\) −166809. + 1.18882e6i −0.0869309 + 0.619541i
\(327\) 1.58193e6i 0.818123i
\(328\) −3.53058e6 + 1.35795e6i −1.81201 + 0.696948i
\(329\) 1.51292e6i 0.770595i
\(330\) 792793. + 111241.i 0.400751 + 0.0562314i
\(331\) 115804. + 115804.i 0.0580967 + 0.0580967i 0.735558 0.677461i \(-0.236920\pi\)
−0.677461 + 0.735558i \(0.736920\pi\)
\(332\) −132764. 239263.i −0.0661052 0.119132i
\(333\) −59554.1 + 59554.1i −0.0294308 + 0.0294308i
\(334\) −1.99395e6 2.64484e6i −0.978022 1.29728i
\(335\) −734578. −0.357624
\(336\) −179040. 772387.i −0.0865173 0.373239i
\(337\) 1.97753e6 0.948524 0.474262 0.880384i \(-0.342715\pi\)
0.474262 + 0.880384i \(0.342715\pi\)
\(338\) −695503. 922538.i −0.331137 0.439231i
\(339\) −1.90372e6 + 1.90372e6i −0.899715 + 0.899715i
\(340\) −144337. + 80090.9i −0.0677143 + 0.0375739i
\(341\) −3.59534e6 3.59534e6i −1.67438 1.67438i
\(342\) 2.07465e6 + 291105.i 0.959135 + 0.134581i
\(343\) 2.08478e6i 0.956808i
\(344\) −632626. + 1.42345e6i −0.288238 + 0.648552i
\(345\) 487053.i 0.220307i
\(346\) −216842. + 1.54540e6i −0.0973764 + 0.693985i
\(347\) −443493. 443493.i −0.197725 0.197725i 0.601299 0.799024i \(-0.294650\pi\)
−0.799024 + 0.601299i \(0.794650\pi\)
\(348\) −927535. 265522.i −0.410565 0.117531i
\(349\) 738430. 738430.i 0.324523 0.324523i −0.525976 0.850499i \(-0.676300\pi\)
0.850499 + 0.525976i \(0.176300\pi\)
\(350\) −209334. + 157817.i −0.0913419 + 0.0688628i
\(351\) −1.60886e6 −0.697030
\(352\) 2.40780e6 + 2.01584e6i 1.03577 + 0.867161i
\(353\) 3.09175e6 1.32059 0.660295 0.751006i \(-0.270431\pi\)
0.660295 + 0.751006i \(0.270431\pi\)
\(354\) −508617. + 383447.i −0.215716 + 0.162629i
\(355\) −89744.2 + 89744.2i −0.0377951 + 0.0377951i
\(356\) −295915. 84710.4i −0.123749 0.0354252i
\(357\) −112969. 112969.i −0.0469126 0.0469126i
\(358\) 58757.9 418757.i 0.0242303 0.172685i
\(359\) 909411.i 0.372412i −0.982511 0.186206i \(-0.940381\pi\)
0.982511 0.186206i \(-0.0596192\pi\)
\(360\) −553990. 246211.i −0.225292 0.100127i
\(361\) 5.16666e6i 2.08661i
\(362\) −3.23527e6 453957.i −1.29759 0.182072i
\(363\) −980802. 980802.i −0.390674 0.390674i
\(364\) −848015. + 470553.i −0.335467 + 0.186147i
\(365\) −1.23009e6 + 1.23009e6i −0.483286 + 0.483286i
\(366\) −725228. 961967.i −0.282990 0.375368i
\(367\) 929868. 0.360376 0.180188 0.983632i \(-0.442329\pi\)
0.180188 + 0.983632i \(0.442329\pi\)
\(368\) −1.01097e6 + 1.62109e6i −0.389152 + 0.624003i
\(369\) −2.79936e6 −1.07027
\(370\) −53524.7 70996.9i −0.0203259 0.0269609i
\(371\) 468246. 468246.i 0.176620 0.176620i
\(372\) −1.52064e6 2.74044e6i −0.569730 1.02675i
\(373\) 2.11764e6 + 2.11764e6i 0.788099 + 0.788099i 0.981182 0.193083i \(-0.0618488\pi\)
−0.193083 + 0.981182i \(0.561849\pi\)
\(374\) 626620. + 87924.2i 0.231646 + 0.0325034i
\(375\) 163159.i 0.0599146i
\(376\) −1.32590e6 3.44725e6i −0.483663 1.25749i
\(377\) 1.18012e6i 0.427633i
\(378\) 229425. 1.63507e6i 0.0825871 0.588584i
\(379\) 1.77828e6 + 1.77828e6i 0.635920 + 0.635920i 0.949546 0.313627i \(-0.101544\pi\)
−0.313627 + 0.949546i \(0.601544\pi\)
\(380\) −608670. + 2.12624e6i −0.216233 + 0.755358i
\(381\) −586351. + 586351.i −0.206940 + 0.206940i
\(382\) −3.73483e6 + 2.81570e6i −1.30952 + 0.987250i
\(383\) −358681. −0.124943 −0.0624714 0.998047i \(-0.519898\pi\)
−0.0624714 + 0.998047i \(0.519898\pi\)
\(384\) 1.08486e6 + 1.60301e6i 0.375445 + 0.554762i
\(385\) 1.00493e6 0.345530
\(386\) 2.16115e6 1.62929e6i 0.738271 0.556584i
\(387\) −815119. + 815119.i −0.276658 + 0.276658i
\(388\) −956864. + 3.34257e6i −0.322679 + 1.12720i
\(389\) 2.59255e6 + 2.59255e6i 0.868668 + 0.868668i 0.992325 0.123657i \(-0.0394623\pi\)
−0.123657 + 0.992325i \(0.539462\pi\)
\(390\) 83870.2 597728.i 0.0279220 0.198995i
\(391\) 384965.i 0.127344i
\(392\) 734891. + 1.91066e6i 0.241550 + 0.628013i
\(393\) 1.79634e6i 0.586688i
\(394\) 4.18212e6 + 586813.i 1.35724 + 0.190441i
\(395\) −435924. 435924.i −0.140578 0.140578i
\(396\) 1.12755e6 + 2.03203e6i 0.361324 + 0.651165i
\(397\) −2.75694e6 + 2.75694e6i −0.877913 + 0.877913i −0.993318 0.115405i \(-0.963183\pi\)
0.115405 + 0.993318i \(0.463183\pi\)
\(398\) −2.60392e6 3.45392e6i −0.823985 1.09296i
\(399\) −2.14055e6 −0.673120
\(400\) 338667. 543051.i 0.105834 0.169703i
\(401\) 2.18536e6 0.678677 0.339338 0.940664i \(-0.389797\pi\)
0.339338 + 0.940664i \(0.389797\pi\)
\(402\) 1.04485e6 + 1.38593e6i 0.322470 + 0.427735i
\(403\) −2.71072e6 + 2.71072e6i −0.831422 + 0.831422i
\(404\) −400555. + 222263.i −0.122098 + 0.0677507i
\(405\) 151160. + 151160.i 0.0457929 + 0.0457929i
\(406\) −1.19934e6 168286.i −0.361101 0.0506678i
\(407\) 340829.i 0.101988i
\(408\) 356410. + 158400.i 0.105998 + 0.0471091i
\(409\) 4.12420e6i 1.21908i −0.792756 0.609539i \(-0.791355\pi\)
0.792756 0.609539i \(-0.208645\pi\)
\(410\) 410644. 2.92659e6i 0.120644 0.859808i
\(411\) 1.53521e6 + 1.53521e6i 0.448295 + 0.448295i
\(412\) 3.43185e6 + 982422.i 0.996060 + 0.285138i
\(413\) −565384. + 565384.i −0.163105 + 0.163105i
\(414\) −1.12895e6 + 851118.i −0.323724 + 0.244056i
\(415\) 213773. 0.0609302
\(416\) 1.51985e6 1.81536e6i 0.430593 0.514317i
\(417\) −797034. −0.224459
\(418\) 6.76962e6 5.10362e6i 1.89506 1.42869i
\(419\) 435793. 435793.i 0.121268 0.121268i −0.643868 0.765136i \(-0.722672\pi\)
0.765136 + 0.643868i \(0.222672\pi\)
\(420\) 595507. + 170473.i 0.164726 + 0.0471556i
\(421\) −1.76441e6 1.76441e6i −0.485171 0.485171i 0.421608 0.906778i \(-0.361466\pi\)
−0.906778 + 0.421608i \(0.861466\pi\)
\(422\) 392327. 2.79604e6i 0.107242 0.764298i
\(423\) 2.73329e6i 0.742736i
\(424\) −656553. + 1.47728e6i −0.177360 + 0.399070i
\(425\) 128960.i 0.0346324i
\(426\) 296971. + 41669.4i 0.0792847 + 0.0111248i
\(427\) −1.06933e6 1.06933e6i −0.283820 0.283820i
\(428\) −5.14076e6 + 2.85255e6i −1.35649 + 0.752703i
\(429\) −1.63605e6 + 1.63605e6i −0.429193 + 0.429193i
\(430\) −732594. 971737.i −0.191070 0.253441i
\(431\) −1.24496e6 −0.322820 −0.161410 0.986887i \(-0.551604\pi\)
−0.161410 + 0.986887i \(0.551604\pi\)
\(432\) 910204. + 3.92665e6i 0.234655 + 1.01231i
\(433\) −2.28661e6 −0.586101 −0.293050 0.956097i \(-0.594670\pi\)
−0.293050 + 0.956097i \(0.594670\pi\)
\(434\) −2.36833e6 3.14143e6i −0.603556 0.800577i
\(435\) 532977. 532977.i 0.135047 0.135047i
\(436\) −2.35215e6 4.23896e6i −0.592583 1.06793i
\(437\) 3.64717e6 + 3.64717e6i 0.913591 + 0.913591i
\(438\) 4.07046e6 + 571146.i 1.01381 + 0.142253i
\(439\) 1.35452e6i 0.335446i −0.985834 0.167723i \(-0.946359\pi\)
0.985834 0.167723i \(-0.0536414\pi\)
\(440\) −2.28978e6 + 880710.i −0.563848 + 0.216871i
\(441\) 1.51494e6i 0.370937i
\(442\) 66290.6 472442.i 0.0161397 0.115025i
\(443\) 134020. + 134020.i 0.0324459 + 0.0324459i 0.723144 0.690698i \(-0.242696\pi\)
−0.690698 + 0.723144i \(0.742696\pi\)
\(444\) −57817.0 + 201970.i −0.0139187 + 0.0486215i
\(445\) 170038. 170038.i 0.0407048 0.0407048i
\(446\) 107989. 81413.0i 0.0257065 0.0193801i
\(447\) −2.84130e6 −0.672587
\(448\) 1.62821e6 + 1.80348e6i 0.383279 + 0.424538i
\(449\) 6.79015e6 1.58951 0.794755 0.606930i \(-0.207599\pi\)
0.794755 + 0.606930i \(0.207599\pi\)
\(450\) 378190. 285118.i 0.0880397 0.0663732i
\(451\) −8.01037e6 + 8.01037e6i −1.85443 + 1.85443i
\(452\) 2.27062e6 7.93186e6i 0.522756 1.82612i
\(453\) 834989. + 834989.i 0.191177 + 0.191177i
\(454\) −384420. + 2.73969e6i −0.0875319 + 0.623824i
\(455\) 757671.i 0.171574i
\(456\) 4.87732e6 1.87595e6i 1.09842 0.422483i
\(457\) 5.29375e6i 1.18569i −0.805315 0.592847i \(-0.798004\pi\)
0.805315 0.592847i \(-0.201996\pi\)
\(458\) 7.94850e6 + 1.11529e6i 1.77060 + 0.248442i
\(459\) 574312. + 574312.i 0.127238 + 0.127238i
\(460\) −724192. 1.30511e6i −0.159573 0.287577i
\(461\) 2.35107e6 2.35107e6i 0.515244 0.515244i −0.400885 0.916128i \(-0.631297\pi\)
0.916128 + 0.400885i \(0.131297\pi\)
\(462\) −1.42940e6 1.89600e6i −0.311565 0.413270i
\(463\) −8.46006e6 −1.83409 −0.917046 0.398782i \(-0.869433\pi\)
−0.917046 + 0.398782i \(0.869433\pi\)
\(464\) 2.88023e6 667643.i 0.621059 0.143962i
\(465\) 2.44849e6 0.525128
\(466\) −3.07517e6 4.07900e6i −0.656000 0.870140i
\(467\) −2.15793e6 + 2.15793e6i −0.457874 + 0.457874i −0.897957 0.440083i \(-0.854949\pi\)
0.440083 + 0.897957i \(0.354949\pi\)
\(468\) 1.53205e6 850117.i 0.323339 0.179417i
\(469\) 1.54061e6 + 1.54061e6i 0.323415 + 0.323415i
\(470\) 2.85751e6 + 400952.i 0.596683 + 0.0837235i
\(471\) 1.49725e6i 0.310987i
\(472\) 792755. 1.78375e6i 0.163789 0.368534i
\(473\) 4.66493e6i 0.958721i
\(474\) −202405. + 1.44251e6i −0.0413786 + 0.294898i
\(475\) −1.22177e6 1.22177e6i −0.248460 0.248460i
\(476\) 470686. + 134741.i 0.0952168 + 0.0272573i
\(477\) −845948. + 845948.i −0.170235 + 0.170235i
\(478\) 1.76823e6 1.33307e6i 0.353972 0.266860i
\(479\) 3.37846e6 0.672790 0.336395 0.941721i \(-0.390792\pi\)
0.336395 + 0.941721i \(0.390792\pi\)
\(480\) −1.50629e6 + 133464.i −0.298404 + 0.0264400i
\(481\) 256969. 0.0506428
\(482\) 5.31844e6 4.00958e6i 1.04272 0.786106i
\(483\) 1.02148e6 1.02148e6i 0.199234 0.199234i
\(484\) 4.08651e6 + 1.16983e6i 0.792937 + 0.226991i
\(485\) −1.92070e6 1.92070e6i −0.370770 0.370770i
\(486\) −681678. + 4.85820e6i −0.130915 + 0.933006i
\(487\) 987375.i 0.188651i 0.995541 + 0.0943257i \(0.0300695\pi\)
−0.995541 + 0.0943257i \(0.969931\pi\)
\(488\) 3.37366e6 + 1.49937e6i 0.641286 + 0.285009i
\(489\) 2.21597e6i 0.419075i
\(490\) −1.58379e6 222230.i −0.297995 0.0418131i
\(491\) 6.82185e6 + 6.82185e6i 1.27702 + 1.27702i 0.942326 + 0.334695i \(0.108633\pi\)
0.334695 + 0.942326i \(0.391367\pi\)
\(492\) −6.10567e6 + 3.38796e6i −1.13716 + 0.630995i
\(493\) 421263. 421263.i 0.0780613 0.0780613i
\(494\) −3.84789e6 5.10397e6i −0.709423 0.941002i
\(495\) −1.81554e6 −0.333038
\(496\) 8.14944e6 + 5.08230e6i 1.48739 + 0.927590i
\(497\) 376435. 0.0683596
\(498\) −304067. 403325.i −0.0549409 0.0728755i
\(499\) 5.27326e6 5.27326e6i 0.948043 0.948043i −0.0506726 0.998715i \(-0.516136\pi\)
0.998715 + 0.0506726i \(0.0161365\pi\)
\(500\) 242599. + 437202.i 0.0433973 + 0.0782091i
\(501\) −4.32339e6 4.32339e6i −0.769539 0.769539i
\(502\) −1.04151e7 1.46139e6i −1.84460 0.258826i
\(503\) 7.43828e6i 1.31085i −0.755261 0.655424i \(-0.772490\pi\)
0.755261 0.655424i \(-0.227510\pi\)
\(504\) 645495. + 1.67824e6i 0.113192 + 0.294291i
\(505\) 357882.i 0.0624469i
\(506\) −795021. + 5.66598e6i −0.138039 + 0.983781i
\(507\) −1.50803e6 1.50803e6i −0.260549 0.260549i
\(508\) 699356. 2.44303e6i 0.120237 0.420019i
\(509\) −6.34354e6 + 6.34354e6i −1.08527 + 1.08527i −0.0892602 + 0.996008i \(0.528450\pi\)
−0.996008 + 0.0892602i \(0.971550\pi\)
\(510\) −243308. + 183431.i −0.0414221 + 0.0312281i
\(511\) 5.15965e6 0.874115
\(512\) −5.29049e6 2.68237e6i −0.891910 0.452213i
\(513\) 1.08821e7 1.82566
\(514\) 2.62106e6 1.97602e6i 0.437592 0.329901i
\(515\) −1.97200e6 + 1.97200e6i −0.327634 + 0.327634i
\(516\) −791343. + 2.76436e6i −0.130840 + 0.457057i
\(517\) −7.82131e6 7.82131e6i −1.28693 1.28693i
\(518\) −36644.0 + 261155.i −0.00600037 + 0.0427636i
\(519\) 2.88064e6i 0.469430i
\(520\) 664014. + 1.72638e6i 0.107688 + 0.279981i
\(521\) 3.05780e6i 0.493531i −0.969075 0.246766i \(-0.920632\pi\)
0.969075 0.246766i \(-0.0793678\pi\)
\(522\) 2.16677e6 + 304030.i 0.348046 + 0.0488360i
\(523\) −7.25293e6 7.25293e6i −1.15947 1.15947i −0.984590 0.174880i \(-0.944046\pi\)
−0.174880 0.984590i \(-0.555954\pi\)
\(524\) −2.67095e6 4.81350e6i −0.424950 0.765830i
\(525\) −342188. + 342188.i −0.0541834 + 0.0541834i
\(526\) 3.64482e6 + 4.83461e6i 0.574397 + 0.761899i
\(527\) 1.93527e6 0.303540
\(528\) 4.91857e6 + 3.06741e6i 0.767811 + 0.478836i
\(529\) 2.95545e6 0.459181
\(530\) −760301. 1.00849e6i −0.117570 0.155949i
\(531\) 1.02144e6 1.02144e6i 0.157209 0.157209i
\(532\) 5.73584e6 3.18275e6i 0.878653 0.487555i
\(533\) 6.03944e6 + 6.03944e6i 0.920828 + 0.920828i
\(534\) −562668. 78950.8i −0.0853885 0.0119813i
\(535\) 4.59309e6i 0.693778i
\(536\) −4.86051e6 2.16017e6i −0.730751 0.324770i
\(537\) 780570.i 0.116809i
\(538\) −844341. + 6.01747e6i −0.125766 + 0.896310i
\(539\) 4.33501e6 + 4.33501e6i 0.642715 + 0.642715i
\(540\) −3.02743e6 866650.i −0.446776 0.127897i
\(541\) −9.13296e6 + 9.13296e6i −1.34159 + 1.34159i −0.447104 + 0.894482i \(0.647545\pi\)
−0.894482 + 0.447104i \(0.852455\pi\)
\(542\) −5.70715e6 + 4.30263e6i −0.834491 + 0.629124i
\(543\) −6.03059e6 −0.877729
\(544\) −1.19056e6 + 105489.i −0.172486 + 0.0152831i
\(545\) 3.78736e6 0.546193
\(546\) −1.42950e6 + 1.07770e6i −0.205211 + 0.154709i
\(547\) 4.04115e6 4.04115e6i 0.577480 0.577480i −0.356728 0.934208i \(-0.616108\pi\)
0.934208 + 0.356728i \(0.116108\pi\)
\(548\) −6.39646e6 1.83109e6i −0.909889 0.260470i
\(549\) 1.93189e6 + 1.93189e6i 0.273559 + 0.273559i
\(550\) 266326. 1.89806e6i 0.0375410 0.267548i
\(551\) 7.98211e6i 1.12005i
\(552\) −1.43227e6 + 3.22270e6i −0.200068 + 0.450165i
\(553\) 1.82850e6i 0.254262i
\(554\) −5.28389e6 741409.i −0.731441 0.102632i
\(555\) −116055. 116055.i −0.0159931 0.0159931i
\(556\) 2.13574e6 1.18510e6i 0.292996 0.162580i
\(557\) 4.65319e6 4.65319e6i 0.635496 0.635496i −0.313945 0.949441i \(-0.601651\pi\)
0.949441 + 0.313945i \(0.101651\pi\)
\(558\) 4.27870e6 + 5.67541e6i 0.581736 + 0.771634i
\(559\) 3.51714e6 0.476058
\(560\) −1.84920e6 + 428648.i −0.249180 + 0.0577604i
\(561\) 1.16803e6 0.156692
\(562\) −3.94128e6 5.22784e6i −0.526376 0.698203i
\(563\) −301629. + 301629.i −0.0401054 + 0.0401054i −0.726875 0.686770i \(-0.759028\pi\)
0.686770 + 0.726875i \(0.259028\pi\)
\(564\) −3.30800e6 5.96156e6i −0.437893 0.789155i
\(565\) 4.55778e6 + 4.55778e6i 0.600665 + 0.600665i
\(566\) 2.08990e6 + 293244.i 0.274211 + 0.0384759i
\(567\) 634045.i 0.0828252i
\(568\) −857723. + 329903.i −0.111552 + 0.0429058i
\(569\) 1.33157e6i 0.172418i −0.996277 0.0862089i \(-0.972525\pi\)
0.996277 0.0862089i \(-0.0274752\pi\)
\(570\) −567285. + 4.04294e6i −0.0731331 + 0.521207i
\(571\) 9.93247e6 + 9.93247e6i 1.27487 + 1.27487i 0.943500 + 0.331373i \(0.107512\pi\)
0.331373 + 0.943500i \(0.392488\pi\)
\(572\) 1.95135e6 6.81658e6i 0.249371 0.871117i
\(573\) −6.10514e6 + 6.10514e6i −0.776800 + 0.776800i
\(574\) −6.99907e6 + 5.27661e6i −0.886667 + 0.668459i
\(575\) 1.16607e6 0.147081
\(576\) −2.94157e6 3.25823e6i −0.369423 0.409190i
\(577\) −1.29022e7 −1.61333 −0.806665 0.591009i \(-0.798730\pi\)
−0.806665 + 0.591009i \(0.798730\pi\)
\(578\) 6.22120e6 4.69017e6i 0.774559 0.583941i
\(579\) 3.53272e6 3.53272e6i 0.437938 0.437938i
\(580\) −635696. + 2.22065e6i −0.0784656 + 0.274100i
\(581\) −448339. 448339.i −0.0551019 0.0551019i
\(582\) −891804. + 6.35573e6i −0.109135 + 0.777782i
\(583\) 4.84137e6i 0.589925i
\(584\) −1.17565e7 + 4.52186e6i −1.42641 + 0.548636i
\(585\) 1.36883e6i 0.165372i
\(586\) −1.38924e7 1.94930e6i −1.67121 0.234496i
\(587\) 5.46386e6 + 5.46386e6i 0.654492 + 0.654492i 0.954071 0.299579i \(-0.0968463\pi\)
−0.299579 + 0.954071i \(0.596846\pi\)
\(588\) 1.83348e6 + 3.30424e6i 0.218692 + 0.394119i
\(589\) 1.83348e7 1.83348e7i 2.17765 2.17765i
\(590\) 918026. + 1.21770e6i 0.108574 + 0.144016i
\(591\) 7.79553e6 0.918072
\(592\) −145378. 627167.i −0.0170489 0.0735494i
\(593\) −1.10740e7 −1.29320 −0.646602 0.762828i \(-0.723811\pi\)
−0.646602 + 0.762828i \(0.723811\pi\)
\(594\) 7.26676e6 + 9.63887e6i 0.845035 + 1.12088i
\(595\) −270464. + 270464.i −0.0313197 + 0.0313197i
\(596\) 7.61358e6 4.22469e6i 0.877957 0.487168i
\(597\) −5.64595e6 5.64595e6i −0.648338 0.648338i
\(598\) 4.27188e6 + 599408.i 0.488501 + 0.0685440i
\(599\) 1.29827e6i 0.147842i 0.997264 + 0.0739212i \(0.0235513\pi\)
−0.997264 + 0.0739212i \(0.976449\pi\)
\(600\) 479800. 1.07958e6i 0.0544104 0.122427i
\(601\) 6.86733e6i 0.775535i −0.921757 0.387768i \(-0.873246\pi\)
0.921757 0.387768i \(-0.126754\pi\)
\(602\) −501547. + 3.57444e6i −0.0564054 + 0.401991i
\(603\) −2.78331e6 2.78331e6i −0.311723 0.311723i
\(604\) −3.47898e6 995914.i −0.388025 0.111078i
\(605\) −2.34818e6 + 2.34818e6i −0.260821 + 0.260821i
\(606\) −675214. + 509045.i −0.0746895 + 0.0563085i
\(607\) −1.48353e7 −1.63427 −0.817136 0.576444i \(-0.804440\pi\)
−0.817136 + 0.576444i \(0.804440\pi\)
\(608\) −1.02800e7 + 1.22788e7i −1.12781 + 1.34709i
\(609\) −2.23559e6 −0.244258
\(610\) −2.30308e6 + 1.73630e6i −0.250602 + 0.188929i
\(611\) −5.89690e6 + 5.89690e6i −0.639029 + 0.639029i
\(612\) −850356. 243428.i −0.0917745 0.0262719i
\(613\) −1.12593e7 1.12593e7i −1.21021 1.21021i −0.970959 0.239247i \(-0.923100\pi\)
−0.239247 0.970959i \(-0.576900\pi\)
\(614\) −1.74837e6 + 1.24603e7i −0.187160 + 1.33386i
\(615\) 5.45520e6i 0.581598i
\(616\) 6.64937e6 + 2.95520e6i 0.706039 + 0.313787i
\(617\) 3.07881e6i 0.325589i −0.986660 0.162795i \(-0.947949\pi\)
0.986660 0.162795i \(-0.0520508\pi\)
\(618\) 6.52550e6 + 915625.i 0.687294 + 0.0964376i
\(619\) 1.12128e7 + 1.12128e7i 1.17622 + 1.17622i 0.980701 + 0.195516i \(0.0626380\pi\)
0.195516 + 0.980701i \(0.437362\pi\)
\(620\) −6.56100e6 + 3.64062e6i −0.685473 + 0.380361i
\(621\) −5.19299e6 + 5.19299e6i −0.540367 + 0.540367i
\(622\) −2.51149e6 3.33132e6i −0.260289 0.345256i
\(623\) −713230. −0.0736223
\(624\) 2.31268e6 3.70837e6i 0.237768 0.381260i
\(625\) −390625. −0.0400000
\(626\) −138014. 183066.i −0.0140762 0.0186712i
\(627\) 1.10659e7 1.10659e7i 1.12414 1.12414i
\(628\) −2.22624e6 4.01205e6i −0.225254 0.405945i
\(629\) −91729.4 91729.4i −0.00924447 0.00924447i
\(630\) −1.39113e6 195197.i −0.139643 0.0195939i
\(631\) 8.75273e6i 0.875126i −0.899188 0.437563i \(-0.855842\pi\)
0.899188 0.437563i \(-0.144158\pi\)
\(632\) −1.60247e6 4.16631e6i −0.159587 0.414915i
\(633\) 5.21187e6i 0.516992i
\(634\) 471978. 3.36371e6i 0.0466336 0.332349i
\(635\) 1.40381e6 + 1.40381e6i 0.138157 + 0.138157i
\(636\) −821273. + 2.86891e6i −0.0805090 + 0.281239i
\(637\) 3.26839e6 3.26839e6i 0.319143 0.319143i
\(638\) 7.07020e6 5.33023e6i 0.687670 0.518435i
\(639\) −680080. −0.0658882
\(640\) 3.83782e6 2.59731e6i 0.370369 0.250653i
\(641\) −5.52968e6 −0.531563 −0.265782 0.964033i \(-0.585630\pi\)
−0.265782 + 0.964033i \(0.585630\pi\)
\(642\) −8.66576e6 + 6.53313e6i −0.829791 + 0.625581i
\(643\) 4.46397e6 4.46397e6i 0.425788 0.425788i −0.461403 0.887191i \(-0.652654\pi\)
0.887191 + 0.461403i \(0.152654\pi\)
\(644\) −1.21835e6 + 4.25600e6i −0.115759 + 0.404377i
\(645\) −1.58845e6 1.58845e6i −0.150340 0.150340i
\(646\) −448379. + 3.19552e6i −0.0422731 + 0.301273i
\(647\) 8.74852e6i 0.821625i 0.911720 + 0.410813i \(0.134755\pi\)
−0.911720 + 0.410813i \(0.865245\pi\)
\(648\) 555669. + 1.44470e6i 0.0519851 + 0.135157i
\(649\) 5.84571e6i 0.544785i
\(650\) −1.43104e6 200797.i −0.132852 0.0186412i
\(651\) −5.13514e6 5.13514e6i −0.474897 0.474897i
\(652\) −3.29489e6 5.93794e6i −0.303544 0.547037i
\(653\) −8.59835e6 + 8.59835e6i −0.789100 + 0.789100i −0.981347 0.192246i \(-0.938423\pi\)
0.192246 + 0.981347i \(0.438423\pi\)
\(654\) −5.38708e6 7.14560e6i −0.492503 0.653273i
\(655\) 4.30069e6 0.391683
\(656\) 1.13233e7 1.81569e7i 1.02734 1.64733i
\(657\) −9.32159e6 −0.842513
\(658\) −5.15207e6 6.83388e6i −0.463892 0.615322i
\(659\) 1.19553e6 1.19553e6i 0.107238 0.107238i −0.651452 0.758690i \(-0.725840\pi\)
0.758690 + 0.651452i \(0.225840\pi\)
\(660\) −3.95987e6 + 2.19729e6i −0.353852 + 0.196348i
\(661\) −1.03894e7 1.03894e7i −0.924881 0.924881i 0.0724883 0.997369i \(-0.476906\pi\)
−0.997369 + 0.0724883i \(0.976906\pi\)
\(662\) −917441. 128731.i −0.0813641 0.0114166i
\(663\) 880639.i 0.0778062i
\(664\) 1.41448e6 + 628640.i 0.124502 + 0.0553327i
\(665\) 5.12477e6i 0.449387i
\(666\) 66202.2 471811.i 0.00578345 0.0412176i
\(667\) 3.80911e6 + 3.80911e6i 0.331519 + 0.331519i
\(668\) 1.80134e7 + 5.15663e6i 1.56191 + 0.447120i
\(669\) 176524. 176524.i 0.0152489 0.0152489i
\(670\) 3.31810e6 2.50152e6i 0.285563 0.215286i
\(671\) 1.10562e7 0.947981
\(672\) 3.43900e6 + 2.87918e6i 0.293771 + 0.245949i
\(673\) 1.15217e7 0.980567 0.490284 0.871563i \(-0.336893\pi\)
0.490284 + 0.871563i \(0.336893\pi\)
\(674\) −8.93252e6 + 6.73424e6i −0.757399 + 0.571004i
\(675\) 1.73961e6 1.73961e6i 0.146958 0.146958i
\(676\) 6.28319e6 + 1.79866e6i 0.528827 + 0.151385i
\(677\) 1.34224e7 + 1.34224e7i 1.12553 + 1.12553i 0.990895 + 0.134640i \(0.0429878\pi\)
0.134640 + 0.990895i \(0.457012\pi\)
\(678\) 2.11624e6 1.50821e7i 0.176803 1.26005i
\(679\) 8.05643e6i 0.670607i
\(680\) 379232. 853294.i 0.0314509 0.0707663i
\(681\) 5.10683e6i 0.421972i
\(682\) 2.84837e7 + 3.99669e6i 2.34496 + 0.329033i
\(683\) −624937. 624937.i −0.0512607 0.0512607i 0.681012 0.732272i \(-0.261540\pi\)
−0.732272 + 0.681012i \(0.761540\pi\)
\(684\) −1.03625e7 + 5.75005e6i −0.846888 + 0.469928i
\(685\) 3.67551e6 3.67551e6i 0.299290 0.299290i
\(686\) 7.09947e6 + 9.41697e6i 0.575991 + 0.764013i
\(687\) 1.48161e7 1.19769
\(688\) −1.98980e6 8.58405e6i −0.160265 0.691387i
\(689\) 3.65016e6 0.292930
\(690\) −1.65860e6 2.20002e6i −0.132623 0.175916i
\(691\) −8.23530e6 + 8.23530e6i −0.656121 + 0.656121i −0.954460 0.298339i \(-0.903567\pi\)
0.298339 + 0.954460i \(0.403567\pi\)
\(692\) −4.28319e6 7.71900e6i −0.340018 0.612768i
\(693\) 3.80768e6 + 3.80768e6i 0.301181 + 0.301181i
\(694\) 3.51352e6 + 493000.i 0.276913 + 0.0388551i
\(695\) 1.90821e6i 0.149852i
\(696\) 5.09389e6 1.95925e6i 0.398590 0.153308i
\(697\) 4.31177e6i 0.336181i
\(698\) −820861. + 5.85013e6i −0.0637722 + 0.454493i
\(699\) −6.66774e6 6.66774e6i −0.516162 0.516162i
\(700\) 408137. 1.42573e6i 0.0314819 0.109974i
\(701\) 2.01546e6 2.01546e6i 0.154910 0.154910i −0.625397 0.780307i \(-0.715063\pi\)
0.780307 + 0.625397i \(0.215063\pi\)
\(702\) 7.26725e6 5.47879e6i 0.556580 0.419606i
\(703\) −1.73809e6 −0.132643
\(704\) −1.77408e7 906113.i −1.34909 0.0689050i
\(705\) 5.32645e6 0.403613
\(706\) −1.39655e7 + 1.05286e7i −1.05449 + 0.794985i
\(707\) −750574. + 750574.i −0.0564735 + 0.0564735i
\(708\) 991646. 3.46407e6i 0.0743487 0.259719i
\(709\) −1.70737e6 1.70737e6i −0.127559 0.127559i 0.640445 0.768004i \(-0.278750\pi\)
−0.768004 + 0.640445i \(0.778750\pi\)
\(710\) 99762.3 710989.i 0.00742712 0.0529318i
\(711\) 3.30342e6i 0.245070i
\(712\) 1.62512e6 625066.i 0.120140 0.0462089i
\(713\) 1.74990e7i 1.28911i
\(714\) 894986. + 125580.i 0.0657008 + 0.00921881i
\(715\) 3.91692e6 + 3.91692e6i 0.286536 + 0.286536i
\(716\) 1.16062e6 + 2.09162e6i 0.0846070 + 0.152476i
\(717\) 2.89043e6 2.89043e6i 0.209974 0.209974i
\(718\) 3.09689e6 + 4.10782e6i 0.224189 + 0.297372i
\(719\) 2.07619e7 1.49777 0.748884 0.662701i \(-0.230590\pi\)
0.748884 + 0.662701i \(0.230590\pi\)
\(720\) 3.34082e6 774408.i 0.240172 0.0556722i
\(721\) 8.27162e6 0.592588
\(722\) 1.75944e7 + 2.33379e7i 1.25612 + 1.66616i
\(723\) 8.69379e6 8.69379e6i 0.618534 0.618534i
\(724\) 1.61596e7 8.96680e6i 1.14574 0.635757i
\(725\) −1.27602e6 1.27602e6i −0.0901598 0.0901598i
\(726\) 7.77030e6 + 1.09029e6i 0.547137 + 0.0767715i
\(727\) 2.48883e7i 1.74646i 0.487309 + 0.873230i \(0.337979\pi\)
−0.487309 + 0.873230i \(0.662021\pi\)
\(728\) 2.22808e6 5.01331e6i 0.155812 0.350587i
\(729\) 1.11336e7i 0.775921i
\(730\) 1.36740e6 9.74524e6i 0.0949707 0.676839i
\(731\) −1.25550e6 1.25550e6i −0.0869009 0.0869009i
\(732\) 6.55172e6 + 1.87554e6i 0.451937 + 0.129374i
\(733\) 9.21984e6 9.21984e6i 0.633816 0.633816i −0.315207 0.949023i \(-0.602074\pi\)
0.949023 + 0.315207i \(0.102074\pi\)
\(734\) −4.20023e6 + 3.16656e6i −0.287761 + 0.216944i
\(735\) −2.95222e6 −0.201572
\(736\) −953849. 1.07652e7i −0.0649060 0.732534i
\(737\) −1.59289e7 −1.08023
\(738\) 1.26447e7 9.53288e6i 0.854612 0.644293i
\(739\) −3.18394e6 + 3.18394e6i −0.214464 + 0.214464i −0.806161 0.591697i \(-0.798458\pi\)
0.591697 + 0.806161i \(0.298458\pi\)
\(740\) 483543. + 138422.i 0.0324605 + 0.00929235i
\(741\) −8.34320e6 8.34320e6i −0.558196 0.558196i
\(742\) −520516. + 3.70963e6i −0.0347076 + 0.247355i
\(743\) 1.30646e6i 0.0868211i −0.999057 0.0434106i \(-0.986178\pi\)
0.999057 0.0434106i \(-0.0138224\pi\)
\(744\) 1.62010e7 + 7.20025e6i 1.07302 + 0.476887i
\(745\) 6.80247e6i 0.449030i
\(746\) −1.67768e7 2.35404e6i −1.10373 0.154870i
\(747\) 809984. + 809984.i 0.0531098 + 0.0531098i
\(748\) −3.12987e6 + 1.73673e6i −0.204537 + 0.113495i
\(749\) −9.63294e6 + 9.63294e6i −0.627414 + 0.627414i
\(750\) 555618. + 736990.i 0.0360681 + 0.0478419i
\(751\) −1.87700e7 −1.21441 −0.607204 0.794546i \(-0.707709\pi\)
−0.607204 + 0.794546i \(0.707709\pi\)
\(752\) 1.77283e7 + 1.10561e7i 1.14320 + 0.712944i
\(753\) −1.94139e7 −1.24774
\(754\) −4.01874e6 5.33059e6i −0.257432 0.341466i
\(755\) 1.99908e6 1.99908e6i 0.127633 0.127633i
\(756\) 4.53173e6 + 8.16693e6i 0.288377 + 0.519702i
\(757\) 1.33258e7 + 1.33258e7i 0.845190 + 0.845190i 0.989528 0.144338i \(-0.0461054\pi\)
−0.144338 + 0.989528i \(0.546105\pi\)
\(758\) −1.40882e7 1.97679e6i −0.890602 0.124965i
\(759\) 1.05615e7i 0.665457i
\(760\) −4.49128e6 1.16770e7i −0.282057 0.733326i
\(761\) 1.03099e7i 0.645345i 0.946511 + 0.322673i \(0.104581\pi\)
−0.946511 + 0.322673i \(0.895419\pi\)
\(762\) 651805. 4.64530e6i 0.0406659 0.289819i
\(763\)