Properties

Label 80.6.l.a.21.7
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 21.7
Character \(\chi\) \(=\) 80.21
Dual form 80.6.l.a.61.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.61831 - 3.26668i) q^{2} +(-15.8638 + 15.8638i) q^{3} +(10.6576 + 30.1731i) q^{4} +(-17.6777 - 17.6777i) q^{5} +(125.086 - 21.4420i) q^{6} -207.627i q^{7} +(49.3459 - 174.164i) q^{8} -260.322i q^{9} +O(q^{10})\) \(q+(-4.61831 - 3.26668i) q^{2} +(-15.8638 + 15.8638i) q^{3} +(10.6576 + 30.1731i) q^{4} +(-17.6777 - 17.6777i) q^{5} +(125.086 - 21.4420i) q^{6} -207.627i q^{7} +(49.3459 - 174.164i) q^{8} -260.322i q^{9} +(23.8936 + 139.388i) q^{10} +(105.997 + 105.997i) q^{11} +(-647.731 - 309.591i) q^{12} +(-218.980 + 218.980i) q^{13} +(-678.253 + 958.888i) q^{14} +560.871 q^{15} +(-796.832 + 643.145i) q^{16} +790.765 q^{17} +(-850.391 + 1202.25i) q^{18} +(-557.116 + 557.116i) q^{19} +(344.989 - 721.791i) q^{20} +(3293.77 + 3293.77i) q^{21} +(-143.269 - 835.788i) q^{22} -725.182i q^{23} +(1980.09 + 3545.72i) q^{24} +625.000i q^{25} +(1726.65 - 295.979i) q^{26} +(274.800 + 274.800i) q^{27} +(6264.76 - 2212.81i) q^{28} +(-5557.94 + 5557.94i) q^{29} +(-2590.28 - 1832.19i) q^{30} +5937.84 q^{31} +(5780.97 - 367.246i) q^{32} -3363.05 q^{33} +(-3652.00 - 2583.18i) q^{34} +(-3670.37 + 3670.37i) q^{35} +(7854.73 - 2774.41i) q^{36} +(11244.1 + 11244.1i) q^{37} +(4392.86 - 753.014i) q^{38} -6947.72i q^{39} +(-3951.13 + 2206.49i) q^{40} +15399.5i q^{41} +(-4451.95 - 25971.3i) q^{42} +(-9696.97 - 9696.97i) q^{43} +(-2068.59 + 4327.94i) q^{44} +(-4601.89 + 4601.89i) q^{45} +(-2368.94 + 3349.12i) q^{46} -10271.7 q^{47} +(2438.07 - 22843.5i) q^{48} -26302.1 q^{49} +(2041.68 - 2886.44i) q^{50} +(-12544.6 + 12544.6i) q^{51} +(-8941.09 - 4273.50i) q^{52} +(22621.4 + 22621.4i) q^{53} +(-371.428 - 2166.80i) q^{54} -3747.57i q^{55} +(-36161.1 - 10245.6i) q^{56} -17676.0i q^{57} +(43824.3 - 7512.27i) q^{58} +(15232.3 + 15232.3i) q^{59} +(5977.53 + 16923.2i) q^{60} +(29775.5 - 29775.5i) q^{61} +(-27422.8 - 19397.0i) q^{62} -54050.1 q^{63} +(-27898.0 - 17188.5i) q^{64} +7742.11 q^{65} +(15531.6 + 10986.0i) q^{66} +(8220.39 - 8220.39i) q^{67} +(8427.64 + 23859.8i) q^{68} +(11504.2 + 11504.2i) q^{69} +(28940.8 - 4960.98i) q^{70} +23239.8i q^{71} +(-45338.7 - 12845.8i) q^{72} -39178.1i q^{73} +(-15197.8 - 88659.4i) q^{74} +(-9914.90 - 9914.90i) q^{75} +(-22747.4 - 10872.4i) q^{76} +(22008.0 - 22008.0i) q^{77} +(-22696.0 + 32086.7i) q^{78} +60064.3 q^{79} +(25455.4 + 2716.83i) q^{80} +54539.6 q^{81} +(50305.1 - 71119.5i) q^{82} +(-49937.5 + 49937.5i) q^{83} +(-64279.6 + 134487. i) q^{84} +(-13978.9 - 13978.9i) q^{85} +(13106.7 + 76460.5i) q^{86} -176340. i q^{87} +(23691.4 - 13230.4i) q^{88} +80470.0i q^{89} +(36285.9 - 6220.05i) q^{90} +(45466.2 + 45466.2i) q^{91} +(21881.0 - 7728.69i) q^{92} +(-94196.9 + 94196.9i) q^{93} +(47438.0 + 33554.4i) q^{94} +19697.0 q^{95} +(-85882.3 + 97534.2i) q^{96} -25522.0 q^{97} +(121471. + 85920.7i) q^{98} +(27593.5 - 27593.5i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.61831 3.26668i −0.816410 0.577473i
\(3\) −15.8638 + 15.8638i −1.01767 + 1.01767i −0.0178243 + 0.999841i \(0.505674\pi\)
−0.999841 + 0.0178243i \(0.994326\pi\)
\(4\) 10.6576 + 30.1731i 0.333049 + 0.942909i
\(5\) −17.6777 17.6777i −0.316228 0.316228i
\(6\) 125.086 21.4420i 1.41851 0.243157i
\(7\) 207.627i 1.60155i −0.598968 0.800773i \(-0.704422\pi\)
0.598968 0.800773i \(-0.295578\pi\)
\(8\) 49.3459 174.164i 0.272600 0.962127i
\(9\) 260.322i 1.07129i
\(10\) 23.8936 + 139.388i 0.0755584 + 0.440784i
\(11\) 105.997 + 105.997i 0.264127 + 0.264127i 0.826728 0.562601i \(-0.190199\pi\)
−0.562601 + 0.826728i \(0.690199\pi\)
\(12\) −647.731 309.591i −1.29850 0.620633i
\(13\) −218.980 + 218.980i −0.359373 + 0.359373i −0.863582 0.504209i \(-0.831784\pi\)
0.504209 + 0.863582i \(0.331784\pi\)
\(14\) −678.253 + 958.888i −0.924850 + 1.30752i
\(15\) 560.871 0.643628
\(16\) −796.832 + 643.145i −0.778156 + 0.628071i
\(17\) 790.765 0.663628 0.331814 0.943345i \(-0.392339\pi\)
0.331814 + 0.943345i \(0.392339\pi\)
\(18\) −850.391 + 1202.25i −0.618639 + 0.874608i
\(19\) −557.116 + 557.116i −0.354048 + 0.354048i −0.861613 0.507565i \(-0.830546\pi\)
0.507565 + 0.861613i \(0.330546\pi\)
\(20\) 344.989 721.791i 0.192855 0.403494i
\(21\) 3293.77 + 3293.77i 1.62984 + 1.62984i
\(22\) −143.269 835.788i −0.0631097 0.368163i
\(23\) 725.182i 0.285843i −0.989734 0.142921i \(-0.954350\pi\)
0.989734 0.142921i \(-0.0456496\pi\)
\(24\) 1980.09 + 3545.72i 0.701708 + 1.25654i
\(25\) 625.000i 0.200000i
\(26\) 1726.65 295.979i 0.500924 0.0858674i
\(27\) 274.800 + 274.800i 0.0725451 + 0.0725451i
\(28\) 6264.76 2212.81i 1.51011 0.533394i
\(29\) −5557.94 + 5557.94i −1.22721 + 1.22721i −0.262195 + 0.965015i \(0.584446\pi\)
−0.965015 + 0.262195i \(0.915554\pi\)
\(30\) −2590.28 1832.19i −0.525464 0.371678i
\(31\) 5937.84 1.10975 0.554874 0.831934i \(-0.312766\pi\)
0.554874 + 0.831934i \(0.312766\pi\)
\(32\) 5780.97 367.246i 0.997988 0.0633989i
\(33\) −3363.05 −0.537587
\(34\) −3652.00 2583.18i −0.541793 0.383228i
\(35\) −3670.37 + 3670.37i −0.506453 + 0.506453i
\(36\) 7854.73 2774.41i 1.01013 0.356791i
\(37\) 11244.1 + 11244.1i 1.35027 + 1.35027i 0.885360 + 0.464905i \(0.153912\pi\)
0.464905 + 0.885360i \(0.346088\pi\)
\(38\) 4392.86 753.014i 0.493501 0.0845949i
\(39\) 6947.72i 0.731443i
\(40\) −3951.13 + 2206.49i −0.390455 + 0.218048i
\(41\) 15399.5i 1.43069i 0.698771 + 0.715345i \(0.253731\pi\)
−0.698771 + 0.715345i \(0.746269\pi\)
\(42\) −4451.95 25971.3i −0.389428 2.27180i
\(43\) −9696.97 9696.97i −0.799769 0.799769i 0.183290 0.983059i \(-0.441325\pi\)
−0.983059 + 0.183290i \(0.941325\pi\)
\(44\) −2068.59 + 4327.94i −0.161081 + 0.337016i
\(45\) −4601.89 + 4601.89i −0.338770 + 0.338770i
\(46\) −2368.94 + 3349.12i −0.165067 + 0.233365i
\(47\) −10271.7 −0.678264 −0.339132 0.940739i \(-0.610133\pi\)
−0.339132 + 0.940739i \(0.610133\pi\)
\(48\) 2438.07 22843.5i 0.152736 1.43107i
\(49\) −26302.1 −1.56495
\(50\) 2041.68 2886.44i 0.115495 0.163282i
\(51\) −12544.6 + 12544.6i −0.675352 + 0.675352i
\(52\) −8941.09 4273.50i −0.458545 0.219167i
\(53\) 22621.4 + 22621.4i 1.10619 + 1.10619i 0.993647 + 0.112541i \(0.0358991\pi\)
0.112541 + 0.993647i \(0.464101\pi\)
\(54\) −371.428 2166.80i −0.0173337 0.101119i
\(55\) 3747.57i 0.167049i
\(56\) −36161.1 10245.6i −1.54089 0.436582i
\(57\) 17676.0i 0.720604i
\(58\) 43824.3 7512.27i 1.71059 0.293225i
\(59\) 15232.3 + 15232.3i 0.569686 + 0.569686i 0.932040 0.362354i \(-0.118027\pi\)
−0.362354 + 0.932040i \(0.618027\pi\)
\(60\) 5977.53 + 16923.2i 0.214360 + 0.606883i
\(61\) 29775.5 29775.5i 1.02455 1.02455i 0.0248633 0.999691i \(-0.492085\pi\)
0.999691 0.0248633i \(-0.00791503\pi\)
\(62\) −27422.8 19397.0i −0.906009 0.640850i
\(63\) −54050.1 −1.71571
\(64\) −27898.0 17188.5i −0.851378 0.524552i
\(65\) 7742.11 0.227288
\(66\) 15531.6 + 10986.0i 0.438891 + 0.310442i
\(67\) 8220.39 8220.39i 0.223720 0.223720i −0.586343 0.810063i \(-0.699433\pi\)
0.810063 + 0.586343i \(0.199433\pi\)
\(68\) 8427.64 + 23859.8i 0.221021 + 0.625741i
\(69\) 11504.2 + 11504.2i 0.290892 + 0.290892i
\(70\) 28940.8 4960.98i 0.705937 0.121010i
\(71\) 23239.8i 0.547124i 0.961854 + 0.273562i \(0.0882019\pi\)
−0.961854 + 0.273562i \(0.911798\pi\)
\(72\) −45338.7 12845.8i −1.03071 0.292033i
\(73\) 39178.1i 0.860472i −0.902716 0.430236i \(-0.858430\pi\)
0.902716 0.430236i \(-0.141570\pi\)
\(74\) −15197.8 88659.4i −0.322628 1.88211i
\(75\) −9914.90 9914.90i −0.203533 0.203533i
\(76\) −22747.4 10872.4i −0.451750 0.215919i
\(77\) 22008.0 22008.0i 0.423012 0.423012i
\(78\) −22696.0 + 32086.7i −0.422389 + 0.597157i
\(79\) 60064.3 1.08280 0.541401 0.840765i \(-0.317894\pi\)
0.541401 + 0.840765i \(0.317894\pi\)
\(80\) 25455.4 + 2716.83i 0.444688 + 0.0474611i
\(81\) 54539.6 0.923633
\(82\) 50305.1 71119.5i 0.826186 1.16803i
\(83\) −49937.5 + 49937.5i −0.795668 + 0.795668i −0.982409 0.186741i \(-0.940207\pi\)
0.186741 + 0.982409i \(0.440207\pi\)
\(84\) −64279.6 + 134487.i −0.993973 + 2.07961i
\(85\) −13978.9 13978.9i −0.209858 0.209858i
\(86\) 13106.7 + 76460.5i 0.191094 + 1.11478i
\(87\) 176340.i 2.49778i
\(88\) 23691.4 13230.4i 0.326125 0.182123i
\(89\) 80470.0i 1.07686i 0.842670 + 0.538430i \(0.180982\pi\)
−0.842670 + 0.538430i \(0.819018\pi\)
\(90\) 36285.9 6220.05i 0.472206 0.0809446i
\(91\) 45466.2 + 45466.2i 0.575553 + 0.575553i
\(92\) 21881.0 7728.69i 0.269524 0.0951998i
\(93\) −94196.9 + 94196.9i −1.12935 + 1.12935i
\(94\) 47438.0 + 33554.4i 0.553741 + 0.391679i
\(95\) 19697.0 0.223919
\(96\) −85882.3 + 97534.2i −0.951099 + 1.08014i
\(97\) −25522.0 −0.275413 −0.137707 0.990473i \(-0.543973\pi\)
−0.137707 + 0.990473i \(0.543973\pi\)
\(98\) 121471. + 85920.7i 1.27764 + 0.903717i
\(99\) 27593.5 27593.5i 0.282956 0.282956i
\(100\) −18858.2 + 6660.99i −0.188582 + 0.0666099i
\(101\) 139868. + 139868.i 1.36432 + 1.36432i 0.868327 + 0.495992i \(0.165196\pi\)
0.495992 + 0.868327i \(0.334804\pi\)
\(102\) 98913.7 16955.6i 0.941361 0.161366i
\(103\) 115209.i 1.07003i 0.844844 + 0.535013i \(0.179693\pi\)
−0.844844 + 0.535013i \(0.820307\pi\)
\(104\) 27332.6 + 48944.1i 0.247798 + 0.443728i
\(105\) 116452.i 1.03080i
\(106\) −30575.7 178369.i −0.264309 1.54190i
\(107\) −26851.6 26851.6i −0.226731 0.226731i 0.584595 0.811325i \(-0.301254\pi\)
−0.811325 + 0.584595i \(0.801254\pi\)
\(108\) −5362.87 + 11220.3i −0.0442423 + 0.0925645i
\(109\) −3142.11 + 3142.11i −0.0253311 + 0.0253311i −0.719659 0.694328i \(-0.755702\pi\)
0.694328 + 0.719659i \(0.255702\pi\)
\(110\) −12242.1 + 17307.5i −0.0964662 + 0.136380i
\(111\) −356748. −2.74824
\(112\) 133534. + 165444.i 1.00588 + 1.24625i
\(113\) −80743.8 −0.594858 −0.297429 0.954744i \(-0.596129\pi\)
−0.297429 + 0.954744i \(0.596129\pi\)
\(114\) −57741.9 + 81633.2i −0.416130 + 0.588308i
\(115\) −12819.5 + 12819.5i −0.0903915 + 0.0903915i
\(116\) −226934. 108466.i −1.56587 0.748426i
\(117\) 57005.4 + 57005.4i 0.384991 + 0.384991i
\(118\) −20588.4 120107.i −0.136119 0.794076i
\(119\) 164184.i 1.06283i
\(120\) 27676.7 97683.4i 0.175453 0.619252i
\(121\) 138580.i 0.860473i
\(122\) −234780. + 40245.5i −1.42811 + 0.244803i
\(123\) −244294. 244294.i −1.45596 1.45596i
\(124\) 63283.1 + 179163.i 0.369601 + 1.04639i
\(125\) 11048.5 11048.5i 0.0632456 0.0632456i
\(126\) 249620. + 176564.i 1.40073 + 0.990779i
\(127\) 133944. 0.736907 0.368453 0.929646i \(-0.379887\pi\)
0.368453 + 0.929646i \(0.379887\pi\)
\(128\) 72692.1 + 170516.i 0.392159 + 0.919897i
\(129\) 307662. 1.62779
\(130\) −35755.4 25291.0i −0.185560 0.131252i
\(131\) 109479. 109479.i 0.557382 0.557382i −0.371179 0.928561i \(-0.621047\pi\)
0.928561 + 0.371179i \(0.121047\pi\)
\(132\) −35842.0 101474.i −0.179043 0.506895i
\(133\) 115673. + 115673.i 0.567024 + 0.567024i
\(134\) −64817.7 + 11110.9i −0.311840 + 0.0534549i
\(135\) 9715.66i 0.0458815i
\(136\) 39021.0 137722.i 0.180905 0.638495i
\(137\) 84564.2i 0.384933i 0.981304 + 0.192467i \(0.0616487\pi\)
−0.981304 + 0.192467i \(0.938351\pi\)
\(138\) −15549.4 90710.3i −0.0695048 0.405470i
\(139\) 49908.2 + 49908.2i 0.219096 + 0.219096i 0.808118 0.589021i \(-0.200487\pi\)
−0.589021 + 0.808118i \(0.700487\pi\)
\(140\) −149864. 71629.1i −0.646214 0.308866i
\(141\) 162949. 162949.i 0.690246 0.690246i
\(142\) 75916.9 107328.i 0.315949 0.446677i
\(143\) −46422.6 −0.189841
\(144\) 167425. + 207433.i 0.672843 + 0.833628i
\(145\) 196503. 0.776156
\(146\) −127983. + 180937.i −0.496899 + 0.702498i
\(147\) 417253. 417253.i 1.59260 1.59260i
\(148\) −219434. + 459103.i −0.823473 + 1.72288i
\(149\) −31361.2 31361.2i −0.115725 0.115725i 0.646873 0.762598i \(-0.276076\pi\)
−0.762598 + 0.646873i \(0.776076\pi\)
\(150\) 13401.3 + 78178.9i 0.0486315 + 0.283701i
\(151\) 27122.5i 0.0968028i 0.998828 + 0.0484014i \(0.0154127\pi\)
−0.998828 + 0.0484014i \(0.984587\pi\)
\(152\) 69538.0 + 124521.i 0.244126 + 0.437152i
\(153\) 205854.i 0.710936i
\(154\) −173533. + 29746.6i −0.589629 + 0.101073i
\(155\) −104967. 104967.i −0.350933 0.350933i
\(156\) 209634. 74045.9i 0.689685 0.243607i
\(157\) −285267. + 285267.i −0.923640 + 0.923640i −0.997285 0.0736442i \(-0.976537\pi\)
0.0736442 + 0.997285i \(0.476537\pi\)
\(158\) −277396. 196211.i −0.884010 0.625289i
\(159\) −717723. −2.25146
\(160\) −108686. 95701.9i −0.335640 0.295543i
\(161\) −150568. −0.457791
\(162\) −251881. 178163.i −0.754063 0.533373i
\(163\) 370586. 370586.i 1.09250 1.09250i 0.0972352 0.995261i \(-0.469000\pi\)
0.995261 0.0972352i \(-0.0309999\pi\)
\(164\) −464649. + 164121.i −1.34901 + 0.476491i
\(165\) 59450.9 + 59450.9i 0.170000 + 0.170000i
\(166\) 393757. 67497.0i 1.10907 0.190114i
\(167\) 11117.4i 0.0308470i 0.999881 + 0.0154235i \(0.00490964\pi\)
−0.999881 + 0.0154235i \(0.995090\pi\)
\(168\) 736188. 411121.i 2.01241 1.12382i
\(169\) 275389.i 0.741702i
\(170\) 18894.3 + 110223.i 0.0501427 + 0.292517i
\(171\) 145030. + 145030.i 0.379286 + 0.379286i
\(172\) 189241. 395934.i 0.487747 1.02047i
\(173\) −415152. + 415152.i −1.05461 + 1.05461i −0.0561909 + 0.998420i \(0.517896\pi\)
−0.998420 + 0.0561909i \(0.982104\pi\)
\(174\) −576048. + 814395.i −1.44240 + 2.03921i
\(175\) 129767. 0.320309
\(176\) −152634. 16290.4i −0.371423 0.0396416i
\(177\) −483286. −1.15950
\(178\) 262870. 371636.i 0.621858 0.879159i
\(179\) 482106. 482106.i 1.12463 1.12463i 0.133595 0.991036i \(-0.457348\pi\)
0.991036 0.133595i \(-0.0426520\pi\)
\(180\) −187898. 89808.3i −0.432257 0.206602i
\(181\) −530714. 530714.i −1.20410 1.20410i −0.972907 0.231197i \(-0.925736\pi\)
−0.231197 0.972907i \(-0.574264\pi\)
\(182\) −61453.4 358501.i −0.137521 0.802253i
\(183\) 944708.i 2.08531i
\(184\) −126300. 35784.7i −0.275017 0.0779208i
\(185\) 397538.i 0.853983i
\(186\) 742742. 127319.i 1.57418 0.269843i
\(187\) 83819.0 + 83819.0i 0.175282 + 0.175282i
\(188\) −109472. 309930.i −0.225895 0.639541i
\(189\) 57056.1 57056.1i 0.116184 0.116184i
\(190\) −90967.0 64343.9i −0.182810 0.129307i
\(191\) −988041. −1.95971 −0.979854 0.199713i \(-0.935999\pi\)
−0.979854 + 0.199713i \(0.935999\pi\)
\(192\) 715245. 169893.i 1.40024 0.332600i
\(193\) 274345. 0.530156 0.265078 0.964227i \(-0.414602\pi\)
0.265078 + 0.964227i \(0.414602\pi\)
\(194\) 117868. + 83372.1i 0.224850 + 0.159044i
\(195\) −122819. + 122819.i −0.231303 + 0.231303i
\(196\) −280317. 793617.i −0.521206 1.47561i
\(197\) 452496. + 452496.i 0.830709 + 0.830709i 0.987614 0.156905i \(-0.0501516\pi\)
−0.156905 + 0.987614i \(0.550152\pi\)
\(198\) −217574. + 37296.2i −0.394407 + 0.0676085i
\(199\) 504657.i 0.903365i 0.892179 + 0.451683i \(0.149176\pi\)
−0.892179 + 0.451683i \(0.850824\pi\)
\(200\) 108852. + 30841.2i 0.192425 + 0.0545200i
\(201\) 260814.i 0.455345i
\(202\) −189050. 1.10286e6i −0.325986 1.90170i
\(203\) 1.15398e6 + 1.15398e6i 1.96543 + 1.96543i
\(204\) −512203. 244814.i −0.861721 0.411870i
\(205\) 272227. 272227.i 0.452424 0.452424i
\(206\) 376352. 532073.i 0.617912 0.873580i
\(207\) −188781. −0.306219
\(208\) 33654.4 315326.i 0.0539366 0.505360i
\(209\) −118106. −0.187027
\(210\) −380412. + 537813.i −0.595260 + 0.841555i
\(211\) −556380. + 556380.i −0.860331 + 0.860331i −0.991376 0.131046i \(-0.958167\pi\)
0.131046 + 0.991376i \(0.458167\pi\)
\(212\) −441468. + 923646.i −0.674620 + 1.41145i
\(213\) −368672. 368672.i −0.556789 0.556789i
\(214\) 36293.4 + 211725.i 0.0541743 + 0.316036i
\(215\) 342839.i 0.505818i
\(216\) 61420.5 34300.0i 0.0895734 0.0500218i
\(217\) 1.23286e6i 1.77731i
\(218\) 24775.5 4246.96i 0.0353086 0.00605253i
\(219\) 621516. + 621516.i 0.875673 + 0.875673i
\(220\) 113076. 39940.1i 0.157512 0.0556355i
\(221\) −173161. + 173161.i −0.238490 + 0.238490i
\(222\) 1.64757e6 + 1.16538e6i 2.24369 + 1.58703i
\(223\) 135203. 0.182063 0.0910317 0.995848i \(-0.470984\pi\)
0.0910317 + 0.995848i \(0.470984\pi\)
\(224\) −76250.3 1.20029e6i −0.101536 1.59832i
\(225\) 162702. 0.214257
\(226\) 372900. + 263764.i 0.485648 + 0.343515i
\(227\) −555431. + 555431.i −0.715428 + 0.715428i −0.967665 0.252237i \(-0.918834\pi\)
0.252237 + 0.967665i \(0.418834\pi\)
\(228\) 533340. 188383.i 0.679464 0.239997i
\(229\) 212624. + 212624.i 0.267931 + 0.267931i 0.828266 0.560335i \(-0.189328\pi\)
−0.560335 + 0.828266i \(0.689328\pi\)
\(230\) 101082. 17327.2i 0.125995 0.0215978i
\(231\) 698261.i 0.860970i
\(232\) 693730. + 1.24225e6i 0.846195 + 1.51527i
\(233\) 5580.59i 0.00673426i −0.999994 0.00336713i \(-0.998928\pi\)
0.999994 0.00336713i \(-0.00107179\pi\)
\(234\) −77050.1 449487.i −0.0919885 0.536633i
\(235\) 181580. + 181580.i 0.214486 + 0.214486i
\(236\) −297266. + 621946.i −0.347429 + 0.726896i
\(237\) −952851. + 952851.i −1.10193 + 1.10193i
\(238\) −536338. + 758255.i −0.613757 + 0.867706i
\(239\) 956719. 1.08340 0.541701 0.840571i \(-0.317781\pi\)
0.541701 + 0.840571i \(0.317781\pi\)
\(240\) −446920. + 360721.i −0.500843 + 0.404244i
\(241\) −380557. −0.422063 −0.211031 0.977479i \(-0.567682\pi\)
−0.211031 + 0.977479i \(0.567682\pi\)
\(242\) −452697. + 640006.i −0.496900 + 0.702499i
\(243\) −931983. + 931983.i −1.01249 + 1.01249i
\(244\) 1.21576e6 + 581085.i 1.30729 + 0.624834i
\(245\) 464960. + 464960.i 0.494881 + 0.494881i
\(246\) 330195. + 1.92626e6i 0.347883 + 2.02944i
\(247\) 243994.i 0.254471i
\(248\) 293008. 1.03416e6i 0.302517 1.06772i
\(249\) 1.58440e6i 1.61945i
\(250\) −87117.7 + 14933.5i −0.0881569 + 0.0151117i
\(251\) 520698. + 520698.i 0.521676 + 0.521676i 0.918077 0.396401i \(-0.129741\pi\)
−0.396401 + 0.918077i \(0.629741\pi\)
\(252\) −576043. 1.63086e6i −0.571418 1.61776i
\(253\) 76867.4 76867.4i 0.0754989 0.0754989i
\(254\) −618593. 437551.i −0.601618 0.425544i
\(255\) 443517. 0.427130
\(256\) 221306. 1.02496e6i 0.211054 0.977474i
\(257\) −1.17674e6 −1.11135 −0.555673 0.831401i \(-0.687539\pi\)
−0.555673 + 0.831401i \(0.687539\pi\)
\(258\) −1.42088e6 1.00503e6i −1.32895 0.940008i
\(259\) 2.33458e6 2.33458e6i 2.16251 2.16251i
\(260\) 82512.1 + 233603.i 0.0756980 + 0.214312i
\(261\) 1.44686e6 + 1.44686e6i 1.31469 + 1.31469i
\(262\) −863241. + 147975.i −0.776925 + 0.133179i
\(263\) 634969.i 0.566061i −0.959111 0.283030i \(-0.908660\pi\)
0.959111 0.283030i \(-0.0913397\pi\)
\(264\) −165953. + 585721.i −0.146546 + 0.517227i
\(265\) 799786.i 0.699615i
\(266\) −156346. 912077.i −0.135483 0.790365i
\(267\) −1.27656e6 1.27656e6i −1.09588 1.09588i
\(268\) 335644. + 160425.i 0.285458 + 0.136438i
\(269\) 1.21819e6 1.21819e6i 1.02644 1.02644i 0.0267968 0.999641i \(-0.491469\pi\)
0.999641 0.0267968i \(-0.00853069\pi\)
\(270\) −31738.0 + 44869.9i −0.0264954 + 0.0374581i
\(271\) 602236. 0.498131 0.249065 0.968487i \(-0.419877\pi\)
0.249065 + 0.968487i \(0.419877\pi\)
\(272\) −630106. + 508576.i −0.516406 + 0.416806i
\(273\) −1.44254e6 −1.17144
\(274\) 276244. 390544.i 0.222289 0.314263i
\(275\) −66248.4 + 66248.4i −0.0528255 + 0.0528255i
\(276\) −224510. + 469723.i −0.177404 + 0.371167i
\(277\) 886773. + 886773.i 0.694406 + 0.694406i 0.963198 0.268792i \(-0.0866246\pi\)
−0.268792 + 0.963198i \(0.586625\pi\)
\(278\) −67457.4 393526.i −0.0523501 0.305395i
\(279\) 1.54575e6i 1.18886i
\(280\) 458127. + 820362.i 0.349214 + 0.625332i
\(281\) 891843.i 0.673787i −0.941543 0.336893i \(-0.890624\pi\)
0.941543 0.336893i \(-0.109376\pi\)
\(282\) −1.28485e6 + 220246.i −0.962122 + 0.164925i
\(283\) −215112. 215112.i −0.159661 0.159661i 0.622756 0.782416i \(-0.286013\pi\)
−0.782416 + 0.622756i \(0.786013\pi\)
\(284\) −701216. + 247680.i −0.515888 + 0.182219i
\(285\) −312470. + 312470.i −0.227875 + 0.227875i
\(286\) 214394. + 151648.i 0.154988 + 0.109628i
\(287\) 3.19735e6 2.29132
\(288\) −95602.3 1.50492e6i −0.0679184 1.06913i
\(289\) −794548. −0.559597
\(290\) −907511. 641912.i −0.633661 0.448209i
\(291\) 404876. 404876.i 0.280279 0.280279i
\(292\) 1.18213e6 417544.i 0.811347 0.286580i
\(293\) −967135. 967135.i −0.658140 0.658140i 0.296800 0.954940i \(-0.404080\pi\)
−0.954940 + 0.296800i \(0.904080\pi\)
\(294\) −3.29003e6 + 563971.i −2.21989 + 0.380529i
\(295\) 538544.i 0.360301i
\(296\) 2.51316e6 1.40346e6i 1.66721 0.931045i
\(297\) 58256.2i 0.0383223i
\(298\) 42388.6 + 247282.i 0.0276509 + 0.161307i
\(299\) 158800. + 158800.i 0.102724 + 0.102724i
\(300\) 193494. 404832.i 0.124127 0.259700i
\(301\) −2.01336e6 + 2.01336e6i −1.28087 + 1.28087i
\(302\) 88600.7 125260.i 0.0559010 0.0790308i
\(303\) −4.43770e6 −2.77684
\(304\) 85621.6 802234.i 0.0531373 0.497871i
\(305\) −1.05272e6 −0.647985
\(306\) −672459. + 950697.i −0.410546 + 0.580415i
\(307\) −2.10116e6 + 2.10116e6i −1.27237 + 1.27237i −0.327528 + 0.944842i \(0.606216\pi\)
−0.944842 + 0.327528i \(0.893784\pi\)
\(308\) 898600. + 429497.i 0.539746 + 0.257978i
\(309\) −1.82766e6 1.82766e6i −1.08893 1.08893i
\(310\) 141877. + 827666.i 0.0838507 + 0.489160i
\(311\) 2.92143e6i 1.71275i −0.516351 0.856377i \(-0.672710\pi\)
0.516351 0.856377i \(-0.327290\pi\)
\(312\) −1.21004e6 342841.i −0.703742 0.199391i
\(313\) 329253.i 0.189963i −0.995479 0.0949814i \(-0.969721\pi\)
0.995479 0.0949814i \(-0.0302792\pi\)
\(314\) 2.24933e6 385576.i 1.28745 0.220691i
\(315\) 955479. + 955479.i 0.542556 + 0.542556i
\(316\) 640141. + 1.81233e6i 0.360627 + 1.02098i
\(317\) −165590. + 165590.i −0.0925519 + 0.0925519i −0.751867 0.659315i \(-0.770846\pi\)
0.659315 + 0.751867i \(0.270846\pi\)
\(318\) 3.31467e6 + 2.34457e6i 1.83811 + 1.30016i
\(319\) −1.17825e6 −0.648279
\(320\) 189318. + 797024.i 0.103352 + 0.435107i
\(321\) 851938. 0.461472
\(322\) 695368. + 491857.i 0.373745 + 0.264362i
\(323\) −440548. + 440548.i −0.234956 + 0.234956i
\(324\) 581260. + 1.64563e6i 0.307615 + 0.870902i
\(325\) −136862. 136862.i −0.0718746 0.0718746i
\(326\) −2.92207e6 + 500895.i −1.52281 + 0.261037i
\(327\) 99691.7i 0.0515572i
\(328\) 2.68203e6 + 759900.i 1.37651 + 0.390006i
\(329\) 2.13269e6i 1.08627i
\(330\) −80355.5 468770.i −0.0406192 0.236960i
\(331\) −1.93413e6 1.93413e6i −0.970320 0.970320i 0.0292523 0.999572i \(-0.490687\pi\)
−0.999572 + 0.0292523i \(0.990687\pi\)
\(332\) −2.03898e6 974557.i −1.01524 0.485246i
\(333\) 2.92708e6 2.92708e6i 1.44652 1.44652i
\(334\) 36317.0 51343.7i 0.0178133 0.0251838i
\(335\) −290635. −0.141493
\(336\) −4.74295e6 506210.i −2.29192 0.244615i
\(337\) 2.32458e6 1.11499 0.557493 0.830181i \(-0.311763\pi\)
0.557493 + 0.830181i \(0.311763\pi\)
\(338\) 899607. 1.27183e6i 0.428313 0.605533i
\(339\) 1.28091e6 1.28091e6i 0.605366 0.605366i
\(340\) 272805. 570767.i 0.127984 0.267770i
\(341\) 629396. + 629396.i 0.293115 + 0.293115i
\(342\) −196027. 1.14356e6i −0.0906253 0.528681i
\(343\) 1.97145e6i 0.904796i
\(344\) −2.16736e6 + 1.21035e6i −0.987497 + 0.551463i
\(345\) 406734.i 0.183977i
\(346\) 3.27347e6 561132.i 1.47000 0.251985i
\(347\) 491869. + 491869.i 0.219293 + 0.219293i 0.808201 0.588907i \(-0.200442\pi\)
−0.588907 + 0.808201i \(0.700442\pi\)
\(348\) 5.32074e6 1.87936e6i 2.35518 0.831884i
\(349\) 2.24702e6 2.24702e6i 0.987514 0.987514i −0.0124086 0.999923i \(-0.503950\pi\)
0.999923 + 0.0124086i \(0.00394988\pi\)
\(350\) −599305. 423908.i −0.261504 0.184970i
\(351\) −120351. −0.0521415
\(352\) 651694. + 573840.i 0.280341 + 0.246851i
\(353\) −735511. −0.314161 −0.157080 0.987586i \(-0.550208\pi\)
−0.157080 + 0.987586i \(0.550208\pi\)
\(354\) 2.23196e6 + 1.57874e6i 0.946627 + 0.669580i
\(355\) 410825. 410825.i 0.173016 0.173016i
\(356\) −2.42803e6 + 857616.i −1.01538 + 0.358648i
\(357\) 2.60459e6 + 2.60459e6i 1.08161 + 1.08161i
\(358\) −3.80140e6 + 651628.i −1.56760 + 0.268715i
\(359\) 777474.i 0.318383i 0.987248 + 0.159191i \(0.0508887\pi\)
−0.987248 + 0.159191i \(0.949111\pi\)
\(360\) 574398. + 1.02857e6i 0.233591 + 0.418289i
\(361\) 1.85534e6i 0.749300i
\(362\) 717328. + 4.18467e6i 0.287704 + 1.67838i
\(363\) 2.19841e6 + 2.19841e6i 0.875674 + 0.875674i
\(364\) −887296. + 1.85642e6i −0.351007 + 0.734382i
\(365\) −692578. + 692578.i −0.272105 + 0.272105i
\(366\) 3.08606e6 4.36296e6i 1.20421 1.70246i
\(367\) 1.55035e6 0.600850 0.300425 0.953805i \(-0.402872\pi\)
0.300425 + 0.953805i \(0.402872\pi\)
\(368\) 466397. + 577848.i 0.179530 + 0.222430i
\(369\) 4.00882e6 1.53268
\(370\) −1.29863e6 + 1.83595e6i −0.493152 + 0.697200i
\(371\) 4.69681e6 4.69681e6i 1.77161 1.77161i
\(372\) −3.84613e6 1.83830e6i −1.44101 0.688747i
\(373\) −3.16935e6 3.16935e6i −1.17950 1.17950i −0.979871 0.199630i \(-0.936026\pi\)
−0.199630 0.979871i \(-0.563974\pi\)
\(374\) −113292. 660912.i −0.0418814 0.244323i
\(375\) 350545.i 0.128726i
\(376\) −506867. + 1.78896e6i −0.184895 + 0.652576i
\(377\) 2.43415e6i 0.882053i
\(378\) −449887. + 77118.6i −0.161947 + 0.0277607i
\(379\) −1.07742e6 1.07742e6i −0.385289 0.385289i 0.487715 0.873003i \(-0.337831\pi\)
−0.873003 + 0.487715i \(0.837831\pi\)
\(380\) 209923. + 594320.i 0.0745762 + 0.211136i
\(381\) −2.12486e6 + 2.12486e6i −0.749924 + 0.749924i
\(382\) 4.56308e6 + 3.22762e6i 1.59993 + 1.13168i
\(383\) 417931. 0.145582 0.0727910 0.997347i \(-0.476809\pi\)
0.0727910 + 0.997347i \(0.476809\pi\)
\(384\) −3.85821e6 1.55186e6i −1.33523 0.537061i
\(385\) −778099. −0.267536
\(386\) −1.26701e6 896197.i −0.432824 0.306151i
\(387\) −2.52434e6 + 2.52434e6i −0.856781 + 0.856781i
\(388\) −272002. 770077.i −0.0917262 0.259690i
\(389\) 307997. + 307997.i 0.103198 + 0.103198i 0.756821 0.653622i \(-0.226752\pi\)
−0.653622 + 0.756821i \(0.726752\pi\)
\(390\) 968431. 166006.i 0.322409 0.0552667i
\(391\) 573448.i 0.189693i
\(392\) −1.29790e6 + 4.58088e6i −0.426606 + 1.50568i
\(393\) 3.47351e6i 1.13446i
\(394\) −611606. 3.56793e6i −0.198487 1.15791i
\(395\) −1.06180e6 1.06180e6i −0.342412 0.342412i
\(396\) 1.12666e6 + 538501.i 0.361040 + 0.172563i
\(397\) −1.38664e6 + 1.38664e6i −0.441559 + 0.441559i −0.892536 0.450977i \(-0.851076\pi\)
0.450977 + 0.892536i \(0.351076\pi\)
\(398\) 1.64855e6 2.33066e6i 0.521669 0.737516i
\(399\) −3.67002e6 −1.15408
\(400\) −401965. 498020.i −0.125614 0.155631i
\(401\) 4.12677e6 1.28159 0.640795 0.767712i \(-0.278605\pi\)
0.640795 + 0.767712i \(0.278605\pi\)
\(402\) 851995. 1.20452e6i 0.262949 0.371748i
\(403\) −1.30027e6 + 1.30027e6i −0.398814 + 0.398814i
\(404\) −2.72960e6 + 5.71092e6i −0.832044 + 1.74082i
\(405\) −964133. 964133.i −0.292078 0.292078i
\(406\) −1.55975e6 9.09913e6i −0.469614 2.73958i
\(407\) 2.38368e6i 0.713284i
\(408\) 1.56578e6 + 2.80383e6i 0.465673 + 0.833875i
\(409\) 3.82776e6i 1.13145i 0.824593 + 0.565727i \(0.191404\pi\)
−0.824593 + 0.565727i \(0.808596\pi\)
\(410\) −2.14650e6 + 367949.i −0.630626 + 0.108101i
\(411\) −1.34151e6 1.34151e6i −0.391733 0.391733i
\(412\) −3.47622e6 + 1.22785e6i −1.00894 + 0.356372i
\(413\) 3.16264e6 3.16264e6i 0.912379 0.912379i
\(414\) 871850. + 616688.i 0.250000 + 0.176833i
\(415\) 1.76556e6 0.503225
\(416\) −1.18550e6 + 1.34633e6i −0.335866 + 0.381434i
\(417\) −1.58347e6 −0.445934
\(418\) 545449. + 385814.i 0.152691 + 0.108003i
\(419\) −2.93291e6 + 2.93291e6i −0.816139 + 0.816139i −0.985546 0.169407i \(-0.945815\pi\)
0.169407 + 0.985546i \(0.445815\pi\)
\(420\) 3.51372e6 1.24110e6i 0.971951 0.343308i
\(421\) −663610. 663610.i −0.182477 0.182477i 0.609957 0.792434i \(-0.291187\pi\)
−0.792434 + 0.609957i \(0.791187\pi\)
\(422\) 4.38705e6 752019.i 1.19920 0.205564i
\(423\) 2.67396e6i 0.726614i
\(424\) 5.05609e6 2.82355e6i 1.36584 0.762747i
\(425\) 494228.i 0.132726i
\(426\) 498307. + 2.90697e6i 0.133037 + 0.776099i
\(427\) −6.18222e6 6.18222e6i −1.64087 1.64087i
\(428\) 524022. 1.09637e6i 0.138274 0.289299i
\(429\) 736440. 736440.i 0.193194 0.193194i
\(430\) 1.11995e6 1.58334e6i 0.292097 0.412955i
\(431\) 5.51305e6 1.42955 0.714774 0.699355i \(-0.246529\pi\)
0.714774 + 0.699355i \(0.246529\pi\)
\(432\) −395706. 42233.3i −0.102015 0.0108879i
\(433\) 1.36860e6 0.350797 0.175398 0.984498i \(-0.443879\pi\)
0.175398 + 0.984498i \(0.443879\pi\)
\(434\) −4.02736e6 + 5.69372e6i −1.02635 + 1.45102i
\(435\) −3.11729e6 + 3.11729e6i −0.789867 + 0.789867i
\(436\) −128294. 61319.8i −0.0323215 0.0154484i
\(437\) 404011. + 404011.i 0.101202 + 0.101202i
\(438\) −840058. 4.90065e6i −0.209230 1.22058i
\(439\) 5.68148e6i 1.40702i 0.710686 + 0.703510i \(0.248385\pi\)
−0.710686 + 0.703510i \(0.751615\pi\)
\(440\) −652691. 184927.i −0.160722 0.0455375i
\(441\) 6.84704e6i 1.67651i
\(442\) 1.36538e6 234050.i 0.332427 0.0569840i
\(443\) 306470. + 306470.i 0.0741957 + 0.0741957i 0.743231 0.669035i \(-0.233292\pi\)
−0.669035 + 0.743231i \(0.733292\pi\)
\(444\) −3.80207e6 1.07642e7i −0.915299 2.59134i
\(445\) 1.42252e6 1.42252e6i 0.340533 0.340533i
\(446\) −624407. 441664.i −0.148638 0.105137i
\(447\) 995016. 0.235538
\(448\) −3.56881e6 + 5.79238e6i −0.840094 + 1.36352i
\(449\) 1.77337e6 0.415130 0.207565 0.978221i \(-0.433446\pi\)
0.207565 + 0.978221i \(0.433446\pi\)
\(450\) −751406. 531494.i −0.174922 0.123728i
\(451\) −1.63230e6 + 1.63230e6i −0.377885 + 0.377885i
\(452\) −860534. 2.43629e6i −0.198117 0.560897i
\(453\) −430268. 430268.i −0.0985129 0.0985129i
\(454\) 4.37957e6 750737.i 0.997223 0.170942i
\(455\) 1.60747e6i 0.364012i
\(456\) −3.07852e6 872238.i −0.693313 0.196437i
\(457\) 131715.i 0.0295016i 0.999891 + 0.0147508i \(0.00469549\pi\)
−0.999891 + 0.0147508i \(0.995305\pi\)
\(458\) −287388. 1.67654e6i −0.0640185 0.373464i
\(459\) 217302. + 217302.i 0.0481430 + 0.0481430i
\(460\) −523430. 250180.i −0.115336 0.0551261i
\(461\) −5.97163e6 + 5.97163e6i −1.30870 + 1.30870i −0.386348 + 0.922353i \(0.626264\pi\)
−0.922353 + 0.386348i \(0.873736\pi\)
\(462\) 2.28100e6 3.22479e6i 0.497187 0.702904i
\(463\) −1.48252e6 −0.321401 −0.160700 0.987003i \(-0.551375\pi\)
−0.160700 + 0.987003i \(0.551375\pi\)
\(464\) 854184. 8.00330e6i 0.184186 1.72574i
\(465\) 3.33037e6 0.714265
\(466\) −18230.0 + 25772.9i −0.00388886 + 0.00549792i
\(467\) 539353. 539353.i 0.114441 0.114441i −0.647567 0.762008i \(-0.724214\pi\)
0.762008 + 0.647567i \(0.224214\pi\)
\(468\) −1.11249e6 + 2.32757e6i −0.234791 + 0.491233i
\(469\) −1.70678e6 1.70678e6i −0.358298 0.358298i
\(470\) −245429. 1.43176e6i −0.0512485 0.298968i
\(471\) 9.05087e6i 1.87991i
\(472\) 3.40457e6 1.90126e6i 0.703407 0.392814i
\(473\) 2.05571e6i 0.422482i
\(474\) 7.51322e6 1.28790e6i 1.53596 0.263291i
\(475\) −348198. 348198.i −0.0708095 0.0708095i
\(476\) 4.95395e6 1.74981e6i 1.00215 0.353976i
\(477\) 5.88885e6 5.88885e6i 1.18504 1.18504i
\(478\) −4.41843e6 3.12530e6i −0.884500 0.625636i
\(479\) 817685. 0.162835 0.0814174 0.996680i \(-0.474055\pi\)
0.0814174 + 0.996680i \(0.474055\pi\)
\(480\) 3.24238e6 205978.i 0.642333 0.0408053i
\(481\) −4.92445e6 −0.970499
\(482\) 1.75753e6 + 1.24316e6i 0.344576 + 0.243730i
\(483\) 2.38858e6 2.38858e6i 0.465878 0.465878i
\(484\) 4.18139e6 1.47693e6i 0.811348 0.286580i
\(485\) 451169. + 451169.i 0.0870933 + 0.0870933i
\(486\) 7.34868e6 1.25970e6i 1.41130 0.241922i
\(487\) 2.31590e6i 0.442483i −0.975219 0.221242i \(-0.928989\pi\)
0.975219 0.221242i \(-0.0710110\pi\)
\(488\) −3.71652e6 6.65512e6i −0.706458 1.26505i
\(489\) 1.17578e7i 2.22359i
\(490\) −628454. 3.66621e6i −0.118245 0.689806i
\(491\) −826277. 826277.i −0.154676 0.154676i 0.625527 0.780203i \(-0.284884\pi\)
−0.780203 + 0.625527i \(0.784884\pi\)
\(492\) 4.76753e6 9.97471e6i 0.887934 1.85775i
\(493\) −4.39502e6 + 4.39502e6i −0.814411 + 0.814411i
\(494\) −797052. + 1.12684e6i −0.146950 + 0.207752i
\(495\) −975577. −0.178957
\(496\) −4.73146e6 + 3.81889e6i −0.863557 + 0.697001i
\(497\) 4.82521e6 0.876245
\(498\) −5.17574e6 + 7.31726e6i −0.935188 + 1.32213i
\(499\) −5.05925e6 + 5.05925e6i −0.909567 + 0.909567i −0.996237 0.0866697i \(-0.972378\pi\)
0.0866697 + 0.996237i \(0.472378\pi\)
\(500\) 451120. + 215618.i 0.0806987 + 0.0385709i
\(501\) −176365. 176365.i −0.0313919 0.0313919i
\(502\) −703790. 4.10570e6i −0.124648 0.727156i
\(503\) 6.85970e6i 1.20888i 0.796649 + 0.604442i \(0.206604\pi\)
−0.796649 + 0.604442i \(0.793396\pi\)
\(504\) −2.66715e6 + 9.41356e6i −0.467704 + 1.65074i
\(505\) 4.94509e6i 0.862871i
\(506\) −606099. + 103896.i −0.105237 + 0.0180394i
\(507\) −4.36872e6 4.36872e6i −0.754804 0.754804i
\(508\) 1.42751e6 + 4.04149e6i 0.245426 + 0.694836i
\(509\) −2.44299e6 + 2.44299e6i −0.417952 + 0.417952i −0.884497 0.466545i \(-0.845499\pi\)
0.466545 + 0.884497i \(0.345499\pi\)
\(510\) −2.04830e6 1.44883e6i −0.348713 0.246656i
\(511\) −8.13446e6 −1.37809
\(512\) −4.37027e6 + 4.01063e6i −0.736772 + 0.676142i
\(513\) −306191. −0.0513688
\(514\) 5.43457e6 + 3.84405e6i 0.907313 + 0.641772i
\(515\) 2.03663e6 2.03663e6i 0.338372 0.338372i
\(516\) 3.27893e6 + 9.28312e6i 0.542136 + 1.53486i
\(517\) −1.08878e6 1.08878e6i −0.179148 0.179148i
\(518\) −1.84081e7 + 3.15548e6i −3.01429 + 0.516703i
\(519\) 1.31718e7i 2.14648i
\(520\) 382041. 1.34839e6i 0.0619586 0.218680i
\(521\) 6.94705e6i 1.12126i 0.828066 + 0.560630i \(0.189441\pi\)
−0.828066 + 0.560630i \(0.810559\pi\)
\(522\) −1.95561e6 1.14084e7i −0.314128 1.83253i
\(523\) 3.42284e6 + 3.42284e6i 0.547182 + 0.547182i 0.925625 0.378442i \(-0.123540\pi\)
−0.378442 + 0.925625i \(0.623540\pi\)
\(524\) 4.47010e6 + 2.13654e6i 0.711196 + 0.339925i
\(525\) −2.05860e6 + 2.05860e6i −0.325968 + 0.325968i
\(526\) −2.07424e6 + 2.93248e6i −0.326885 + 0.462138i
\(527\) 4.69544e6 0.736460
\(528\) 2.67978e6 2.16293e6i 0.418326 0.337642i
\(529\) 5.91045e6 0.918294
\(530\) −2.61265e6 + 3.69366e6i −0.404009 + 0.571172i
\(531\) 3.96531e6 3.96531e6i 0.610297 0.610297i
\(532\) −2.25741e6 + 4.72299e6i −0.345805 + 0.723499i
\(533\) −3.37217e6 3.37217e6i −0.514152 0.514152i
\(534\) 1.72544e6 + 1.00657e7i 0.261846 + 1.52753i
\(535\) 949347.i 0.143397i
\(536\) −1.02605e6 1.83733e6i −0.154261 0.276233i
\(537\) 1.52961e7i 2.28900i
\(538\) −9.60538e6 + 1.64653e6i −1.43073 + 0.245253i
\(539\) −2.78796e6 2.78796e6i −0.413346 0.413346i
\(540\) 293152. 103545.i 0.0432621 0.0152808i
\(541\) 3.55529e6 3.55529e6i 0.522255 0.522255i −0.395997 0.918252i \(-0.629601\pi\)
0.918252 + 0.395997i \(0.129601\pi\)
\(542\) −2.78131e6 1.96731e6i −0.406679 0.287657i
\(543\) 1.68383e7 2.45075
\(544\) 4.57138e6 290405.i 0.662293 0.0420733i
\(545\) 111090. 0.0160208
\(546\) 6.66208e6 + 4.71231e6i 0.956375 + 0.676475i
\(547\) −841266. + 841266.i −0.120217 + 0.120217i −0.764656 0.644439i \(-0.777091\pi\)
0.644439 + 0.764656i \(0.277091\pi\)
\(548\) −2.55156e6 + 901250.i −0.362957 + 0.128202i
\(549\) −7.75124e6 7.75124e6i −1.09759 1.09759i
\(550\) 522368. 89543.2i 0.0736325 0.0126219i
\(551\) 6.19284e6i 0.868981i
\(552\) 2.57129e6 1.43592e6i 0.359173 0.200578i
\(553\) 1.24710e7i 1.73416i
\(554\) −1.19859e6 6.99220e6i −0.165919 0.967920i
\(555\) 6.30648e6 + 6.30648e6i 0.869069 + 0.869069i
\(556\) −973985. + 2.03779e6i −0.133618 + 0.279558i
\(557\) 5.27270e6 5.27270e6i 0.720104 0.720104i −0.248522 0.968626i \(-0.579945\pi\)
0.968626 + 0.248522i \(0.0799449\pi\)
\(558\) −5.04949e6 + 7.13877e6i −0.686533 + 0.970595i
\(559\) 4.24688e6 0.574831
\(560\) 564089. 5.28524e6i 0.0760111 0.712189i
\(561\) −2.65938e6 −0.356758
\(562\) −2.91337e6 + 4.11881e6i −0.389094 + 0.550086i
\(563\) −2.72831e6 + 2.72831e6i −0.362763 + 0.362763i −0.864829 0.502066i \(-0.832573\pi\)
0.502066 + 0.864829i \(0.332573\pi\)
\(564\) 6.65332e6 + 3.18003e6i 0.880725 + 0.420953i
\(565\) 1.42736e6 + 1.42736e6i 0.188111 + 0.188111i
\(566\) 290752. + 1.69616e6i 0.0381488 + 0.222549i
\(567\) 1.13239e7i 1.47924i
\(568\) 4.04752e6 + 1.14679e6i 0.526403 + 0.149146i
\(569\) 2.27113e6i 0.294077i −0.989131 0.147039i \(-0.953026\pi\)
0.989131 0.147039i \(-0.0469741\pi\)
\(570\) 2.46383e6 422344.i 0.317631 0.0544477i
\(571\) 4.09926e6 + 4.09926e6i 0.526157 + 0.526157i 0.919424 0.393267i \(-0.128655\pi\)
−0.393267 + 0.919424i \(0.628655\pi\)
\(572\) −494752. 1.40071e6i −0.0632263 0.179002i
\(573\) 1.56741e7 1.56741e7i 1.99433 1.99433i
\(574\) −1.47664e7 1.04447e7i −1.87065 1.32317i
\(575\) 453239. 0.0571686
\(576\) −4.47456e6 + 7.26247e6i −0.561945 + 0.912070i
\(577\) −1.13593e7 −1.42040 −0.710200 0.703999i \(-0.751396\pi\)
−0.710200 + 0.703999i \(0.751396\pi\)
\(578\) 3.66947e6 + 2.59554e6i 0.456861 + 0.323153i
\(579\) −4.35216e6 + 4.35216e6i −0.539521 + 0.539521i
\(580\) 2.09425e6 + 5.92910e6i 0.258498 + 0.731844i
\(581\) 1.03684e7 + 1.03684e7i 1.27430 + 1.27430i
\(582\) −3.19245e6 + 547242.i −0.390675 + 0.0669688i
\(583\) 4.79561e6i 0.584349i
\(584\) −6.82341e6 1.93328e6i −0.827884 0.234565i
\(585\) 2.01544e6i 0.243490i
\(586\) 1.30721e6 + 7.62585e6i 0.157254 + 0.917369i
\(587\) −2.60566e6 2.60566e6i −0.312120 0.312120i 0.533610 0.845731i \(-0.320835\pi\)
−0.845731 + 0.533610i \(0.820835\pi\)
\(588\) 1.70367e7 + 8.14290e6i 2.03209 + 0.971261i
\(589\) −3.30807e6 + 3.30807e6i −0.392904 + 0.392904i
\(590\) −1.75925e6 + 2.48716e6i −0.208064 + 0.294153i
\(591\) −1.43566e7 −1.69077
\(592\) −1.61912e7 1.72807e6i −1.89878 0.202655i
\(593\) 1.03991e7 1.21440 0.607198 0.794551i \(-0.292293\pi\)
0.607198 + 0.794551i \(0.292293\pi\)
\(594\) 190305. 269045.i 0.0221301 0.0312867i
\(595\) −2.90240e6 + 2.90240e6i −0.336097 + 0.336097i
\(596\) 612029. 1.28050e6i 0.0705759 0.147660i
\(597\) −8.00579e6 8.00579e6i −0.919324 0.919324i
\(598\) −214639. 1.25214e6i −0.0245446 0.143186i
\(599\) 1.71039e7i 1.94772i 0.227143 + 0.973861i \(0.427061\pi\)
−0.227143 + 0.973861i \(0.572939\pi\)
\(600\) −2.21607e6 + 1.23756e6i −0.251308 + 0.140342i
\(601\) 1.36618e7i 1.54284i −0.636325 0.771421i \(-0.719546\pi\)
0.636325 0.771421i \(-0.280454\pi\)
\(602\) 1.58753e7 2.72131e6i 1.78538 0.306046i
\(603\) −2.13995e6 2.13995e6i −0.239668 0.239668i
\(604\) −818371. + 289061.i −0.0912763 + 0.0322401i
\(605\) −2.44977e6 + 2.44977e6i −0.272106 + 0.272106i
\(606\) 2.04947e7 + 1.44965e7i 2.26704 + 1.60355i
\(607\) 1.13901e7 1.25475 0.627375 0.778717i \(-0.284129\pi\)
0.627375 + 0.778717i \(0.284129\pi\)
\(608\) −3.01607e6 + 3.42527e6i −0.330889 + 0.375782i
\(609\) −3.66131e7 −4.00031
\(610\) 4.86181e6 + 3.43891e6i 0.529021 + 0.374194i
\(611\) 2.24930e6 2.24930e6i 0.243750 0.243750i
\(612\) 6.21125e6 2.19390e6i 0.670348 0.236777i
\(613\) 4.60658e6 + 4.60658e6i 0.495139 + 0.495139i 0.909921 0.414782i \(-0.136142\pi\)
−0.414782 + 0.909921i \(0.636142\pi\)
\(614\) 1.65676e7 2.83999e6i 1.77353 0.304015i
\(615\) 8.63711e6i 0.920833i
\(616\) −2.74698e6 4.91899e6i −0.291679 0.522305i
\(617\) 4.57951e6i 0.484291i −0.970240 0.242145i \(-0.922149\pi\)
0.970240 0.242145i \(-0.0778511\pi\)
\(618\) 2.47032e6 + 1.44111e7i 0.260185 + 1.51784i
\(619\) −1.45301e6 1.45301e6i −0.152419 0.152419i 0.626778 0.779198i \(-0.284373\pi\)
−0.779198 + 0.626778i \(0.784373\pi\)
\(620\) 2.04849e6 4.28588e6i 0.214020 0.447776i
\(621\) 199280. 199280.i 0.0207365 0.0207365i
\(622\) −9.54339e6 + 1.34921e7i −0.989069 + 1.39831i
\(623\) 1.67078e7 1.72464
\(624\) 4.46839e6 + 5.53616e6i 0.459398 + 0.569177i
\(625\) −390625. −0.0400000
\(626\) −1.07556e6 + 1.52059e6i −0.109698 + 0.155087i
\(627\) 1.87361e6 1.87361e6i 0.190331 0.190331i
\(628\) −1.16477e7 5.56714e6i −1.17853 0.563291i
\(629\) 8.89141e6 + 8.89141e6i 0.896075 + 0.896075i
\(630\) −1.29145e6 7.53395e6i −0.129637 0.756260i
\(631\) 3.58456e6i 0.358396i −0.983813 0.179198i \(-0.942650\pi\)
0.983813 0.179198i \(-0.0573502\pi\)
\(632\) 2.96393e6 1.04610e7i 0.295172 1.04179i
\(633\) 1.76526e7i 1.75106i
\(634\) 1.30567e6 223816.i 0.129006 0.0221140i
\(635\) −2.36781e6 2.36781e6i −0.233030 0.233030i
\(636\) −7.64919e6 2.16559e7i −0.749847 2.12292i
\(637\) 5.75964e6 5.75964e6i 0.562402 0.562402i
\(638\) 5.44154e6 + 3.84898e6i 0.529261 + 0.374364i
\(639\) 6.04983e6 0.586126
\(640\) 1.72929e6 4.29935e6i 0.166886 0.414909i
\(641\) 1.01972e7 0.980245 0.490123 0.871654i \(-0.336952\pi\)
0.490123 + 0.871654i \(0.336952\pi\)
\(642\) −3.93451e6 2.78301e6i −0.376750 0.266488i
\(643\) −1.32210e7 + 1.32210e7i −1.26107 + 1.26107i −0.310490 + 0.950577i \(0.600493\pi\)
−0.950577 + 0.310490i \(0.899507\pi\)
\(644\) −1.60469e6 4.54309e6i −0.152467 0.431655i
\(645\) −5.43875e6 5.43875e6i −0.514754 0.514754i
\(646\) 3.47372e6 595457.i 0.327501 0.0561396i
\(647\) 6.81276e6i 0.639827i 0.947447 + 0.319914i \(0.103654\pi\)
−0.947447 + 0.319914i \(0.896346\pi\)
\(648\) 2.69130e6 9.49881e6i 0.251782 0.888652i
\(649\) 3.22917e6i 0.300939i
\(650\) 184987. + 1.07916e6i 0.0171735 + 0.100185i
\(651\) 1.95579e7 + 1.95579e7i 1.80871 + 1.80871i
\(652\) 1.51313e7 + 7.23218e6i 1.39398 + 0.666270i
\(653\) −8.83712e6 + 8.83712e6i −0.811013 + 0.811013i −0.984786 0.173773i \(-0.944404\pi\)
0.173773 + 0.984786i \(0.444404\pi\)
\(654\) −325661. + 460407.i −0.0297729 + 0.0420918i
\(655\) −3.87067e6 −0.352519
\(656\) −9.90408e6 1.22708e7i −0.898575 1.11330i
\(657\) −1.01990e7 −0.921811
\(658\) 6.96682e6 9.84943e6i 0.627292 0.886842i
\(659\) −147564. + 147564.i −0.0132363 + 0.0132363i −0.713694 0.700458i \(-0.752979\pi\)
0.700458 + 0.713694i \(0.252979\pi\)
\(660\) −1.16021e6 + 2.42742e6i −0.103676 + 0.216913i
\(661\) −7.72470e6 7.72470e6i −0.687667 0.687667i 0.274049 0.961716i \(-0.411637\pi\)
−0.961716 + 0.274049i \(0.911637\pi\)
\(662\) 2.61422e6 + 1.52506e7i 0.231845 + 1.35251i
\(663\) 5.49401e6i 0.485407i
\(664\) 6.23309e6 + 1.11615e7i 0.548635 + 0.982433i
\(665\) 4.08964e6i 0.358617i
\(666\) −2.30800e7 + 3.95633e6i −2.01628 + 0.345627i
\(667\) 4.03052e6 + 4.03052e6i 0.350789 + 0.350789i
\(668\) −335447. + 118485.i −0.0290859 + 0.0102736i
\(669\) −2.14483e6 + 2.14483e6i −0.185280 + 0.185280i
\(670\) 1.34224e6 + 949410.i 0.115516 + 0.0817085i
\(671\) 6.31226e6 0.541226
\(672\) 2.02508e7 + 1.78315e7i 1.72989 + 1.52323i
\(673\) 6.85944e6 0.583782 0.291891 0.956452i \(-0.405715\pi\)
0.291891 + 0.956452i \(0.405715\pi\)
\(674\) −1.07356e7 7.59366e6i −0.910286 0.643875i
\(675\) −171750. + 171750.i −0.0145090 + 0.0145090i
\(676\) −8.30933e6 + 2.93498e6i −0.699358 + 0.247023i
\(677\) −5.18225e6 5.18225e6i −0.434557 0.434557i 0.455618 0.890175i \(-0.349418\pi\)
−0.890175 + 0.455618i \(0.849418\pi\)
\(678\) −1.00999e7 + 1.73131e6i −0.843810 + 0.144644i
\(679\) 5.29906e6i 0.441087i
\(680\) −3.12441e6 + 1.74481e6i −0.259117 + 0.144703i
\(681\) 1.76225e7i 1.45613i
\(682\) −850709. 4.96278e6i −0.0700358 0.408568i
\(683\) −7.44176e6 7.44176e6i −0.610413 0.610413i 0.332641 0.943054i \(-0.392060\pi\)
−0.943054 + 0.332641i \(0.892060\pi\)
\(684\) −2.83033e6 + 5.92167e6i −0.231311 + 0.483954i
\(685\) 1.49490e6 1.49490e6i 0.121727 0.121727i
\(686\) 6.44010e6 9.10477e6i 0.522495 0.738684i
\(687\) −6.74605e6 −0.545328
\(688\) 1.39634e7 + 1.49030e6i 1.12466 + 0.120033i
\(689\) −9.90724e6 −0.795069
\(690\) −1.32867e6 + 1.87842e6i −0.106242 + 0.150200i
\(691\) −1.57551e7 + 1.57551e7i −1.25524 + 1.25524i −0.301900 + 0.953340i \(0.597621\pi\)
−0.953340 + 0.301900i \(0.902379\pi\)
\(692\) −1.69510e7 8.10191e6i −1.34564 0.643165i
\(693\) −5.72917e6 5.72917e6i −0.453167 0.453167i
\(694\) −664824. 3.87838e6i −0.0523972 0.305669i
\(695\) 1.76452e6i 0.138569i
\(696\) −3.07121e7 8.70167e6i −2.40318 0.680894i
\(697\) 1.21773e7i 0.949447i
\(698\) −1.77177e7 + 3.03714e6i −1.37648 + 0.235953i
\(699\) 88529.5 + 88529.5i 0.00685323 + 0.00685323i
\(700\) 1.38300e6 + 3.91548e6i 0.106679 + 0.302023i
\(701\) 719226. 719226.i 0.0552803 0.0552803i −0.678926 0.734206i \(-0.737554\pi\)
0.734206 + 0.678926i \(0.237554\pi\)
\(702\) 555820. + 393150.i 0.0425688 + 0.0301103i
\(703\) −1.25285e7 −0.956117
\(704\) −1.13517e6 4.77905e6i −0.0863238 0.363421i
\(705\) −5.76111e6 −0.436550
\(706\) 3.39682e6 + 2.40268e6i 0.256484 + 0.181419i
\(707\) 2.90405e7 2.90405e7i 2.18502 2.18502i
\(708\) −5.15066e6 1.45822e7i −0.386171 1.09330i
\(709\) 8.53872e6 + 8.53872e6i 0.637936 + 0.637936i 0.950046 0.312110i \(-0.101036\pi\)
−0.312110 + 0.950046i \(0.601036\pi\)
\(710\) −3.23935e6 + 555283.i −0.241164 + 0.0413398i
\(711\) 1.56361e7i 1.15999i
\(712\) 1.40150e7 + 3.97086e6i 1.03608 + 0.293552i
\(713\) 4.30602e6i 0.317214i
\(714\) −3.52044e6 2.05372e7i −0.258435 1.50763i
\(715\) 820643. + 820643.i 0.0600329 + 0.0600329i
\(716\) 1.96847e7 + 9.40855e6i 1.43498 + 0.685867i
\(717\) −1.51772e7 + 1.51772e7i −1.10254 + 1.10254i
\(718\) 2.53976e6 3.59062e6i 0.183858 0.259931i
\(719\) 8.24173e6 0.594560 0.297280 0.954790i \(-0.403920\pi\)
0.297280 + 0.954790i \(0.403920\pi\)
\(720\) 707252. 6.62662e6i 0.0508444 0.476388i
\(721\) 2.39206e7 1.71370
\(722\) 6.06081e6 8.56855e6i 0.432701 0.611736i
\(723\) 6.03709e6 6.03709e6i 0.429519 0.429519i
\(724\) 1.03572e7 2.16694e7i 0.734335 1.53639i
\(725\) −3.47371e6 3.47371e6i −0.245442 0.245442i
\(726\) −2.97144e6 1.73345e7i −0.209231 1.22059i
\(727\) 1.76538e6i 0.123880i −0.998080 0.0619401i \(-0.980271\pi\)
0.998080 0.0619401i \(-0.0197288\pi\)
\(728\) 1.01621e7 5.67499e6i 0.710651 0.396859i
\(729\) 1.63165e7i 1.13713i
\(730\) 5.46097e6 936109.i 0.379283 0.0650158i
\(731\) −7.66802e6 7.66802e6i −0.530750 0.530750i
\(732\) −2.85048e7 + 1.00683e7i −1.96626 + 0.694510i
\(733\) 1.08345e6 1.08345e6i 0.0744816 0.0744816i −0.668885 0.743366i \(-0.733228\pi\)
0.743366 + 0.668885i \(0.233228\pi\)
\(734\) −7.16002e6 5.06451e6i −0.490539 0.346975i
\(735\) −1.47521e7 −1.00725
\(736\) −266320. 4.19225e6i −0.0181221 0.285268i
\(737\) 1.74268e6 0.118181
\(738\) −1.85140e7 1.30956e7i −1.25129 0.885081i
\(739\) 6.95031e6 6.95031e6i 0.468159 0.468159i −0.433159 0.901318i \(-0.642601\pi\)
0.901318 + 0.433159i \(0.142601\pi\)
\(740\) 1.19950e7 4.23679e6i 0.805229 0.284419i
\(741\) 3.87069e6 + 3.87069e6i 0.258966 + 0.258966i
\(742\) −3.70343e7 + 6.34835e6i −2.46942 + 0.423303i
\(743\) 279867.i 0.0185986i 0.999957 + 0.00929929i \(0.00296010\pi\)
−0.999957 + 0.00929929i \(0.997040\pi\)
\(744\) 1.17575e7 + 2.10539e7i 0.778719 + 1.39444i
\(745\) 1.10878e6i 0.0731908i
\(746\) 4.28379e6 + 2.49903e7i 0.281826 + 1.64409i
\(747\) 1.29999e7 + 1.29999e7i 0.852388 + 0.852388i
\(748\) −1.63577e6 + 3.42239e6i −0.106898 + 0.223653i
\(749\) −5.57512e6 + 5.57512e6i −0.363120 + 0.363120i
\(750\) 1.14512e6 1.61892e6i 0.0743356 0.105093i
\(751\) −1.44307e7 −0.933659 −0.466829 0.884347i \(-0.654604\pi\)
−0.466829 + 0.884347i \(0.654604\pi\)
\(752\) 8.18484e6 6.60620e6i 0.527795 0.425998i
\(753\) −1.65205e7 −1.06178
\(754\) −7.95160e6 + 1.12417e7i −0.509362 + 0.720116i
\(755\) 479463. 479463.i 0.0306117 0.0306117i
\(756\) 2.32964e6 + 1.11348e6i 0.148246 + 0.0708561i
\(757\) 7.09593e6 + 7.09593e6i 0.450059 + 0.450059i 0.895374 0.445315i \(-0.146908\pi\)
−0.445315 + 0.895374i \(0.646908\pi\)
\(758\) 1.45627e6 + 8.49543e6i 0.0920595 + 0.537047i
\(759\) 2.43882e6i 0.153665i
\(760\) 971967. 3.43051e6i 0.0610404 0.215439i
\(761\) 8.79439e6i 0.550483i 0.961375 + 0.275242i \(0.0887578\pi\)
−0.961375 + 0.275242i \(0.911242\pi\)
\(762\) 1.67545e7 2.87202e6i 1.04531 0.179184i
\(763\)