Properties

Label 80.6.q.a.29.16
Level 80
Weight 6
Character 80.29
Analytic conductor 12.831
Analytic rank 0
Dimension 116
CM no
Inner twists 4

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(12.8307055850\)
Analytic rank: \(0\)
Dimension: \(116\)
Relative dimension: \(58\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 29.16
Character \(\chi\) \(=\) 80.29
Dual form 80.6.q.a.69.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.76715 + 4.22003i) q^{2} +(-3.83997 + 3.83997i) q^{3} +(-3.61723 - 31.7949i) q^{4} +(-6.34052 + 55.5410i) q^{5} +(-1.73905 - 30.6705i) q^{6} +92.8374 q^{7} +(147.802 + 104.511i) q^{8} +213.509i q^{9} +O(q^{10})\) \(q+(-3.76715 + 4.22003i) q^{2} +(-3.83997 + 3.83997i) q^{3} +(-3.61723 - 31.7949i) q^{4} +(-6.34052 + 55.5410i) q^{5} +(-1.73905 - 30.6705i) q^{6} +92.8374 q^{7} +(147.802 + 104.511i) q^{8} +213.509i q^{9} +(-210.499 - 235.988i) q^{10} +(-131.430 + 131.430i) q^{11} +(135.982 + 108.201i) q^{12} +(-50.1510 + 50.1510i) q^{13} +(-349.732 + 391.776i) q^{14} +(-188.928 - 237.623i) q^{15} +(-997.831 + 230.019i) q^{16} +515.471i q^{17} +(-901.014 - 804.320i) q^{18} +(-868.565 - 868.565i) q^{19} +(1788.85 + 0.691721i) q^{20} +(-356.493 + 356.493i) q^{21} +(-59.5219 - 1049.75i) q^{22} +1103.01 q^{23} +(-968.875 + 166.235i) q^{24} +(-3044.60 - 704.318i) q^{25} +(-22.7124 - 400.565i) q^{26} +(-1752.98 - 1752.98i) q^{27} +(-335.814 - 2951.75i) q^{28} +(-5323.15 - 5323.15i) q^{29} +(1714.50 + 97.8787i) q^{30} -4189.34 q^{31} +(2788.29 - 5077.39i) q^{32} -1009.37i q^{33} +(-2175.30 - 1941.85i) q^{34} +(-588.638 + 5156.28i) q^{35} +(6788.50 - 772.313i) q^{36} +(-3991.71 - 3991.71i) q^{37} +(6937.38 - 393.356i) q^{38} -385.157i q^{39} +(-6741.79 + 7546.41i) q^{40} +10687.3i q^{41} +(-161.449 - 2847.37i) q^{42} +(5075.33 + 5075.33i) q^{43} +(4654.20 + 3703.38i) q^{44} +(-11858.5 - 1353.76i) q^{45} +(-4155.21 + 4654.74i) q^{46} +27338.8i q^{47} +(2948.38 - 4714.91i) q^{48} -8188.23 q^{49} +(14441.7 - 10195.0i) q^{50} +(-1979.39 - 1979.39i) q^{51} +(1775.95 + 1413.14i) q^{52} +(5610.38 + 5610.38i) q^{53} +(14001.4 - 793.892i) q^{54} +(-6466.39 - 8133.06i) q^{55} +(13721.5 + 9702.54i) q^{56} +6670.53 q^{57} +(42516.9 - 2410.75i) q^{58} +(22719.5 - 22719.5i) q^{59} +(-6871.81 + 6866.49i) q^{60} +(-8865.20 - 8865.20i) q^{61} +(15781.9 - 17679.1i) q^{62} +19821.6i q^{63} +(10922.8 + 30893.9i) q^{64} +(-2467.45 - 3103.42i) q^{65} +(4259.57 + 3802.45i) q^{66} +(-28356.6 + 28356.6i) q^{67} +(16389.3 - 1864.58i) q^{68} +(-4235.54 + 4235.54i) q^{69} +(-19542.1 - 21908.5i) q^{70} +7623.53i q^{71} +(-22314.1 + 31557.1i) q^{72} -21647.5 q^{73} +(31882.4 - 1807.77i) q^{74} +(14395.7 - 8986.60i) q^{75} +(-24474.1 + 30757.7i) q^{76} +(-12201.6 + 12201.6i) q^{77} +(1625.37 + 1450.94i) q^{78} +67013.3 q^{79} +(-6448.71 - 56878.9i) q^{80} -38419.9 q^{81} +(-45100.8 - 40260.7i) q^{82} +(21270.1 - 21270.1i) q^{83} +(12624.2 + 10045.1i) q^{84} +(-28629.8 - 3268.36i) q^{85} +(-40537.6 + 2298.52i) q^{86} +40881.5 q^{87} +(-33161.4 + 5689.69i) q^{88} +7767.43i q^{89} +(50385.6 - 44943.4i) q^{90} +(-4655.89 + 4655.89i) q^{91} +(-3989.86 - 35070.2i) q^{92} +(16087.0 - 16087.0i) q^{93} +(-115371. - 102989. i) q^{94} +(53748.1 - 42733.8i) q^{95} +(8790.08 + 30204.0i) q^{96} -106751. i q^{97} +(30846.2 - 34554.5i) q^{98} +(-28061.4 - 28061.4i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 116q - 4q^{4} - 2q^{5} - 4q^{6} + O(q^{10}) \) \( 116q - 4q^{4} - 2q^{5} - 4q^{6} + 532q^{10} - 4q^{11} + 1108q^{14} - 4q^{15} + 1216q^{16} + 2356q^{19} + 824q^{20} - 976q^{21} - 2864q^{24} - 12104q^{26} - 4q^{29} + 736q^{30} + 23056q^{31} - 38304q^{34} - 3864q^{35} - 20588q^{36} + 15144q^{40} - 25536q^{44} + 6734q^{45} - 36052q^{46} + 220884q^{49} + 56116q^{50} - 9472q^{51} - 104360q^{54} - 2552q^{56} + 14476q^{59} + 1008q^{60} - 48084q^{61} + 72944q^{64} - 27692q^{65} - 56736q^{66} - 23296q^{69} + 135260q^{70} - 186128q^{74} - 33244q^{75} - 35824q^{76} + 427312q^{79} - 129128q^{80} - 551132q^{81} - 418448q^{84} + 6248q^{85} + 177516q^{86} + 449576q^{90} - 231952q^{91} + 607356q^{94} + 38420q^{95} - 440264q^{96} + 406924q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(17\) \(21\) \(31\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{4}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.76715 + 4.22003i −0.665943 + 0.746002i
\(3\) −3.83997 + 3.83997i −0.246334 + 0.246334i −0.819464 0.573130i \(-0.805729\pi\)
0.573130 + 0.819464i \(0.305729\pi\)
\(4\) −3.61723 31.7949i −0.113039 0.993591i
\(5\) −6.34052 + 55.5410i −0.113423 + 0.993547i
\(6\) −1.73905 30.6705i −0.0197212 0.347811i
\(7\) 92.8374 0.716107 0.358053 0.933701i \(-0.383441\pi\)
0.358053 + 0.933701i \(0.383441\pi\)
\(8\) 147.802 + 104.511i 0.816498 + 0.577348i
\(9\) 213.509i 0.878639i
\(10\) −210.499 235.988i −0.665655 0.746260i
\(11\) −131.430 + 131.430i −0.327500 + 0.327500i −0.851635 0.524135i \(-0.824389\pi\)
0.524135 + 0.851635i \(0.324389\pi\)
\(12\) 135.982 + 108.201i 0.272601 + 0.216910i
\(13\) −50.1510 + 50.1510i −0.0823041 + 0.0823041i −0.747060 0.664756i \(-0.768535\pi\)
0.664756 + 0.747060i \(0.268535\pi\)
\(14\) −349.732 + 391.776i −0.476887 + 0.534217i
\(15\) −188.928 237.623i −0.216805 0.272685i
\(16\) −997.831 + 230.019i −0.974445 + 0.224628i
\(17\) 515.471i 0.432595i 0.976327 + 0.216298i \(0.0693982\pi\)
−0.976327 + 0.216298i \(0.930602\pi\)
\(18\) −901.014 804.320i −0.655466 0.585124i
\(19\) −868.565 868.565i −0.551974 0.551974i 0.375036 0.927010i \(-0.377630\pi\)
−0.927010 + 0.375036i \(0.877630\pi\)
\(20\) 1788.85 + 0.691721i 1.00000 + 0.000386684i
\(21\) −356.493 + 356.493i −0.176402 + 0.176402i
\(22\) −59.5219 1049.75i −0.0262192 0.462412i
\(23\) 1103.01 0.434772 0.217386 0.976086i \(-0.430247\pi\)
0.217386 + 0.976086i \(0.430247\pi\)
\(24\) −968.875 + 166.235i −0.343352 + 0.0589108i
\(25\) −3044.60 704.318i −0.974271 0.225382i
\(26\) −22.7124 400.565i −0.00658916 0.116209i
\(27\) −1752.98 1752.98i −0.462773 0.462773i
\(28\) −335.814 2951.75i −0.0809477 0.711517i
\(29\) −5323.15 5323.15i −1.17537 1.17537i −0.980911 0.194456i \(-0.937706\pi\)
−0.194456 0.980911i \(-0.562294\pi\)
\(30\) 1714.50 + 97.8787i 0.347803 + 0.0198557i
\(31\) −4189.34 −0.782964 −0.391482 0.920186i \(-0.628037\pi\)
−0.391482 + 0.920186i \(0.628037\pi\)
\(32\) 2788.29 5077.39i 0.481352 0.876527i
\(33\) 1009.37i 0.161349i
\(34\) −2175.30 1941.85i −0.322717 0.288084i
\(35\) −588.638 + 5156.28i −0.0812228 + 0.711485i
\(36\) 6788.50 772.313i 0.873007 0.0993201i
\(37\) −3991.71 3991.71i −0.479352 0.479352i 0.425573 0.904924i \(-0.360073\pi\)
−0.904924 + 0.425573i \(0.860073\pi\)
\(38\) 6937.38 393.356i 0.779357 0.0441903i
\(39\) 385.157i 0.0405486i
\(40\) −6741.79 + 7546.41i −0.666232 + 0.745745i
\(41\) 10687.3i 0.992909i 0.868063 + 0.496454i \(0.165365\pi\)
−0.868063 + 0.496454i \(0.834635\pi\)
\(42\) −161.449 2847.37i −0.0141225 0.249069i
\(43\) 5075.33 + 5075.33i 0.418595 + 0.418595i 0.884719 0.466125i \(-0.154350\pi\)
−0.466125 + 0.884719i \(0.654350\pi\)
\(44\) 4654.20 + 3703.38i 0.362421 + 0.288381i
\(45\) −11858.5 1353.76i −0.872969 0.0996576i
\(46\) −4155.21 + 4654.74i −0.289533 + 0.324341i
\(47\) 27338.8i 1.80524i 0.430437 + 0.902621i \(0.358359\pi\)
−0.430437 + 0.902621i \(0.641641\pi\)
\(48\) 2948.38 4714.91i 0.184706 0.295373i
\(49\) −8188.23 −0.487191
\(50\) 14441.7 10195.0i 0.816944 0.576717i
\(51\) −1979.39 1979.39i −0.106563 0.106563i
\(52\) 1775.95 + 1413.14i 0.0910801 + 0.0724730i
\(53\) 5610.38 + 5610.38i 0.274349 + 0.274349i 0.830848 0.556499i \(-0.187856\pi\)
−0.556499 + 0.830848i \(0.687856\pi\)
\(54\) 14001.4 793.892i 0.653411 0.0370490i
\(55\) −6466.39 8133.06i −0.288241 0.362533i
\(56\) 13721.5 + 9702.54i 0.584700 + 0.413443i
\(57\) 6670.53 0.271940
\(58\) 42516.9 2410.75i 1.65955 0.0940984i
\(59\) 22719.5 22719.5i 0.849707 0.849707i −0.140389 0.990096i \(-0.544835\pi\)
0.990096 + 0.140389i \(0.0448353\pi\)
\(60\) −6871.81 + 6866.49i −0.246430 + 0.246239i
\(61\) −8865.20 8865.20i −0.305045 0.305045i 0.537939 0.842984i \(-0.319203\pi\)
−0.842984 + 0.537939i \(0.819203\pi\)
\(62\) 15781.9 17679.1i 0.521410 0.584093i
\(63\) 19821.6i 0.629199i
\(64\) 10922.8 + 30893.9i 0.333338 + 0.942807i
\(65\) −2467.45 3103.42i −0.0724378 0.0911081i
\(66\) 4259.57 + 3802.45i 0.120367 + 0.107449i
\(67\) −28356.6 + 28356.6i −0.771732 + 0.771732i −0.978409 0.206677i \(-0.933735\pi\)
0.206677 + 0.978409i \(0.433735\pi\)
\(68\) 16389.3 1864.58i 0.429823 0.0489000i
\(69\) −4235.54 + 4235.54i −0.107099 + 0.107099i
\(70\) −19542.1 21908.5i −0.476680 0.534401i
\(71\) 7623.53i 0.179478i 0.995965 + 0.0897388i \(0.0286032\pi\)
−0.995965 + 0.0897388i \(0.971397\pi\)
\(72\) −22314.1 + 31557.1i −0.507281 + 0.717407i
\(73\) −21647.5 −0.475445 −0.237723 0.971333i \(-0.576401\pi\)
−0.237723 + 0.971333i \(0.576401\pi\)
\(74\) 31882.4 1807.77i 0.676819 0.0383763i
\(75\) 14395.7 8986.60i 0.295515 0.184477i
\(76\) −24474.1 + 30757.7i −0.486041 + 0.610830i
\(77\) −12201.6 + 12201.6i −0.234525 + 0.234525i
\(78\) 1625.37 + 1450.94i 0.0302494 + 0.0270031i
\(79\) 67013.3 1.20807 0.604037 0.796957i \(-0.293558\pi\)
0.604037 + 0.796957i \(0.293558\pi\)
\(80\) −6448.71 56878.9i −0.112654 0.993634i
\(81\) −38419.9 −0.650645
\(82\) −45100.8 40260.7i −0.740712 0.661221i
\(83\) 21270.1 21270.1i 0.338901 0.338901i −0.517052 0.855954i \(-0.672971\pi\)
0.855954 + 0.517052i \(0.172971\pi\)
\(84\) 12624.2 + 10045.1i 0.195211 + 0.155331i
\(85\) −28629.8 3268.36i −0.429804 0.0490662i
\(86\) −40537.6 + 2298.52i −0.591033 + 0.0335121i
\(87\) 40881.5 0.579067
\(88\) −33161.4 + 5689.69i −0.456485 + 0.0783216i
\(89\) 7767.43i 0.103945i 0.998649 + 0.0519723i \(0.0165508\pi\)
−0.998649 + 0.0519723i \(0.983449\pi\)
\(90\) 50385.6 44943.4i 0.655693 0.584870i
\(91\) −4655.89 + 4655.89i −0.0589385 + 0.0589385i
\(92\) −3989.86 35070.2i −0.0491460 0.431985i
\(93\) 16087.0 16087.0i 0.192871 0.192871i
\(94\) −115371. 102989.i −1.34671 1.20219i
\(95\) 53748.1 42733.8i 0.611018 0.485805i
\(96\) 8790.08 + 30204.0i 0.0973453 + 0.334492i
\(97\) 106751.i 1.15198i −0.817458 0.575988i \(-0.804617\pi\)
0.817458 0.575988i \(-0.195383\pi\)
\(98\) 30846.2 34554.5i 0.324442 0.363446i
\(99\) −28061.4 28061.4i −0.287754 0.287754i
\(100\) −11380.7 + 99350.3i −0.113807 + 0.993503i
\(101\) −125573. + 125573.i −1.22488 + 1.22488i −0.259004 + 0.965876i \(0.583394\pi\)
−0.965876 + 0.259004i \(0.916606\pi\)
\(102\) 15809.8 896.429i 0.150461 0.00853130i
\(103\) 98399.8 0.913906 0.456953 0.889491i \(-0.348941\pi\)
0.456953 + 0.889491i \(0.348941\pi\)
\(104\) −12653.8 + 2171.08i −0.114719 + 0.0196830i
\(105\) −17539.6 22060.3i −0.155255 0.195271i
\(106\) −44811.1 + 2540.83i −0.387366 + 0.0219640i
\(107\) −18017.1 18017.1i −0.152134 0.152134i 0.626936 0.779070i \(-0.284309\pi\)
−0.779070 + 0.626936i \(0.784309\pi\)
\(108\) −49395.0 + 62076.9i −0.407496 + 0.512118i
\(109\) −18198.7 18198.7i −0.146715 0.146715i 0.629934 0.776649i \(-0.283082\pi\)
−0.776649 + 0.629934i \(0.783082\pi\)
\(110\) 58681.5 + 3350.07i 0.462402 + 0.0263980i
\(111\) 30656.1 0.236162
\(112\) −92636.0 + 21354.4i −0.697806 + 0.160858i
\(113\) 174750.i 1.28743i −0.765267 0.643713i \(-0.777393\pi\)
0.765267 0.643713i \(-0.222607\pi\)
\(114\) −25128.9 + 28149.8i −0.181097 + 0.202868i
\(115\) −6993.68 + 61262.4i −0.0493130 + 0.431966i
\(116\) −149994. + 188504.i −1.03497 + 1.30070i
\(117\) −10707.7 10707.7i −0.0723156 0.0723156i
\(118\) 10289.2 + 181465.i 0.0680265 + 1.19974i
\(119\) 47855.0i 0.309784i
\(120\) −3089.69 54866.3i −0.0195867 0.347818i
\(121\) 126504.i 0.785487i
\(122\) 70807.9 4014.88i 0.430707 0.0244215i
\(123\) −41039.0 41039.0i −0.244587 0.244587i
\(124\) 15153.8 + 133200.i 0.0885051 + 0.777946i
\(125\) 58422.8 164634.i 0.334432 0.942420i
\(126\) −83647.8 74671.0i −0.469384 0.419011i
\(127\) 264706.i 1.45631i 0.685412 + 0.728156i \(0.259622\pi\)
−0.685412 + 0.728156i \(0.740378\pi\)
\(128\) −171521. 70287.2i −0.925321 0.379185i
\(129\) −38978.3 −0.206228
\(130\) 22391.8 + 1278.32i 0.116206 + 0.00663410i
\(131\) 138284. + 138284.i 0.704034 + 0.704034i 0.965274 0.261240i \(-0.0841315\pi\)
−0.261240 + 0.965274i \(0.584131\pi\)
\(132\) −32092.9 + 3651.13i −0.160315 + 0.0182387i
\(133\) −80635.3 80635.3i −0.395272 0.395272i
\(134\) −12842.1 226489.i −0.0617839 1.08964i
\(135\) 108477. 86247.5i 0.512276 0.407298i
\(136\) −53872.5 + 76187.6i −0.249758 + 0.353213i
\(137\) 330552. 1.50466 0.752330 0.658786i \(-0.228930\pi\)
0.752330 + 0.658786i \(0.228930\pi\)
\(138\) −1918.19 33830.0i −0.00857422 0.151218i
\(139\) 259698. 259698.i 1.14007 1.14007i 0.151632 0.988437i \(-0.451547\pi\)
0.988437 0.151632i \(-0.0484527\pi\)
\(140\) 166072. + 64.2176i 0.716107 + 0.000276907i
\(141\) −104980. 104980.i −0.444693 0.444693i
\(142\) −32171.5 28718.9i −0.133891 0.119522i
\(143\) 13182.7i 0.0539092i
\(144\) −49111.2 213046.i −0.197367 0.856185i
\(145\) 329404. 261901.i 1.30110 1.03447i
\(146\) 81549.3 91353.0i 0.316620 0.354683i
\(147\) 31442.6 31442.6i 0.120012 0.120012i
\(148\) −112477. + 141355.i −0.422094 + 0.530465i
\(149\) 81091.6 81091.6i 0.299234 0.299234i −0.541480 0.840714i \(-0.682136\pi\)
0.840714 + 0.541480i \(0.182136\pi\)
\(150\) −16307.1 + 94604.1i −0.0591763 + 0.343306i
\(151\) 457110.i 1.63147i 0.578428 + 0.815733i \(0.303666\pi\)
−0.578428 + 0.815733i \(0.696334\pi\)
\(152\) −37600.8 219150.i −0.132004 0.769366i
\(153\) −110058. −0.380095
\(154\) −5525.85 97456.1i −0.0187758 0.331137i
\(155\) 26562.6 232680.i 0.0888059 0.777911i
\(156\) −12246.0 + 1393.20i −0.0402888 + 0.00458356i
\(157\) −388019. + 388019.i −1.25633 + 1.25633i −0.303499 + 0.952832i \(0.598155\pi\)
−0.952832 + 0.303499i \(0.901845\pi\)
\(158\) −252449. + 282798.i −0.804508 + 0.901225i
\(159\) −43087.4 −0.135163
\(160\) 264324. + 187058.i 0.816275 + 0.577664i
\(161\) 102401. 0.311343
\(162\) 144733. 162133.i 0.433293 0.485383i
\(163\) −135515. + 135515.i −0.399503 + 0.399503i −0.878058 0.478555i \(-0.841161\pi\)
0.478555 + 0.878058i \(0.341161\pi\)
\(164\) 339802. 38658.6i 0.986545 0.112237i
\(165\) 56061.5 + 6399.95i 0.160308 + 0.0183006i
\(166\) 9632.79 + 169888.i 0.0271320 + 0.478510i
\(167\) 432046. 1.19878 0.599390 0.800458i \(-0.295410\pi\)
0.599390 + 0.800458i \(0.295410\pi\)
\(168\) −89947.8 + 15432.8i −0.245877 + 0.0421864i
\(169\) 366263.i 0.986452i
\(170\) 121645. 108506.i 0.322829 0.287959i
\(171\) 185447. 185447.i 0.484985 0.484985i
\(172\) 143011. 179728.i 0.368594 0.463229i
\(173\) −375954. + 375954.i −0.955035 + 0.955035i −0.999032 0.0439968i \(-0.985991\pi\)
0.0439968 + 0.999032i \(0.485991\pi\)
\(174\) −154006. + 172521.i −0.385626 + 0.431985i
\(175\) −282652. 65387.0i −0.697682 0.161397i
\(176\) 100913. 161376.i 0.245565 0.392696i
\(177\) 174485.i 0.418624i
\(178\) −32778.7 29261.0i −0.0775429 0.0692213i
\(179\) −167841. 167841.i −0.391530 0.391530i 0.483703 0.875232i \(-0.339292\pi\)
−0.875232 + 0.483703i \(0.839292\pi\)
\(180\) −147.689 + 381937.i −0.000339756 + 0.878639i
\(181\) −25387.8 + 25387.8i −0.0576008 + 0.0576008i −0.735320 0.677720i \(-0.762968\pi\)
0.677720 + 0.735320i \(0.262968\pi\)
\(182\) −2108.56 37187.4i −0.00471854 0.0832180i
\(183\) 68084.2 0.150286
\(184\) 163028. + 115277.i 0.354990 + 0.251015i
\(185\) 247013. 196394.i 0.530628 0.421889i
\(186\) 7285.47 + 128489.i 0.0154410 + 0.272323i
\(187\) −67748.1 67748.1i −0.141675 0.141675i
\(188\) 869235. 98890.9i 1.79367 0.204062i
\(189\) −162742. 162742.i −0.331395 0.331395i
\(190\) −22139.2 + 387803.i −0.0444917 + 0.779340i
\(191\) −759475. −1.50636 −0.753182 0.657812i \(-0.771482\pi\)
−0.753182 + 0.657812i \(0.771482\pi\)
\(192\) −160575. 76688.4i −0.314358 0.150133i
\(193\) 185285.i 0.358052i −0.983844 0.179026i \(-0.942705\pi\)
0.983844 0.179026i \(-0.0572947\pi\)
\(194\) 450493. + 402148.i 0.859377 + 0.767152i
\(195\) 21392.0 + 2442.10i 0.0402870 + 0.00459914i
\(196\) 29618.7 + 260344.i 0.0550714 + 0.484069i
\(197\) 722942. + 722942.i 1.32720 + 1.32720i 0.907799 + 0.419406i \(0.137761\pi\)
0.419406 + 0.907799i \(0.362239\pi\)
\(198\) 224131. 12708.5i 0.406293 0.0230372i
\(199\) 367846.i 0.658466i 0.944249 + 0.329233i \(0.106790\pi\)
−0.944249 + 0.329233i \(0.893210\pi\)
\(200\) −376388. 422294.i −0.665366 0.746517i
\(201\) 217777.i 0.380208i
\(202\) −56869.7 1.00297e6i −0.0980623 1.72946i
\(203\) −494187. 494187.i −0.841688 0.841688i
\(204\) −55774.7 + 70094.6i −0.0938343 + 0.117926i
\(205\) −593584. 67763.2i −0.986501 0.112618i
\(206\) −370686. + 415250.i −0.608609 + 0.681776i
\(207\) 235504.i 0.382007i
\(208\) 38506.6 61578.0i 0.0617130 0.0986886i
\(209\) 228310. 0.361543
\(210\) 159169. + 9086.80i 0.249064 + 0.0142188i
\(211\) −666154. 666154.i −1.03007 1.03007i −0.999534 0.0305413i \(-0.990277\pi\)
−0.0305413 0.999534i \(-0.509723\pi\)
\(212\) 158088. 198676.i 0.241578 0.303602i
\(213\) −29274.1 29274.1i −0.0442115 0.0442115i
\(214\) 143906. 8159.61i 0.214805 0.0121796i
\(215\) −314069. + 249709.i −0.463371 + 0.368415i
\(216\) −75887.9 442300.i −0.110672 0.645035i
\(217\) −388928. −0.560686
\(218\) 145356. 8241.83i 0.207153 0.0117458i
\(219\) 83125.8 83125.8i 0.117119 0.117119i
\(220\) −235199. + 235017.i −0.327627 + 0.327373i
\(221\) −25851.4 25851.4i −0.0356044 0.0356044i
\(222\) −115486. + 129369.i −0.157270 + 0.176177i
\(223\) 93177.2i 0.125472i −0.998030 0.0627361i \(-0.980017\pi\)
0.998030 0.0627361i \(-0.0199826\pi\)
\(224\) 258857. 471371.i 0.344699 0.627687i
\(225\) 150378. 650049.i 0.198029 0.856032i
\(226\) 737451. + 658310.i 0.960422 + 0.857352i
\(227\) −887343. + 887343.i −1.14295 + 1.14295i −0.155041 + 0.987908i \(0.549551\pi\)
−0.987908 + 0.155041i \(0.950449\pi\)
\(228\) −24128.9 212089.i −0.0307397 0.270197i
\(229\) −671512. + 671512.i −0.846184 + 0.846184i −0.989655 0.143470i \(-0.954174\pi\)
0.143470 + 0.989655i \(0.454174\pi\)
\(230\) −232183. 260298.i −0.289408 0.324453i
\(231\) 93707.4i 0.115543i
\(232\) −230443. 1.34310e6i −0.281089 1.63828i
\(233\) 874359. 1.05512 0.527558 0.849519i \(-0.323108\pi\)
0.527558 + 0.849519i \(0.323108\pi\)
\(234\) 85524.3 4849.31i 0.102106 0.00578949i
\(235\) −1.51842e6 173342.i −1.79359 0.204755i
\(236\) −804547. 640183.i −0.940311 0.748212i
\(237\) −257329. + 257329.i −0.297590 + 0.297590i
\(238\) −201949. 180277.i −0.231100 0.206299i
\(239\) −466562. −0.528342 −0.264171 0.964476i \(-0.585098\pi\)
−0.264171 + 0.964476i \(0.585098\pi\)
\(240\) 243176. + 193651.i 0.272517 + 0.217016i
\(241\) 962562. 1.06754 0.533772 0.845628i \(-0.320774\pi\)
0.533772 + 0.845628i \(0.320774\pi\)
\(242\) −533848. 476557.i −0.585975 0.523090i
\(243\) 573506. 573506.i 0.623049 0.623049i
\(244\) −249801. + 313936.i −0.268608 + 0.337572i
\(245\) 51917.6 454782.i 0.0552586 0.484047i
\(246\) 327786. 18585.8i 0.345344 0.0195814i
\(247\) 87118.8 0.0908594
\(248\) −619193. 437833.i −0.639289 0.452043i
\(249\) 163353.i 0.166966i
\(250\) 474673. + 866746.i 0.480335 + 0.877085i
\(251\) −177548. + 177548.i −0.177882 + 0.177882i −0.790432 0.612550i \(-0.790144\pi\)
0.612550 + 0.790432i \(0.290144\pi\)
\(252\) 630227. 71699.5i 0.625166 0.0711238i
\(253\) −144969. + 144969.i −0.142388 + 0.142388i
\(254\) −1.11707e6 997185.i −1.08641 0.969821i
\(255\) 122488. 97387.0i 0.117962 0.0937887i
\(256\) 942758. 459041.i 0.899084 0.437775i
\(257\) 1.11894e6i 1.05676i 0.849009 + 0.528378i \(0.177200\pi\)
−0.849009 + 0.528378i \(0.822800\pi\)
\(258\) 146837. 164489.i 0.137336 0.153847i
\(259\) −370579. 370579.i −0.343267 0.343267i
\(260\) −89747.6 + 89678.2i −0.0823359 + 0.0822723i
\(261\) 1.13654e6 1.13654e6i 1.03272 1.03272i
\(262\) −1.10450e6 + 62626.1i −0.994057 + 0.0563640i
\(263\) 1.08549e6 0.967687 0.483844 0.875154i \(-0.339240\pi\)
0.483844 + 0.875154i \(0.339240\pi\)
\(264\) 105491. 149187.i 0.0931546 0.131741i
\(265\) −347179. + 276033.i −0.303696 + 0.241461i
\(266\) 644048. 36518.1i 0.558102 0.0316450i
\(267\) −29826.7 29826.7i −0.0256051 0.0256051i
\(268\) 1.00417e6 + 799022.i 0.854021 + 0.679550i
\(269\) −110675. 110675.i −0.0932542 0.0932542i 0.658941 0.752195i \(-0.271005\pi\)
−0.752195 + 0.658941i \(0.771005\pi\)
\(270\) −44682.5 + 782683.i −0.0373017 + 0.653396i
\(271\) 319801. 0.264519 0.132260 0.991215i \(-0.457777\pi\)
0.132260 + 0.991215i \(0.457777\pi\)
\(272\) −118568. 514353.i −0.0971731 0.421540i
\(273\) 35757.0i 0.0290372i
\(274\) −1.24524e6 + 1.39494e6i −1.00202 + 1.12248i
\(275\) 492718. 307582.i 0.392886 0.245261i
\(276\) 149990. + 119348.i 0.118519 + 0.0943064i
\(277\) 685160. + 685160.i 0.536529 + 0.536529i 0.922508 0.385979i \(-0.126136\pi\)
−0.385979 + 0.922508i \(0.626136\pi\)
\(278\) 117612. + 2.07425e6i 0.0912724 + 1.60972i
\(279\) 894464.i 0.687943i
\(280\) −625890. + 700588.i −0.477093 + 0.534033i
\(281\) 756195.i 0.571305i −0.958333 0.285653i \(-0.907790\pi\)
0.958333 0.285653i \(-0.0922103\pi\)
\(282\) 838496. 47543.5i 0.627882 0.0356015i
\(283\) −278054. 278054.i −0.206378 0.206378i 0.596348 0.802726i \(-0.296618\pi\)
−0.802726 + 0.596348i \(0.796618\pi\)
\(284\) 242389. 27576.1i 0.178327 0.0202879i
\(285\) −42294.7 + 370488.i −0.0308442 + 0.270185i
\(286\) 55631.2 + 49661.0i 0.0402164 + 0.0359005i
\(287\) 992183.i 0.711029i
\(288\) 1.08407e6 + 595325.i 0.770151 + 0.422935i
\(289\) 1.15415e6 0.812861
\(290\) −135684. + 2.37671e6i −0.0947401 + 1.65952i
\(291\) 409922. + 409922.i 0.283771 + 0.283771i
\(292\) 78304.1 + 688280.i 0.0537437 + 0.472398i
\(293\) 91175.3 + 91175.3i 0.0620452 + 0.0620452i 0.737449 0.675403i \(-0.236030\pi\)
−0.675403 + 0.737449i \(0.736030\pi\)
\(294\) 14239.7 + 251137.i 0.00960800 + 0.169450i
\(295\) 1.11781e6 + 1.40592e6i 0.747848 + 0.940600i
\(296\) −172804. 1.00716e6i −0.114637 0.668143i
\(297\) 460788. 0.303117
\(298\) 36724.8 + 647693.i 0.0239563 + 0.422502i
\(299\) −55317.3 + 55317.3i −0.0357835 + 0.0357835i
\(300\) −337801. 425204.i −0.216699 0.272768i
\(301\) 471181. + 471181.i 0.299758 + 0.299758i
\(302\) −1.92901e6 1.72200e6i −1.21708 1.08646i
\(303\) 964395.i 0.603460i
\(304\) 1.06647e6 + 666895.i 0.661856 + 0.413879i
\(305\) 548592. 436172.i 0.337675 0.268477i
\(306\) 414604. 464447.i 0.253122 0.283552i
\(307\) 388065. 388065.i 0.234995 0.234995i −0.579779 0.814774i \(-0.696861\pi\)
0.814774 + 0.579779i \(0.196861\pi\)
\(308\) 432084. + 343812.i 0.259532 + 0.206511i
\(309\) −377853. + 377853.i −0.225126 + 0.225126i
\(310\) 881851. + 988635.i 0.521184 + 0.584294i
\(311\) 1.57902e6i 0.925737i 0.886427 + 0.462869i \(0.153180\pi\)
−0.886427 + 0.462869i \(0.846820\pi\)
\(312\) 40253.2 56927.0i 0.0234107 0.0331079i
\(313\) −55876.9 −0.0322382 −0.0161191 0.999870i \(-0.505131\pi\)
−0.0161191 + 0.999870i \(0.505131\pi\)
\(314\) −175726. 3.09917e6i −0.100580 1.77387i
\(315\) −1.10091e6 125680.i −0.625139 0.0713655i
\(316\) −242403. 2.13068e6i −0.136559 1.20033i
\(317\) −14830.7 + 14830.7i −0.00828924 + 0.00828924i −0.711239 0.702950i \(-0.751866\pi\)
0.702950 + 0.711239i \(0.251866\pi\)
\(318\) 162317. 181830.i 0.0900109 0.100832i
\(319\) 1.39924e6 0.769866
\(320\) −1.78513e6 + 410781.i −0.974531 + 0.224251i
\(321\) 138371. 0.0749516
\(322\) −385759. + 432134.i −0.207337 + 0.232262i
\(323\) 447720. 447720.i 0.238781 0.238781i
\(324\) 138974. + 1.22156e6i 0.0735480 + 0.646475i
\(325\) 188012. 117367.i 0.0987363 0.0616366i
\(326\) −61372.3 1.08238e6i −0.0319837 0.564076i
\(327\) 139765. 0.0722818
\(328\) −1.11694e6 + 1.57961e6i −0.573254 + 0.810708i
\(329\) 2.53806e6i 1.29274i
\(330\) −238200. + 212471.i −0.120408 + 0.107403i
\(331\) 1.71840e6 1.71840e6i 0.862092 0.862092i −0.129489 0.991581i \(-0.541334\pi\)
0.991581 + 0.129489i \(0.0413337\pi\)
\(332\) −753218. 599340.i −0.375038 0.298420i
\(333\) 852266. 852266.i 0.421177 0.421177i
\(334\) −1.62758e6 + 1.82325e6i −0.798319 + 0.894292i
\(335\) −1.39516e6 1.75475e6i −0.679220 0.854284i
\(336\) 273719. 437720.i 0.132269 0.211518i
\(337\) 1.56560e6i 0.750942i −0.926834 0.375471i \(-0.877481\pi\)
0.926834 0.375471i \(-0.122519\pi\)
\(338\) −1.54564e6 1.37976e6i −0.735895 0.656921i
\(339\) 671037. + 671037.i 0.317137 + 0.317137i
\(340\) −356.562 + 922102.i −0.000167278 + 0.432595i
\(341\) 550604. 550604.i 0.256421 0.256421i
\(342\) 83985.2 + 1.48119e6i 0.0388273 + 0.684773i
\(343\) −2.32049e6 −1.06499
\(344\) 219715. + 1.28057e6i 0.100107 + 0.583456i
\(345\) −208390. 262101.i −0.0942605 0.118556i
\(346\) −170262. 3.00281e6i −0.0764589 1.34846i
\(347\) 2.24018e6 + 2.24018e6i 0.998757 + 0.998757i 0.999999 0.00124180i \(-0.000395279\pi\)
−0.00124180 + 0.999999i \(0.500395\pi\)
\(348\) −147878. 1.29982e6i −0.0654568 0.575355i
\(349\) 447529. + 447529.i 0.196679 + 0.196679i 0.798575 0.601896i \(-0.205588\pi\)
−0.601896 + 0.798575i \(0.705588\pi\)
\(350\) 1.34073e6 946477.i 0.585019 0.412991i
\(351\) 175828. 0.0761763
\(352\) 300856. + 1.03378e6i 0.129420 + 0.444706i
\(353\) 799162.i 0.341348i −0.985328 0.170674i \(-0.945405\pi\)
0.985328 0.170674i \(-0.0545946\pi\)
\(354\) −736330. 657309.i −0.312295 0.278780i
\(355\) −423418. 48337.2i −0.178319 0.0203568i
\(356\) 246965. 28096.6i 0.103278 0.0117498i
\(357\) −183762. 183762.i −0.0763105 0.0763105i
\(358\) 1.34057e6 76011.8i 0.552818 0.0313454i
\(359\) 3.26454e6i 1.33686i −0.743775 0.668430i \(-0.766967\pi\)
0.743775 0.668430i \(-0.233033\pi\)
\(360\) −1.61123e6 1.43944e6i −0.655240 0.585377i
\(361\) 967289.i 0.390650i
\(362\) −11497.6 202777.i −0.00461145 0.0813292i
\(363\) −485770. 485770.i −0.193492 0.193492i
\(364\) 164875. + 131192.i 0.0652231 + 0.0518984i
\(365\) 137257. 1.20232e6i 0.0539263 0.472377i
\(366\) −256483. + 287317.i −0.100082 + 0.112114i
\(367\) 814143.i 0.315526i −0.987477 0.157763i \(-0.949572\pi\)
0.987477 0.157763i \(-0.0504282\pi\)
\(368\) −1.10062e6 + 253714.i −0.423661 + 0.0976619i
\(369\) −2.28184e6 −0.872408
\(370\) −101746. + 1.78224e6i −0.0386380 + 0.676804i
\(371\) 520853. + 520853.i 0.196463 + 0.196463i
\(372\) −569674. 453293.i −0.213437 0.169833i
\(373\) −1.82156e6 1.82156e6i −0.677909 0.677909i 0.281618 0.959527i \(-0.409129\pi\)
−0.959527 + 0.281618i \(0.909129\pi\)
\(374\) 541116. 30681.8i 0.200037 0.0113423i
\(375\) 407848. + 856532.i 0.149768 + 0.314532i
\(376\) −2.85721e6 + 4.04073e6i −1.04225 + 1.47398i
\(377\) 533923. 0.193475
\(378\) 1.29985e6 73702.8i 0.467912 0.0265311i
\(379\) 2.67816e6 2.67816e6i 0.957720 0.957720i −0.0414216 0.999142i \(-0.513189\pi\)
0.999142 + 0.0414216i \(0.0131887\pi\)
\(380\) −1.55314e6 1.55434e6i −0.551760 0.552187i
\(381\) −1.01646e6 1.01646e6i −0.358739 0.358739i
\(382\) 2.86105e6 3.20500e6i 1.00315 1.12375i
\(383\) 3.41675e6i 1.19019i 0.803655 + 0.595096i \(0.202886\pi\)
−0.803655 + 0.595096i \(0.797114\pi\)
\(384\) 928537. 388735.i 0.321345 0.134532i
\(385\) −600323. 755052.i −0.206411 0.259612i
\(386\) 781907. + 697995.i 0.267108 + 0.238443i
\(387\) −1.08363e6 + 1.08363e6i −0.367793 + 0.367793i
\(388\) −3.39415e6 + 386144.i −1.14459 + 0.130218i
\(389\) −3.81576e6 + 3.81576e6i −1.27852 + 1.27852i −0.337020 + 0.941497i \(0.609419\pi\)
−0.941497 + 0.337020i \(0.890581\pi\)
\(390\) −90892.5 + 81075.0i −0.0302598 + 0.0269914i
\(391\) 568571.i 0.188080i
\(392\) −1.21024e6 855761.i −0.397791 0.281279i
\(393\) −1.06201e6 −0.346855
\(394\) −5.77426e6 + 327406.i −1.87394 + 0.106254i
\(395\) −424899. + 3.72198e6i −0.137023 + 1.20028i
\(396\) −790706. + 993715.i −0.253383 + 0.318437i
\(397\) 512236. 512236.i 0.163115 0.163115i −0.620830 0.783945i \(-0.713204\pi\)
0.783945 + 0.620830i \(0.213204\pi\)
\(398\) −1.55232e6 1.38573e6i −0.491217 0.438501i
\(399\) 619274. 0.194738
\(400\) 3.20000e6 + 2474.78i 1.00000 + 0.000773368i
\(401\) −5.43832e6 −1.68890 −0.844450 0.535634i \(-0.820073\pi\)
−0.844450 + 0.535634i \(0.820073\pi\)
\(402\) 919024. + 820397.i 0.283636 + 0.253197i
\(403\) 210100. 210100.i 0.0644411 0.0644411i
\(404\) 4.44682e6 + 3.53836e6i 1.35549 + 1.07857i
\(405\) 243603. 2.13388e6i 0.0737979 0.646446i
\(406\) 3.94716e6 223808.i 1.18842 0.0673845i
\(407\) 1.04926e6 0.313975
\(408\) −85689.5 499427.i −0.0254846 0.148533i
\(409\) 1.26422e6i 0.373691i 0.982389 + 0.186846i \(0.0598264\pi\)
−0.982389 + 0.186846i \(0.940174\pi\)
\(410\) 2.52208e6 2.24967e6i 0.740968 0.660935i
\(411\) −1.26931e6 + 1.26931e6i −0.370649 + 0.370649i
\(412\) −355935. 3.12861e6i −0.103307 0.908048i
\(413\) 2.10922e6 2.10922e6i 0.608481 0.608481i
\(414\) −993831. 887176.i −0.284978 0.254395i
\(415\) 1.04650e6 + 1.31622e6i 0.298275 + 0.375153i
\(416\) 114801. + 394472.i 0.0325246 + 0.111759i
\(417\) 1.99446e6i 0.561676i
\(418\) −860078. + 963475.i −0.240767 + 0.269712i
\(419\) 1.88594e6 + 1.88594e6i 0.524798 + 0.524798i 0.919017 0.394219i \(-0.128985\pi\)
−0.394219 + 0.919017i \(0.628985\pi\)
\(420\) −637960. + 637467.i −0.176470 + 0.176333i
\(421\) 484802. 484802.i 0.133309 0.133309i −0.637304 0.770613i \(-0.719950\pi\)
0.770613 + 0.637304i \(0.219950\pi\)
\(422\) 5.32069e6 301688.i 1.45441 0.0824665i
\(423\) −5.83709e6 −1.58615
\(424\) 242878. + 1.41557e6i 0.0656105 + 0.382400i
\(425\) 363055. 1.56940e6i 0.0974991 0.421465i
\(426\) 233818. 13257.7i 0.0624242 0.00353951i
\(427\) −823022. 823022.i −0.218445 0.218445i
\(428\) −507681. + 638025.i −0.133962 + 0.168356i
\(429\) 50621.0 + 50621.0i 0.0132797 + 0.0132797i
\(430\) 129367. 2.26607e6i 0.0337407 0.591020i
\(431\) 603417. 0.156468 0.0782338 0.996935i \(-0.475072\pi\)
0.0782338 + 0.996935i \(0.475072\pi\)
\(432\) 2.15240e6 + 1.34596e6i 0.554899 + 0.346995i
\(433\) 6.04005e6i 1.54818i 0.633077 + 0.774089i \(0.281792\pi\)
−0.633077 + 0.774089i \(0.718208\pi\)
\(434\) 1.46515e6 1.64128e6i 0.373385 0.418273i
\(435\) −259210. + 2.27060e6i −0.0656793 + 0.575330i
\(436\) −512797. + 644455.i −0.129190 + 0.162359i
\(437\) −958039. 958039.i −0.239982 0.239982i
\(438\) 37646.1 + 663940.i 0.00937636 + 0.165365i
\(439\) 7.29443e6i 1.80647i −0.429149 0.903234i \(-0.641187\pi\)
0.429149 0.903234i \(-0.358813\pi\)
\(440\) −105750. 1.87789e6i −0.0260404 0.462422i
\(441\) 1.74826e6i 0.428065i
\(442\) 206480. 11707.6i 0.0502714 0.00285044i
\(443\) 5.28135e6 + 5.28135e6i 1.27860 + 1.27860i 0.941450 + 0.337154i \(0.109464\pi\)
0.337154 + 0.941450i \(0.390536\pi\)
\(444\) −110890. 974707.i −0.0266954 0.234648i
\(445\) −431410. 49249.6i −0.103274 0.0117897i
\(446\) 393210. + 351012.i 0.0936025 + 0.0835574i
\(447\) 622779.i 0.147423i
\(448\) 1.01405e6 + 2.86811e6i 0.238706 + 0.675151i
\(449\) −5.28804e6 −1.23788 −0.618940 0.785438i \(-0.712438\pi\)
−0.618940 + 0.785438i \(0.712438\pi\)
\(450\) 2.17673e6 + 3.08343e6i 0.506726 + 0.717799i
\(451\) −1.40463e6 1.40463e6i −0.325178 0.325178i
\(452\) −5.55617e6 + 632113.i −1.27917 + 0.145529i
\(453\) −1.75529e6 1.75529e6i −0.401886 0.401886i
\(454\) −401860. 7.08736e6i −0.0915030 1.61378i
\(455\) −229072. 288113.i −0.0518732 0.0652431i
\(456\) 985917. + 697145.i 0.222039 + 0.157004i
\(457\) −4.02871e6 −0.902351 −0.451175 0.892435i \(-0.648995\pi\)
−0.451175 + 0.892435i \(0.648995\pi\)
\(458\) −304115. 5.36348e6i −0.0677444 1.19477i
\(459\) 903612. 903612.i 0.200194 0.200194i
\(460\) 1.97313e6 + 762.978i 0.434772 + 0.000168119i
\(461\) 3.89886e6 + 3.89886e6i 0.854448 + 0.854448i 0.990677 0.136229i \(-0.0434983\pi\)
−0.136229 + 0.990677i \(0.543498\pi\)
\(462\) 395448. + 353009.i 0.0861954 + 0.0769452i
\(463\) 1.49528e6i 0.324168i −0.986777 0.162084i \(-0.948178\pi\)
0.986777 0.162084i \(-0.0518216\pi\)
\(464\) 6.53603e6 + 4.08718e6i 1.40935 + 0.881310i
\(465\) 791485. + 995485.i 0.169750 + 0.213502i
\(466\) −3.29384e6 + 3.68982e6i −0.702647 + 0.787119i
\(467\) 1.12086e6 1.12086e6i 0.237827 0.237827i −0.578123 0.815950i \(-0.696215\pi\)
0.815950 + 0.578123i \(0.196215\pi\)
\(468\) −301718. + 379183.i −0.0636776 + 0.0800265i
\(469\) −2.63255e6 + 2.63255e6i −0.552643 + 0.552643i
\(470\) 6.45164e6 5.75478e6i 1.34718 1.20167i
\(471\) 2.97996e6i 0.618955i
\(472\) 5.73244e6 983546.i 1.18436 0.203207i
\(473\) −1.33410e6 −0.274179
\(474\) −116539. 2.05533e6i −0.0238247 0.420181i
\(475\) 2.03268e6 + 3.25617e6i 0.413367 + 0.662176i
\(476\) 1.52154e6 173103.i 0.307799 0.0350176i
\(477\) −1.19787e6 + 1.19787e6i −0.241053 + 0.241053i
\(478\) 1.75761e6 1.96891e6i 0.351846 0.394144i
\(479\) 8.05532e6 1.60415 0.802073 0.597226i \(-0.203730\pi\)
0.802073 + 0.597226i \(0.203730\pi\)
\(480\) −1.73329e6 + 296700.i −0.343375 + 0.0587780i
\(481\) 400376. 0.0789052
\(482\) −3.62611e6 + 4.06203e6i −0.710924 + 0.796390i
\(483\) −393216. + 393216.i −0.0766944 + 0.0766944i
\(484\) 4.02217e6 457593.i 0.780453 0.0887904i
\(485\) 5.92907e6 + 676859.i 1.14454 + 0.130660i
\(486\) 259730. + 4.58069e6i 0.0498805 + 0.879712i
\(487\) −1.33049e6 −0.254208 −0.127104 0.991889i \(-0.540568\pi\)
−0.127104 + 0.991889i \(0.540568\pi\)
\(488\) −383781. 2.23681e6i −0.0729515 0.425186i
\(489\) 1.04075e6i 0.196822i
\(490\) 1.72361e6 + 1.93232e6i 0.324301 + 0.363571i
\(491\) −4.93269e6 + 4.93269e6i −0.923380 + 0.923380i −0.997267 0.0738868i \(-0.976460\pi\)
0.0738868 + 0.997267i \(0.476460\pi\)
\(492\) −1.15638e6 + 1.45328e6i −0.215372 + 0.270668i
\(493\) 2.74393e6 2.74393e6i 0.508458 0.508458i
\(494\) −328189. + 367644.i −0.0605072 + 0.0677813i
\(495\) 1.73648e6 1.38063e6i 0.318535 0.253259i
\(496\) 4.18026e6 963629.i 0.762955 0.175876i
\(497\) 707748.i 0.128525i
\(498\) −689353. 615374.i −0.124557 0.111190i
\(499\) −5.22311e6 5.22311e6i −0.939027 0.939027i 0.0592178 0.998245i \(-0.481139\pi\)
−0.998245 + 0.0592178i \(0.981139\pi\)
\(500\) −5.44585e6 1.26203e6i −0.974183 0.225758i
\(501\) −1.65905e6 + 1.65905e6i −0.295300 + 0.295300i
\(502\) −80408.0 1.41811e6i −0.0142410 0.251159i
\(503\) −3.98079e6 −0.701535 −0.350768 0.936462i \(-0.614079\pi\)
−0.350768 + 0.936462i \(0.614079\pi\)
\(504\) −2.07158e6 + 2.92968e6i −0.363267 + 0.513740i
\(505\) −6.17826e6 7.77066e6i −1.07805 1.35591i
\(506\) −65653.4 1.15789e6i −0.0113994 0.201044i
\(507\) −1.40644e6 1.40644e6i −0.242997 0.242997i
\(508\) 8.41629e6 957503.i 1.44698 0.164619i
\(509\) 3.74369e6 + 3.74369e6i 0.640480 + 0.640480i 0.950673 0.310194i \(-0.100394\pi\)
−0.310194 + 0.950673i \(0.600394\pi\)
\(510\) −50453.6 + 883773.i −0.00858948 + 0.150458i
\(511\) −2.00970e6 −0.340470
\(512\) −1.61434e6 + 5.70774e6i −0.272158 + 0.962253i
\(513\) 3.04516e6i 0.510877i
\(514\) −4.72196e6 4.21522e6i −0.788342 0.703740i
\(515\) −623907. + 5.46522e6i −0.103658 + 0.908008i
\(516\) 140994. + 1.23931e6i 0.0233118 + 0.204907i
\(517\) −3.59313e6 3.59313e6i −0.591217 0.591217i
\(518\) 2.95988e6 167828.i 0.484674 0.0274815i
\(519\) 2.88730e6i 0.470516i
\(520\) −40352.1 716568.i −0.00654422 0.116211i
\(521\) 2.60758e6i 0.420865i −0.977608 0.210432i \(-0.932513\pi\)
0.977608 0.210432i \(-0.0674872\pi\)
\(522\) 514717. + 9.07775e6i 0.0826785 + 1.45815i
\(523\) 5.93790e6 + 5.93790e6i 0.949246 + 0.949246i 0.998773 0.0495265i \(-0.0157712\pi\)
−0.0495265 + 0.998773i \(0.515771\pi\)
\(524\) 3.89652e6 4.89693e6i 0.619938 0.779104i
\(525\) 1.33646e6 834292.i 0.211621 0.132105i
\(526\) −4.08919e6 + 4.58078e6i −0.644425 + 0.721897i
\(527\) 2.15949e6i 0.338707i
\(528\) 232175. + 1.00718e6i 0.0362435 + 0.157226i
\(529\) −5.21970e6 −0.810974
\(530\) 143006. 2.50496e6i 0.0221138 0.387357i
\(531\) 4.85083e6 + 4.85083e6i 0.746586 + 0.746586i
\(532\) −2.27211e6 + 2.85547e6i −0.348057 + 0.437419i
\(533\) −535980. 535980.i −0.0817205 0.0817205i
\(534\) 238231. 13507.9i 0.0361531 0.00204991i
\(535\) 1.11493e6 886450.i 0.168408 0.133897i
\(536\) −7.15473e6 + 1.22758e6i −1.07568 + 0.184560i
\(537\) 1.28901e6 0.192894
\(538\) 883979. 50122.5i 0.131670 0.00746581i
\(539\) 1.07617e6 1.07617e6i 0.159555 0.159555i
\(540\) −3.13462e6 3.13704e6i −0.462594 0.462952i
\(541\) 676764. + 676764.i 0.0994133 + 0.0994133i 0.755064 0.655651i \(-0.227606\pi\)
−0.655651 + 0.755064i \(0.727606\pi\)
\(542\) −1.20474e6 + 1.34957e6i −0.176155 + 0.197332i
\(543\) 194977.i 0.0283781i
\(544\) 2.61725e6 + 1.43728e6i 0.379182 + 0.208231i
\(545\) 1.12616e6 895384.i 0.162409 0.129127i
\(546\) 150895. + 134702.i 0.0216618 + 0.0193371i
\(547\) 4.02890e6 4.02890e6i 0.575729 0.575729i −0.357995 0.933724i \(-0.616539\pi\)
0.933724 + 0.357995i \(0.116539\pi\)
\(548\) −1.19568e6 1.05099e7i −0.170085 1.49502i
\(549\) 1.89280e6 1.89280e6i 0.268024 0.268024i
\(550\) −558138. + 3.23799e6i −0.0786746 + 0.456424i
\(551\) 9.24700e6i 1.29754i
\(552\) −1.06868e6 + 183360.i −0.149280 + 0.0256128i
\(553\) 6.22134e6 0.865109
\(554\) −5.47249e6 + 310296.i −0.757549 + 0.0429538i
\(555\) −194376. + 1.70267e6i −0.0267861 + 0.234638i
\(556\) −9.19645e6 7.31767e6i −1.26163 1.00389i
\(557\) 6.19331e6 6.19331e6i 0.845833 0.845833i −0.143777 0.989610i \(-0.545925\pi\)
0.989610 + 0.143777i \(0.0459248\pi\)
\(558\) 3.77466e6 + 3.36957e6i 0.513207 + 0.458131i
\(559\) −509066. −0.0689041
\(560\) −598681. 5.28049e6i −0.0806725 0.711548i
\(561\) 520302. 0.0697988
\(562\) 3.19116e6 + 2.84870e6i 0.426195 + 0.380457i
\(563\) 6.43620e6 6.43620e6i 0.855773 0.855773i −0.135064 0.990837i \(-0.543124\pi\)
0.990837 + 0.135064i \(0.0431239\pi\)
\(564\) −2.95810e6 + 3.71758e6i −0.391575 + 0.492110i
\(565\) 9.70580e6 + 1.10801e6i 1.27912 + 0.146023i
\(566\) 2.22087e6 125925.i 0.291395 0.0165224i
\(567\) −3.56681e6 −0.465931
\(568\) −796744. + 1.12677e6i −0.103621 + 0.146543i
\(569\) 1.08179e7i 1.40075i 0.713774 + 0.700377i \(0.246985\pi\)
−0.713774 + 0.700377i \(0.753015\pi\)
\(570\) −1.40414e6 1.57417e6i −0.181018 0.202938i
\(571\) −6.24264e6 + 6.24264e6i −0.801268 + 0.801268i −0.983294 0.182026i \(-0.941735\pi\)
0.182026 + 0.983294i \(0.441735\pi\)
\(572\) −419141. + 47684.8i −0.0535637 + 0.00609382i
\(573\) 2.91636e6 2.91636e6i 0.371069 0.371069i
\(574\) −4.18704e6 3.73770e6i −0.530429 0.473505i
\(575\) −3.35823e6 776872.i −0.423585 0.0979895i
\(576\) −6.59614e6 + 2.33212e6i −0.828387 + 0.292884i
\(577\) 1.14791e7i 1.43539i −0.696359 0.717694i \(-0.745198\pi\)
0.696359 0.717694i \(-0.254802\pi\)
\(578\) −4.34784e6 + 4.87053e6i −0.541320 + 0.606396i
\(579\) 711488. + 711488.i 0.0882006 + 0.0882006i
\(580\) −9.51865e6 9.52602e6i −1.17491 1.17582i
\(581\) 1.97466e6 1.97466e6i 0.242689 0.242689i
\(582\) −3.27412e6 + 185646.i −0.400670 + 0.0227184i
\(583\) −1.47474e6 −0.179698
\(584\) −3.19954e6 2.26241e6i −0.388200 0.274498i
\(585\) 662609. 526824.i 0.0800511 0.0636467i
\(586\) −728233. + 41291.5i −0.0876045 + 0.00496726i
\(587\) −3.31895e6 3.31895e6i −0.397563 0.397563i 0.479810 0.877372i \(-0.340706\pi\)
−0.877372 + 0.479810i \(0.840706\pi\)
\(588\) −1.11345e6 885978.i −0.132809 0.105677i
\(589\) 3.63872e6 + 3.63872e6i 0.432175 + 0.432175i
\(590\) −1.01440e7 579108.i −1.19971 0.0684904i
\(591\) −5.55215e6 −0.653872
\(592\) 4.90122e6 + 3.06488e6i 0.574778 + 0.359426i
\(593\) 1.28734e7i 1.50333i 0.659542 + 0.751667i \(0.270750\pi\)
−0.659542 + 0.751667i \(0.729250\pi\)
\(594\) −1.73585e6 + 1.94454e6i −0.201858 + 0.226126i
\(595\) −2.65791e6 303426.i −0.307785 0.0351366i
\(596\) −2.87163e6 2.28497e6i −0.331141 0.263491i
\(597\) −1.41252e6 1.41252e6i −0.162203 0.162203i
\(598\) −25052.1 441828.i −0.00286478 0.0505243i
\(599\) 5.06274e6i 0.576525i 0.957551 + 0.288263i \(0.0930777\pi\)
−0.957551 + 0.288263i \(0.906922\pi\)
\(600\) 3.06692e6 + 176277.i 0.347795 + 0.0199902i
\(601\) 7.24353e6i 0.818020i 0.912530 + 0.409010i \(0.134126\pi\)
−0.912530 + 0.409010i \(0.865874\pi\)
\(602\) −3.76340e6 + 213389.i −0.423242 + 0.0239983i
\(603\) −6.05439e6 6.05439e6i −0.678074 0.678074i
\(604\) 1.45338e7 1.65347e6i 1.62101 0.184419i
\(605\) −7.02613e6 802099.i −0.780419 0.0890921i
\(606\) 4.06977e6 + 3.63302e6i 0.450183 + 0.401870i
\(607\) 1.57959e7i 1.74009i −0.492971 0.870046i \(-0.664089\pi\)
0.492971 0.870046i \(-0.335911\pi\)
\(608\) −6.83185e6 + 1.98823e6i −0.749514 + 0.218126i
\(609\) 3.79533e6 0.414673
\(610\) −225969. + 3.95819e6i −0.0245881 + 0.430697i
\(611\) −1.37107e6 1.37107e6i −0.148579 0.148579i
\(612\) 398105. + 3.49928e6i 0.0429654 + 0.377659i
\(613\) −4.76057e6 4.76057e6i −0.511691 0.511691i 0.403353 0.915044i \(-0.367845\pi\)
−0.915044 + 0.403353i \(0.867845\pi\)
\(614\) 175747. + 3.09954e6i 0.0188134 + 0.331800i
\(615\) 2.53956e6 2.01914e6i 0.270751 0.215267i
\(616\) −3.07862e6 + 528215.i −0.326892 + 0.0560866i
\(617\) −2.59971e6 −0.274924 −0.137462 0.990507i \(-0.543894\pi\)
−0.137462 + 0.990507i \(0.543894\pi\)
\(618\) −171122. 3.01797e6i −0.0180233 0.317866i
\(619\) 7.16080e6 7.16080e6i 0.751164 0.751164i −0.223533 0.974696i \(-0.571759\pi\)
0.974696 + 0.223533i \(0.0717589\pi\)
\(620\) −7.49413e6 2897.86i −0.782964 0.000302760i
\(621\) −1.93356e6 1.93356e6i −0.201201 0.201201i
\(622\) −6.66352e6 5.94841e6i −0.690602 0.616489i
\(623\) 721107.i 0.0744354i
\(624\) 88593.5 + 384322.i 0.00910836 + 0.0395124i
\(625\) 8.77350e6 + 4.28872e6i 0.898406 + 0.439165i
\(626\) 210496. 235802.i 0.0214689 0.0240498i
\(627\) −876705. + 876705.i −0.0890604 + 0.0890604i
\(628\) 1.37406e7 + 1.09335e7i 1.39029 + 1.10626i
\(629\) 2.05761e6 2.05761e6i 0.207365 0.207365i
\(630\) 4.67767e6 4.17243e6i 0.469546 0.418829i
\(631\) 1.03669e7i 1.03651i −0.855225 0.518257i \(-0.826581\pi\)
0.855225 0.518257i \(-0.173419\pi\)
\(632\) 9.90469e6 + 7.00364e6i 0.986389 + 0.697479i
\(633\) 5.11603e6 0.507486
\(634\) −6716.56 118456.i −0.000663626 0.0117040i
\(635\) −1.47020e7 1.67837e6i −1.44691 0.165179i
\(636\) 155857. + 1.36996e6i 0.0152786 + 0.134297i
\(637\) 410648. 410648.i 0.0400978 0.0400978i
\(638\) −5.27113e6 + 5.90482e6i −0.512687 + 0.574322i
\(639\) −1.62769e6 −0.157696
\(640\) 4.99135e6 9.08078e6i 0.481691 0.876341i
\(641\) 8.42567e6 0.809952 0.404976 0.914327i \(-0.367280\pi\)
0.404976 + 0.914327i \(0.367280\pi\)
\(642\) −521262. + 583927.i −0.0499135 + 0.0559141i
\(643\) 1.18567e7 1.18567e7i 1.13093 1.13093i 0.140909 0.990023i \(-0.454998\pi\)
0.990023 0.140909i \(-0.0450023\pi\)
\(644\) −370408. 3.25582e6i −0.0351937 0.309347i
\(645\) 247143. 2.16489e6i 0.0233910 0.204898i
\(646\) 202764. + 3.57602e6i 0.0191165 + 0.337146i
\(647\) −2.24448e6 −0.210792 −0.105396 0.994430i \(-0.533611\pi\)
−0.105396 + 0.994430i \(0.533611\pi\)
\(648\) −5.67854e6 4.01531e6i −0.531250 0.375649i
\(649\) 5.97204e6i 0.556558i
\(650\) −212975. + 1.23555e6i −0.0197717 + 0.114704i
\(651\) 1.49347e6 1.49347e6i 0.138116 0.138116i
\(652\) 4.79889e6 + 3.81851e6i 0.442101 + 0.351783i
\(653\) 498634. 498634.i 0.0457613 0.0457613i −0.683856 0.729617i \(-0.739698\pi\)
0.729617 + 0.683856i \(0.239698\pi\)
\(654\) −526515. + 589812.i −0.0481356 + 0.0539224i
\(655\) −8.55721e6 + 6.80363e6i −0.779344 + 0.619637i
\(656\) −2.45829e6 1.06641e7i −0.223035 0.967535i
\(657\) 4.62194e6i 0.417745i
\(658\) −1.07107e7 9.56126e6i −0.964391 0.860895i
\(659\) −3.79285e6 3.79285e6i −0.340214 0.340214i 0.516234 0.856448i \(-0.327334\pi\)
−0.856448 + 0.516234i \(0.827334\pi\)
\(660\) 698.204 1.80562e6i 6.23911e−5 0.161349i
\(661\) 6.23370e6 6.23370e6i 0.554936 0.554936i −0.372926 0.927861i \(-0.621645\pi\)
0.927861 + 0.372926i \(0.121645\pi\)
\(662\) 778228. + 1.37251e7i 0.0690180 + 1.21723i
\(663\) 198537. 0.0175412
\(664\) 5.36671e6 920796.i 0.472376 0.0810482i
\(665\) 4.98983e6 3.96729e6i 0.437554 0.347888i
\(666\) 385975. + 6.80720e6i 0.0337189 + 0.594679i
\(667\) −5.87150e6 5.87150e6i −0.511016 0.511016i
\(668\) −1.56281e6 1.37369e7i −0.135508 1.19110i
\(669\) 357798. + 357798.i 0.0309081 + 0.0309081i
\(670\) 1.26608e7 + 722793.i 1.08962 + 0.0622052i
\(671\) 2.33030e6 0.199804
\(672\) 816048. + 2.80406e6i 0.0697096 + 0.239532i
\(673\) 1.73385e7i 1.47562i 0.675008 + 0.737810i \(0.264140\pi\)
−0.675008 + 0.737810i \(0.735860\pi\)
\(674\) 6.60688e6 + 5.89785e6i 0.560204 + 0.500085i
\(675\) 4.10247e6 + 6.57178e6i 0.346566 + 0.555167i
\(676\) 1.16453e7 1.32486e6i 0.980130 0.111507i
\(677\) 1.61792e7 + 1.61792e7i 1.35670 + 1.35670i 0.877949 + 0.478755i \(0.158912\pi\)
0.478755 + 0.877949i \(0.341088\pi\)
\(678\) −5.35968e6 + 303899.i −0.447780 + 0.0253896i
\(679\) 9.91051e6i 0.824938i
\(680\) −3.88995e6 3.47520e6i −0.322606 0.288209i
\(681\) 6.81474e6i 0.563095i
\(682\) 249358. + 4.39777e6i 0.0205287 + 0.362052i
\(683\) 6.77383e6 + 6.77383e6i 0.555626 + 0.555626i 0.928059 0.372433i \(-0.121476\pi\)
−0.372433 + 0.928059i \(0.621476\pi\)
\(684\) −6.56706e6 5.22545e6i −0.536699 0.427055i
\(685\) −2.09587e6 + 1.83592e7i −0.170663 + 1.49495i
\(686\) 8.74163e6 9.79253e6i 0.709222 0.794483i
\(687\) 5.15717e6i 0.416888i
\(688\) −6.23175e6 3.89690e6i −0.501925 0.313869i
\(689\) −562733. −0.0451601
\(690\) 1.89111e6 + 107962.i 0.151215 + 0.00863269i
\(691\) 1.01735e6 + 1.01735e6i 0.0810544 + 0.0810544i 0.746472 0.665417i \(-0.231746\pi\)
−0.665417 + 0.746472i \(0.731746\pi\)
\(692\) 1.33133e7 + 1.05935e7i 1.05687 + 0.840958i
\(693\) −2.60515e6 2.60515e6i −0.206063 0.206063i
\(694\) −1.78927e7 + 1.01454e6i −1.41019 + 0.0799592i
\(695\) 1.27772e7 + 1.60705e7i 1.00340 + 1.26202i
\(696\) 6.04236e6 + 4.27257e6i 0.472807 + 0.334323i
\(697\) −5.50901e6 −0.429528
\(698\) −3.57449e6 + 202677.i −0.277700 + 0.0157459i
\(699\) −3.35751e6 + 3.35751e6i −0.259911 + 0.259911i
\(700\) −1.05655e6 + 9.22342e6i −0.0814979 + 0.711454i
\(701\) −8.06818e6 8.06818e6i −0.620127 0.620127i 0.325437 0.945564i \(-0.394489\pi\)
−0.945564 + 0.325437i \(0.894489\pi\)
\(702\) −662369. + 741998.i −0.0507291 + 0.0568277i
\(703\) 6.93411e6i 0.529179i
\(704\) −5.49596e6 2.62479e6i −0.417938 0.199601i
\(705\) 6.49634e6 5.16508e6i 0.492261 0.391385i
\(706\) 3.37248e6 + 3.01056e6i 0.254647 + 0.227319i
\(707\) −1.16579e7 + 1.16579e7i −0.877145 + 0.877145i
\(708\) 5.54772e6 631152.i 0.415941 0.0473207i
\(709\) −6.45791e6 + 6.45791e6i −0.482476 + 0.482476i −0.905922 0.423445i \(-0.860821\pi\)
0.423445 + 0.905922i \(0.360821\pi\)
\(710\) 1.79906e6 1.60474e6i 0.133937 0.119470i
\(711\) 1.43080e7i 1.06146i
\(712\) −811783. + 1.14804e6i −0.0600123 + 0.0848706i
\(713\) −4.62090e6 −0.340411
\(714\) 1.46774e6 83222.1i 0.107746 0.00610932i
\(715\) 732177. + 83585.0i 0.0535613 + 0.00611453i
\(716\) −4.72936e6 + 5.94360e6i −0.344762 + 0.433278i
\(717\) 1.79159e6 1.79159e6i 0.130149 0.130149i
\(718\) 1.37764e7 + 1.22980e7i 0.997300 + 0.890273i
\(719\) 3.04248e6 0.219485 0.109743 0.993960i \(-0.464997\pi\)
0.109743 + 0.993960i \(0.464997\pi\)
\(720\) 1.21442e7 1.37686e6i 0.873046 0.0989825i
\(721\) 9.13518e6 0.654454
\(722\) 4.08198e6 + 3.64392e6i 0.291426 + 0.260151i
\(723\) −3.69621e6 + 3.69621e6i −0.262973 + 0.262973i
\(724\) 899036. + 715369.i 0.0637428 + 0.0507205i
\(725\) 1.24576e7 + 1.99560e7i 0.880220 + 1.41003i
\(726\) 3.87993e6 219996.i 0.273201 0.0154908i
\(727\) 1.64668e7 1.15551 0.577753 0.816212i \(-0.303930\pi\)
0.577753 + 0.816212i \(0.303930\pi\)
\(728\) −1.17474e6 + 201557.i −0.0821512 + 0.0140951i
\(729\) 4.93155e6i 0.343688i
\(730\) 4.55677e6 + 5.10855e6i 0.316483 + 0.354806i
\(731\) −2.61619e6 + 2.61619e6i −0.181082 + 0.181082i
\(732\) −246277. 2.16473e6i −0.0169881 0.149323i
\(733\) −1.43075e7 + 1.43075e7i −0.983568 + 0.983568i −0.999867 0.0162995i \(-0.994811\pi\)
0.0162995 + 0.999867i \(0.494811\pi\)
\(734\) 3.43570e6 + 3.06699e6i 0.235383 + 0.210123i
\(735\) 1.54699e6 + 1.94571e6i 0.105625 + 0.132850i
\(736\) 3.07552e6 5.60043e6i 0.209278 0.381089i
\(737\) 7.45378e6i 0.505485i
\(738\) 8.59603e6 9.62943e6i 0.580975 0.650818i
\(739\) −3.81863e6 3.81863e6i −0.257215 0.257215i 0.566705 0.823921i \(-0.308218\pi\)
−0.823921 + 0.566705i \(0.808218\pi\)
\(740\) −7.13782e6 7.14334e6i −0.479166 0.479537i
\(741\) −334534. + 334534.i −0.0223818 + 0.0223818i
\(742\) −4.16014e6 + 235884.i −0.277395 + 0.0157286i
\(743\) −2.69996e7 −1.79426 −0.897129 0.441768i \(-0.854351\pi\)
−0.897129 + 0.441768i \(0.854351\pi\)
\(744\) 4.05895e6 696417.i 0.268832 0.0461251i
\(745\) 3.98974e6 + 5.01807e6i 0.263363 + 0.331243i
\(746\) 1.45491e7 824949.i 0.957171 0.0542725i
\(747\) 4.54135e6 + 4.54135e6i 0.297772 + 0.297772i
\(748\) −1.90898e6 + 2.39911e6i −0.124752 + 0.156782i
\(749\) −1.67266e6 1.67266e6i −0.108944 0.108944i
\(750\) −5.15101e6 1.50555e6i −0.334379 0.0977332i
\(751\) 3.53855e6 0.228942 0.114471 0.993427i \(-0.463483\pi\)
0.114471 + 0.993427i \(0.463483\pi\)
\(752\) −6.28845e6 2.72795e7i −0.405508 1.75911i
\(753\) 1.36356e6i 0.0876367i
\(754\) −2.01136e6 + 2.25317e6i −0.128843 + 0.144333i
\(755\) −2.53883e7 2.89832e6i −1.62094 0.185045i
\(756\) −4.58570e6 + 5.76305e6i −0.291810 + 0.366731i
\(757\) −1.14821e7 1.14821e7i −0.728251 0.728251i 0.242020 0.970271i \(-0.422190\pi\)
−0.970271 + 0.242020i \(0.922190\pi\)
\(758\) 1.21289e6 + 2.13909e7i 0.0766738 + 1.35225i
\(759\) 1.11335e6i 0.0701500i
\(760\) 1.24102e7 698858.i 0.779374 0.0438889i
\(761\)