Properties

Label 80.6.l.a.21.5
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 21.5
Character \(\chi\) \(=\) 80.21
Dual form 80.6.l.a.61.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.42543 - 1.60146i) q^{2} +(3.86003 - 3.86003i) q^{3} +(26.8706 + 17.3773i) q^{4} +(-17.6777 - 17.6777i) q^{5} +(-27.1241 + 14.7606i) q^{6} +20.3706i q^{7} +(-117.956 - 137.312i) q^{8} +213.200i q^{9} +O(q^{10})\) \(q+(-5.42543 - 1.60146i) q^{2} +(3.86003 - 3.86003i) q^{3} +(26.8706 + 17.3773i) q^{4} +(-17.6777 - 17.6777i) q^{5} +(-27.1241 + 14.7606i) q^{6} +20.3706i q^{7} +(-117.956 - 137.312i) q^{8} +213.200i q^{9} +(67.5988 + 124.219i) q^{10} +(-268.702 - 268.702i) q^{11} +(170.798 - 36.6447i) q^{12} +(621.797 - 621.797i) q^{13} +(32.6228 - 110.519i) q^{14} -136.473 q^{15} +(420.061 + 933.876i) q^{16} -2094.53 q^{17} +(341.433 - 1156.70i) q^{18} +(-370.318 + 370.318i) q^{19} +(-167.820 - 782.200i) q^{20} +(78.6312 + 78.6312i) q^{21} +(1027.51 + 1888.14i) q^{22} +3608.29i q^{23} +(-985.340 - 74.7143i) q^{24} +625.000i q^{25} +(-4369.30 + 2377.73i) q^{26} +(1760.95 + 1760.95i) q^{27} +(-353.985 + 547.371i) q^{28} +(-5957.69 + 5957.69i) q^{29} +(740.424 + 218.556i) q^{30} -10314.0 q^{31} +(-783.443 - 5739.39i) q^{32} -2074.39 q^{33} +(11363.7 + 3354.32i) q^{34} +(360.105 - 360.105i) q^{35} +(-3704.84 + 5728.82i) q^{36} +(2830.29 + 2830.29i) q^{37} +(2602.18 - 1416.08i) q^{38} -4800.32i q^{39} +(-342.167 + 4512.53i) q^{40} +2923.54i q^{41} +(-300.683 - 552.533i) q^{42} +(-7107.96 - 7107.96i) q^{43} +(-2550.88 - 11889.5i) q^{44} +(3768.88 - 3768.88i) q^{45} +(5778.55 - 19576.6i) q^{46} -470.452 q^{47} +(5226.24 + 1983.34i) q^{48} +16392.0 q^{49} +(1000.92 - 3390.90i) q^{50} +(-8084.96 + 8084.96i) q^{51} +(27513.2 - 5902.94i) q^{52} +(-5934.20 - 5934.20i) q^{53} +(-6733.81 - 12374.0i) q^{54} +9500.04i q^{55} +(2797.12 - 2402.83i) q^{56} +2858.88i q^{57} +(41864.1 - 22782.0i) q^{58} +(-8405.61 - 8405.61i) q^{59} +(-3667.11 - 2371.53i) q^{60} +(-27548.1 + 27548.1i) q^{61} +(55958.0 + 16517.5i) q^{62} -4343.02 q^{63} +(-4940.92 + 32393.4i) q^{64} -21983.9 q^{65} +(11254.5 + 3322.07i) q^{66} +(49797.3 - 49797.3i) q^{67} +(-56281.3 - 36397.2i) q^{68} +(13928.1 + 13928.1i) q^{69} +(-2530.42 + 1377.03i) q^{70} -70220.5i q^{71} +(29274.9 - 25148.2i) q^{72} +54478.8i q^{73} +(-10822.9 - 19888.2i) q^{74} +(2412.52 + 2412.52i) q^{75} +(-16385.8 + 3515.56i) q^{76} +(5473.61 - 5473.61i) q^{77} +(-7687.54 + 26043.8i) q^{78} -69249.4 q^{79} +(9083.06 - 23934.5i) q^{80} -38213.0 q^{81} +(4681.94 - 15861.4i) q^{82} +(-21656.9 + 21656.9i) q^{83} +(746.474 + 3479.26i) q^{84} +(37026.4 + 37026.4i) q^{85} +(27180.6 + 49946.9i) q^{86} +45993.8i q^{87} +(-5200.95 + 68590.7i) q^{88} -3328.58i q^{89} +(-26483.6 + 14412.1i) q^{90} +(12666.4 + 12666.4i) q^{91} +(-62702.3 + 96957.1i) q^{92} +(-39812.5 + 39812.5i) q^{93} +(2552.41 + 753.412i) q^{94} +13092.7 q^{95} +(-25178.4 - 19130.1i) q^{96} +128648. q^{97} +(-88933.9 - 26251.3i) q^{98} +(57287.2 - 57287.2i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 44q^{4} - 228q^{6} + O(q^{10}) \) \( 80q + 44q^{4} - 228q^{6} - 100q^{10} + 1208q^{11} + 1572q^{12} - 916q^{14} - 1800q^{15} + 2960q^{16} + 6400q^{18} + 2360q^{19} - 3800q^{20} - 3260q^{22} - 13880q^{24} - 880q^{26} - 7464q^{27} + 18764q^{28} - 8144q^{29} + 22400q^{32} - 7440q^{34} + 27948q^{36} + 21296q^{37} - 34820q^{38} - 7260q^{42} + 32072q^{43} + 64392q^{44} + 149268q^{46} - 88360q^{47} + 94040q^{48} - 192080q^{49} + 2500q^{50} - 5920q^{51} - 55016q^{52} - 49456q^{53} - 250784q^{54} - 250352q^{56} - 115988q^{58} + 44984q^{59} + 7700q^{60} + 48080q^{61} + 444328q^{62} + 158760q^{63} + 218096q^{64} + 253440q^{66} + 61160q^{67} - 119792q^{68} - 22320q^{69} - 66200q^{70} - 629480q^{72} - 156664q^{74} + 223232q^{76} - 14896q^{77} + 516176q^{78} + 177680q^{79} + 48400q^{80} - 524880q^{81} + 254476q^{82} - 329240q^{83} - 173248q^{84} + 132400q^{85} - 765740q^{86} - 390400q^{88} + 71100q^{90} + 364832q^{91} + 333532q^{92} - 362352q^{93} + 537844q^{94} + 288800q^{95} + 1151112q^{96} + 52420q^{98} + 659000q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.42543 1.60146i −0.959090 0.283102i
\(3\) 3.86003 3.86003i 0.247621 0.247621i −0.572372 0.819994i \(-0.693977\pi\)
0.819994 + 0.572372i \(0.193977\pi\)
\(4\) 26.8706 + 17.3773i 0.839707 + 0.543040i
\(5\) −17.6777 17.6777i −0.316228 0.316228i
\(6\) −27.1241 + 14.7606i −0.307593 + 0.167389i
\(7\) 20.3706i 0.157130i 0.996909 + 0.0785649i \(0.0250338\pi\)
−0.996909 + 0.0785649i \(0.974966\pi\)
\(8\) −117.956 137.312i −0.651619 0.758546i
\(9\) 213.200i 0.877367i
\(10\) 67.5988 + 124.219i 0.213766 + 0.392815i
\(11\) −268.702 268.702i −0.669558 0.669558i 0.288055 0.957614i \(-0.406991\pi\)
−0.957614 + 0.288055i \(0.906991\pi\)
\(12\) 170.798 36.6447i 0.342398 0.0734612i
\(13\) 621.797 621.797i 1.02045 1.02045i 0.0206604 0.999787i \(-0.493423\pi\)
0.999787 0.0206604i \(-0.00657687\pi\)
\(14\) 32.6228 110.519i 0.0444837 0.150702i
\(15\) −136.473 −0.156609
\(16\) 420.061 + 933.876i 0.410216 + 0.911988i
\(17\) −2094.53 −1.75778 −0.878890 0.477025i \(-0.841715\pi\)
−0.878890 + 0.477025i \(0.841715\pi\)
\(18\) 341.433 1156.70i 0.248384 0.841474i
\(19\) −370.318 + 370.318i −0.235337 + 0.235337i −0.814916 0.579579i \(-0.803217\pi\)
0.579579 + 0.814916i \(0.303217\pi\)
\(20\) −167.820 782.200i −0.0938145 0.437263i
\(21\) 78.6312 + 78.6312i 0.0389087 + 0.0389087i
\(22\) 1027.51 + 1888.14i 0.452614 + 0.831720i
\(23\) 3608.29i 1.42227i 0.703055 + 0.711135i \(0.251819\pi\)
−0.703055 + 0.711135i \(0.748181\pi\)
\(24\) −985.340 74.7143i −0.349187 0.0264774i
\(25\) 625.000i 0.200000i
\(26\) −4369.30 + 2377.73i −1.26759 + 0.689810i
\(27\) 1760.95 + 1760.95i 0.464876 + 0.464876i
\(28\) −353.985 + 547.371i −0.0853277 + 0.131943i
\(29\) −5957.69 + 5957.69i −1.31548 + 1.31548i −0.398160 + 0.917316i \(0.630351\pi\)
−0.917316 + 0.398160i \(0.869649\pi\)
\(30\) 740.424 + 218.556i 0.150203 + 0.0443364i
\(31\) −10314.0 −1.92763 −0.963816 0.266569i \(-0.914110\pi\)
−0.963816 + 0.266569i \(0.914110\pi\)
\(32\) −783.443 5739.39i −0.135249 0.990812i
\(33\) −2074.39 −0.331594
\(34\) 11363.7 + 3354.32i 1.68587 + 0.497630i
\(35\) 360.105 360.105i 0.0496888 0.0496888i
\(36\) −3704.84 + 5728.82i −0.476445 + 0.736732i
\(37\) 2830.29 + 2830.29i 0.339881 + 0.339881i 0.856322 0.516441i \(-0.172744\pi\)
−0.516441 + 0.856322i \(0.672744\pi\)
\(38\) 2602.18 1416.08i 0.292334 0.159085i
\(39\) 4800.32i 0.505369i
\(40\) −342.167 + 4512.53i −0.0338133 + 0.445933i
\(41\) 2923.54i 0.271612i 0.990735 + 0.135806i \(0.0433624\pi\)
−0.990735 + 0.135806i \(0.956638\pi\)
\(42\) −300.683 552.533i −0.0263018 0.0483320i
\(43\) −7107.96 7107.96i −0.586238 0.586238i 0.350372 0.936610i \(-0.386055\pi\)
−0.936610 + 0.350372i \(0.886055\pi\)
\(44\) −2550.88 11889.5i −0.198636 0.925830i
\(45\) 3768.88 3768.88i 0.277448 0.277448i
\(46\) 5778.55 19576.6i 0.402647 1.36409i
\(47\) −470.452 −0.0310650 −0.0155325 0.999879i \(-0.504944\pi\)
−0.0155325 + 0.999879i \(0.504944\pi\)
\(48\) 5226.24 + 1983.34i 0.327406 + 0.124250i
\(49\) 16392.0 0.975310
\(50\) 1000.92 3390.90i 0.0566203 0.191818i
\(51\) −8084.96 + 8084.96i −0.435264 + 0.435264i
\(52\) 27513.2 5902.94i 1.41102 0.302733i
\(53\) −5934.20 5934.20i −0.290183 0.290183i 0.546969 0.837153i \(-0.315781\pi\)
−0.837153 + 0.546969i \(0.815781\pi\)
\(54\) −6733.81 12374.0i −0.314251 0.577465i
\(55\) 9500.04i 0.423466i
\(56\) 2797.12 2402.83i 0.119190 0.102389i
\(57\) 2858.88i 0.116549i
\(58\) 41864.1 22782.0i 1.63407 0.889247i
\(59\) −8405.61 8405.61i −0.314369 0.314369i 0.532231 0.846599i \(-0.321354\pi\)
−0.846599 + 0.532231i \(0.821354\pi\)
\(60\) −3667.11 2371.53i −0.131506 0.0850452i
\(61\) −27548.1 + 27548.1i −0.947911 + 0.947911i −0.998709 0.0507975i \(-0.983824\pi\)
0.0507975 + 0.998709i \(0.483824\pi\)
\(62\) 55958.0 + 16517.5i 1.84877 + 0.545715i
\(63\) −4343.02 −0.137861
\(64\) −4940.92 + 32393.4i −0.150785 + 0.988567i
\(65\) −21983.9 −0.645387
\(66\) 11254.5 + 3322.07i 0.318028 + 0.0938748i
\(67\) 49797.3 49797.3i 1.35525 1.35525i 0.475570 0.879678i \(-0.342242\pi\)
0.879678 0.475570i \(-0.157758\pi\)
\(68\) −56281.3 36397.2i −1.47602 0.954544i
\(69\) 13928.1 + 13928.1i 0.352185 + 0.352185i
\(70\) −2530.42 + 1377.03i −0.0617230 + 0.0335891i
\(71\) 70220.5i 1.65317i −0.562811 0.826586i \(-0.690280\pi\)
0.562811 0.826586i \(-0.309720\pi\)
\(72\) 29274.9 25148.2i 0.665524 0.571709i
\(73\) 54478.8i 1.19652i 0.801302 + 0.598260i \(0.204141\pi\)
−0.801302 + 0.598260i \(0.795859\pi\)
\(74\) −10822.9 19888.2i −0.229756 0.422197i
\(75\) 2412.52 + 2412.52i 0.0495243 + 0.0495243i
\(76\) −16385.8 + 3515.56i −0.325412 + 0.0698168i
\(77\) 5473.61 5473.61i 0.105208 0.105208i
\(78\) −7687.54 + 26043.8i −0.143071 + 0.484694i
\(79\) −69249.4 −1.24838 −0.624192 0.781271i \(-0.714572\pi\)
−0.624192 + 0.781271i \(0.714572\pi\)
\(80\) 9083.06 23934.5i 0.158674 0.418118i
\(81\) −38213.0 −0.647141
\(82\) 4681.94 15861.4i 0.0768937 0.260500i
\(83\) −21656.9 + 21656.9i −0.345066 + 0.345066i −0.858268 0.513202i \(-0.828459\pi\)
0.513202 + 0.858268i \(0.328459\pi\)
\(84\) 746.474 + 3479.26i 0.0115429 + 0.0538009i
\(85\) 37026.4 + 37026.4i 0.555859 + 0.555859i
\(86\) 27180.6 + 49946.9i 0.396290 + 0.728220i
\(87\) 45993.8i 0.651480i
\(88\) −5200.95 + 68590.7i −0.0715939 + 0.944188i
\(89\) 3328.58i 0.0445435i −0.999752 0.0222718i \(-0.992910\pi\)
0.999752 0.0222718i \(-0.00708990\pi\)
\(90\) −26483.6 + 14412.1i −0.344643 + 0.187552i
\(91\) 12666.4 + 12666.4i 0.160343 + 0.160343i
\(92\) −62702.3 + 96957.1i −0.772350 + 1.19429i
\(93\) −39812.5 + 39812.5i −0.477323 + 0.477323i
\(94\) 2552.41 + 753.412i 0.0297941 + 0.00879454i
\(95\) 13092.7 0.148840
\(96\) −25178.4 19130.1i −0.278837 0.211856i
\(97\) 128648. 1.38826 0.694132 0.719848i \(-0.255788\pi\)
0.694132 + 0.719848i \(0.255788\pi\)
\(98\) −88933.9 26251.3i −0.935410 0.276112i
\(99\) 57287.2 57287.2i 0.587449 0.587449i
\(100\) −10860.8 + 16794.1i −0.108608 + 0.167941i
\(101\) 6522.13 + 6522.13i 0.0636189 + 0.0636189i 0.738200 0.674582i \(-0.235676\pi\)
−0.674582 + 0.738200i \(0.735676\pi\)
\(102\) 56812.2 30916.6i 0.540681 0.294233i
\(103\) 138377.i 1.28520i −0.766202 0.642600i \(-0.777856\pi\)
0.766202 0.642600i \(-0.222144\pi\)
\(104\) −158724. 12035.4i −1.43900 0.109113i
\(105\) 2780.03i 0.0246080i
\(106\) 22692.2 + 41699.0i 0.196160 + 0.360463i
\(107\) −55482.2 55482.2i −0.468483 0.468483i 0.432940 0.901423i \(-0.357476\pi\)
−0.901423 + 0.432940i \(0.857476\pi\)
\(108\) 16717.3 + 77918.3i 0.137914 + 0.642806i
\(109\) −71569.6 + 71569.6i −0.576982 + 0.576982i −0.934071 0.357089i \(-0.883769\pi\)
0.357089 + 0.934071i \(0.383769\pi\)
\(110\) 15214.0 51541.8i 0.119884 0.406142i
\(111\) 21850.0 0.168324
\(112\) −19023.6 + 8556.89i −0.143301 + 0.0644571i
\(113\) 56679.7 0.417572 0.208786 0.977961i \(-0.433049\pi\)
0.208786 + 0.977961i \(0.433049\pi\)
\(114\) 4578.39 15510.7i 0.0329952 0.111781i
\(115\) 63786.2 63786.2i 0.449762 0.449762i
\(116\) −263615. + 56558.5i −1.81897 + 0.390259i
\(117\) 132567. + 132567.i 0.895307 + 0.895307i
\(118\) 32142.8 + 59065.3i 0.212509 + 0.390506i
\(119\) 42666.8i 0.276200i
\(120\) 16097.7 + 18739.3i 0.102050 + 0.118796i
\(121\) 16649.9i 0.103383i
\(122\) 193578. 105343.i 1.17749 0.640777i
\(123\) 11284.9 + 11284.9i 0.0672569 + 0.0672569i
\(124\) −277144. 179230.i −1.61865 1.04678i
\(125\) 11048.5 11048.5i 0.0632456 0.0632456i
\(126\) 23562.7 + 6955.18i 0.132221 + 0.0390285i
\(127\) −12378.2 −0.0681002 −0.0340501 0.999420i \(-0.510841\pi\)
−0.0340501 + 0.999420i \(0.510841\pi\)
\(128\) 78683.4 167835.i 0.424481 0.905437i
\(129\) −54874.0 −0.290330
\(130\) 119272. + 35206.4i 0.618984 + 0.182710i
\(131\) 106355. 106355.i 0.541476 0.541476i −0.382485 0.923962i \(-0.624932\pi\)
0.923962 + 0.382485i \(0.124932\pi\)
\(132\) −55740.3 36047.3i −0.278442 0.180069i
\(133\) −7543.59 7543.59i −0.0369785 0.0369785i
\(134\) −349920. + 190423.i −1.68348 + 0.916132i
\(135\) 62258.9i 0.294014i
\(136\) 247062. + 287603.i 1.14540 + 1.33336i
\(137\) 12703.6i 0.0578264i −0.999582 0.0289132i \(-0.990795\pi\)
0.999582 0.0289132i \(-0.00920465\pi\)
\(138\) −53260.8 97871.6i −0.238073 0.437481i
\(139\) 94848.3 + 94848.3i 0.416383 + 0.416383i 0.883955 0.467572i \(-0.154871\pi\)
−0.467572 + 0.883955i \(0.654871\pi\)
\(140\) 15933.9 3418.60i 0.0687070 0.0147410i
\(141\) −1815.96 + 1815.96i −0.00769235 + 0.00769235i
\(142\) −112456. + 380976.i −0.468015 + 1.58554i
\(143\) −334156. −1.36650
\(144\) −199103. + 89557.1i −0.800149 + 0.359910i
\(145\) 210636. 0.831980
\(146\) 87245.8 295571.i 0.338737 1.14757i
\(147\) 63273.8 63273.8i 0.241508 0.241508i
\(148\) 26869.0 + 125234.i 0.100832 + 0.469969i
\(149\) 227916. + 227916.i 0.841026 + 0.841026i 0.988992 0.147966i \(-0.0472727\pi\)
−0.147966 + 0.988992i \(0.547273\pi\)
\(150\) −9225.40 16952.5i −0.0334778 0.0615186i
\(151\) 17188.0i 0.0613454i −0.999529 0.0306727i \(-0.990235\pi\)
0.999529 0.0306727i \(-0.00976496\pi\)
\(152\) 94530.0 + 7167.82i 0.331864 + 0.0251639i
\(153\) 446554.i 1.54222i
\(154\) −38462.5 + 20930.9i −0.130688 + 0.0711191i
\(155\) 182328. + 182328.i 0.609571 + 0.609571i
\(156\) 83416.4 128988.i 0.274435 0.424362i
\(157\) −36276.9 + 36276.9i −0.117458 + 0.117458i −0.763393 0.645935i \(-0.776468\pi\)
0.645935 + 0.763393i \(0.276468\pi\)
\(158\) 375708. + 110900.i 1.19731 + 0.353419i
\(159\) −45812.4 −0.143711
\(160\) −87609.7 + 115309.i −0.270553 + 0.356092i
\(161\) −73503.1 −0.223481
\(162\) 207322. + 61196.8i 0.620666 + 0.183207i
\(163\) −41418.5 + 41418.5i −0.122103 + 0.122103i −0.765518 0.643415i \(-0.777517\pi\)
0.643415 + 0.765518i \(0.277517\pi\)
\(164\) −50803.1 + 78557.2i −0.147496 + 0.228074i
\(165\) 36670.5 + 36670.5i 0.104859 + 0.104859i
\(166\) 152181. 82815.5i 0.428638 0.233260i
\(167\) 400566.i 1.11143i −0.831372 0.555717i \(-0.812444\pi\)
0.831372 0.555717i \(-0.187556\pi\)
\(168\) 1521.97 20072.0i 0.00416039 0.0548677i
\(169\) 401971.i 1.08262i
\(170\) −141588. 260181.i −0.375754 0.690483i
\(171\) −78951.8 78951.8i −0.206477 0.206477i
\(172\) −67478.4 314512.i −0.173918 0.810619i
\(173\) −241650. + 241650.i −0.613862 + 0.613862i −0.943950 0.330088i \(-0.892922\pi\)
0.330088 + 0.943950i \(0.392922\pi\)
\(174\) 73657.4 249536.i 0.184435 0.624828i
\(175\) −12731.6 −0.0314260
\(176\) 138063. 363805.i 0.335966 0.885293i
\(177\) −64891.9 −0.155689
\(178\) −5330.61 + 18059.0i −0.0126103 + 0.0427212i
\(179\) 143567. 143567.i 0.334905 0.334905i −0.519541 0.854446i \(-0.673897\pi\)
0.854446 + 0.519541i \(0.173897\pi\)
\(180\) 166765. 35779.4i 0.383640 0.0823097i
\(181\) 189284. + 189284.i 0.429454 + 0.429454i 0.888442 0.458988i \(-0.151788\pi\)
−0.458988 + 0.888442i \(0.651788\pi\)
\(182\) −48435.8 89005.3i −0.108390 0.199176i
\(183\) 212674.i 0.469446i
\(184\) 495460. 425619.i 1.07886 0.926779i
\(185\) 100066.i 0.214960i
\(186\) 279758. 152242.i 0.592926 0.322665i
\(187\) 562804. + 562804.i 1.17694 + 1.17694i
\(188\) −12641.3 8175.17i −0.0260855 0.0168695i
\(189\) −35871.6 + 35871.6i −0.0730459 + 0.0730459i
\(190\) −71033.6 20967.5i −0.142751 0.0421369i
\(191\) −218440. −0.433259 −0.216630 0.976254i \(-0.569506\pi\)
−0.216630 + 0.976254i \(0.569506\pi\)
\(192\) 105967. + 144112.i 0.207453 + 0.282128i
\(193\) −627669. −1.21293 −0.606467 0.795109i \(-0.707414\pi\)
−0.606467 + 0.795109i \(0.707414\pi\)
\(194\) −697968. 206024.i −1.33147 0.393020i
\(195\) −84858.4 + 84858.4i −0.159812 + 0.159812i
\(196\) 440464. + 284849.i 0.818975 + 0.529632i
\(197\) −145767. 145767.i −0.267605 0.267605i 0.560530 0.828134i \(-0.310598\pi\)
−0.828134 + 0.560530i \(0.810598\pi\)
\(198\) −402552. + 219065.i −0.729724 + 0.397109i
\(199\) 874377.i 1.56519i 0.622534 + 0.782593i \(0.286103\pi\)
−0.622534 + 0.782593i \(0.713897\pi\)
\(200\) 85819.7 73722.3i 0.151709 0.130324i
\(201\) 384439.i 0.671177i
\(202\) −24940.4 45830.3i −0.0430056 0.0790268i
\(203\) −121362. 121362.i −0.206701 0.206701i
\(204\) −357742. + 76753.4i −0.601859 + 0.129129i
\(205\) 51681.3 51681.3i 0.0858912 0.0858912i
\(206\) −221606. + 750755.i −0.363842 + 1.23262i
\(207\) −769289. −1.24785
\(208\) 841874. + 319489.i 1.34924 + 0.512032i
\(209\) 199010. 0.315144
\(210\) −4452.12 + 15082.9i −0.00696657 + 0.0236013i
\(211\) 278056. 278056.i 0.429958 0.429958i −0.458656 0.888614i \(-0.651669\pi\)
0.888614 + 0.458656i \(0.151669\pi\)
\(212\) −56335.4 262576.i −0.0860879 0.401250i
\(213\) −271053. 271053.i −0.409361 0.409361i
\(214\) 212162. + 389867.i 0.316689 + 0.581946i
\(215\) 251304.i 0.370770i
\(216\) 34084.7 449512.i 0.0497078 0.655552i
\(217\) 210103.i 0.302888i
\(218\) 502912. 273680.i 0.716722 0.390033i
\(219\) 210290. + 210290.i 0.296284 + 0.296284i
\(220\) −165085. + 255272.i −0.229959 + 0.355587i
\(221\) −1.30237e6 + 1.30237e6i −1.79372 + 1.79372i
\(222\) −118546. 34992.1i −0.161437 0.0476527i
\(223\) −1.12642e6 −1.51684 −0.758420 0.651767i \(-0.774028\pi\)
−0.758420 + 0.651767i \(0.774028\pi\)
\(224\) 116915. 15959.2i 0.155686 0.0212516i
\(225\) −133250. −0.175473
\(226\) −307512. 90770.5i −0.400489 0.118215i
\(227\) −290194. + 290194.i −0.373787 + 0.373787i −0.868854 0.495068i \(-0.835143\pi\)
0.495068 + 0.868854i \(0.335143\pi\)
\(228\) −49679.5 + 76819.8i −0.0632907 + 0.0978670i
\(229\) 726941. + 726941.i 0.916031 + 0.916031i 0.996738 0.0807066i \(-0.0257177\pi\)
−0.0807066 + 0.996738i \(0.525718\pi\)
\(230\) −448219. + 243916.i −0.558690 + 0.304034i
\(231\) 42256.7i 0.0521033i
\(232\) 1.52080e6 + 115316.i 1.85504 + 0.140660i
\(233\) 929560.i 1.12173i −0.827908 0.560864i \(-0.810469\pi\)
0.827908 0.560864i \(-0.189531\pi\)
\(234\) −506933. 931537.i −0.605217 1.11214i
\(235\) 8316.50 + 8316.50i 0.00982360 + 0.00982360i
\(236\) −79797.4 371930.i −0.0932629 0.434692i
\(237\) −267305. + 267305.i −0.309127 + 0.309127i
\(238\) −68329.4 + 231486.i −0.0781925 + 0.264900i
\(239\) 743046. 0.841436 0.420718 0.907192i \(-0.361778\pi\)
0.420718 + 0.907192i \(0.361778\pi\)
\(240\) −57326.9 127449.i −0.0642437 0.142826i
\(241\) −226030. −0.250682 −0.125341 0.992114i \(-0.540003\pi\)
−0.125341 + 0.992114i \(0.540003\pi\)
\(242\) −26664.3 + 90333.0i −0.0292679 + 0.0991535i
\(243\) −575414. + 575414.i −0.625122 + 0.625122i
\(244\) −1.21895e6 + 261524.i −1.31072 + 0.281214i
\(245\) −289773. 289773.i −0.308420 0.308420i
\(246\) −43153.3 79298.1i −0.0454649 0.0835459i
\(247\) 460525.i 0.480298i
\(248\) 1.21660e6 + 1.41623e6i 1.25608 + 1.46220i
\(249\) 167193.i 0.170891i
\(250\) −77637.0 + 42249.3i −0.0785631 + 0.0427533i
\(251\) 904818. + 904818.i 0.906519 + 0.906519i 0.995989 0.0894704i \(-0.0285175\pi\)
−0.0894704 + 0.995989i \(0.528517\pi\)
\(252\) −116700. 75469.8i −0.115762 0.0748638i
\(253\) 969554. 969554.i 0.952294 0.952294i
\(254\) 67157.1 + 19823.3i 0.0653142 + 0.0192793i
\(255\) 285847. 0.275285
\(256\) −695674. + 784570.i −0.663446 + 0.748224i
\(257\) −296966. −0.280462 −0.140231 0.990119i \(-0.544785\pi\)
−0.140231 + 0.990119i \(0.544785\pi\)
\(258\) 297715. + 87878.7i 0.278453 + 0.0821929i
\(259\) −57654.7 + 57654.7i −0.0534054 + 0.0534054i
\(260\) −590720. 382019.i −0.541936 0.350471i
\(261\) −1.27018e6 1.27018e6i −1.15416 1.15416i
\(262\) −747345. + 406698.i −0.672617 + 0.366032i
\(263\) 1.00748e6i 0.898144i 0.893495 + 0.449072i \(0.148245\pi\)
−0.893495 + 0.449072i \(0.851755\pi\)
\(264\) 244687. + 284838.i 0.216073 + 0.251529i
\(265\) 209806.i 0.183528i
\(266\) 28846.5 + 53008.0i 0.0249970 + 0.0459344i
\(267\) −12848.4 12848.4i −0.0110299 0.0110299i
\(268\) 2.20343e6 472743.i 1.87396 0.402058i
\(269\) 612624. 612624.i 0.516195 0.516195i −0.400223 0.916418i \(-0.631067\pi\)
0.916418 + 0.400223i \(0.131067\pi\)
\(270\) −99705.5 + 337782.i −0.0832357 + 0.281985i
\(271\) −1.44682e6 −1.19672 −0.598358 0.801229i \(-0.704180\pi\)
−0.598358 + 0.801229i \(0.704180\pi\)
\(272\) −879831. 1.95603e6i −0.721069 1.60307i
\(273\) 97785.3 0.0794085
\(274\) −20344.4 + 68922.7i −0.0163708 + 0.0554608i
\(275\) 167938. 167938.i 0.133912 0.133912i
\(276\) 132225. + 616291.i 0.104482 + 0.486982i
\(277\) −134739. 134739.i −0.105510 0.105510i 0.652381 0.757891i \(-0.273770\pi\)
−0.757891 + 0.652381i \(0.773770\pi\)
\(278\) −362697. 666489.i −0.281470 0.517227i
\(279\) 2.19895e6i 1.69124i
\(280\) −91922.9 6970.14i −0.0700694 0.00531308i
\(281\) 718447.i 0.542786i −0.962469 0.271393i \(-0.912516\pi\)
0.962469 0.271393i \(-0.0874844\pi\)
\(282\) 12760.6 6944.18i 0.00955537 0.00519994i
\(283\) 23252.5 + 23252.5i 0.0172585 + 0.0172585i 0.715683 0.698425i \(-0.246115\pi\)
−0.698425 + 0.715683i \(0.746115\pi\)
\(284\) 1.22024e6 1.88687e6i 0.897738 1.38818i
\(285\) 50538.3 50538.3i 0.0368560 0.0368560i
\(286\) 1.81294e6 + 535139.i 1.31059 + 0.386858i
\(287\) −59554.1 −0.0426783
\(288\) 1.22364e6 167030.i 0.869306 0.118663i
\(289\) 2.96720e6 2.08979
\(290\) −1.14279e6 337326.i −0.797944 0.235535i
\(291\) 496584. 496584.i 0.343764 0.343764i
\(292\) −946692. + 1.46388e6i −0.649758 + 1.00473i
\(293\) 509773. + 509773.i 0.346903 + 0.346903i 0.858954 0.512052i \(-0.171114\pi\)
−0.512052 + 0.858954i \(0.671114\pi\)
\(294\) −444619. + 241957.i −0.299999 + 0.163256i
\(295\) 297183.i 0.198824i
\(296\) 54782.7 722481.i 0.0363425 0.479288i
\(297\) 946339.i 0.622524i
\(298\) −871544. 1.60154e6i −0.568524 1.04472i
\(299\) 2.24363e6 + 2.24363e6i 1.45135 + 1.45135i
\(300\) 22902.9 + 106749.i 0.0146922 + 0.0684795i
\(301\) 144793. 144793.i 0.0921155 0.0921155i
\(302\) −27525.9 + 93252.2i −0.0173670 + 0.0588358i
\(303\) 50351.3 0.0315068
\(304\) −501387. 190275.i −0.311164 0.118086i
\(305\) 973974. 0.599512
\(306\) −715141. + 2.42275e6i −0.436604 + 1.47913i
\(307\) 1.48996e6 1.48996e6i 0.902253 0.902253i −0.0933775 0.995631i \(-0.529766\pi\)
0.995631 + 0.0933775i \(0.0297663\pi\)
\(308\) 242196. 51962.9i 0.145475 0.0312117i
\(309\) −534140. 534140.i −0.318243 0.318243i
\(310\) −697216. 1.28120e6i −0.412063 0.757203i
\(311\) 431469.i 0.252958i −0.991969 0.126479i \(-0.959632\pi\)
0.991969 0.126479i \(-0.0403676\pi\)
\(312\) −659139. + 566225.i −0.383346 + 0.329308i
\(313\) 1.81612e6i 1.04781i −0.851776 0.523906i \(-0.824474\pi\)
0.851776 0.523906i \(-0.175526\pi\)
\(314\) 254914. 138722.i 0.145905 0.0794000i
\(315\) 76774.4 + 76774.4i 0.0435953 + 0.0435953i
\(316\) −1.86077e6 1.20337e6i −1.04828 0.677922i
\(317\) 735496. 735496.i 0.411086 0.411086i −0.471031 0.882117i \(-0.656118\pi\)
0.882117 + 0.471031i \(0.156118\pi\)
\(318\) 248552. + 73366.9i 0.137832 + 0.0406848i
\(319\) 3.20168e6 1.76158
\(320\) 659983. 485295.i 0.360295 0.264930i
\(321\) −428326. −0.232013
\(322\) 398786. + 117713.i 0.214339 + 0.0632679i
\(323\) 775642. 775642.i 0.413671 0.413671i
\(324\) −1.02681e6 664038.i −0.543409 0.351423i
\(325\) 388623. + 388623.i 0.204089 + 0.204089i
\(326\) 291043. 158383.i 0.151675 0.0825400i
\(327\) 552522.i 0.285746i
\(328\) 401435. 344848.i 0.206030 0.176987i
\(329\) 9583.39i 0.00488123i
\(330\) −140227. 257680.i −0.0708836 0.130255i
\(331\) −1.14396e6 1.14396e6i −0.573907 0.573907i 0.359311 0.933218i \(-0.383012\pi\)
−0.933218 + 0.359311i \(0.883012\pi\)
\(332\) −958274. + 205597.i −0.477139 + 0.102370i
\(333\) −603419. + 603419.i −0.298200 + 0.298200i
\(334\) −641493. + 2.17325e6i −0.314648 + 1.06596i
\(335\) −1.76060e6 −0.857134
\(336\) −40401.9 + 106462.i −0.0195233 + 0.0514452i
\(337\) −3.71312e6 −1.78100 −0.890500 0.454983i \(-0.849645\pi\)
−0.890500 + 0.454983i \(0.849645\pi\)
\(338\) −643742. + 2.18086e6i −0.306493 + 1.03833i
\(339\) 218785. 218785.i 0.103400 0.103400i
\(340\) 351505. + 1.63834e6i 0.164905 + 0.768612i
\(341\) 2.77140e6 + 2.77140e6i 1.29066 + 1.29066i
\(342\) 301909. + 554786.i 0.139576 + 0.256484i
\(343\) 676284.i 0.310380i
\(344\) −137581. + 1.81443e6i −0.0626847 + 0.826693i
\(345\) 492434.i 0.222741i
\(346\) 1.69805e6 924060.i 0.762534 0.414964i
\(347\) −2.30050e6 2.30050e6i −1.02565 1.02565i −0.999662 0.0259845i \(-0.991728\pi\)
−0.0259845 0.999662i \(-0.508272\pi\)
\(348\) −799246. + 1.23588e6i −0.353779 + 0.547052i
\(349\) −458011. + 458011.i −0.201286 + 0.201286i −0.800551 0.599265i \(-0.795460\pi\)
0.599265 + 0.800551i \(0.295460\pi\)
\(350\) 69074.5 + 20389.2i 0.0301403 + 0.00889674i
\(351\) 2.18991e6 0.948763
\(352\) −1.33167e6 + 1.75270e6i −0.572850 + 0.753963i
\(353\) 1.98245e6 0.846768 0.423384 0.905950i \(-0.360842\pi\)
0.423384 + 0.905950i \(0.360842\pi\)
\(354\) 352066. + 103922.i 0.149319 + 0.0440757i
\(355\) −1.24133e6 + 1.24133e6i −0.522779 + 0.522779i
\(356\) 57841.7 89441.1i 0.0241889 0.0374035i
\(357\) −164695. 164695.i −0.0683929 0.0683929i
\(358\) −1.00883e6 + 548995.i −0.416016 + 0.226392i
\(359\) 3.42438e6i 1.40232i 0.713006 + 0.701158i \(0.247333\pi\)
−0.713006 + 0.701158i \(0.752667\pi\)
\(360\) −962072. 72950.0i −0.391247 0.0296667i
\(361\) 2.20183e6i 0.889233i
\(362\) −723814. 1.33008e6i −0.290306 0.533464i
\(363\) −64269.3 64269.3i −0.0255998 0.0255998i
\(364\) 120246. + 560461.i 0.0475684 + 0.221713i
\(365\) 963057. 963057.i 0.378373 0.378373i
\(366\) 340589. 1.15385e6i 0.132901 0.450241i
\(367\) −553446. −0.214491 −0.107246 0.994233i \(-0.534203\pi\)
−0.107246 + 0.994233i \(0.534203\pi\)
\(368\) −3.36970e6 + 1.51570e6i −1.29709 + 0.583438i
\(369\) −623298. −0.238303
\(370\) −160252. + 542901.i −0.0608554 + 0.206166i
\(371\) 120883. 120883.i 0.0455964 0.0455964i
\(372\) −1.76162e6 + 377954.i −0.660016 + 0.141606i
\(373\) −1.82003e6 1.82003e6i −0.677341 0.677341i 0.282057 0.959398i \(-0.408983\pi\)
−0.959398 + 0.282057i \(0.908983\pi\)
\(374\) −2.15214e6 3.95476e6i −0.795595 1.46198i
\(375\) 85295.5i 0.0313219i
\(376\) 55492.5 + 64598.5i 0.0202425 + 0.0235642i
\(377\) 7.40895e6i 2.68475i
\(378\) 252066. 137172.i 0.0907370 0.0493782i
\(379\) −3.47422e6 3.47422e6i −1.24239 1.24239i −0.959005 0.283388i \(-0.908542\pi\)
−0.283388 0.959005i \(-0.591458\pi\)
\(380\) 351809. + 227516.i 0.124982 + 0.0808262i
\(381\) −47780.3 + 47780.3i −0.0168631 + 0.0168631i
\(382\) 1.18513e6 + 349823.i 0.415535 + 0.122656i
\(383\) −1.64390e6 −0.572634 −0.286317 0.958135i \(-0.592431\pi\)
−0.286317 + 0.958135i \(0.592431\pi\)
\(384\) −344129. 951570.i −0.119095 0.329316i
\(385\) −193521. −0.0665391
\(386\) 3.40537e6 + 1.00519e6i 1.16331 + 0.343383i
\(387\) 1.51542e6 1.51542e6i 0.514346 0.514346i
\(388\) 3.45684e6 + 2.23554e6i 1.16574 + 0.753883i
\(389\) 1.26514e6 + 1.26514e6i 0.423902 + 0.423902i 0.886545 0.462643i \(-0.153099\pi\)
−0.462643 + 0.886545i \(0.653099\pi\)
\(390\) 596291. 324496.i 0.198517 0.108031i
\(391\) 7.55768e6i 2.50004i
\(392\) −1.93353e6 2.25082e6i −0.635531 0.739818i
\(393\) 821068.i 0.268162i
\(394\) 557408. + 1.02429e6i 0.180898 + 0.332416i
\(395\) 1.22417e6 + 1.22417e6i 0.394774 + 0.394774i
\(396\) 2.53484e6 543848.i 0.812293 0.174277i
\(397\) −881275. + 881275.i −0.280631 + 0.280631i −0.833361 0.552730i \(-0.813586\pi\)
0.552730 + 0.833361i \(0.313586\pi\)
\(398\) 1.40028e6 4.74387e6i 0.443107 1.50115i
\(399\) −58237.1 −0.0183133
\(400\) −583673. + 262538.i −0.182398 + 0.0820432i
\(401\) −1.43364e6 −0.445225 −0.222613 0.974907i \(-0.571459\pi\)
−0.222613 + 0.974907i \(0.571459\pi\)
\(402\) −615665. + 2.08575e6i −0.190011 + 0.643719i
\(403\) −6.41323e6 + 6.41323e6i −1.96705 + 1.96705i
\(404\) 61916.9 + 288590.i 0.0188736 + 0.0879688i
\(405\) 675517. + 675517.i 0.204644 + 0.204644i
\(406\) 464083. + 852796.i 0.139727 + 0.256762i
\(407\) 1.52101e6i 0.455140i
\(408\) 2.06383e6 + 156491.i 0.613794 + 0.0465415i
\(409\) 2.61233e6i 0.772182i 0.922461 + 0.386091i \(0.126175\pi\)
−0.922461 + 0.386091i \(0.873825\pi\)
\(410\) −363159. + 197628.i −0.106693 + 0.0580615i
\(411\) −49036.5 49036.5i −0.0143191 0.0143191i
\(412\) 2.40461e6 3.71828e6i 0.697915 1.07919i
\(413\) 171227. 171227.i 0.0493967 0.0493967i
\(414\) 4.17373e6 + 1.23199e6i 1.19680 + 0.353269i
\(415\) 765689. 0.218239
\(416\) −4.05588e6 3.08160e6i −1.14908 0.873057i
\(417\) 732235. 0.206210
\(418\) −1.07971e6 318707.i −0.302251 0.0892177i
\(419\) 1.79144e6 1.79144e6i 0.498502 0.498502i −0.412470 0.910971i \(-0.635334\pi\)
0.910971 + 0.412470i \(0.135334\pi\)
\(420\) 48309.4 74701.2i 0.0133631 0.0206635i
\(421\) −1.02803e6 1.02803e6i −0.282684 0.282684i 0.551494 0.834179i \(-0.314058\pi\)
−0.834179 + 0.551494i \(0.814058\pi\)
\(422\) −1.95387e6 + 1.06328e6i −0.534090 + 0.290647i
\(423\) 100301.i 0.0272554i
\(424\) −114862. + 1.51481e6i −0.0310284 + 0.409206i
\(425\) 1.30908e6i 0.351556i
\(426\) 1.03650e6 + 1.90466e6i 0.276723 + 0.508504i
\(427\) −561172. 561172.i −0.148945 0.148945i
\(428\) −526712. 2.45497e6i −0.138984 0.647793i
\(429\) −1.28985e6 + 1.28985e6i −0.338374 + 0.338374i
\(430\) 402455. 1.36344e6i 0.104965 0.355601i
\(431\) 2.46985e6 0.640438 0.320219 0.947343i \(-0.396243\pi\)
0.320219 + 0.947343i \(0.396243\pi\)
\(432\) −904802. + 2.38421e6i −0.233262 + 0.614661i
\(433\) 2.37472e6 0.608685 0.304343 0.952563i \(-0.401563\pi\)
0.304343 + 0.952563i \(0.401563\pi\)
\(434\) −336472. + 1.13990e6i −0.0857482 + 0.290497i
\(435\) 813063. 813063.i 0.206016 0.206016i
\(436\) −3.16680e6 + 679435.i −0.797820 + 0.171172i
\(437\) −1.33622e6 1.33622e6i −0.334713 0.334713i
\(438\) −804142. 1.47769e6i −0.200284 0.368041i
\(439\) 2.14558e6i 0.531352i −0.964062 0.265676i \(-0.914405\pi\)
0.964062 0.265676i \(-0.0855952\pi\)
\(440\) 1.30446e6 1.12058e6i 0.321219 0.275939i
\(441\) 3.49479e6i 0.855705i
\(442\) 9.15164e6 4.98023e6i 2.22814 1.21253i
\(443\) −202439. 202439.i −0.0490100 0.0490100i 0.682177 0.731187i \(-0.261033\pi\)
−0.731187 + 0.682177i \(0.761033\pi\)
\(444\) 587124. + 379694.i 0.141342 + 0.0914064i
\(445\) −58841.6 + 58841.6i −0.0140859 + 0.0140859i
\(446\) 6.11133e6 + 1.80393e6i 1.45479 + 0.429420i
\(447\) 1.75953e6 0.416512
\(448\) −659872. 100649.i −0.155333 0.0236928i
\(449\) −7.11149e6 −1.66473 −0.832367 0.554225i \(-0.813015\pi\)
−0.832367 + 0.554225i \(0.813015\pi\)
\(450\) 722940. + 213395.i 0.168295 + 0.0496768i
\(451\) 785559. 785559.i 0.181860 0.181860i
\(452\) 1.52302e6 + 984938.i 0.350638 + 0.226758i
\(453\) −66346.2 66346.2i −0.0151904 0.0151904i
\(454\) 2.03916e6 1.10969e6i 0.464315 0.252675i
\(455\) 447824.i 0.101410i
\(456\) 392557. 337221.i 0.0884078 0.0759456i
\(457\) 3.03083e6i 0.678846i 0.940634 + 0.339423i \(0.110232\pi\)
−0.940634 + 0.339423i \(0.889768\pi\)
\(458\) −2.77980e6 5.10814e6i −0.619227 1.13789i
\(459\) −3.68836e6 3.68836e6i −0.817150 0.817150i
\(460\) 2.82241e6 605545.i 0.621906 0.133430i
\(461\) −4.79592e6 + 4.79592e6i −1.05104 + 1.05104i −0.0524147 + 0.998625i \(0.516692\pi\)
−0.998625 + 0.0524147i \(0.983308\pi\)
\(462\) −67672.5 + 229261.i −0.0147505 + 0.0499717i
\(463\) 3.25096e6 0.704789 0.352395 0.935851i \(-0.385367\pi\)
0.352395 + 0.935851i \(0.385367\pi\)
\(464\) −8.06634e6 3.06115e6i −1.73933 0.660070i
\(465\) 1.40758e6 0.301885
\(466\) −1.48866e6 + 5.04326e6i −0.317563 + 1.07584i
\(467\) −3.68299e6 + 3.68299e6i −0.781463 + 0.781463i −0.980078 0.198615i \(-0.936356\pi\)
0.198615 + 0.980078i \(0.436356\pi\)
\(468\) 1.25851e6 + 5.86583e6i 0.265608 + 1.23798i
\(469\) 1.01440e6 + 1.01440e6i 0.212950 + 0.212950i
\(470\) −31802.0 58439.2i −0.00664064 0.0122028i
\(471\) 280060.i 0.0581700i
\(472\) −162698. + 2.14568e6i −0.0336145 + 0.443312i
\(473\) 3.81984e6i 0.785041i
\(474\) 1.87832e6 1.02217e6i 0.383994 0.208966i
\(475\) −231449. 231449.i −0.0470674 0.0470674i
\(476\) 741433. 1.14648e6i 0.149987 0.231927i
\(477\) 1.26517e6 1.26517e6i 0.254597 0.254597i
\(478\) −4.03135e6 1.18996e6i −0.807013 0.238212i
\(479\) −629120. −0.125284 −0.0626419 0.998036i \(-0.519953\pi\)
−0.0626419 + 0.998036i \(0.519953\pi\)
\(480\) 106919. + 783271.i 0.0211812 + 0.155171i
\(481\) 3.51974e6 0.693661
\(482\) 1.22631e6 + 361979.i 0.240427 + 0.0709686i
\(483\) −283724. + 283724.i −0.0553387 + 0.0553387i
\(484\) 289330. 447394.i 0.0561410 0.0868114i
\(485\) −2.27419e6 2.27419e6i −0.439008 0.439008i
\(486\) 4.04338e6 2.20037e6i 0.776521 0.422575i
\(487\) 639056.i 0.122100i −0.998135 0.0610501i \(-0.980555\pi\)
0.998135 0.0610501i \(-0.0194450\pi\)
\(488\) 7.03214e6 + 533218.i 1.33671 + 0.101357i
\(489\) 319754.i 0.0604704i
\(490\) 1.10808e6 + 2.03621e6i 0.208488 + 0.383117i
\(491\) −306275. 306275.i −0.0573334 0.0573334i 0.677859 0.735192i \(-0.262908\pi\)
−0.735192 + 0.677859i \(0.762908\pi\)
\(492\) 107132. + 499335.i 0.0199529 + 0.0929992i
\(493\) 1.24786e7 1.24786e7i 2.31232 2.31232i
\(494\) 737514. 2.49855e6i 0.135973 0.460649i
\(495\) −2.02541e6 −0.371535
\(496\) −4.33252e6 9.63202e6i −0.790745 1.75798i
\(497\) 1.43043e6 0.259763
\(498\) 267754. 907095.i 0.0483796 0.163900i
\(499\) −3.63733e6 + 3.63733e6i −0.653931 + 0.653931i −0.953937 0.300007i \(-0.903011\pi\)
0.300007 + 0.953937i \(0.403011\pi\)
\(500\) 488875. 104888.i 0.0874526 0.0187629i
\(501\) −1.54620e6 1.54620e6i −0.275215 0.275215i
\(502\) −3.45999e6 6.35806e6i −0.612796 1.12607i
\(503\) 8.04809e6i 1.41832i 0.705050 + 0.709158i \(0.250925\pi\)
−0.705050 + 0.709158i \(0.749075\pi\)
\(504\) 512283. + 596346.i 0.0898326 + 0.104574i
\(505\) 230592.i 0.0402361i
\(506\) −6.81296e6 + 3.70754e6i −1.18293 + 0.643739i
\(507\) −1.55162e6 1.55162e6i −0.268081 0.268081i
\(508\) −332610. 215099.i −0.0571842 0.0369811i
\(509\) 2.18413e6 2.18413e6i 0.373666 0.373666i −0.495145 0.868811i \(-0.664885\pi\)
0.868811 + 0.495145i \(0.164885\pi\)
\(510\) −1.55084e6 457773.i −0.264023 0.0779336i
\(511\) −1.10976e6 −0.188009
\(512\) 5.03079e6 3.14253e6i 0.848128 0.529792i
\(513\) −1.30422e6 −0.218805
\(514\) 1.61117e6 + 475581.i 0.268989 + 0.0793993i
\(515\) −2.44618e6 + 2.44618e6i −0.406416 + 0.406416i
\(516\) −1.47450e6 953560.i −0.243792 0.157661i
\(517\) 126411. + 126411.i 0.0207998 + 0.0207998i
\(518\) 405134. 220470.i 0.0663398 0.0361015i
\(519\) 1.86555e6i 0.304011i
\(520\) 2.59312e6 + 3.01864e6i 0.420547 + 0.489556i
\(521\) 7.59494e6i 1.22583i 0.790149 + 0.612914i \(0.210003\pi\)
−0.790149 + 0.612914i \(0.789997\pi\)
\(522\) 4.85713e6 + 8.92543e6i 0.780196 + 1.43368i
\(523\) −7.40239e6 7.40239e6i −1.18336 1.18336i −0.978868 0.204495i \(-0.934445\pi\)
−0.204495 0.978868i \(-0.565555\pi\)
\(524\) 4.70598e6 1.00967e6i 0.748725 0.160638i
\(525\) −49144.5 + 49144.5i −0.00778174 + 0.00778174i
\(526\) 1.61344e6 5.46600e6i 0.254266 0.861401i
\(527\) 2.16030e7 3.38835
\(528\) −871372. 1.93723e6i −0.136025 0.302410i
\(529\) −6.58344e6 −1.02285
\(530\) 335996. 1.13829e6i 0.0519571 0.176020i
\(531\) 1.79208e6 1.79208e6i 0.275817 0.275817i
\(532\) −71614.0 333788.i −0.0109703 0.0511319i
\(533\) 1.81785e6 + 1.81785e6i 0.277165 + 0.277165i
\(534\) 49132.0 + 90284.7i 0.00745610 + 0.0137013i
\(535\) 1.96159e6i 0.296295i
\(536\) −1.27116e7 963870.i −1.91112 0.144913i
\(537\) 1.10835e6i 0.165859i
\(538\) −4.30485e6 + 2.34266e6i −0.641212 + 0.348942i
\(539\) −4.40457e6 4.40457e6i −0.653027 0.653027i
\(540\) 1.08189e6 1.67294e6i 0.159661 0.246885i
\(541\) −4.81695e6 + 4.81695e6i −0.707585 + 0.707585i −0.966027 0.258442i \(-0.916791\pi\)
0.258442 + 0.966027i \(0.416791\pi\)
\(542\) 7.84963e6 + 2.31703e6i 1.14776 + 0.338792i
\(543\) 1.46128e6 0.212684
\(544\) 1.64095e6 + 1.20213e7i 0.237737 + 1.74163i
\(545\) 2.53037e6 0.364915
\(546\) −530528. 156600.i −0.0761599 0.0224807i
\(547\) 6.11181e6 6.11181e6i 0.873377 0.873377i −0.119462 0.992839i \(-0.538117\pi\)
0.992839 + 0.119462i \(0.0381169\pi\)
\(548\) 220754. 341355.i 0.0314021 0.0485573i
\(549\) −5.87327e6 5.87327e6i −0.831667 0.831667i
\(550\) −1.18009e6 + 642191.i −0.166344 + 0.0905228i
\(551\) 4.41248e6i 0.619161i
\(552\) 269591. 3.55540e6i 0.0376581 0.496639i
\(553\) 1.41065e6i 0.196158i
\(554\) 515238. + 946799.i 0.0713237 + 0.131064i
\(555\) −386258. 386258.i −0.0532286 0.0532286i
\(556\) 900428. + 4.19684e6i 0.123527 + 0.575752i
\(557\) 3.95240e6 3.95240e6i 0.539788 0.539788i −0.383679 0.923467i \(-0.625343\pi\)
0.923467 + 0.383679i \(0.125343\pi\)
\(558\) −3.52154e6 + 1.19303e7i −0.478793 + 1.62205i
\(559\) −8.83943e6 −1.19645
\(560\) 487559. + 185027.i 0.0656988 + 0.0249325i
\(561\) 4.34488e6 0.582869
\(562\) −1.15057e6 + 3.89789e6i −0.153664 + 0.520581i
\(563\) −1.30447e6 + 1.30447e6i −0.173445 + 0.173445i −0.788491 0.615046i \(-0.789137\pi\)
0.615046 + 0.788491i \(0.289137\pi\)
\(564\) −80352.5 + 17239.6i −0.0106366 + 0.00228207i
\(565\) −1.00196e6 1.00196e6i −0.132048 0.132048i
\(566\) −88916.9 163393.i −0.0116666 0.0214384i
\(567\) 778422.i 0.101685i
\(568\) −9.64208e6 + 8.28290e6i −1.25401 + 1.07724i
\(569\) 259548.i 0.0336075i −0.999859 0.0168038i \(-0.994651\pi\)
0.999859 0.0168038i \(-0.00534906\pi\)
\(570\) −355127. + 193257.i −0.0457822 + 0.0249142i
\(571\) 8.20992e6 + 8.20992e6i 1.05378 + 1.05378i 0.998469 + 0.0553069i \(0.0176137\pi\)
0.0553069 + 0.998469i \(0.482386\pi\)
\(572\) −8.97898e6 5.80672e6i −1.14746 0.742063i
\(573\) −843184. + 843184.i −0.107284 + 0.107284i
\(574\) 323107. + 95373.8i 0.0409323 + 0.0120823i
\(575\) −2.25518e6 −0.284454
\(576\) −6.90627e6 1.05341e6i −0.867336 0.132294i
\(577\) −32512.1 −0.00406542 −0.00203271 0.999998i \(-0.500647\pi\)
−0.00203271 + 0.999998i \(0.500647\pi\)
\(578\) −1.60984e7 4.75187e6i −2.00430 0.591623i
\(579\) −2.42282e6 + 2.42282e6i −0.300348 + 0.300348i
\(580\) 5.65993e6 + 3.66028e6i 0.698620 + 0.451798i
\(581\) −441165. 441165.i −0.0542201 0.0542201i
\(582\) −3.48944e6 + 1.89892e6i −0.427020 + 0.232380i
\(583\) 3.18906e6i 0.388589i
\(584\) 7.48056e6 6.42608e6i 0.907616 0.779676i
\(585\) 4.68696e6i 0.566242i
\(586\) −1.94935e6 3.58212e6i −0.234502 0.430919i
\(587\) 7.33552e6 + 7.33552e6i 0.878690 + 0.878690i 0.993399 0.114709i \(-0.0365936\pi\)
−0.114709 + 0.993399i \(0.536594\pi\)
\(588\) 2.79973e6 600681.i 0.333944 0.0716474i
\(589\) 3.81947e6 3.81947e6i 0.453643 0.453643i
\(590\) 475928. 1.61235e6i 0.0562874 0.190690i
\(591\) −1.12533e6 −0.132529
\(592\) −1.45425e6 + 3.83204e6i −0.170543 + 0.449392i
\(593\) 3.74815e6 0.437704 0.218852 0.975758i \(-0.429769\pi\)
0.218852 + 0.975758i \(0.429769\pi\)
\(594\) −1.51553e6 + 5.13430e6i −0.176237 + 0.597056i
\(595\) −754250. + 754250.i −0.0873420 + 0.0873420i
\(596\) 2.16369e6 + 1.00848e7i 0.249505 + 1.16293i
\(597\) 3.37512e6 + 3.37512e6i 0.387573 + 0.387573i
\(598\) −8.57956e6 1.57657e7i −0.981097 1.80286i
\(599\) 32116.0i 0.00365725i −0.999998 0.00182862i \(-0.999418\pi\)
0.999998 0.00182862i \(-0.000582069\pi\)
\(600\) 46696.4 615838.i 0.00529548 0.0698374i
\(601\) 1.53233e7i 1.73047i −0.501364 0.865236i \(-0.667168\pi\)
0.501364 0.865236i \(-0.332832\pi\)
\(602\) −1.01745e6 + 553685.i −0.114425 + 0.0622690i
\(603\) 1.06168e7 + 1.06168e7i 1.18905 + 1.18905i
\(604\) 298680. 461852.i 0.0333130 0.0515122i
\(605\) −294332. + 294332.i −0.0326925 + 0.0326925i
\(606\) −273177. 80635.8i −0.0302178 0.00891962i
\(607\) −9.26259e6 −1.02038 −0.510189 0.860063i \(-0.670424\pi\)
−0.510189 + 0.860063i \(0.670424\pi\)
\(608\) 2.41552e6 + 1.83528e6i 0.265004 + 0.201346i
\(609\) −936921. −0.102367
\(610\) −5.28423e6 1.55978e6i −0.574986 0.169723i
\(611\) −292526. + 292526.i −0.0317001 + 0.0317001i
\(612\) 7.75990e6 1.19992e7i 0.837486 1.29501i
\(613\) −4.22409e6 4.22409e6i −0.454027 0.454027i 0.442662 0.896689i \(-0.354034\pi\)
−0.896689 + 0.442662i \(0.854034\pi\)
\(614\) −1.04698e7 + 5.69756e6i −1.12077 + 0.609913i
\(615\) 398983.i 0.0425370i
\(616\) −1.39723e6 105946.i −0.148360 0.0112495i
\(617\) 1.06955e7i 1.13107i 0.824725 + 0.565534i \(0.191330\pi\)
−0.824725 + 0.565534i \(0.808670\pi\)
\(618\) 2.04253e6 + 3.75335e6i 0.215129 + 0.395319i
\(619\) 1.29776e6 + 1.29776e6i 0.136135 + 0.136135i 0.771890 0.635756i \(-0.219311\pi\)
−0.635756 + 0.771890i \(0.719311\pi\)
\(620\) 1.73090e6 + 8.06763e6i 0.180840 + 0.842882i
\(621\) −6.35402e6 + 6.35402e6i −0.661180 + 0.661180i
\(622\) −690982. + 2.34090e6i −0.0716128 + 0.242609i
\(623\) 67805.2 0.00699911
\(624\) 4.48290e6 2.01643e6i 0.460891 0.207310i
\(625\) −390625. −0.0400000
\(626\) −2.90845e6 + 9.85323e6i −0.296637 + 1.00495i
\(627\) 768185. 768185.i 0.0780364 0.0780364i
\(628\) −1.60518e6 + 344390.i −0.162414 + 0.0348458i
\(629\) −5.92813e6 5.92813e6i −0.597436 0.597436i
\(630\) −293583. 539486.i −0.0294699 0.0541538i
\(631\) 1.23969e6i 0.123948i −0.998078 0.0619738i \(-0.980260\pi\)
0.998078 0.0619738i \(-0.0197395\pi\)
\(632\) 8.16836e6 + 9.50874e6i 0.813471 + 0.946957i
\(633\) 2.14661e6i 0.212934i
\(634\) −5.16825e6 + 2.81251e6i −0.510647 + 0.277889i
\(635\) 218818. + 218818.i 0.0215352 + 0.0215352i
\(636\) −1.23101e6 796095.i −0.120675 0.0780408i
\(637\) 1.01925e7 1.01925e7i 0.995252 0.995252i
\(638\) −1.73705e7 5.12738e6i −1.68951 0.498705i
\(639\) 1.49710e7 1.45044
\(640\) −4.35787e6 + 1.57600e6i −0.420557 + 0.152092i
\(641\) 3.96999e6 0.381632 0.190816 0.981626i \(-0.438887\pi\)
0.190816 + 0.981626i \(0.438887\pi\)
\(642\) 2.32385e6 + 685949.i 0.222521 + 0.0656832i
\(643\) −5.11306e6 + 5.11306e6i −0.487701 + 0.487701i −0.907580 0.419879i \(-0.862072\pi\)
0.419879 + 0.907580i \(0.362072\pi\)
\(644\) −1.97507e6 1.27728e6i −0.187659 0.121359i
\(645\) 970044. + 970044.i 0.0918105 + 0.0918105i
\(646\) −5.45035e6 + 2.96603e6i −0.513858 + 0.279637i
\(647\) 1.08958e7i 1.02329i 0.859196 + 0.511646i \(0.170964\pi\)
−0.859196 + 0.511646i \(0.829036\pi\)
\(648\) 4.50744e6 + 5.24709e6i 0.421689 + 0.490886i
\(649\) 4.51720e6i 0.420976i
\(650\) −1.48608e6 2.73082e6i −0.137962 0.253518i
\(651\) −811004. 811004.i −0.0750016 0.0750016i
\(652\) −1.83268e6 + 393200.i −0.168837 + 0.0362239i
\(653\) 7.99690e6 7.99690e6i 0.733903 0.733903i −0.237488 0.971391i \(-0.576324\pi\)
0.971391 + 0.237488i \(0.0763240\pi\)
\(654\) 884844. 2.99767e6i 0.0808951 0.274056i
\(655\) −3.76022e6 −0.342460
\(656\) −2.73022e6 + 1.22806e6i −0.247707 + 0.111419i
\(657\) −1.16149e7 −1.04979
\(658\) −15347.5 + 51994.0i −0.00138188 + 0.00468154i
\(659\) 5.10943e6 5.10943e6i 0.458310 0.458310i −0.439791 0.898100i \(-0.644947\pi\)
0.898100 + 0.439791i \(0.144947\pi\)
\(660\) 348126. + 1.62259e6i 0.0311083 + 0.144994i
\(661\) −1.30768e6 1.30768e6i −0.116412 0.116412i 0.646501 0.762913i \(-0.276232\pi\)
−0.762913 + 0.646501i \(0.776232\pi\)
\(662\) 4.37447e6 + 8.03850e6i 0.387954 + 0.712902i
\(663\) 1.00544e7i 0.888327i
\(664\) 5.52831e6 + 419189.i 0.486600 + 0.0368969i
\(665\) 266706.i 0.0233872i
\(666\) 4.24016e6 2.30745e6i 0.370422 0.201580i
\(667\) −2.14971e7 2.14971e7i −1.87096 1.87096i
\(668\) 6.96075e6 1.07635e7i 0.603552 0.933278i
\(669\) −4.34803e6 + 4.34803e6i −0.375602 + 0.375602i
\(670\) 9.55202e6 + 2.81954e6i 0.822069 + 0.242656i
\(671\) 1.48045e7 1.26936
\(672\) 389692. 512899.i 0.0332888 0.0438135i
\(673\) 1.39705e7 1.18898 0.594491 0.804102i \(-0.297353\pi\)
0.594491 + 0.804102i \(0.297353\pi\)
\(674\) 2.01453e7 + 5.94643e6i 1.70814 + 0.504204i
\(675\) −1.10059e6 + 1.10059e6i −0.0929752 + 0.0929752i
\(676\) 6.98515e6 1.08012e7i 0.587908 0.909087i
\(677\) 3.27475e6 + 3.27475e6i 0.274603 + 0.274603i 0.830950 0.556347i \(-0.187797\pi\)
−0.556347 + 0.830950i \(0.687797\pi\)
\(678\) −1.53738e6 + 836629.i −0.128442 + 0.0698970i
\(679\) 2.62063e6i 0.218138i
\(680\) 716678. 9.45163e6i 0.0594363 0.783853i
\(681\) 2.24032e6i 0.185115i
\(682\) −1.05977e7 1.94743e7i −0.872472 1.60325i
\(683\) 1.37218e7 + 1.37218e7i 1.12554 + 1.12554i 0.990894 + 0.134641i \(0.0429882\pi\)
0.134641 + 0.990894i \(0.457012\pi\)
\(684\) −749518. 3.49345e6i −0.0612550 0.285506i
\(685\) −224571. + 224571.i −0.0182863 + 0.0182863i
\(686\) 1.08304e6 3.66913e6i 0.0878691 0.297682i
\(687\) 5.61203e6 0.453658
\(688\) 3.65218e6 9.62374e6i 0.294158 0.775127i
\(689\) −7.37973e6 −0.592233
\(690\) −788616. + 2.67167e6i −0.0630584 + 0.213629i
\(691\) 1.41091e7 1.41091e7i 1.12410 1.12410i 0.132978 0.991119i \(-0.457546\pi\)
0.991119 0.132978i \(-0.0424539\pi\)
\(692\) −1.06925e7 + 2.29407e6i −0.848816 + 0.182113i
\(693\) 1.16698e6 + 1.16698e6i 0.0923057 + 0.0923057i
\(694\) 8.79702e6 + 1.61653e7i 0.693325 + 1.27405i
\(695\) 3.35339e6i 0.263343i
\(696\) 6.31548e6 5.42523e6i 0.494178 0.424517i
\(697\) 6.12343e6i 0.477434i
\(698\) 3.21840e6 1.75142e6i 0.250035 0.136067i
\(699\) −3.58813e6 3.58813e6i −0.277764 0.277764i
\(700\) −342107. 221241.i −0.0263886 0.0170655i
\(701\) −4.66155e6 + 4.66155e6i −0.358290 + 0.358290i −0.863182 0.504892i \(-0.831532\pi\)
0.504892 + 0.863182i \(0.331532\pi\)
\(702\) −1.18812e7 3.50706e6i −0.909949 0.268596i
\(703\) −2.09621e6 −0.159973
\(704\) 1.00318e7 7.37651e6i 0.762862 0.560944i
\(705\) 64203.9 0.00486507
\(706\) −1.07556e7 3.17482e6i −0.812127 0.239721i
\(707\) −132860. + 132860.i −0.00999642 + 0.00999642i
\(708\) −1.74369e6 1.12764e6i −0.130733 0.0845451i
\(709\) −5.95157e6 5.95157e6i −0.444648 0.444648i 0.448923 0.893570i \(-0.351808\pi\)
−0.893570 + 0.448923i \(0.851808\pi\)
\(710\) 8.72273e6 4.74682e6i 0.649391 0.353392i
\(711\) 1.47640e7i 1.09529i
\(712\) −457053. + 392625.i −0.0337883 + 0.0290254i
\(713\) 3.72160e7i 2.74161i
\(714\) 629790. + 1.15730e6i 0.0462328 + 0.0849571i
\(715\) 5.90710e6 + 5.90710e6i 0.432125 + 0.432125i
\(716\) 6.35254e6 1.36293e6i 0.463089 0.0993554i
\(717\) 2.86818e6 2.86818e6i 0.208357 0.208357i
\(718\) 5.48402e6 1.85787e7i 0.396998 1.34495i
\(719\) −1.53105e7 −1.10450 −0.552251 0.833678i \(-0.686231\pi\)
−0.552251 + 0.833678i \(0.686231\pi\)
\(720\) 5.10283e6 + 1.93651e6i 0.366843 + 0.139216i
\(721\) 2.81882e6 0.201943
\(722\) 3.52615e6 1.19459e7i 0.251743 0.852854i
\(723\) −872484. + 872484.i −0.0620743 + 0.0620743i
\(724\) 1.79694e6 + 8.37540e6i 0.127405 + 0.593826i
\(725\) −3.72356e6 3.72356e6i −0.263095 0.263095i
\(726\) 245764. + 451613.i 0.0173052 + 0.0317999i
\(727\) 1.84545e7i 1.29499i 0.762070 + 0.647494i \(0.224183\pi\)
−0.762070 + 0.647494i \(0.775817\pi\)
\(728\) 245169. 3.23331e6i 0.0171450 0.226110i
\(729\) 4.84353e6i 0.337554i
\(730\) −6.76730e6 + 3.68270e6i −0.470012 + 0.255776i
\(731\) 1.48878e7 + 1.48878e7i 1.03048 + 1.03048i
\(732\) −3.69569e6 + 5.71467e6i −0.254928 + 0.394197i
\(733\) −4.32766e6 + 4.32766e6i −0.297504 + 0.297504i −0.840036 0.542531i \(-0.817466\pi\)
0.542531 + 0.840036i \(0.317466\pi\)
\(734\) 3.00268e6 + 886324.i 0.205717 + 0.0607229i
\(735\) −2.23707e6 −0.152743
\(736\) 2.07094e7 2.82689e6i 1.40920 0.192360i
\(737\) −2.67612e7 −1.81484
\(738\) 3.38166e6 + 998190.i 0.228554 + 0.0674640i
\(739\) −1.35979e7 + 1.35979e7i −0.915924 + 0.915924i −0.996730 0.0808056i \(-0.974251\pi\)
0.0808056 + 0.996730i \(0.474251\pi\)
\(740\) 1.73887e6 2.68883e6i 0.116732 0.180503i
\(741\) 1.77764e6 + 1.77764e6i 0.118932 + 0.118932i
\(742\) −849433. + 462253.i −0.0566395 + 0.0308227i
\(743\) 2.95819e6i 0.196586i −0.995157 0.0982932i \(-0.968662\pi\)
0.995157 0.0982932i \(-0.0313383\pi\)
\(744\) 1.01628e7 + 770605.i 0.673104 + 0.0510387i
\(745\) 8.05806e6i 0.531912i
\(746\) 6.95975e6 + 1.27892e7i 0.457874 + 0.841387i
\(747\) −4.61727e6 4.61727e6i −0.302749 0.302749i
\(748\) 5.34290e6 + 2.49029e7i 0.349159 + 1.62740i
\(749\) 1.13020e6 1.13020e6i 0.0736127 0.0736127i
\(750\) −136598. + 462765.i −0.00886728 + 0.0300405i
\(751\) −2.94196e7 −1.90343 −0.951715 0.306982i \(-0.900681\pi\)
−0.951715 + 0.306982i \(0.900681\pi\)
\(752\) −197619. 439344.i −0.0127433 0.0283309i
\(753\) 6.98526e6 0.448947
\(754\) 1.18652e7 4.01968e7i 0.760056 2.57491i
\(755\) −303843. + 303843.i −0.0193991 + 0.0193991i
\(756\) −1.58724e6 + 340542.i −0.101004 + 0.0216703i
\(757\) 9.32272e6 + 9.32272e6i 0.591293 + 0.591293i 0.937981 0.346688i \(-0.112694\pi\)
−0.346688 + 0.937981i \(0.612694\pi\)
\(758\) 1.32853e7 + 2.44130e7i 0.839843 + 1.54329i
\(759\) 7.48503e6i 0.471616i
\(760\) −1.54436e6 1.79778e6i −0.0969872 0.112902i
\(761\) 5.78866e6i 0.362340i 0.983452 + 0.181170i \(0.0579884\pi\)
−0.983452 + 0.181170i \(0.942012\pi\)
\(762\) 335747. 182710.i 0.0209472 0.0113992i