Properties

Label 80.6.q.a.29.1
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 29.1
Character \(\chi\) \(=\) 80.29
Dual form 80.6.q.a.69.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.65319 - 0.203680i) q^{2} +(-12.8690 + 12.8690i) q^{3} +(31.9170 + 2.30288i) q^{4} +(-50.2546 + 24.4842i) q^{5} +(75.3721 - 70.1298i) q^{6} -156.045 q^{7} +(-179.964 - 19.5195i) q^{8} -88.2233i q^{9} +O(q^{10})\) \(q+(-5.65319 - 0.203680i) q^{2} +(-12.8690 + 12.8690i) q^{3} +(31.9170 + 2.30288i) q^{4} +(-50.2546 + 24.4842i) q^{5} +(75.3721 - 70.1298i) q^{6} -156.045 q^{7} +(-179.964 - 19.5195i) q^{8} -88.2233i q^{9} +(289.086 - 128.178i) q^{10} +(-224.357 + 224.357i) q^{11} +(-440.377 + 381.105i) q^{12} +(-555.000 + 555.000i) q^{13} +(882.150 + 31.7832i) q^{14} +(331.640 - 961.815i) q^{15} +(1013.39 + 147.002i) q^{16} +587.077i q^{17} +(-17.9693 + 498.743i) q^{18} +(-1230.66 - 1230.66i) q^{19} +(-1660.36 + 665.732i) q^{20} +(2008.14 - 2008.14i) q^{21} +(1314.03 - 1222.64i) q^{22} +4640.25 q^{23} +(2567.15 - 2064.76i) q^{24} +(1926.05 - 2460.89i) q^{25} +(3250.56 - 3024.48i) q^{26} +(-1991.82 - 1991.82i) q^{27} +(-4980.48 - 359.352i) q^{28} +(1328.63 + 1328.63i) q^{29} +(-2070.73 + 5369.77i) q^{30} +948.066 q^{31} +(-5698.96 - 1037.44i) q^{32} -5774.51i q^{33} +(119.576 - 3318.85i) q^{34} +(7841.97 - 3820.63i) q^{35} +(203.168 - 2815.82i) q^{36} +(1104.09 + 1104.09i) q^{37} +(6706.47 + 7207.79i) q^{38} -14284.6i q^{39} +(9521.93 - 3425.32i) q^{40} +16636.3i q^{41} +(-11761.4 + 10943.4i) q^{42} +(-576.447 - 576.447i) q^{43} +(-7677.48 + 6644.15i) q^{44} +(2160.07 + 4433.62i) q^{45} +(-26232.2 - 945.125i) q^{46} -13916.9i q^{47} +(-14933.2 + 11149.6i) q^{48} +7542.96 q^{49} +(-11389.6 + 13519.5i) q^{50} +(-7555.10 - 7555.10i) q^{51} +(-18992.0 + 16435.8i) q^{52} +(21220.9 + 21220.9i) q^{53} +(10854.5 + 11665.9i) q^{54} +(5781.78 - 16768.2i) q^{55} +(28082.4 + 3045.91i) q^{56} +31674.7 q^{57} +(-7240.37 - 7781.60i) q^{58} +(-27261.2 + 27261.2i) q^{59} +(12799.9 - 29934.5i) q^{60} +(-21412.6 - 21412.6i) q^{61} +(-5359.59 - 193.102i) q^{62} +13766.8i q^{63} +(32006.0 + 7025.60i) q^{64} +(14302.6 - 41480.0i) q^{65} +(-1176.15 + 32644.4i) q^{66} +(-13133.9 + 13133.9i) q^{67} +(-1351.97 + 18737.7i) q^{68} +(-59715.4 + 59715.4i) q^{69} +(-45110.3 + 20001.5i) q^{70} -73610.4i q^{71} +(-1722.07 + 15877.0i) q^{72} -14209.5 q^{73} +(-6016.76 - 6466.52i) q^{74} +(6882.81 + 56455.5i) q^{75} +(-36444.8 - 42112.9i) q^{76} +(35009.8 - 35009.8i) q^{77} +(-2909.49 + 80753.5i) q^{78} -74420.1 q^{79} +(-54526.9 + 17424.6i) q^{80} +72703.9 q^{81} +(3388.47 - 94047.9i) q^{82} +(-21801.7 + 21801.7i) q^{83} +(68718.5 - 59469.4i) q^{84} +(-14374.1 - 29503.3i) q^{85} +(3141.35 + 3376.18i) q^{86} -34196.3 q^{87} +(44755.5 - 35996.9i) q^{88} +41750.6i q^{89} +(-11308.3 - 25504.1i) q^{90} +(86604.8 - 86604.8i) q^{91} +(148103. + 10685.9i) q^{92} +(-12200.7 + 12200.7i) q^{93} +(-2834.60 + 78675.1i) q^{94} +(91977.7 + 31714.5i) q^{95} +(86690.8 - 59989.2i) q^{96} -121694. i q^{97} +(-42641.7 - 1536.35i) q^{98} +(19793.5 + 19793.5i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.65319 0.203680i −0.999352 0.0360059i
\(3\) −12.8690 + 12.8690i −0.825548 + 0.825548i −0.986897 0.161349i \(-0.948415\pi\)
0.161349 + 0.986897i \(0.448415\pi\)
\(4\) 31.9170 + 2.30288i 0.997407 + 0.0719650i
\(5\) −50.2546 + 24.4842i −0.898982 + 0.437986i
\(6\) 75.3721 70.1298i 0.854737 0.795288i
\(7\) −156.045 −1.20366 −0.601830 0.798624i \(-0.705562\pi\)
−0.601830 + 0.798624i \(0.705562\pi\)
\(8\) −179.964 19.5195i −0.994169 0.107831i
\(9\) 88.2233i 0.363059i
\(10\) 289.086 128.178i 0.914169 0.405334i
\(11\) −224.357 + 224.357i −0.559060 + 0.559060i −0.929040 0.369980i \(-0.879365\pi\)
0.369980 + 0.929040i \(0.379365\pi\)
\(12\) −440.377 + 381.105i −0.882818 + 0.763997i
\(13\) −555.000 + 555.000i −0.910824 + 0.910824i −0.996337 0.0855130i \(-0.972747\pi\)
0.0855130 + 0.996337i \(0.472747\pi\)
\(14\) 882.150 + 31.7832i 1.20288 + 0.0433388i
\(15\) 331.640 961.815i 0.380574 1.10373i
\(16\) 1013.39 + 147.002i 0.989642 + 0.143557i
\(17\) 587.077i 0.492689i 0.969182 + 0.246344i \(0.0792294\pi\)
−0.969182 + 0.246344i \(0.920771\pi\)
\(18\) −17.9693 + 498.743i −0.0130722 + 0.362823i
\(19\) −1230.66 1230.66i −0.782083 0.782083i 0.198099 0.980182i \(-0.436523\pi\)
−0.980182 + 0.198099i \(0.936523\pi\)
\(20\) −1660.36 + 665.732i −0.928170 + 0.372155i
\(21\) 2008.14 2008.14i 0.993679 0.993679i
\(22\) 1314.03 1222.64i 0.578827 0.538568i
\(23\) 4640.25 1.82903 0.914517 0.404548i \(-0.132571\pi\)
0.914517 + 0.404548i \(0.132571\pi\)
\(24\) 2567.15 2064.76i 0.909754 0.731715i
\(25\) 1926.05 2460.89i 0.616336 0.787483i
\(26\) 3250.56 3024.48i 0.943028 0.877438i
\(27\) −1991.82 1991.82i −0.525826 0.525826i
\(28\) −4980.48 359.352i −1.20054 0.0866215i
\(29\) 1328.63 + 1328.63i 0.293365 + 0.293365i 0.838408 0.545043i \(-0.183487\pi\)
−0.545043 + 0.838408i \(0.683487\pi\)
\(30\) −2070.73 + 5369.77i −0.420068 + 1.08931i
\(31\) 948.066 0.177188 0.0885940 0.996068i \(-0.471763\pi\)
0.0885940 + 0.996068i \(0.471763\pi\)
\(32\) −5698.96 1037.44i −0.983831 0.179097i
\(33\) 5774.51i 0.923061i
\(34\) 119.576 3318.85i 0.0177397 0.492369i
\(35\) 7841.97 3820.63i 1.08207 0.527187i
\(36\) 203.168 2815.82i 0.0261275 0.362117i
\(37\) 1104.09 + 1104.09i 0.132587 + 0.132587i 0.770286 0.637699i \(-0.220114\pi\)
−0.637699 + 0.770286i \(0.720114\pi\)
\(38\) 6706.47 + 7207.79i 0.753416 + 0.809735i
\(39\) 14284.6i 1.50386i
\(40\) 9521.93 3425.32i 0.940968 0.338495i
\(41\) 16636.3i 1.54560i 0.634652 + 0.772798i \(0.281143\pi\)
−0.634652 + 0.772798i \(0.718857\pi\)
\(42\) −11761.4 + 10943.4i −1.02881 + 0.957257i
\(43\) −576.447 576.447i −0.0475432 0.0475432i 0.682935 0.730479i \(-0.260703\pi\)
−0.730479 + 0.682935i \(0.760703\pi\)
\(44\) −7677.48 + 6644.15i −0.597843 + 0.517378i
\(45\) 2160.07 + 4433.62i 0.159015 + 0.326383i
\(46\) −26232.2 945.125i −1.82785 0.0658559i
\(47\) 13916.9i 0.918966i −0.888187 0.459483i \(-0.848035\pi\)
0.888187 0.459483i \(-0.151965\pi\)
\(48\) −14933.2 + 11149.6i −0.935510 + 0.698484i
\(49\) 7542.96 0.448799
\(50\) −11389.6 + 13519.5i −0.644290 + 0.764781i
\(51\) −7555.10 7555.10i −0.406738 0.406738i
\(52\) −18992.0 + 16435.8i −0.974010 + 0.842915i
\(53\) 21220.9 + 21220.9i 1.03771 + 1.03771i 0.999261 + 0.0384467i \(0.0122410\pi\)
0.0384467 + 0.999261i \(0.487759\pi\)
\(54\) 10854.5 + 11665.9i 0.506552 + 0.544417i
\(55\) 5781.78 16768.2i 0.257724 0.747445i
\(56\) 28082.4 + 3045.91i 1.19664 + 0.129792i
\(57\) 31674.7 1.29129
\(58\) −7240.37 7781.60i −0.282612 0.303738i
\(59\) −27261.2 + 27261.2i −1.01956 + 1.01956i −0.0197592 + 0.999805i \(0.506290\pi\)
−0.999805 + 0.0197592i \(0.993710\pi\)
\(60\) 12799.9 29934.5i 0.459017 1.07348i
\(61\) −21412.6 21412.6i −0.736793 0.736793i 0.235163 0.971956i \(-0.424438\pi\)
−0.971956 + 0.235163i \(0.924438\pi\)
\(62\) −5359.59 193.102i −0.177073 0.00637981i
\(63\) 13766.8i 0.436999i
\(64\) 32006.0 + 7025.60i 0.976745 + 0.214404i
\(65\) 14302.6 41480.0i 0.419886 1.21774i
\(66\) −1176.15 + 32644.4i −0.0332356 + 0.922463i
\(67\) −13133.9 + 13133.9i −0.357444 + 0.357444i −0.862870 0.505426i \(-0.831335\pi\)
0.505426 + 0.862870i \(0.331335\pi\)
\(68\) −1351.97 + 18737.7i −0.0354564 + 0.491411i
\(69\) −59715.4 + 59715.4i −1.50995 + 1.50995i
\(70\) −45110.3 + 20001.5i −1.10035 + 0.487884i
\(71\) 73610.4i 1.73298i −0.499194 0.866490i \(-0.666371\pi\)
0.499194 0.866490i \(-0.333629\pi\)
\(72\) −1722.07 + 15877.0i −0.0391489 + 0.360942i
\(73\) −14209.5 −0.312084 −0.156042 0.987750i \(-0.549874\pi\)
−0.156042 + 0.987750i \(0.549874\pi\)
\(74\) −6016.76 6466.52i −0.127727 0.137275i
\(75\) 6882.81 + 56455.5i 0.141290 + 1.15892i
\(76\) −36444.8 42112.9i −0.723772 0.836337i
\(77\) 35009.8 35009.8i 0.672918 0.672918i
\(78\) −2909.49 + 80753.5i −0.0541477 + 1.50288i
\(79\) −74420.1 −1.34160 −0.670799 0.741639i \(-0.734049\pi\)
−0.670799 + 0.741639i \(0.734049\pi\)
\(80\) −54526.9 + 17424.6i −0.952546 + 0.304395i
\(81\) 72703.9 1.23125
\(82\) 3388.47 94047.9i 0.0556505 1.54459i
\(83\) −21801.7 + 21801.7i −0.347372 + 0.347372i −0.859130 0.511758i \(-0.828995\pi\)
0.511758 + 0.859130i \(0.328995\pi\)
\(84\) 68718.5 59469.4i 1.06261 0.919593i
\(85\) −14374.1 29503.3i −0.215791 0.442918i
\(86\) 3141.35 + 3376.18i 0.0458006 + 0.0492242i
\(87\) −34196.3 −0.484374
\(88\) 44755.5 35996.9i 0.616084 0.495516i
\(89\) 41750.6i 0.558712i 0.960188 + 0.279356i \(0.0901210\pi\)
−0.960188 + 0.279356i \(0.909879\pi\)
\(90\) −11308.3 25504.1i −0.147160 0.331897i
\(91\) 86604.8 86604.8i 1.09632 1.09632i
\(92\) 148103. + 10685.9i 1.82429 + 0.131626i
\(93\) −12200.7 + 12200.7i −0.146277 + 0.146277i
\(94\) −2834.60 + 78675.1i −0.0330882 + 0.918370i
\(95\) 91977.7 + 31714.5i 1.04562 + 0.360536i
\(96\) 86690.8 59989.2i 0.960053 0.664347i
\(97\) 121694.i 1.31322i −0.754229 0.656611i \(-0.771989\pi\)
0.754229 0.656611i \(-0.228011\pi\)
\(98\) −42641.7 1536.35i −0.448508 0.0161594i
\(99\) 19793.5 + 19793.5i 0.202972 + 0.202972i
\(100\) 67140.9 74108.7i 0.671409 0.741087i
\(101\) 90999.3 90999.3i 0.887635 0.887635i −0.106660 0.994296i \(-0.534016\pi\)
0.994296 + 0.106660i \(0.0340157\pi\)
\(102\) 41171.6 + 44249.2i 0.391829 + 0.421119i
\(103\) −37255.2 −0.346014 −0.173007 0.984921i \(-0.555348\pi\)
−0.173007 + 0.984921i \(0.555348\pi\)
\(104\) 110713. 89046.6i 1.00373 0.807298i
\(105\) −51750.7 + 150086.i −0.458082 + 1.32852i
\(106\) −115644. 124288.i −0.999671 1.07440i
\(107\) 12971.8 + 12971.8i 0.109532 + 0.109532i 0.759749 0.650217i \(-0.225322\pi\)
−0.650217 + 0.759749i \(0.725322\pi\)
\(108\) −58986.2 68160.1i −0.486621 0.562303i
\(109\) 104919. + 104919.i 0.845838 + 0.845838i 0.989611 0.143773i \(-0.0459235\pi\)
−0.143773 + 0.989611i \(0.545923\pi\)
\(110\) −36100.8 + 93616.0i −0.284469 + 0.737681i
\(111\) −28417.2 −0.218914
\(112\) −158135. 22938.9i −1.19119 0.172794i
\(113\) 133216.i 0.981432i 0.871320 + 0.490716i \(0.163265\pi\)
−0.871320 + 0.490716i \(0.836735\pi\)
\(114\) −179063. 6451.49i −1.29046 0.0464941i
\(115\) −233194. + 113613.i −1.64427 + 0.801092i
\(116\) 39346.2 + 45465.6i 0.271493 + 0.313717i
\(117\) 48963.9 + 48963.9i 0.330683 + 0.330683i
\(118\) 159665. 148560.i 1.05561 0.982193i
\(119\) 91610.2i 0.593030i
\(120\) −78457.3 + 166618.i −0.497371 + 1.05626i
\(121\) 60378.7i 0.374904i
\(122\) 116688. + 125411.i 0.709787 + 0.762844i
\(123\) −214092. 214092.i −1.27596 1.27596i
\(124\) 30259.5 + 2183.28i 0.176729 + 0.0127513i
\(125\) −36540.1 + 170829.i −0.209168 + 0.977880i
\(126\) 2804.02 77826.1i 0.0157345 0.436716i
\(127\) 81760.2i 0.449814i −0.974380 0.224907i \(-0.927792\pi\)
0.974380 0.224907i \(-0.0722078\pi\)
\(128\) −179505. 46236.0i −0.968392 0.249434i
\(129\) 14836.6 0.0784984
\(130\) −89303.8 + 231581.i −0.463459 + 1.20183i
\(131\) −169475. 169475.i −0.862836 0.862836i 0.128831 0.991667i \(-0.458878\pi\)
−0.991667 + 0.128831i \(0.958878\pi\)
\(132\) 13298.0 184305.i 0.0664281 0.920668i
\(133\) 192037. + 192037.i 0.941362 + 0.941362i
\(134\) 76923.7 71573.4i 0.370082 0.344342i
\(135\) 148867. + 51330.2i 0.703012 + 0.242403i
\(136\) 11459.4 105653.i 0.0531270 0.489816i
\(137\) −236264. −1.07546 −0.537732 0.843116i \(-0.680719\pi\)
−0.537732 + 0.843116i \(0.680719\pi\)
\(138\) 349745. 325420.i 1.56334 1.45461i
\(139\) 82965.6 82965.6i 0.364218 0.364218i −0.501145 0.865363i \(-0.667088\pi\)
0.865363 + 0.501145i \(0.167088\pi\)
\(140\) 259091. 103884.i 1.11720 0.447949i
\(141\) 179097. + 179097.i 0.758650 + 0.758650i
\(142\) −14993.0 + 416134.i −0.0623974 + 1.73186i
\(143\) 249036.i 1.01841i
\(144\) 12969.0 89404.9i 0.0521196 0.359298i
\(145\) −99300.1 34239.3i −0.392220 0.135240i
\(146\) 80329.0 + 2894.19i 0.311882 + 0.0112369i
\(147\) −97070.5 + 97070.5i −0.370505 + 0.370505i
\(148\) 32696.8 + 37781.9i 0.122702 + 0.141785i
\(149\) −37131.7 + 37131.7i −0.137018 + 0.137018i −0.772289 0.635271i \(-0.780888\pi\)
0.635271 + 0.772289i \(0.280888\pi\)
\(150\) −27410.9 320556.i −0.0994709 1.16326i
\(151\) 87167.0i 0.311107i 0.987827 + 0.155554i \(0.0497161\pi\)
−0.987827 + 0.155554i \(0.950284\pi\)
\(152\) 197452. + 245495.i 0.693190 + 0.861855i
\(153\) 51793.8 0.178875
\(154\) −205047. + 190786.i −0.696711 + 0.648253i
\(155\) −47644.7 + 23212.6i −0.159289 + 0.0776059i
\(156\) 32895.8 455922.i 0.108225 1.49996i
\(157\) −55100.3 + 55100.3i −0.178404 + 0.178404i −0.790660 0.612256i \(-0.790262\pi\)
0.612256 + 0.790660i \(0.290262\pi\)
\(158\) 420711. + 15157.9i 1.34073 + 0.0483054i
\(159\) −546185. −1.71335
\(160\) 311800. 87398.3i 0.962888 0.269900i
\(161\) −724086. −2.20154
\(162\) −411009. 14808.3i −1.23045 0.0443321i
\(163\) −200322. + 200322.i −0.590553 + 0.590553i −0.937781 0.347228i \(-0.887123\pi\)
0.347228 + 0.937781i \(0.387123\pi\)
\(164\) −38311.3 + 530980.i −0.111229 + 1.54159i
\(165\) 141384. + 290196.i 0.404288 + 0.829815i
\(166\) 127690. 118809.i 0.359655 0.334640i
\(167\) 691828. 1.91958 0.959791 0.280715i \(-0.0905715\pi\)
0.959791 + 0.280715i \(0.0905715\pi\)
\(168\) −400591. + 322195.i −1.09503 + 0.880736i
\(169\) 244757.i 0.659201i
\(170\) 75250.2 + 169715.i 0.199703 + 0.450401i
\(171\) −108572. + 108572.i −0.283942 + 0.283942i
\(172\) −17071.0 19726.0i −0.0439985 0.0508414i
\(173\) −190951. + 190951.i −0.485072 + 0.485072i −0.906747 0.421675i \(-0.861442\pi\)
0.421675 + 0.906747i \(0.361442\pi\)
\(174\) 193318. + 6965.10i 0.484060 + 0.0174403i
\(175\) −300550. + 384008.i −0.741859 + 0.947863i
\(176\) −260343. + 194381.i −0.633526 + 0.473012i
\(177\) 701649.i 1.68340i
\(178\) 8503.77 236024.i 0.0201169 0.558350i
\(179\) 422789. + 422789.i 0.986259 + 0.986259i 0.999907 0.0136479i \(-0.00434440\pi\)
−0.0136479 + 0.999907i \(0.504344\pi\)
\(180\) 58733.0 + 146483.i 0.135114 + 0.336980i
\(181\) 474592. 474592.i 1.07677 1.07677i 0.0799769 0.996797i \(-0.474515\pi\)
0.996797 0.0799769i \(-0.0254847\pi\)
\(182\) −507233. + 471953.i −1.13509 + 1.05614i
\(183\) 551119. 1.21652
\(184\) −835077. 90575.2i −1.81837 0.197226i
\(185\) −82518.5 28452.9i −0.177265 0.0611220i
\(186\) 71457.8 66487.7i 0.151449 0.140916i
\(187\) −131715. 131715.i −0.275442 0.275442i
\(188\) 32049.1 444188.i 0.0661334 0.916583i
\(189\) 310814. + 310814.i 0.632915 + 0.632915i
\(190\) −513508. 198022.i −1.03196 0.397951i
\(191\) 878066. 1.74158 0.870791 0.491654i \(-0.163607\pi\)
0.870791 + 0.491654i \(0.163607\pi\)
\(192\) −502298. + 321473.i −0.983351 + 0.629349i
\(193\) 614493.i 1.18747i −0.804660 0.593736i \(-0.797652\pi\)
0.804660 0.593736i \(-0.202348\pi\)
\(194\) −24786.5 + 687956.i −0.0472837 + 1.31237i
\(195\) 349747. + 717867.i 0.658669 + 1.35194i
\(196\) 240749. + 17370.5i 0.447635 + 0.0322978i
\(197\) −200252. 200252.i −0.367630 0.367630i 0.498982 0.866612i \(-0.333707\pi\)
−0.866612 + 0.498982i \(0.833707\pi\)
\(198\) −107865. 115928.i −0.195532 0.210148i
\(199\) 410791.i 0.735339i −0.929956 0.367670i \(-0.880156\pi\)
0.929956 0.367670i \(-0.119844\pi\)
\(200\) −394655. + 405275.i −0.697657 + 0.716432i
\(201\) 338042.i 0.590174i
\(202\) −532971. + 495901.i −0.919020 + 0.855100i
\(203\) −207326. 207326.i −0.353112 0.353112i
\(204\) −223738. 258535.i −0.376412 0.434954i
\(205\) −407325. 836049.i −0.676950 1.38946i
\(206\) 210610. + 7588.13i 0.345789 + 0.0124585i
\(207\) 409378.i 0.664046i
\(208\) −644019. + 480847.i −1.03214 + 0.770635i
\(209\) 552213. 0.874462
\(210\) 323126. 837924.i 0.505619 1.31116i
\(211\) −252493. 252493.i −0.390430 0.390430i 0.484411 0.874841i \(-0.339034\pi\)
−0.874841 + 0.484411i \(0.839034\pi\)
\(212\) 628440. + 726179.i 0.960338 + 1.10970i
\(213\) 947294. + 947294.i 1.43066 + 1.43066i
\(214\) −70689.9 75974.1i −0.105517 0.113405i
\(215\) 43083.0 + 14855.3i 0.0635638 + 0.0219172i
\(216\) 319577. + 397336.i 0.466059 + 0.579460i
\(217\) −147941. −0.213274
\(218\) −571756. 614495.i −0.814834 0.875745i
\(219\) 182862. 182862.i 0.257641 0.257641i
\(220\) 223152. 521876.i 0.310846 0.726960i
\(221\) −325827. 325827.i −0.448753 0.448753i
\(222\) 160648. + 5788.01i 0.218772 + 0.00788219i
\(223\) 717997.i 0.966853i −0.875385 0.483426i \(-0.839392\pi\)
0.875385 0.483426i \(-0.160608\pi\)
\(224\) 889293. + 161887.i 1.18420 + 0.215572i
\(225\) −217107. 169922.i −0.285903 0.223766i
\(226\) 27133.4 753095.i 0.0353373 0.980796i
\(227\) 209176. 209176.i 0.269430 0.269430i −0.559440 0.828871i \(-0.688984\pi\)
0.828871 + 0.559440i \(0.188984\pi\)
\(228\) 1.01096e6 + 72943.0i 1.28795 + 0.0929280i
\(229\) 367286. 367286.i 0.462824 0.462824i −0.436756 0.899580i \(-0.643873\pi\)
0.899580 + 0.436756i \(0.143873\pi\)
\(230\) 1.34143e6 594777.i 1.67205 0.741369i
\(231\) 901082.i 1.11105i
\(232\) −213171. 265039.i −0.260021 0.323289i
\(233\) 320564. 0.386834 0.193417 0.981117i \(-0.438043\pi\)
0.193417 + 0.981117i \(0.438043\pi\)
\(234\) −266829. 286775.i −0.318562 0.342375i
\(235\) 340745. + 699391.i 0.402495 + 0.826133i
\(236\) −932875. + 807316.i −1.09029 + 0.943547i
\(237\) 957713. 957713.i 1.10755 1.10755i
\(238\) −18659.2 + 517890.i −0.0213526 + 0.592645i
\(239\) 391009. 0.442784 0.221392 0.975185i \(-0.428940\pi\)
0.221392 + 0.975185i \(0.428940\pi\)
\(240\) 477471. 925945.i 0.535080 1.03766i
\(241\) −1.11756e6 −1.23945 −0.619723 0.784821i \(-0.712755\pi\)
−0.619723 + 0.784821i \(0.712755\pi\)
\(242\) 12297.9 341332.i 0.0134987 0.374661i
\(243\) −451615. + 451615.i −0.490628 + 0.490628i
\(244\) −634117. 732739.i −0.681859 0.787906i
\(245\) −379068. + 184683.i −0.403462 + 0.196568i
\(246\) 1.16670e6 + 1.25391e6i 1.22919 + 1.32108i
\(247\) 1.36603e6 1.42468
\(248\) −170618. 18505.8i −0.176155 0.0191063i
\(249\) 561133.i 0.573545i
\(250\) 241362. 958283.i 0.244241 0.969714i
\(251\) 10375.7 10375.7i 0.0103952 0.0103952i −0.701890 0.712285i \(-0.747660\pi\)
0.712285 + 0.701890i \(0.247660\pi\)
\(252\) −31703.2 + 439395.i −0.0314487 + 0.435866i
\(253\) −1.04107e6 + 1.04107e6i −1.02254 + 1.02254i
\(254\) −16652.9 + 462206.i −0.0161959 + 0.449522i
\(255\) 564659. + 194698.i 0.543796 + 0.187504i
\(256\) 1.00536e6 + 297942.i 0.958783 + 0.284140i
\(257\) 1.67916e6i 1.58584i −0.609325 0.792921i \(-0.708559\pi\)
0.609325 0.792921i \(-0.291441\pi\)
\(258\) −83874.2 3021.92i −0.0784475 0.00282640i
\(259\) −172288. 172288.i −0.159590 0.159590i
\(260\) 552019. 1.29098e6i 0.506432 1.18437i
\(261\) 117216. 117216.i 0.106509 0.106509i
\(262\) 923557. + 992594.i 0.831209 + 0.893343i
\(263\) −893209. −0.796276 −0.398138 0.917326i \(-0.630343\pi\)
−0.398138 + 0.917326i \(0.630343\pi\)
\(264\) −112715. + 1.03920e6i −0.0995345 + 0.917679i
\(265\) −1.58603e6 546872.i −1.38738 0.478378i
\(266\) −1.04651e6 1.12474e6i −0.906857 0.974646i
\(267\) −537290. 537290.i −0.461244 0.461244i
\(268\) −449442. + 388950.i −0.382240 + 0.330794i
\(269\) −1.20940e6 1.20940e6i −1.01904 1.01904i −0.999815 0.0192222i \(-0.993881\pi\)
−0.0192222 0.999815i \(-0.506119\pi\)
\(270\) −831115. 320500.i −0.693828 0.267558i
\(271\) −925927. −0.765867 −0.382934 0.923776i \(-0.625086\pi\)
−0.382934 + 0.923776i \(0.625086\pi\)
\(272\) −86301.6 + 594940.i −0.0707288 + 0.487585i
\(273\) 2.22904e6i 1.81013i
\(274\) 1.33564e6 + 48122.2i 1.07477 + 0.0387230i
\(275\) 119994. + 984241.i 0.0956817 + 0.784819i
\(276\) −2.04346e6 + 1.76842e6i −1.61470 + 1.39738i
\(277\) 684126. + 684126.i 0.535719 + 0.535719i 0.922268 0.386550i \(-0.126333\pi\)
−0.386550 + 0.922268i \(0.626333\pi\)
\(278\) −485919. + 452122.i −0.377096 + 0.350868i
\(279\) 83641.5i 0.0643297i
\(280\) −1.48585e6 + 534504.i −1.13261 + 0.407433i
\(281\) 1.89554e6i 1.43208i 0.698060 + 0.716039i \(0.254047\pi\)
−0.698060 + 0.716039i \(0.745953\pi\)
\(282\) −975993. 1.04895e6i −0.730843 0.785474i
\(283\) 994859. + 994859.i 0.738406 + 0.738406i 0.972270 0.233863i \(-0.0751368\pi\)
−0.233863 + 0.972270i \(0.575137\pi\)
\(284\) 169516. 2.34943e6i 0.124714 1.72849i
\(285\) −1.59180e6 + 775528.i −1.16085 + 0.565569i
\(286\) −50723.7 + 1.40785e6i −0.0366687 + 1.01775i
\(287\) 2.59600e6i 1.86037i
\(288\) −91526.3 + 502781.i −0.0650226 + 0.357189i
\(289\) 1.07520e6 0.757258
\(290\) 554388. + 213787.i 0.387096 + 0.149275i
\(291\) 1.56608e6 + 1.56608e6i 1.08413 + 1.08413i
\(292\) −453525. 32722.8i −0.311275 0.0224592i
\(293\) −1.08783e6 1.08783e6i −0.740274 0.740274i 0.232357 0.972631i \(-0.425356\pi\)
−0.972631 + 0.232357i \(0.925356\pi\)
\(294\) 568529. 528986.i 0.383605 0.356924i
\(295\) 702532. 2.03747e6i 0.470014 1.36312i
\(296\) −177145. 220248.i −0.117517 0.146111i
\(297\) 893760. 0.587936
\(298\) 217475. 202349.i 0.141863 0.131996i
\(299\) −2.57534e6 + 2.57534e6i −1.66593 + 1.66593i
\(300\) 89668.4 + 1.81774e6i 0.0575223 + 1.16608i
\(301\) 89951.6 + 89951.6i 0.0572259 + 0.0572259i
\(302\) 17754.2 492771.i 0.0112017 0.310905i
\(303\) 2.34214e6i 1.46557i
\(304\) −1.06623e6 1.42805e6i −0.661709 0.886255i
\(305\) 1.60035e6 + 551813.i 0.985069 + 0.339658i
\(306\) −292800. 10549.4i −0.178759 0.00644054i
\(307\) 130430. 130430.i 0.0789827 0.0789827i −0.666512 0.745494i \(-0.732213\pi\)
0.745494 + 0.666512i \(0.232213\pi\)
\(308\) 1.19803e6 1.03678e6i 0.719600 0.622747i
\(309\) 479437. 479437.i 0.285651 0.285651i
\(310\) 274072. 121521.i 0.161980 0.0718203i
\(311\) 2.29145e6i 1.34341i 0.740819 + 0.671705i \(0.234438\pi\)
−0.740819 + 0.671705i \(0.765562\pi\)
\(312\) −278828. + 2.57071e6i −0.162162 + 1.49509i
\(313\) −2.05971e6 −1.18835 −0.594175 0.804336i \(-0.702521\pi\)
−0.594175 + 0.804336i \(0.702521\pi\)
\(314\) 322715. 300269.i 0.184712 0.171865i
\(315\) −337068. 691844.i −0.191400 0.392854i
\(316\) −2.37527e6 171381.i −1.33812 0.0965481i
\(317\) −1.45424e6 + 1.45424e6i −0.812805 + 0.812805i −0.985054 0.172248i \(-0.944897\pi\)
0.172248 + 0.985054i \(0.444897\pi\)
\(318\) 3.08769e6 + 111247.i 1.71224 + 0.0616908i
\(319\) −596175. −0.328017
\(320\) −1.78046e6 + 430571.i −0.971982 + 0.235055i
\(321\) −333868. −0.180848
\(322\) 4.09339e6 + 147482.i 2.20011 + 0.0792682i
\(323\) 722489. 722489.i 0.385323 0.385323i
\(324\) 2.32049e6 + 167428.i 1.22805 + 0.0886067i
\(325\) 296834. + 2.43475e6i 0.155885 + 1.27863i
\(326\) 1.17326e6 1.09165e6i 0.611434 0.568907i
\(327\) −2.70040e6 −1.39656
\(328\) 324731. 2.99393e6i 0.166663 1.53658i
\(329\) 2.17167e6i 1.10612i
\(330\) −740164. 1.66933e6i −0.374148 0.843834i
\(331\) 450474. 450474.i 0.225995 0.225995i −0.585022 0.811017i \(-0.698914\pi\)
0.811017 + 0.585022i \(0.198914\pi\)
\(332\) −746052. + 645639.i −0.371470 + 0.321473i
\(333\) 97406.6 97406.6i 0.0481369 0.0481369i
\(334\) −3.91103e6 140911.i −1.91834 0.0691162i
\(335\) 338467. 981614.i 0.164780 0.477891i
\(336\) 2.33024e6 1.73984e6i 1.12604 0.840737i
\(337\) 290724.i 0.139446i 0.997566 + 0.0697229i \(0.0222115\pi\)
−0.997566 + 0.0697229i \(0.977788\pi\)
\(338\) −49852.0 + 1.38366e6i −0.0237351 + 0.658774i
\(339\) −1.71436e6 1.71436e6i −0.810219 0.810219i
\(340\) −390836. 974760.i −0.183357 0.457299i
\(341\) −212705. + 212705.i −0.0990587 + 0.0990587i
\(342\) 635895. 591666.i 0.293981 0.273534i
\(343\) 1.44561e6 0.663459
\(344\) 92487.8 + 114992.i 0.0421394 + 0.0523926i
\(345\) 1.53889e6 4.46306e6i 0.696082 2.01876i
\(346\) 1.11837e6 1.04059e6i 0.502223 0.467292i
\(347\) −1.30870e6 1.30870e6i −0.583468 0.583468i 0.352387 0.935854i \(-0.385370\pi\)
−0.935854 + 0.352387i \(0.885370\pi\)
\(348\) −1.09144e6 78750.0i −0.483118 0.0348580i
\(349\) 2.32293e6 + 2.32293e6i 1.02087 + 1.02087i 0.999777 + 0.0210976i \(0.00671606\pi\)
0.0210976 + 0.999777i \(0.493284\pi\)
\(350\) 1.77728e6 2.10965e6i 0.775507 0.920537i
\(351\) 2.21092e6 0.957869
\(352\) 1.51136e6 1.04585e6i 0.650146 0.449895i
\(353\) 4.04213e6i 1.72653i −0.504752 0.863265i \(-0.668416\pi\)
0.504752 0.863265i \(-0.331584\pi\)
\(354\) −142912. + 3.96655e6i −0.0606122 + 1.68231i
\(355\) 1.80229e6 + 3.69926e6i 0.759022 + 1.55792i
\(356\) −96146.8 + 1.33256e6i −0.0402077 + 0.557263i
\(357\) 1.17893e6 + 1.17893e6i 0.489574 + 0.489574i
\(358\) −2.30399e6 2.47622e6i −0.950108 1.02113i
\(359\) 3.47651e6i 1.42366i −0.702351 0.711831i \(-0.747866\pi\)
0.702351 0.711831i \(-0.252134\pi\)
\(360\) −302193. 840056.i −0.122893 0.341627i
\(361\) 552930.i 0.223307i
\(362\) −2.77962e6 + 2.58629e6i −1.11485 + 1.03731i
\(363\) −777014. 777014.i −0.309501 0.309501i
\(364\) 2.96361e6 2.56473e6i 1.17238 1.01458i
\(365\) 714093. 347908.i 0.280558 0.136689i
\(366\) −3.11558e6 112252.i −1.21573 0.0438017i
\(367\) 2.12117e6i 0.822074i 0.911619 + 0.411037i \(0.134833\pi\)
−0.911619 + 0.411037i \(0.865167\pi\)
\(368\) 4.70240e6 + 682127.i 1.81009 + 0.262570i
\(369\) 1.46771e6 0.561142
\(370\) 460697. + 177657.i 0.174949 + 0.0674649i
\(371\) −3.31142e6 3.31142e6i −1.24905 1.24905i
\(372\) −417506. + 361313.i −0.156425 + 0.135371i
\(373\) −2.71426e6 2.71426e6i −1.01013 1.01013i −0.999948 0.0101851i \(-0.996758\pi\)
−0.0101851 0.999948i \(1.49676\pi\)
\(374\) 717781. + 771436.i 0.265346 + 0.285181i
\(375\) −1.72816e6 2.66863e6i −0.634609 0.979965i
\(376\) −271652. + 2.50455e6i −0.0990929 + 0.913608i
\(377\) −1.47478e6 −0.534408
\(378\) −1.69378e6 1.82039e6i −0.609716 0.655294i
\(379\) 505294. 505294.i 0.180695 0.180695i −0.610964 0.791659i \(-0.709218\pi\)
0.791659 + 0.610964i \(0.209218\pi\)
\(380\) 2.86262e6 + 1.22405e6i 1.01696 + 0.434850i
\(381\) 1.05217e6 + 1.05217e6i 0.371343 + 0.371343i
\(382\) −4.96387e6 178844.i −1.74045 0.0627072i
\(383\) 4.31475e6i 1.50300i 0.659734 + 0.751499i \(0.270669\pi\)
−0.659734 + 0.751499i \(0.729331\pi\)
\(384\) 2.90506e6 1.71504e6i 1.00537 0.593534i
\(385\) −902216. + 2.61659e6i −0.310212 + 0.899670i
\(386\) −125160. + 3.47384e6i −0.0427560 + 1.18670i
\(387\) −50856.1 + 50856.1i −0.0172610 + 0.0172610i
\(388\) 280246. 3.88410e6i 0.0945061 1.30982i
\(389\) −702084. + 702084.i −0.235242 + 0.235242i −0.814877 0.579634i \(-0.803195\pi\)
0.579634 + 0.814877i \(0.303195\pi\)
\(390\) −1.83097e6 4.12947e6i −0.609564 1.37478i
\(391\) 2.72418e6i 0.901144i
\(392\) −1.35746e6 147235.i −0.446182 0.0483943i
\(393\) 4.36196e6 1.42462
\(394\) 1.09127e6 + 1.17285e6i 0.354154 + 0.380628i
\(395\) 3.73995e6 1.82211e6i 1.20607 0.587602i
\(396\) 586168. + 677333.i 0.187838 + 0.217052i
\(397\) 2.40518e6 2.40518e6i 0.765900 0.765900i −0.211482 0.977382i \(-0.567829\pi\)
0.977382 + 0.211482i \(0.0678290\pi\)
\(398\) −83669.8 + 2.32228e6i −0.0264765 + 0.734862i
\(399\) −4.94267e6 −1.55428
\(400\) 2.31360e6 2.21071e6i 0.723001 0.690847i
\(401\) −4.69367e6 −1.45764 −0.728822 0.684703i \(-0.759932\pi\)
−0.728822 + 0.684703i \(0.759932\pi\)
\(402\) −68852.3 + 1.91101e6i −0.0212497 + 0.589791i
\(403\) −526177. + 526177.i −0.161387 + 0.161387i
\(404\) 3.11399e6 2.69487e6i 0.949213 0.821455i
\(405\) −3.65371e6 + 1.78010e6i −1.10687 + 0.539269i
\(406\) 1.12982e6 + 1.21428e6i 0.340169 + 0.365597i
\(407\) −495422. −0.148248
\(408\) 1.21217e6 + 1.50712e6i 0.360508 + 0.448225i
\(409\) 4.04705e6i 1.19627i 0.801394 + 0.598137i \(0.204092\pi\)
−0.801394 + 0.598137i \(0.795908\pi\)
\(410\) 2.13240e6 + 4.80930e6i 0.626482 + 1.41294i
\(411\) 3.04048e6 3.04048e6i 0.887846 0.887846i
\(412\) −1.18907e6 85794.2i −0.345117 0.0249009i
\(413\) 4.25396e6 4.25396e6i 1.22721 1.22721i
\(414\) −83382.1 + 2.31429e6i −0.0239096 + 0.663616i
\(415\) 561839. 1.62943e6i 0.160137 0.464426i
\(416\) 3.73870e6 2.58714e6i 1.05922 0.732972i
\(417\) 2.13537e6i 0.601359i
\(418\) −3.12176e6 112475.i −0.873895 0.0314858i
\(419\) −4.37567e6 4.37567e6i −1.21761 1.21761i −0.968465 0.249150i \(-0.919849\pi\)
−0.249150 0.968465i \(-0.580151\pi\)
\(420\) −1.99736e6 + 4.67113e6i −0.552501 + 1.29211i
\(421\) 5.08936e6 5.08936e6i 1.39945 1.39945i 0.597822 0.801629i \(-0.296033\pi\)
0.801629 0.597822i \(-0.203967\pi\)
\(422\) 1.37596e6 + 1.47882e6i 0.376119 + 0.404235i
\(423\) −1.22780e6 −0.333639
\(424\) −3.40478e6 4.23322e6i −0.919760 1.14355i
\(425\) 1.44473e6 + 1.13074e6i 0.387984 + 0.303662i
\(426\) −5.16229e6 5.54817e6i −1.37822 1.48124i
\(427\) 3.34133e6 + 3.34133e6i 0.886849 + 0.886849i
\(428\) 384149. + 443894.i 0.101365 + 0.117130i
\(429\) 3.20485e6 + 3.20485e6i 0.840747 + 0.840747i
\(430\) −240530. 92754.9i −0.0627334 0.0241917i
\(431\) 1.75406e6 0.454831 0.227416 0.973798i \(-0.426972\pi\)
0.227416 + 0.973798i \(0.426972\pi\)
\(432\) −1.72570e6 2.31130e6i −0.444893 0.595865i
\(433\) 2.91386e6i 0.746877i 0.927655 + 0.373438i \(0.121821\pi\)
−0.927655 + 0.373438i \(0.878179\pi\)
\(434\) 836336. + 30132.6i 0.213136 + 0.00767912i
\(435\) 1.71852e6 837268.i 0.435443 0.212149i
\(436\) 3.10708e6 + 3.59031e6i 0.782774 + 0.904515i
\(437\) −5.71055e6 5.71055e6i −1.43046 1.43046i
\(438\) −1.07100e6 + 996510.i −0.266750 + 0.248197i
\(439\) 3.92956e6i 0.973157i 0.873637 + 0.486579i \(0.161755\pi\)
−0.873637 + 0.486579i \(0.838245\pi\)
\(440\) −1.36782e6 + 2.90481e6i −0.336819 + 0.715296i
\(441\) 665464.i 0.162940i
\(442\) 1.77560e6 + 1.90833e6i 0.432304 + 0.464619i
\(443\) 488185. + 488185.i 0.118188 + 0.118188i 0.763727 0.645539i \(-0.223367\pi\)
−0.645539 + 0.763727i \(0.723367\pi\)
\(444\) −906992. 65441.4i −0.218346 0.0157542i
\(445\) −1.02223e6 2.09816e6i −0.244708 0.502272i
\(446\) −146242. + 4.05897e6i −0.0348124 + 0.966226i
\(447\) 955697.i 0.226231i
\(448\) −4.99436e6 1.09631e6i −1.17567 0.258070i
\(449\) 3.69304e6 0.864506 0.432253 0.901752i \(-0.357719\pi\)
0.432253 + 0.901752i \(0.357719\pi\)
\(450\) 1.19274e6 + 1.00482e6i 0.277660 + 0.233915i
\(451\) −3.73246e6 3.73246e6i −0.864081 0.864081i
\(452\) −306781. + 4.25186e6i −0.0706288 + 0.978887i
\(453\) −1.12175e6 1.12175e6i −0.256834 0.256834i
\(454\) −1.22511e6 + 1.13990e6i −0.278957 + 0.259554i
\(455\) −2.23184e6 + 6.47274e6i −0.505400 + 1.46575i
\(456\) −5.70030e6 618273.i −1.28376 0.139241i
\(457\) 5.46428e6 1.22389 0.611945 0.790900i \(-0.290387\pi\)
0.611945 + 0.790900i \(0.290387\pi\)
\(458\) −2.15114e6 + 2.00153e6i −0.479188 + 0.445859i
\(459\) 1.16935e6 1.16935e6i 0.259068 0.259068i
\(460\) −7.70449e6 + 3.08916e6i −1.69765 + 0.680685i
\(461\) 1.40103e6 + 1.40103e6i 0.307041 + 0.307041i 0.843761 0.536720i \(-0.180337\pi\)
−0.536720 + 0.843761i \(0.680337\pi\)
\(462\) 183532. 5.09399e6i 0.0400044 1.11033i
\(463\) 992575.i 0.215184i −0.994195 0.107592i \(-0.965686\pi\)
0.994195 0.107592i \(-0.0343141\pi\)
\(464\) 1.15111e6 + 1.54174e6i 0.248212 + 0.332441i
\(465\) 314417. 911864.i 0.0674331 0.195568i
\(466\) −1.81221e6 65292.4i −0.386583 0.0139283i
\(467\) 2.78385e6 2.78385e6i 0.590682 0.590682i −0.347133 0.937816i \(-0.612845\pi\)
0.937816 + 0.347133i \(0.112845\pi\)
\(468\) 1.45002e6 + 1.67554e6i 0.306028 + 0.353623i
\(469\) 2.04948e6 2.04948e6i 0.430241 0.430241i
\(470\) −1.78384e6 4.02319e6i −0.372488 0.840090i
\(471\) 1.41817e6i 0.294562i
\(472\) 5.43815e6 4.37390e6i 1.12356 0.903679i
\(473\) 258660. 0.0531590
\(474\) −5.60920e6 + 5.21906e6i −1.14671 + 1.06696i
\(475\) −5.39881e6 + 658199.i −1.09790 + 0.133851i
\(476\) 210967. 2.92393e6i 0.0426774 0.591492i
\(477\) 1.87218e6 1.87218e6i 0.376749 0.376749i
\(478\) −2.21045e6 79640.7i −0.442497 0.0159428i
\(479\) −4.52499e6 −0.901113 −0.450556 0.892748i \(-0.648774\pi\)
−0.450556 + 0.892748i \(0.648774\pi\)
\(480\) −2.88783e6 + 5.13729e6i −0.572095 + 1.01773i
\(481\) −1.22554e6 −0.241527
\(482\) 6.31777e6 + 227624.i 1.23864 + 0.0446273i
\(483\) 9.31828e6 9.31828e6i 1.81747 1.81747i
\(484\) −139045. + 1.92711e6i −0.0269800 + 0.373932i
\(485\) 2.97957e6 + 6.11566e6i 0.575174 + 1.18056i
\(486\) 2.64505e6 2.46108e6i 0.507975 0.472644i
\(487\) 1.74228e6 0.332887 0.166443 0.986051i \(-0.446772\pi\)
0.166443 + 0.986051i \(0.446772\pi\)
\(488\) 3.43554e6 + 4.27146e6i 0.653048 + 0.811946i
\(489\) 5.15589e6i 0.975060i
\(490\) 2.18056e6 966840.i 0.410278 0.181913i
\(491\) 2.11791e6 2.11791e6i 0.396463 0.396463i −0.480520 0.876984i \(-0.659552\pi\)
0.876984 + 0.480520i \(0.159552\pi\)
\(492\) −6.34016e6 7.32622e6i −1.18083 1.36448i
\(493\) −780007. + 780007.i −0.144538 + 0.144538i
\(494\) −7.72241e6 278232.i −1.42376 0.0512968i
\(495\) −1.47934e6 510087.i −0.271366 0.0935689i
\(496\) 960764. + 139368.i 0.175353 + 0.0254366i
\(497\) 1.14865e7i 2.08592i
\(498\) −114292. + 3.17219e6i −0.0206510 + 0.573173i
\(499\) −3.11132e6 3.11132e6i −0.559362 0.559362i 0.369764 0.929126i \(-0.379439\pi\)
−0.929126 + 0.369764i \(0.879439\pi\)
\(500\) −1.55965e6 + 5.36819e6i −0.278999 + 0.960292i
\(501\) −8.90314e6 + 8.90314e6i −1.58471 + 1.58471i
\(502\) −60768.9 + 56542.3i −0.0107627 + 0.0100142i
\(503\) −6.13731e6 −1.08158 −0.540790 0.841158i \(-0.681875\pi\)
−0.540790 + 0.841158i \(0.681875\pi\)
\(504\) 268720. 2.47752e6i 0.0471220 0.434451i
\(505\) −2.34509e6 + 6.80118e6i −0.409196 + 1.18674i
\(506\) 6.09743e6 5.67333e6i 1.05869 0.985059i
\(507\) 3.14978e6 + 3.14978e6i 0.544202 + 0.544202i
\(508\) 188284. 2.60954e6i 0.0323709 0.448647i
\(509\) 2.25154e6 + 2.25154e6i 0.385199 + 0.385199i 0.872971 0.487772i \(-0.162190\pi\)
−0.487772 + 0.872971i \(0.662190\pi\)
\(510\) −3.15247e6 1.21567e6i −0.536692 0.206963i
\(511\) 2.21732e6 0.375644
\(512\) −5.62278e6 1.88909e6i −0.947930 0.318477i
\(513\) 4.90250e6i 0.822478i
\(514\) −342012. + 9.49262e6i −0.0570996 + 1.58481i
\(515\) 1.87224e6 912162.i 0.311060 0.151549i
\(516\) 473541. + 34167.0i 0.0782949 + 0.00564914i
\(517\) 3.12237e6 + 3.12237e6i 0.513757 + 0.513757i
\(518\) 938884. + 1.00907e6i 0.153740 + 0.165232i
\(519\) 4.91470e6i 0.800900i
\(520\) −3.38362e6 + 7.18572e6i −0.548748 + 1.16537i
\(521\) 5.74956e6i 0.927983i −0.885840 0.463991i \(-0.846417\pi\)
0.885840 0.463991i \(-0.153583\pi\)
\(522\) −686518. + 638769.i −0.110275 + 0.102605i
\(523\) 530642. + 530642.i 0.0848296 + 0.0848296i 0.748248 0.663419i \(-0.230895\pi\)
−0.663419 + 0.748248i \(0.730895\pi\)
\(524\) −5.01887e6 5.79943e6i −0.798505 0.922693i
\(525\) −1.07403e6 8.80959e6i −0.170066 1.39495i
\(526\) 5.04948e6 + 181929.i 0.795760 + 0.0286706i
\(527\) 556587.i 0.0872985i
\(528\) 848867. 5.85185e6i 0.132512 0.913500i
\(529\) 1.50956e7 2.34536
\(530\) 8.85472e6 + 3.41461e6i 1.36926 + 0.528022i
\(531\) 2.40507e6 + 2.40507e6i 0.370162 + 0.370162i
\(532\) 5.68702e6 + 6.57150e6i 0.871176 + 1.00667i
\(533\) −9.23312e6 9.23312e6i −1.40777 1.40777i
\(534\) 2.92796e6 + 3.14683e6i 0.444337 + 0.477552i
\(535\) −969496. 334289.i −0.146441 0.0504937i
\(536\) 2.62000e6 2.10727e6i 0.393903 0.316816i
\(537\) −1.08818e7 −1.62841
\(538\) 6.59065e6 + 7.08331e6i 0.981685 + 1.05507i
\(539\) −1.69232e6 + 1.69232e6i −0.250905 + 0.250905i
\(540\) 4.63317e6 + 1.98113e6i 0.683745 + 0.292367i
\(541\) −3.82103e6 3.82103e6i −0.561290 0.561290i 0.368384 0.929674i \(-0.379911\pi\)
−0.929674 + 0.368384i \(0.879911\pi\)
\(542\) 5.23444e6 + 188593.i 0.765371 + 0.0275757i
\(543\) 1.22151e7i 1.77786i
\(544\) 609056. 3.34573e6i 0.0882389 0.484723i
\(545\) −7.84150e6 2.70380e6i −1.13086 0.389927i
\(546\) 454010. 1.26012e7i 0.0651755 1.80896i
\(547\) −2.22523e6 + 2.22523e6i −0.317985 + 0.317985i −0.847993 0.530008i \(-0.822189\pi\)
0.530008 + 0.847993i \(0.322189\pi\)
\(548\) −7.54083e6 544087.i −1.07267 0.0773957i
\(549\) −1.88909e6 + 1.88909e6i −0.267499 + 0.267499i
\(550\) −477880. 5.58854e6i −0.0673615 0.787755i
\(551\) 3.27017e6i 0.458872i
\(552\) 1.19122e7 9.58101e6i 1.66397 1.33833i
\(553\) 1.16129e7 1.61483
\(554\) −3.72815e6 4.00683e6i −0.516082 0.554660i
\(555\) 1.42809e6 695771.i 0.196800 0.0958813i
\(556\) 2.83908e6 2.45696e6i 0.389484 0.337063i
\(557\) −4.87327e6 + 4.87327e6i −0.665552 + 0.665552i −0.956683 0.291131i \(-0.905968\pi\)
0.291131 + 0.956683i \(0.405968\pi\)
\(558\) −17036.1 + 472841.i −0.00231624 + 0.0642879i
\(559\) 639857. 0.0866070
\(560\) 8.50864e6 2.71901e6i 1.14654 0.366388i
\(561\) 3.39008e6 0.454782
\(562\) 386083. 1.07158e7i 0.0515632 1.43115i
\(563\) −780658. + 780658.i −0.103798 + 0.103798i −0.757099 0.653301i \(-0.773384\pi\)
0.653301 + 0.757099i \(0.273384\pi\)
\(564\) 5.30382e6 + 6.12870e6i 0.702087 + 0.811280i
\(565\) −3.26168e6 6.69472e6i −0.429854 0.882289i
\(566\) −5.42149e6 5.82676e6i −0.711341 0.764515i
\(567\) −1.13451e7 −1.48200
\(568\) −1.43684e6 + 1.32472e7i −0.186869 + 1.72288i
\(569\) 2.98448e6i 0.386446i 0.981155 + 0.193223i \(0.0618940\pi\)
−0.981155 + 0.193223i \(0.938106\pi\)
\(570\) 9.15669e6 4.05999e6i 1.18046 0.523405i
\(571\) −6.54308e6 + 6.54308e6i −0.839831 + 0.839831i −0.988836 0.149005i \(-0.952393\pi\)
0.149005 + 0.988836i \(0.452393\pi\)
\(572\) 573501. 7.94850e6i 0.0732899 1.01577i
\(573\) −1.12998e7 + 1.12998e7i −1.43776 + 1.43776i
\(574\) −528753. + 1.46757e7i −0.0669843 + 1.85917i
\(575\) 8.93735e6 1.14191e7i 1.12730 1.44033i
\(576\) 619821. 2.82367e6i 0.0778413 0.354616i
\(577\) 4.70035e6i 0.587747i −0.955844 0.293874i \(-0.905056\pi\)
0.955844 0.293874i \(-0.0949445\pi\)
\(578\) −6.07829e6 218996.i −0.756767 0.0272657i
\(579\) 7.90792e6 + 7.90792e6i 0.980315 + 0.980315i
\(580\) −3.09052e6 1.32149e6i −0.381470 0.163115i
\(581\) 3.40204e6 3.40204e6i 0.418118 0.418118i
\(582\) −8.53435e6 9.17230e6i −1.04439 1.12246i
\(583\) −9.52214e6 −1.16028
\(584\) 2.55720e6 + 277362.i 0.310265 + 0.0336523i
\(585\) −3.65950e6 1.26182e6i −0.442112 0.152443i
\(586\) 5.92814e6 + 6.37128e6i 0.713140 + 0.766448i
\(587\) −3.44337e6 3.44337e6i −0.412466 0.412466i 0.470131 0.882597i \(-0.344207\pi\)
−0.882597 + 0.470131i \(0.844207\pi\)
\(588\) −3.32174e6 + 2.87466e6i −0.396207 + 0.342881i
\(589\) −1.16674e6 1.16674e6i −0.138576 0.138576i
\(590\) −4.38653e6 + 1.13751e7i −0.518790 + 1.34532i
\(591\) 5.15408e6 0.606992
\(592\) 956576. + 1.28118e6i 0.112180 + 0.150248i
\(593\) 2.46686e6i 0.288077i 0.989572 + 0.144038i \(0.0460089\pi\)
−0.989572 + 0.144038i \(0.953991\pi\)
\(594\) −5.05259e6 182041.i −0.587555 0.0211691i
\(595\) 2.24300e6 + 4.60383e6i 0.259739 + 0.533123i
\(596\) −1.27064e6 + 1.09962e6i −0.146524 + 0.126803i
\(597\) 5.28647e6 + 5.28647e6i 0.607058 + 0.607058i
\(598\) 1.50834e7 1.40343e7i 1.72483 1.60486i
\(599\) 5.16075e6i 0.587687i −0.955854 0.293843i \(-0.905066\pi\)
0.955854 0.293843i \(-0.0949344\pi\)
\(600\) −136674. 1.02943e7i −0.0154992 1.16740i
\(601\) 2.02863e6i 0.229095i −0.993418 0.114548i \(-0.963458\pi\)
0.993418 0.114548i \(-0.0365418\pi\)
\(602\) −490192. 526834.i −0.0551283 0.0592493i
\(603\) 1.15872e6 + 1.15872e6i 0.129773 + 0.129773i
\(604\) −200735. + 2.78211e6i −0.0223888 + 0.310300i
\(605\) −1.47832e6 3.03431e6i −0.164203 0.337032i
\(606\) 477048. 1.32406e7i 0.0527692 1.46462i
\(607\) 8.66214e6i 0.954231i 0.878841 + 0.477115i \(0.158318\pi\)
−0.878841 + 0.477115i \(0.841682\pi\)
\(608\) 5.73673e6 + 8.29019e6i 0.629369 + 0.909506i
\(609\) 5.33615e6 0.583022
\(610\) −8.93471e6 3.44546e6i −0.972200 0.374906i
\(611\) 7.72390e6 + 7.72390e6i 0.837016 + 0.837016i
\(612\) 1.65310e6 + 119275.i 0.178411 + 0.0128727i
\(613\) −2.59049e6 2.59049e6i −0.278439 0.278439i 0.554047 0.832486i \(-0.313083\pi\)
−0.832486 + 0.554047i \(0.813083\pi\)
\(614\) −763912. + 710780.i −0.0817753 + 0.0760877i
\(615\) 1.60010e7 + 5.51725e6i 1.70592 + 0.588213i
\(616\) −6.98386e6 + 5.61712e6i −0.741556 + 0.596433i
\(617\) 1.36722e6 0.144586 0.0722929 0.997383i \(-0.476968\pi\)
0.0722929 + 0.997383i \(0.476968\pi\)
\(618\) −2.80800e6 + 2.61270e6i −0.295751 + 0.275181i
\(619\) −4.91864e6 + 4.91864e6i −0.515963 + 0.515963i −0.916347 0.400384i \(-0.868877\pi\)
0.400384 + 0.916347i \(0.368877\pi\)
\(620\) −1.57413e6 + 631158.i −0.164461 + 0.0659415i
\(621\) −9.24256e6 9.24256e6i −0.961753 0.961753i
\(622\) 466722. 1.29540e7i 0.0483706 1.34254i
\(623\) 6.51497e6i 0.672500i
\(624\) 2.09987e6 1.44759e7i 0.215889 1.48828i
\(625\) −2.34629e6 9.47958e6i −0.240260 0.970709i
\(626\) 1.16439e7 + 419521.i 1.18758 + 0.0427876i
\(627\) −7.10644e6 + 7.10644e6i −0.721910 + 0.721910i
\(628\) −1.88553e6 + 1.63175e6i −0.190780 + 0.165103i
\(629\) −648187. + 648187.i −0.0653241 + 0.0653241i
\(630\) 1.76459e6 + 3.97978e6i 0.177131 + 0.399491i
\(631\) 2.16060e6i 0.216023i 0.994150 + 0.108012i \(0.0344484\pi\)
−0.994150 + 0.108012i \(0.965552\pi\)
\(632\) 1.33929e7 + 1.45264e6i 1.33378 + 0.144666i
\(633\) 6.49868e6 0.644638
\(634\) 8.51726e6 7.92487e6i 0.841544 0.783013i
\(635\) 2.00183e6 + 4.10883e6i 0.197012 + 0.404374i
\(636\) −1.74326e7 1.25780e6i −1.70891 0.123302i
\(637\) −4.18634e6 + 4.18634e6i −0.408777 + 0.408777i
\(638\) 3.37029e6 + 121429.i 0.327805 + 0.0118106i
\(639\) −6.49415e6 −0.629173
\(640\) 1.01530e7 2.07146e6i 0.979815 0.199906i
\(641\) −554349. −0.0532891 −0.0266445 0.999645i \(-0.508482\pi\)
−0.0266445 + 0.999645i \(0.508482\pi\)
\(642\) 1.88742e6 + 68002.3i 0.180730 + 0.00651158i
\(643\) 8.08210e6 8.08210e6i 0.770898 0.770898i −0.207366 0.978263i \(-0.566489\pi\)
0.978263 + 0.207366i \(0.0664890\pi\)
\(644\) −2.31107e7 1.66748e6i −2.19583 0.158434i
\(645\) −745609. + 363263.i −0.0705686 + 0.0343812i
\(646\) −4.23152e6 + 3.93721e6i −0.398947 + 0.371199i
\(647\) −520128. −0.0488483 −0.0244242 0.999702i \(-0.507775\pi\)
−0.0244242 + 0.999702i \(0.507775\pi\)
\(648\) −1.30841e7 1.41914e6i −1.22407 0.132766i
\(649\) 1.22325e7i 1.13999i
\(650\) −1.18215e6 1.38245e7i −0.109746 1.28342i
\(651\) 1.90385e6 1.90385e6i 0.176068 0.176068i
\(652\) −6.85499e6 + 5.93236e6i −0.631521 + 0.546523i
\(653\) 7.53149e6 7.53149e6i 0.691191 0.691191i −0.271303 0.962494i \(-0.587455\pi\)
0.962494 + 0.271303i \(0.0874546\pi\)
\(654\) 1.52659e7 + 550018.i 1.39565 + 0.0502843i
\(655\) 1.26664e7 + 4.36745e6i 1.15358 + 0.397763i
\(656\) −2.44557e6 + 1.68591e7i −0.221881 + 1.52959i
\(657\) 1.25361e6i 0.113305i
\(658\) 442325. 1.22768e7i 0.0398269 1.10541i
\(659\) 682456. + 682456.i 0.0612155 + 0.0612155i 0.737052 0.675836i \(-0.236217\pi\)
−0.675836 + 0.737052i \(0.736217\pi\)
\(660\) 3.84428e6 + 9.58778e6i 0.343522 + 0.856758i
\(661\) 8.43310e6 8.43310e6i 0.750730 0.750730i −0.223886 0.974615i \(-0.571874\pi\)
0.974615 + 0.223886i \(0.0718743\pi\)
\(662\) −2.63837e6 + 2.45486e6i −0.233986 + 0.217712i
\(663\) 8.38616e6 0.740934
\(664\) 4.34908e6 3.49796e6i 0.382804 0.307889i
\(665\) −1.43526e7 4.94888e6i −1.25857 0.433963i
\(666\) −570498. + 530818.i −0.0498389 + 0.0463725i
\(667\) 6.16517e6 + 6.16517e6i 0.536575 + 0.536575i
\(668\) 2.20811e7 + 1.59320e6i 1.91461 + 0.138143i
\(669\) 9.23992e6 + 9.23992e6i 0.798183 + 0.798183i
\(670\) −2.11335e6 + 5.48031e6i −0.181880 + 0.471648i
\(671\) 9.60816e6 0.823823
\(672\) −1.35277e7 + 9.36100e6i −1.15558 + 0.799648i
\(673\) 3.92414e6i 0.333970i 0.985959 + 0.166985i \(0.0534031\pi\)
−0.985959 + 0.166985i \(0.946597\pi\)
\(674\) 59214.6 1.64352e6i 0.00502087 0.139355i
\(675\) −8.73801e6 + 1.06530e6i −0.738164 + 0.0899937i
\(676\) 563646. 7.81191e6i 0.0474394 0.657492i
\(677\) 3.71085e6 + 3.71085e6i 0.311173 + 0.311173i 0.845364 0.534191i \(-0.179384\pi\)
−0.534191 + 0.845364i \(0.679384\pi\)
\(678\) 9.34241e6 + 1.00408e7i 0.780521 + 0.838866i
\(679\) 1.89896e7i 1.58067i
\(680\) 2.01093e6 + 5.59010e6i 0.166772 + 0.463604i
\(681\) 5.38377e6i 0.444855i
\(682\) 1.24579e6 1.15914e6i 0.102561 0.0954278i
\(683\) −1.21513e7 1.21513e7i −0.996711 0.996711i 0.00328325 0.999995i \(-0.498955\pi\)
−0.999995 + 0.00328325i \(0.998955\pi\)
\(684\) −3.71534e6 + 3.21528e6i −0.303640 + 0.262772i
\(685\) 1.18733e7 5.78472e6i 0.966822 0.471038i
\(686\) −8.17227e6 294441.i −0.663029 0.0238884i
\(687\) 9.45322e6i 0.764166i
\(688\) −499429. 668907.i −0.0402256 0.0538759i
\(689\) −2.35552e7 −1.89034
\(690\) −9.60868e6 + 2.49171e7i −0.768318 + 1.99239i
\(691\) 1.43382e6 + 1.43382e6i 0.114235 + 0.114235i 0.761914 0.647679i \(-0.224260\pi\)
−0.647679 + 0.761914i \(0.724260\pi\)
\(692\) −6.53432e6 + 5.65484e6i −0.518722 + 0.448906i
\(693\) −3.08867e6 3.08867e6i −0.244309 0.244309i
\(694\) 7.13178e6 + 7.66489e6i 0.562081 + 0.604098i
\(695\) −2.13806e6 + 6.20075e6i −0.167903 + 0.486948i
\(696\) 6.15410e6 + 667494.i 0.481550 + 0.0522305i
\(697\) −9.76676e6 −0.761498
\(698\) −1.26588e7 1.36051e7i −0.983456 1.05697i
\(699\) −4.12534e6 + 4.12534e6i −0.319350 + 0.319350i
\(700\) −1.04770e7 + 1.15643e7i −0.808149 + 0.892017i
\(701\) −1.39647e7 1.39647e7i −1.07334 1.07334i −0.997089 0.0762462i \(-0.975707\pi\)
−0.0762462 0.997089i \(-0.524293\pi\)
\(702\) −1.24988e7 450321.i −0.957248 0.0344889i
\(703\) 2.71752e6i 0.207388i
\(704\) −8.75702e6 + 5.60453e6i −0.665924 + 0.426194i
\(705\) −1.33855e7 4.61542e6i −1.01429 0.349734i
\(706\) −823302. + 2.28509e7i −0.0621652 + 1.72541i
\(707\) −1.42000e7 + 1.42000e7i −1.06841 + 1.06841i
\(708\) 1.61581e6 2.23946e7i 0.121146 1.67903i
\(709\) 1.13053e6 1.13053e6i 0.0844631 0.0844631i −0.663613 0.748076i \(-0.730978\pi\)
0.748076 + 0.663613i \(0.230978\pi\)
\(710\) −9.43522e6 2.12797e7i −0.702435 1.58424i
\(711\) 6.56558e6i 0.487079i
\(712\) 814950. 7.51361e6i 0.0602464 0.555454i
\(713\) 4.39926e6 0.324083
\(714\) −6.42461e6 6.90486e6i −0.471629 0.506885i
\(715\) 6.09745e6 + 1.25152e7i 0.446050 + 0.915532i
\(716\) 1.25205e7 + 1.44678e7i 0.912726 + 1.05468i
\(717\) −5.03191e6 + 5.03191e6i −0.365540 + 0.365540i
\(718\) −708095. + 1.96533e7i −0.0512602 + 1.42274i
\(719\) −1.86153e7 −1.34291 −0.671457 0.741043i \(-0.734331\pi\)
−0.671457 + 0.741043i \(0.734331\pi\)
\(720\) 1.53725e6 + 4.81054e6i 0.110513 + 0.345830i
\(721\) 5.81347e6 0.416483
\(722\) 112621. 3.12581e6i 0.00804035 0.223162i
\(723\) 1.43819e7 1.43819e7i 1.02322 1.02322i
\(724\) 1.62405e7 1.40547e7i 1.15147 0.996492i
\(725\) 5.82861e6 710598.i 0.411832 0.0502087i
\(726\) 4.23435e6 + 4.55087e6i 0.298157 + 0.320445i
\(727\) 1.57482e7 1.10508 0.552540 0.833486i \(-0.313659\pi\)
0.552540 + 0.833486i \(0.313659\pi\)
\(728\) −1.72762e7 + 1.38953e7i −1.20815 + 0.971713i
\(729\) 6.04338e6i 0.421173i
\(730\) −4.10776e6 + 1.82134e6i −0.285298 + 0.126498i
\(731\) 338419. 338419.i 0.0234240 0.0234240i
\(732\) 1.75901e7 + 1.26916e6i 1.21336 + 0.0875466i
\(733\) −1.25861e7 + 1.25861e7i −0.865229 + 0.865229i −0.991940 0.126711i \(-0.959558\pi\)
0.126711 + 0.991940i \(0.459558\pi\)
\(734\) 432041. 1.19914e7i 0.0295995 0.821541i
\(735\) 2.50155e6 7.25493e6i 0.170801 0.495353i
\(736\) −2.64446e7 4.81397e6i −1.79946 0.327574i
\(737\) 5.89338e6i 0.399665i
\(738\) −8.29721e6 298942.i −0.560778 0.0202044i
\(739\) −1.69221e7 1.69221e7i −1.13984 1.13984i −0.988478 0.151362i \(-0.951634\pi\)
−0.151362 0.988478i \(-0.548366\pi\)
\(740\) −2.56822e6 1.09816e6i −0.172406 0.0737204i
\(741\) −1.75794e7 + 1.75794e7i −1.17614 + 1.17614i
\(742\) 1.80456e7 + 1.93945e7i 1.20326 + 1.29321i
\(743\) 2.92120e6 0.194128 0.0970641 0.995278i \(-0.469055\pi\)
0.0970641 + 0.995278i \(0.469055\pi\)
\(744\) 2.43383e6 1.95753e6i 0.161198 0.129651i
\(745\) 956899. 2.77518e6i 0.0631649 0.183189i
\(746\) 1.47914e7 + 1.58970e7i 0.973107 + 1.04585i
\(747\) 1.92342e6 + 1.92342e6i 0.126117 + 0.126117i
\(748\) −3.90062e6 4.50727e6i −0.254906 0.294550i
\(749\) −2.02418e6 2.02418e6i −0.131839 0.131839i
\(750\) 9.22607e6 + 1.54383e7i 0.598913 + 1.00218i
\(751\) −2.77456e7 −1.79513 −0.897563 0.440887i \(-0.854664\pi\)
−0.897563 + 0.440887i \(0.854664\pi\)
\(752\) 2.04582e6 1.41033e7i 0.131924 0.909447i
\(753\) 267049.i 0.0171634i
\(754\) 8.33719e6 + 300383.i 0.534062 + 0.0192418i
\(755\) −2.13421e6 4.38054e6i −0.136261 0.279680i
\(756\) 9.20448e6 + 1.06360e7i 0.585727 + 0.676822i
\(757\) 6.25430e6 + 6.25430e6i 0.396679 + 0.396679i 0.877060 0.480381i \(-0.159502\pi\)
−0.480381 + 0.877060i \(0.659502\pi\)
\(758\) −2.95944e6 + 2.75361e6i −0.187084 + 0.174072i
\(759\) 2.67952e7i 1.68831i
\(760\) −1.59336e7 7.50282e6i −1.00065 0.471184i
\(761\) 2.20364e6i