Properties

Label 80.6.l.a.21.12
Level $80$
Weight $6$
Character 80.21
Analytic conductor $12.831$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $2$

Related objects

Downloads

Learn more about

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 21.12
Character \(\chi\) \(=\) 80.21
Dual form 80.6.l.a.61.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.40887 - 4.51438i) q^{2} +(-13.5228 + 13.5228i) q^{3} +(-8.75923 + 30.7778i) q^{4} +(17.6777 + 17.6777i) q^{5} +(107.145 + 14.9496i) q^{6} +90.4254i q^{7} +(168.802 - 65.3752i) q^{8} -122.733i q^{9} +O(q^{10})\) \(q+(-3.40887 - 4.51438i) q^{2} +(-13.5228 + 13.5228i) q^{3} +(-8.75923 + 30.7778i) q^{4} +(17.6777 + 17.6777i) q^{5} +(107.145 + 14.9496i) q^{6} +90.4254i q^{7} +(168.802 - 65.3752i) q^{8} -122.733i q^{9} +(19.5428 - 140.065i) q^{10} +(234.581 + 234.581i) q^{11} +(-297.754 - 534.653i) q^{12} +(79.2296 - 79.2296i) q^{13} +(408.214 - 308.248i) q^{14} -478.104 q^{15} +(-870.552 - 539.180i) q^{16} -1830.78 q^{17} +(-554.065 + 418.382i) q^{18} +(18.5194 - 18.5194i) q^{19} +(-698.923 + 389.238i) q^{20} +(-1222.81 - 1222.81i) q^{21} +(259.332 - 1858.65i) q^{22} +2182.36i q^{23} +(-1398.62 + 3166.73i) q^{24} +625.000i q^{25} +(-627.755 - 87.5890i) q^{26} +(-1626.34 - 1626.34i) q^{27} +(-2783.10 - 792.056i) q^{28} +(-2900.05 + 2900.05i) q^{29} +(1629.79 + 2158.34i) q^{30} +4150.49 q^{31} +(533.534 + 5768.00i) q^{32} -6344.40 q^{33} +(6240.90 + 8264.84i) q^{34} +(-1598.51 + 1598.51i) q^{35} +(3777.47 + 1075.05i) q^{36} +(-8994.45 - 8994.45i) q^{37} +(-146.734 - 20.4734i) q^{38} +2142.81i q^{39} +(4139.71 + 1828.34i) q^{40} -19670.9i q^{41} +(-1351.82 + 9688.59i) q^{42} +(-6175.34 - 6175.34i) q^{43} +(-9274.66 + 5165.16i) q^{44} +(2169.64 - 2169.64i) q^{45} +(9852.01 - 7439.38i) q^{46} -7890.57 q^{47} +(19063.6 - 4481.08i) q^{48} +8630.25 q^{49} +(2821.49 - 2130.54i) q^{50} +(24757.3 - 24757.3i) q^{51} +(1744.53 + 3132.51i) q^{52} +(-16351.4 - 16351.4i) q^{53} +(-1797.94 + 12885.9i) q^{54} +8293.71i q^{55} +(5911.58 + 15264.0i) q^{56} +500.870i q^{57} +(22977.8 + 3206.04i) q^{58} +(5644.32 + 5644.32i) q^{59} +(4187.82 - 14715.0i) q^{60} +(-10538.4 + 10538.4i) q^{61} +(-14148.5 - 18736.9i) q^{62} +11098.2 q^{63} +(24220.2 - 22070.9i) q^{64} +2801.19 q^{65} +(21627.2 + 28641.0i) q^{66} +(9300.98 - 9300.98i) q^{67} +(16036.2 - 56347.5i) q^{68} +(-29511.7 - 29511.7i) q^{69} +(12665.4 + 1767.17i) q^{70} +30077.2i q^{71} +(-8023.72 - 20717.6i) q^{72} +89964.1i q^{73} +(-9943.45 + 71265.3i) q^{74} +(-8451.76 - 8451.76i) q^{75} +(407.773 + 732.205i) q^{76} +(-21212.1 + 21212.1i) q^{77} +(9673.48 - 7304.57i) q^{78} +29546.6 q^{79} +(-5857.88 - 24920.8i) q^{80} +73809.7 q^{81} +(-88801.9 + 67055.6i) q^{82} +(4504.74 - 4504.74i) q^{83} +(48346.2 - 26924.5i) q^{84} +(-32364.0 - 32364.0i) q^{85} +(-6826.90 + 48928.8i) q^{86} -78433.8i q^{87} +(54933.6 + 24262.0i) q^{88} +46696.7i q^{89} +(-17190.6 - 2398.56i) q^{90} +(7164.36 + 7164.36i) q^{91} +(-67168.4 - 19115.8i) q^{92} +(-56126.3 + 56126.3i) q^{93} +(26897.9 + 35621.0i) q^{94} +654.761 q^{95} +(-85214.4 - 70784.7i) q^{96} -94069.4 q^{97} +(-29419.4 - 38960.2i) q^{98} +(28791.0 - 28791.0i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.40887 4.51438i −0.602609 0.798037i
\(3\) −13.5228 + 13.5228i −0.867489 + 0.867489i −0.992194 0.124705i \(-0.960202\pi\)
0.124705 + 0.992194i \(0.460202\pi\)
\(4\) −8.75923 + 30.7778i −0.273726 + 0.961808i
\(5\) 17.6777 + 17.6777i 0.316228 + 0.316228i
\(6\) 107.145 + 14.9496i 1.21505 + 0.169532i
\(7\) 90.4254i 0.697502i 0.937216 + 0.348751i \(0.113394\pi\)
−0.937216 + 0.348751i \(0.886606\pi\)
\(8\) 168.802 65.3752i 0.932508 0.361150i
\(9\) 122.733i 0.505076i
\(10\) 19.5428 140.065i 0.0617999 0.442923i
\(11\) 234.581 + 234.581i 0.584537 + 0.584537i 0.936147 0.351610i \(-0.114366\pi\)
−0.351610 + 0.936147i \(0.614366\pi\)
\(12\) −297.754 534.653i −0.596904 1.07181i
\(13\) 79.2296 79.2296i 0.130026 0.130026i −0.639099 0.769125i \(-0.720693\pi\)
0.769125 + 0.639099i \(0.220693\pi\)
\(14\) 408.214 308.248i 0.556632 0.420320i
\(15\) −478.104 −0.548648
\(16\) −870.552 539.180i −0.850148 0.526543i
\(17\) −1830.78 −1.53644 −0.768218 0.640189i \(-0.778856\pi\)
−0.768218 + 0.640189i \(0.778856\pi\)
\(18\) −554.065 + 418.382i −0.403069 + 0.304363i
\(19\) 18.5194 18.5194i 0.0117691 0.0117691i −0.701198 0.712967i \(-0.747351\pi\)
0.712967 + 0.701198i \(0.247351\pi\)
\(20\) −698.923 + 389.238i −0.390710 + 0.217591i
\(21\) −1222.81 1222.81i −0.605075 0.605075i
\(22\) 259.332 1858.65i 0.114235 0.818729i
\(23\) 2182.36i 0.860215i 0.902778 + 0.430108i \(0.141524\pi\)
−0.902778 + 0.430108i \(0.858476\pi\)
\(24\) −1398.62 + 3166.73i −0.495646 + 1.12223i
\(25\) 625.000i 0.200000i
\(26\) −627.755 87.5890i −0.182120 0.0254107i
\(27\) −1626.34 1626.34i −0.429342 0.429342i
\(28\) −2783.10 792.056i −0.670862 0.190924i
\(29\) −2900.05 + 2900.05i −0.640341 + 0.640341i −0.950639 0.310298i \(-0.899571\pi\)
0.310298 + 0.950639i \(0.399571\pi\)
\(30\) 1629.79 + 2158.34i 0.330620 + 0.437842i
\(31\) 4150.49 0.775702 0.387851 0.921722i \(-0.373217\pi\)
0.387851 + 0.921722i \(0.373217\pi\)
\(32\) 533.534 + 5768.00i 0.0921058 + 0.995749i
\(33\) −6344.40 −1.01416
\(34\) 6240.90 + 8264.84i 0.925869 + 1.22613i
\(35\) −1598.51 + 1598.51i −0.220569 + 0.220569i
\(36\) 3777.47 + 1075.05i 0.485786 + 0.138252i
\(37\) −8994.45 8994.45i −1.08012 1.08012i −0.996498 0.0836183i \(-0.973352\pi\)
−0.0836183 0.996498i \(-0.526648\pi\)
\(38\) −146.734 20.4734i −0.0164844 0.00230002i
\(39\) 2142.81i 0.225592i
\(40\) 4139.71 + 1828.34i 0.409091 + 0.180679i
\(41\) 19670.9i 1.82753i −0.406241 0.913766i \(-0.633161\pi\)
0.406241 0.913766i \(-0.366839\pi\)
\(42\) −1351.82 + 9688.59i −0.118249 + 0.847496i
\(43\) −6175.34 6175.34i −0.509319 0.509319i 0.404998 0.914317i \(-0.367272\pi\)
−0.914317 + 0.404998i \(0.867272\pi\)
\(44\) −9274.66 + 5165.16i −0.722215 + 0.402209i
\(45\) 2169.64 2169.64i 0.159719 0.159719i
\(46\) 9852.01 7439.38i 0.686483 0.518373i
\(47\) −7890.57 −0.521031 −0.260516 0.965470i \(-0.583893\pi\)
−0.260516 + 0.965470i \(0.583893\pi\)
\(48\) 19063.6 4481.08i 1.19427 0.280724i
\(49\) 8630.25 0.513492
\(50\) 2821.49 2130.54i 0.159607 0.120522i
\(51\) 24757.3 24757.3i 1.33284 1.33284i
\(52\) 1744.53 + 3132.51i 0.0894683 + 0.160651i
\(53\) −16351.4 16351.4i −0.799588 0.799588i 0.183443 0.983030i \(-0.441276\pi\)
−0.983030 + 0.183443i \(0.941276\pi\)
\(54\) −1797.94 + 12885.9i −0.0839055 + 0.601356i
\(55\) 8293.71i 0.369694i
\(56\) 5911.58 + 15264.0i 0.251903 + 0.650425i
\(57\) 500.870i 0.0204192i
\(58\) 22977.8 + 3206.04i 0.896890 + 0.125141i
\(59\) 5644.32 + 5644.32i 0.211097 + 0.211097i 0.804733 0.593637i \(-0.202308\pi\)
−0.593637 + 0.804733i \(0.702308\pi\)
\(60\) 4187.82 14715.0i 0.150179 0.527694i
\(61\) −10538.4 + 10538.4i −0.362618 + 0.362618i −0.864776 0.502158i \(-0.832540\pi\)
0.502158 + 0.864776i \(0.332540\pi\)
\(62\) −14148.5 18736.9i −0.467445 0.619039i
\(63\) 11098.2 0.352291
\(64\) 24220.2 22070.9i 0.739141 0.673551i
\(65\) 2801.19 0.0822354
\(66\) 21627.2 + 28641.0i 0.611141 + 0.809336i
\(67\) 9300.98 9300.98i 0.253129 0.253129i −0.569123 0.822252i \(-0.692717\pi\)
0.822252 + 0.569123i \(0.192717\pi\)
\(68\) 16036.2 56347.5i 0.420562 1.47776i
\(69\) −29511.7 29511.7i −0.746227 0.746227i
\(70\) 12665.4 + 1767.17i 0.308939 + 0.0431055i
\(71\) 30077.2i 0.708096i 0.935227 + 0.354048i \(0.115195\pi\)
−0.935227 + 0.354048i \(0.884805\pi\)
\(72\) −8023.72 20717.6i −0.182408 0.470987i
\(73\) 89964.1i 1.97589i 0.154818 + 0.987943i \(0.450521\pi\)
−0.154818 + 0.987943i \(0.549479\pi\)
\(74\) −9943.45 + 71265.3i −0.211085 + 1.51286i
\(75\) −8451.76 8451.76i −0.173498 0.173498i
\(76\) 407.773 + 732.205i 0.00809812 + 0.0145411i
\(77\) −21212.1 + 21212.1i −0.407715 + 0.407715i
\(78\) 9673.48 7304.57i 0.180030 0.135943i
\(79\) 29546.6 0.532647 0.266323 0.963884i \(-0.414191\pi\)
0.266323 + 0.963884i \(0.414191\pi\)
\(80\) −5857.88 24920.8i −0.102333 0.435348i
\(81\) 73809.7 1.24997
\(82\) −88801.9 + 67055.6i −1.45844 + 1.10129i
\(83\) 4504.74 4504.74i 0.0717753 0.0717753i −0.670308 0.742083i \(-0.733838\pi\)
0.742083 + 0.670308i \(0.233838\pi\)
\(84\) 48346.2 26924.5i 0.747591 0.416341i
\(85\) −32364.0 32364.0i −0.485864 0.485864i
\(86\) −6826.90 + 48928.8i −0.0995353 + 0.713375i
\(87\) 78433.8i 1.11098i
\(88\) 54933.6 + 24262.0i 0.756191 + 0.333979i
\(89\) 46696.7i 0.624901i 0.949934 + 0.312451i \(0.101150\pi\)
−0.949934 + 0.312451i \(0.898850\pi\)
\(90\) −17190.6 2398.56i −0.223710 0.0312136i
\(91\) 7164.36 + 7164.36i 0.0906931 + 0.0906931i
\(92\) −67168.4 19115.8i −0.827362 0.235463i
\(93\) −56126.3 + 56126.3i −0.672914 + 0.672914i
\(94\) 26897.9 + 35621.0i 0.313978 + 0.415802i
\(95\) 654.761 0.00744345
\(96\) −85214.4 70784.7i −0.943703 0.783901i
\(97\) −94069.4 −1.01512 −0.507562 0.861615i \(-0.669453\pi\)
−0.507562 + 0.861615i \(0.669453\pi\)
\(98\) −29419.4 38960.2i −0.309434 0.409785i
\(99\) 28791.0 28791.0i 0.295235 0.295235i
\(100\) −19236.2 5474.52i −0.192362 0.0547452i
\(101\) −63248.9 63248.9i −0.616949 0.616949i 0.327798 0.944748i \(-0.393693\pi\)
−0.944748 + 0.327798i \(0.893693\pi\)
\(102\) −196158. 27369.5i −1.86684 0.260475i
\(103\) 122001.i 1.13311i 0.824024 + 0.566554i \(0.191724\pi\)
−0.824024 + 0.566554i \(0.808276\pi\)
\(104\) 8194.45 18553.8i 0.0742911 0.168209i
\(105\) 43232.7i 0.382683i
\(106\) −18076.7 + 129556.i −0.156262 + 1.11994i
\(107\) −68328.2 68328.2i −0.576953 0.576953i 0.357110 0.934062i \(-0.383762\pi\)
−0.934062 + 0.357110i \(0.883762\pi\)
\(108\) 64300.9 35809.9i 0.530466 0.295422i
\(109\) 25897.5 25897.5i 0.208782 0.208782i −0.594968 0.803749i \(-0.702835\pi\)
0.803749 + 0.594968i \(0.202835\pi\)
\(110\) 37440.9 28272.2i 0.295029 0.222781i
\(111\) 243261. 1.87398
\(112\) 48755.6 78720.0i 0.367265 0.592980i
\(113\) −101724. −0.749426 −0.374713 0.927141i \(-0.622259\pi\)
−0.374713 + 0.927141i \(0.622259\pi\)
\(114\) 2261.12 1707.40i 0.0162953 0.0123048i
\(115\) −38579.1 + 38579.1i −0.272024 + 0.272024i
\(116\) −63855.2 114660.i −0.440607 0.791162i
\(117\) −9724.11 9724.11i −0.0656728 0.0656728i
\(118\) 6239.85 44721.3i 0.0412543 0.295672i
\(119\) 165549.i 1.07167i
\(120\) −80704.9 + 31256.1i −0.511619 + 0.198145i
\(121\) 50994.1i 0.316633i
\(122\) 83498.2 + 11650.3i 0.507899 + 0.0708658i
\(123\) 266006. + 266006.i 1.58536 + 1.58536i
\(124\) −36355.1 + 127743.i −0.212330 + 0.746077i
\(125\) −11048.5 + 11048.5i −0.0632456 + 0.0632456i
\(126\) −37832.3 50101.5i −0.212294 0.281141i
\(127\) 278343. 1.53134 0.765669 0.643235i \(-0.222408\pi\)
0.765669 + 0.643235i \(0.222408\pi\)
\(128\) −182200. 34102.2i −0.982931 0.183974i
\(129\) 167016. 0.883657
\(130\) −9548.88 12645.6i −0.0495558 0.0656269i
\(131\) −270701. + 270701.i −1.37820 + 1.37820i −0.530534 + 0.847663i \(0.678009\pi\)
−0.847663 + 0.530534i \(0.821991\pi\)
\(132\) 55572.1 195267.i 0.277601 0.975426i
\(133\) 1674.63 + 1674.63i 0.00820898 + 0.00820898i
\(134\) −73694.0 10282.3i −0.354544 0.0494686i
\(135\) 57500.0i 0.271540i
\(136\) −309039. + 119688.i −1.43274 + 0.554884i
\(137\) 107009.i 0.487102i 0.969888 + 0.243551i \(0.0783123\pi\)
−0.969888 + 0.243551i \(0.921688\pi\)
\(138\) −32625.4 + 233828.i −0.145834 + 1.04520i
\(139\) 113252. + 113252.i 0.497174 + 0.497174i 0.910557 0.413383i \(-0.135653\pi\)
−0.413383 + 0.910557i \(0.635653\pi\)
\(140\) −35197.0 63200.4i −0.151770 0.272521i
\(141\) 106703. 106703.i 0.451989 0.451989i
\(142\) 135780. 102529.i 0.565087 0.426705i
\(143\) 37171.6 0.152010
\(144\) −66175.4 + 106846.i −0.265944 + 0.429389i
\(145\) −102532. −0.404987
\(146\) 406132. 306676.i 1.57683 1.19069i
\(147\) −116705. + 116705.i −0.445449 + 0.445449i
\(148\) 355614. 198045.i 1.33452 0.743208i
\(149\) −83119.9 83119.9i −0.306718 0.306718i 0.536917 0.843635i \(-0.319589\pi\)
−0.843635 + 0.536917i \(0.819589\pi\)
\(150\) −9343.50 + 66965.4i −0.0339064 + 0.243009i
\(151\) 337720.i 1.20535i 0.797985 + 0.602677i \(0.205899\pi\)
−0.797985 + 0.602677i \(0.794101\pi\)
\(152\) 1915.41 4336.83i 0.00672437 0.0152252i
\(153\) 224698.i 0.776016i
\(154\) 168069. + 23450.2i 0.571065 + 0.0796791i
\(155\) 73371.0 + 73371.0i 0.245299 + 0.245299i
\(156\) −65951.2 18769.4i −0.216976 0.0617503i
\(157\) −117288. + 117288.i −0.379755 + 0.379755i −0.871014 0.491258i \(-0.836537\pi\)
0.491258 + 0.871014i \(0.336537\pi\)
\(158\) −100720. 133384.i −0.320977 0.425072i
\(159\) 442235. 1.38727
\(160\) −92533.1 + 111396.i −0.285757 + 0.344010i
\(161\) −197341. −0.600001
\(162\) −251608. 333205.i −0.753245 0.997526i
\(163\) −73700.8 + 73700.8i −0.217272 + 0.217272i −0.807348 0.590076i \(-0.799098\pi\)
0.590076 + 0.807348i \(0.299098\pi\)
\(164\) 605428. + 172302.i 1.75773 + 0.500243i
\(165\) −112154. 112154.i −0.320705 0.320705i
\(166\) −35692.2 4980.04i −0.100532 0.0140269i
\(167\) 670797.i 1.86123i −0.366002 0.930614i \(-0.619274\pi\)
0.366002 0.930614i \(-0.380726\pi\)
\(168\) −286353. 126471.i −0.782760 0.345714i
\(169\) 358738.i 0.966187i
\(170\) −35778.7 + 256428.i −0.0949515 + 0.680523i
\(171\) −2272.95 2272.95i −0.00594429 0.00594429i
\(172\) 244155. 135973.i 0.629281 0.350453i
\(173\) 395626. 395626.i 1.00501 1.00501i 0.00502102 0.999987i \(-0.498402\pi\)
0.999987 0.00502102i \(-0.00159825\pi\)
\(174\) −354080. + 267371.i −0.886601 + 0.669485i
\(175\) −56515.9 −0.139500
\(176\) −77733.6 330697.i −0.189159 0.804727i
\(177\) −152654. −0.366248
\(178\) 210807. 159183.i 0.498694 0.376571i
\(179\) 130068. 130068.i 0.303416 0.303416i −0.538933 0.842349i \(-0.681172\pi\)
0.842349 + 0.538933i \(0.181172\pi\)
\(180\) 47772.5 + 85781.2i 0.109900 + 0.197338i
\(181\) −65586.3 65586.3i −0.148805 0.148805i 0.628779 0.777584i \(-0.283555\pi\)
−0.777584 + 0.628779i \(0.783555\pi\)
\(182\) 7920.27 56765.0i 0.0177240 0.127029i
\(183\) 285017.i 0.629134i
\(184\) 142672. + 368387.i 0.310667 + 0.802157i
\(185\) 318002.i 0.683125i
\(186\) 444703. + 62048.2i 0.942513 + 0.131506i
\(187\) −429467. 429467.i −0.898103 0.898103i
\(188\) 69115.3 242855.i 0.142620 0.501132i
\(189\) 147063. 147063.i 0.299467 0.299467i
\(190\) −2232.00 2955.84i −0.00448548 0.00594014i
\(191\) −526152. −1.04358 −0.521792 0.853073i \(-0.674736\pi\)
−0.521792 + 0.853073i \(0.674736\pi\)
\(192\) −29064.0 + 625986.i −0.0568987 + 1.22550i
\(193\) 643627. 1.24377 0.621886 0.783108i \(-0.286367\pi\)
0.621886 + 0.783108i \(0.286367\pi\)
\(194\) 320670. + 424665.i 0.611722 + 0.810106i
\(195\) −37880.0 + 37880.0i −0.0713383 + 0.0713383i
\(196\) −75594.3 + 265621.i −0.140556 + 0.493880i
\(197\) 313928. + 313928.i 0.576322 + 0.576322i 0.933888 0.357566i \(-0.116393\pi\)
−0.357566 + 0.933888i \(0.616393\pi\)
\(198\) −228118. 31828.7i −0.413520 0.0576973i
\(199\) 482626.i 0.863929i −0.901891 0.431964i \(-0.857821\pi\)
0.901891 0.431964i \(-0.142179\pi\)
\(200\) 40859.5 + 105501.i 0.0722301 + 0.186502i
\(201\) 251551.i 0.439173i
\(202\) −69922.3 + 501137.i −0.120569 + 0.864127i
\(203\) −262238. 262238.i −0.446639 0.446639i
\(204\) 545122. + 978833.i 0.917104 + 1.64677i
\(205\) 347736. 347736.i 0.577916 0.577916i
\(206\) 550760. 415887.i 0.904263 0.682821i
\(207\) 267849. 0.434474
\(208\) −111692. + 26254.4i −0.179005 + 0.0420770i
\(209\) 8688.64 0.0137590
\(210\) −195169. + 147375.i −0.305395 + 0.230608i
\(211\) −748930. + 748930.i −1.15807 + 1.15807i −0.173182 + 0.984890i \(0.555405\pi\)
−0.984890 + 0.173182i \(0.944595\pi\)
\(212\) 646488. 360036.i 0.987918 0.550182i
\(213\) −406729. 406729.i −0.614266 0.614266i
\(214\) −75537.4 + 541381.i −0.112753 + 0.808106i
\(215\) 218331.i 0.322122i
\(216\) −380853. 168207.i −0.555421 0.245308i
\(217\) 375310.i 0.541054i
\(218\) −205193. 28630.0i −0.292429 0.0408018i
\(219\) −1.21657e6 1.21657e6i −1.71406 1.71406i
\(220\) −255262. 72646.4i −0.355574 0.101195i
\(221\) −145052. + 145052.i −0.199776 + 0.199776i
\(222\) −829244. 1.09817e6i −1.12928 1.49550i
\(223\) 168670. 0.227131 0.113565 0.993531i \(-0.463773\pi\)
0.113565 + 0.993531i \(0.463773\pi\)
\(224\) −521573. + 48245.0i −0.694537 + 0.0642439i
\(225\) 76708.3 0.101015
\(226\) 346765. + 459222.i 0.451610 + 0.598069i
\(227\) −1.06102e6 + 1.06102e6i −1.36665 + 1.36665i −0.501491 + 0.865163i \(0.667215\pi\)
−0.865163 + 0.501491i \(0.832785\pi\)
\(228\) −15415.7 4387.24i −0.0196393 0.00558926i
\(229\) −1.04178e6 1.04178e6i −1.31277 1.31277i −0.919367 0.393400i \(-0.871299\pi\)
−0.393400 0.919367i \(-0.628701\pi\)
\(230\) 305671. + 42649.5i 0.381009 + 0.0531612i
\(231\) 573695.i 0.707377i
\(232\) −299943. + 679126.i −0.365863 + 0.828382i
\(233\) 866526.i 1.04566i 0.852436 + 0.522832i \(0.175124\pi\)
−0.852436 + 0.522832i \(0.824876\pi\)
\(234\) −10750.1 + 77046.5i −0.0128343 + 0.0919842i
\(235\) −139487. 139487.i −0.164765 0.164765i
\(236\) −223160. + 124280.i −0.260817 + 0.145252i
\(237\) −399553. + 399553.i −0.462065 + 0.462065i
\(238\) −747351. + 564335.i −0.855229 + 0.645795i
\(239\) −1.56014e6 −1.76673 −0.883363 0.468690i \(-0.844726\pi\)
−0.883363 + 0.468690i \(0.844726\pi\)
\(240\) 416214. + 257784.i 0.466433 + 0.288887i
\(241\) 1.26261e6 1.40032 0.700159 0.713987i \(-0.253113\pi\)
0.700159 + 0.713987i \(0.253113\pi\)
\(242\) −230207. + 173832.i −0.252685 + 0.190806i
\(243\) −602914. + 602914.i −0.654998 + 0.654998i
\(244\) −232041. 416657.i −0.249511 0.448027i
\(245\) 152563. + 152563.i 0.162380 + 0.162380i
\(246\) 294072. 2.10763e6i 0.309825 2.22053i
\(247\) 2934.58i 0.00306057i
\(248\) 700611. 271339.i 0.723348 0.280145i
\(249\) 121834.i 0.124529i
\(250\) 87540.3 + 12214.3i 0.0885846 + 0.0123600i
\(251\) 428714. + 428714.i 0.429520 + 0.429520i 0.888465 0.458945i \(-0.151772\pi\)
−0.458945 + 0.888465i \(0.651772\pi\)
\(252\) −97211.7 + 341579.i −0.0964311 + 0.338836i
\(253\) −511941. + 511941.i −0.502827 + 0.502827i
\(254\) −948835. 1.25655e6i −0.922797 1.22206i
\(255\) 875304. 0.842963
\(256\) 467145. + 938769.i 0.445504 + 0.895280i
\(257\) 1.40119e6 1.32331 0.661657 0.749806i \(-0.269853\pi\)
0.661657 + 0.749806i \(0.269853\pi\)
\(258\) −569336. 753974.i −0.532500 0.705191i
\(259\) 813327. 813327.i 0.753383 0.753383i
\(260\) −24536.2 + 86214.5i −0.0225100 + 0.0790947i
\(261\) 355933. + 355933.i 0.323420 + 0.323420i
\(262\) 2.14483e6 + 299263.i 1.93037 + 0.269339i
\(263\) 1.95803e6i 1.74554i 0.488131 + 0.872771i \(0.337679\pi\)
−0.488131 + 0.872771i \(0.662321\pi\)
\(264\) −1.07095e6 + 414767.i −0.945711 + 0.366264i
\(265\) 578111.i 0.505704i
\(266\) 1851.32 13268.5i 0.00160427 0.0114979i
\(267\) −631472. 631472.i −0.542095 0.542095i
\(268\) 204795. + 367734.i 0.174173 + 0.312749i
\(269\) 827605. 827605.i 0.697337 0.697337i −0.266499 0.963835i \(-0.585867\pi\)
0.963835 + 0.266499i \(0.0858667\pi\)
\(270\) −259577. + 196010.i −0.216699 + 0.163632i
\(271\) −683579. −0.565412 −0.282706 0.959207i \(-0.591232\pi\)
−0.282706 + 0.959207i \(0.591232\pi\)
\(272\) 1.59379e6 + 987121.i 1.30620 + 0.809000i
\(273\) −193765. −0.157351
\(274\) 483080. 364781.i 0.388725 0.293532i
\(275\) −146613. + 146613.i −0.116907 + 0.116907i
\(276\) 1.16681e6 649807.i 0.921989 0.513466i
\(277\) 1.00981e6 + 1.00981e6i 0.790755 + 0.790755i 0.981617 0.190862i \(-0.0611283\pi\)
−0.190862 + 0.981617i \(0.561128\pi\)
\(278\) 125201. 897323.i 0.0971619 0.696364i
\(279\) 509404.i 0.391788i
\(280\) −165329. + 374334.i −0.126024 + 0.285341i
\(281\) 1.34508e6i 1.01620i 0.861297 + 0.508102i \(0.169653\pi\)
−0.861297 + 0.508102i \(0.830347\pi\)
\(282\) −845433. 117961.i −0.633077 0.0883315i
\(283\) 1.29402e6 + 1.29402e6i 0.960448 + 0.960448i 0.999247 0.0387990i \(-0.0123532\pi\)
−0.0387990 + 0.999247i \(0.512353\pi\)
\(284\) −925713. 263453.i −0.681052 0.193824i
\(285\) −8854.22 + 8854.22i −0.00645711 + 0.00645711i
\(286\) −126713. 167807.i −0.0916022 0.121309i
\(287\) 1.77875e6 1.27471
\(288\) 707925. 65482.4i 0.502929 0.0465204i
\(289\) 1.93191e6 1.36063
\(290\) 349520. + 462870.i 0.244049 + 0.323195i
\(291\) 1.27208e6 1.27208e6i 0.880609 0.880609i
\(292\) −2.76890e6 788015.i −1.90042 0.540851i
\(293\) −1.64136e6 1.64136e6i −1.11695 1.11695i −0.992186 0.124765i \(-0.960182\pi\)
−0.124765 0.992186i \(-0.539818\pi\)
\(294\) 924686. + 129019.i 0.623915 + 0.0870533i
\(295\) 199557.i 0.133509i
\(296\) −2.10630e6 930267.i −1.39730 0.617132i
\(297\) 763020.i 0.501932i
\(298\) −91889.9 + 658580.i −0.0599414 + 0.429603i
\(299\) 172908. + 172908.i 0.111850 + 0.111850i
\(300\) 334158. 186096.i 0.214362 0.119381i
\(301\) 558407. 558407.i 0.355251 0.355251i
\(302\) 1.52460e6 1.15124e6i 0.961917 0.726357i
\(303\) 1.71061e6 1.07039
\(304\) −26107.5 + 6136.82i −0.0162025 + 0.00380855i
\(305\) −372588. −0.229340
\(306\) 1.01437e6 765966.i 0.619289 0.467634i
\(307\) −584640. + 584640.i −0.354032 + 0.354032i −0.861607 0.507575i \(-0.830542\pi\)
0.507575 + 0.861607i \(0.330542\pi\)
\(308\) −467061. 838665.i −0.280542 0.503746i
\(309\) −1.64980e6 1.64980e6i −0.982960 0.982960i
\(310\) 81112.3 581337.i 0.0479383 0.343576i
\(311\) 319493.i 0.187310i −0.995605 0.0936549i \(-0.970145\pi\)
0.995605 0.0936549i \(-0.0298550\pi\)
\(312\) 140087. + 361711.i 0.0814725 + 0.210366i
\(313\) 1.22193e6i 0.704992i 0.935813 + 0.352496i \(0.114667\pi\)
−0.935813 + 0.352496i \(0.885333\pi\)
\(314\) 929301. + 129663.i 0.531903 + 0.0742150i
\(315\) 196190. + 196190.i 0.111404 + 0.111404i
\(316\) −258805. + 909379.i −0.145799 + 0.512304i
\(317\) 428268. 428268.i 0.239368 0.239368i −0.577220 0.816589i \(-0.695863\pi\)
0.816589 + 0.577220i \(0.195863\pi\)
\(318\) −1.50752e6 1.99642e6i −0.835980 1.10709i
\(319\) −1.36060e6 −0.748605
\(320\) 818318. + 37993.8i 0.446732 + 0.0207414i
\(321\) 1.84798e6 1.00100
\(322\) 672709. + 890871.i 0.361566 + 0.478823i
\(323\) −33905.1 + 33905.1i −0.0180825 + 0.0180825i
\(324\) −646516. + 2.27170e6i −0.342150 + 1.20223i
\(325\) 49518.5 + 49518.5i 0.0260051 + 0.0260051i
\(326\) 583949. + 81476.9i 0.304320 + 0.0424610i
\(327\) 700415.i 0.362231i
\(328\) −1.28599e6 3.32049e6i −0.660014 1.70419i
\(329\) 713508.i 0.363420i
\(330\) −123988. + 888626.i −0.0626749 + 0.449194i
\(331\) −1.41060e6 1.41060e6i −0.707676 0.707676i 0.258370 0.966046i \(-0.416815\pi\)
−0.966046 + 0.258370i \(0.916815\pi\)
\(332\) 99188.3 + 178104.i 0.0493873 + 0.0886808i
\(333\) −1.10392e6 + 1.10392e6i −0.545540 + 0.545540i
\(334\) −3.02823e6 + 2.28666e6i −1.48533 + 1.12159i
\(335\) 328839. 0.160093
\(336\) 405203. + 1.72383e6i 0.195805 + 0.833002i
\(337\) −1.91082e6 −0.916528 −0.458264 0.888816i \(-0.651529\pi\)
−0.458264 + 0.888816i \(0.651529\pi\)
\(338\) 1.61948e6 1.22289e6i 0.771053 0.582232i
\(339\) 1.37560e6 1.37560e6i 0.650119 0.650119i
\(340\) 1.27958e6 712610.i 0.600301 0.334314i
\(341\) 973628. + 973628.i 0.453427 + 0.453427i
\(342\) −2512.77 + 18009.2i −0.00116168 + 0.00832585i
\(343\) 2.30017e6i 1.05566i
\(344\) −1.44612e6 638695.i −0.658884 0.291003i
\(345\) 1.04340e6i 0.471956i
\(346\) −3.13464e6 437368.i −1.40766 0.196407i
\(347\) 1.47780e6 + 1.47780e6i 0.658859 + 0.658859i 0.955110 0.296251i \(-0.0957365\pi\)
−0.296251 + 0.955110i \(0.595736\pi\)
\(348\) 2.41402e6 + 687020.i 1.06855 + 0.304103i
\(349\) 1.33928e6 1.33928e6i 0.588584 0.588584i −0.348663 0.937248i \(-0.613364\pi\)
0.937248 + 0.348663i \(0.113364\pi\)
\(350\) 192655. + 255134.i 0.0840641 + 0.111326i
\(351\) −257709. −0.111651
\(352\) −1.22791e6 + 1.47822e6i −0.528213 + 0.635891i
\(353\) −1.14152e6 −0.487582 −0.243791 0.969828i \(-0.578391\pi\)
−0.243791 + 0.969828i \(0.578391\pi\)
\(354\) 520378. + 689139.i 0.220704 + 0.292280i
\(355\) −531696. + 531696.i −0.223920 + 0.223920i
\(356\) −1.43723e6 409027.i −0.601035 0.171052i
\(357\) 2.23869e6 + 2.23869e6i 0.929659 + 0.929659i
\(358\) −1.03056e6 143792.i −0.424978 0.0592961i
\(359\) 3.13917e6i 1.28552i 0.766067 + 0.642760i \(0.222211\pi\)
−0.766067 + 0.642760i \(0.777789\pi\)
\(360\) 224399. 508080.i 0.0912566 0.206622i
\(361\) 2.47541e6i 0.999723i
\(362\) −72506.3 + 519656.i −0.0290806 + 0.208423i
\(363\) 689584. + 689584.i 0.274676 + 0.274676i
\(364\) −283258. + 157749.i −0.112054 + 0.0624043i
\(365\) −1.59035e6 + 1.59035e6i −0.624830 + 0.624830i
\(366\) −1.28668e6 + 971586.i −0.502072 + 0.379122i
\(367\) 2.04587e6 0.792891 0.396446 0.918058i \(-0.370244\pi\)
0.396446 + 0.918058i \(0.370244\pi\)
\(368\) 1.17669e6 1.89986e6i 0.452940 0.731310i
\(369\) −2.41428e6 −0.923041
\(370\) −1.43558e6 + 1.08403e6i −0.545159 + 0.411657i
\(371\) 1.47858e6 1.47858e6i 0.557714 0.557714i
\(372\) −1.23582e6 2.21907e6i −0.463020 0.831407i
\(373\) 1.01425e6 + 1.01425e6i 0.377462 + 0.377462i 0.870186 0.492723i \(-0.163999\pi\)
−0.492723 + 0.870186i \(0.663999\pi\)
\(374\) −474780. + 3.40278e6i −0.175515 + 1.25792i
\(375\) 298815.i 0.109730i
\(376\) −1.33194e6 + 515848.i −0.485866 + 0.188171i
\(377\) 459540.i 0.166521i
\(378\) −1.16521e6 162579.i −0.419446 0.0585242i
\(379\) 68954.0 + 68954.0i 0.0246582 + 0.0246582i 0.719328 0.694670i \(-0.244450\pi\)
−0.694670 + 0.719328i \(0.744450\pi\)
\(380\) −5735.20 + 20152.1i −0.00203746 + 0.00715916i
\(381\) −3.76398e6 + 3.76398e6i −1.32842 + 1.32842i
\(382\) 1.79358e6 + 2.37525e6i 0.628873 + 0.832819i
\(383\) −4.26580e6 −1.48595 −0.742974 0.669320i \(-0.766586\pi\)
−0.742974 + 0.669320i \(0.766586\pi\)
\(384\) 2.92501e6 2.00270e6i 1.01228 0.693087i
\(385\) −749961. −0.257862
\(386\) −2.19404e6 2.90558e6i −0.749508 0.992576i
\(387\) −757920. + 757920.i −0.257245 + 0.257245i
\(388\) 823975. 2.89525e6i 0.277866 0.976354i
\(389\) −384558. 384558.i −0.128851 0.128851i 0.639740 0.768591i \(-0.279042\pi\)
−0.768591 + 0.639740i \(0.779042\pi\)
\(390\) 300132. + 41876.7i 0.0999197 + 0.0139415i
\(391\) 3.99543e6i 1.32166i
\(392\) 1.45680e6 564204.i 0.478835 0.185448i
\(393\) 7.32128e6i 2.39114i
\(394\) 347051. 2.48733e6i 0.112630 0.807222i
\(395\) 522314. + 522314.i 0.168438 + 0.168438i
\(396\) 633937. + 1.13831e6i 0.203146 + 0.364773i
\(397\) 3.49619e6 3.49619e6i 1.11332 1.11332i 0.120619 0.992699i \(-0.461512\pi\)
0.992699 0.120619i \(-0.0384880\pi\)
\(398\) −2.17876e6 + 1.64521e6i −0.689447 + 0.520611i
\(399\) −45291.4 −0.0142424
\(400\) 336988. 544095.i 0.105309 0.170030i
\(401\) −2.86231e6 −0.888905 −0.444452 0.895802i \(-0.646602\pi\)
−0.444452 + 0.895802i \(0.646602\pi\)
\(402\) 1.13560e6 857505.i 0.350477 0.264650i
\(403\) 328842. 328842.i 0.100861 0.100861i
\(404\) 2.50068e6 1.39265e6i 0.762262 0.424512i
\(405\) 1.30478e6 + 1.30478e6i 0.395277 + 0.395277i
\(406\) −289907. + 2.07778e6i −0.0872858 + 0.625582i
\(407\) 4.21986e6i 1.26274i
\(408\) 2.56057e6 5.79760e6i 0.761529 1.72424i
\(409\) 3.47468e6i 1.02709i 0.858064 + 0.513543i \(0.171667\pi\)
−0.858064 + 0.513543i \(0.828333\pi\)
\(410\) −2.75520e6 384425.i −0.809456 0.112941i
\(411\) −1.44707e6 1.44707e6i −0.422556 0.422556i
\(412\) −3.75494e6 1.06864e6i −1.08983 0.310161i
\(413\) −510390. + 510390.i −0.147240 + 0.147240i
\(414\) −913060. 1.20917e6i −0.261818 0.346726i
\(415\) 159267. 0.0453947
\(416\) 499267. + 414724.i 0.141449 + 0.117497i
\(417\) −3.06297e6 −0.862586
\(418\) −29618.4 39223.8i −0.00829127 0.0109802i
\(419\) −739845. + 739845.i −0.205876 + 0.205876i −0.802512 0.596636i \(-0.796504\pi\)
0.596636 + 0.802512i \(0.296504\pi\)
\(420\) 1.33061e6 + 378685.i 0.368068 + 0.104750i
\(421\) 2.48700e6 + 2.48700e6i 0.683866 + 0.683866i 0.960869 0.277003i \(-0.0893412\pi\)
−0.277003 + 0.960869i \(0.589341\pi\)
\(422\) 5.93396e6 + 827950.i 1.62205 + 0.226320i
\(423\) 968437.i 0.263160i
\(424\) −3.82913e6 1.69118e6i −1.03439 0.456850i
\(425\) 1.14424e6i 0.307287i
\(426\) −449643. + 3.22262e6i −0.120045 + 0.860369i
\(427\) −952937. 952937.i −0.252927 0.252927i
\(428\) 2.70150e6 1.50449e6i 0.712844 0.396991i
\(429\) −502664. + 502664.i −0.131867 + 0.131867i
\(430\) −985630. + 744263.i −0.257065 + 0.194113i
\(431\) −5.37041e6 −1.39256 −0.696280 0.717770i \(-0.745163\pi\)
−0.696280 + 0.717770i \(0.745163\pi\)
\(432\) 538924. + 2.29271e6i 0.138937 + 0.591071i
\(433\) −5.77589e6 −1.48047 −0.740235 0.672348i \(-0.765286\pi\)
−0.740235 + 0.672348i \(0.765286\pi\)
\(434\) 1.69429e6 1.27938e6i 0.431781 0.326044i
\(435\) 1.38653e6 1.38653e6i 0.351322 0.351322i
\(436\) 570228. + 1.02391e6i 0.143659 + 0.257957i
\(437\) 40416.1 + 40416.1i 0.0101240 + 0.0101240i
\(438\) −1.34493e6 + 9.63917e6i −0.334976 + 2.40079i
\(439\) 4.92868e6i 1.22059i −0.792175 0.610294i \(-0.791051\pi\)
0.792175 0.610294i \(-0.208949\pi\)
\(440\) 542203. + 1.39999e6i 0.133515 + 0.344742i
\(441\) 1.05922e6i 0.259352i
\(442\) 1.14928e6 + 160356.i 0.279815 + 0.0390419i
\(443\) 4.21588e6 + 4.21588e6i 1.02065 + 1.02065i 0.999782 + 0.0208723i \(0.00664433\pi\)
0.0208723 + 0.999782i \(0.493356\pi\)
\(444\) −2.13078e6 + 7.48704e6i −0.512956 + 1.80241i
\(445\) −825490. + 825490.i −0.197611 + 0.197611i
\(446\) −574974. 761441.i −0.136871 0.181259i
\(447\) 2.24803e6 0.532150
\(448\) 1.99577e6 + 2.19012e6i 0.469803 + 0.515552i
\(449\) −157968. −0.0369789 −0.0184894 0.999829i \(-0.505886\pi\)
−0.0184894 + 0.999829i \(0.505886\pi\)
\(450\) −261489. 346290.i −0.0608726 0.0806138i
\(451\) 4.61443e6 4.61443e6i 1.06826 1.06826i
\(452\) 891026. 3.13086e6i 0.205137 0.720804i
\(453\) −4.56693e6 4.56693e6i −1.04563 1.04563i
\(454\) 8.40672e6 + 1.17297e6i 1.91420 + 0.267083i
\(455\) 253298.i 0.0573593i
\(456\) 32744.5 + 84547.9i 0.00737439 + 0.0190410i
\(457\) 7.57340e6i 1.69629i −0.529763 0.848146i \(-0.677719\pi\)
0.529763 0.848146i \(-0.322281\pi\)
\(458\) −1.15170e6 + 8.25429e6i −0.256552 + 1.83872i
\(459\) 2.97748e6 + 2.97748e6i 0.659656 + 0.659656i
\(460\) −849458. 1.52530e6i −0.187175 0.336095i
\(461\) −247109. + 247109.i −0.0541547 + 0.0541547i −0.733666 0.679511i \(-0.762192\pi\)
0.679511 + 0.733666i \(0.262192\pi\)
\(462\) −2.58988e6 + 1.95565e6i −0.564513 + 0.426272i
\(463\) 7.86676e6 1.70547 0.852734 0.522346i \(-0.174943\pi\)
0.852734 + 0.522346i \(0.174943\pi\)
\(464\) 4.08830e6 960996.i 0.881552 0.207218i
\(465\) −1.98437e6 −0.425588
\(466\) 3.91183e6 2.95387e6i 0.834478 0.630126i
\(467\) −4.69311e6 + 4.69311e6i −0.995793 + 0.995793i −0.999991 0.00419863i \(-0.998664\pi\)
0.00419863 + 0.999991i \(0.498664\pi\)
\(468\) 384463. 214112.i 0.0811409 0.0451882i
\(469\) 841045. + 841045.i 0.176558 + 0.176558i
\(470\) −154204. + 1.10519e6i −0.0321997 + 0.230777i
\(471\) 3.17213e6i 0.658867i
\(472\) 1.32177e6 + 583773.i 0.273087 + 0.120612i
\(473\) 2.89724e6i 0.595431i
\(474\) 3.16576e6 + 441709.i 0.647190 + 0.0903006i
\(475\) 11574.7 + 11574.7i 0.00235382 + 0.00235382i
\(476\) 5.09525e6 + 1.45008e6i 1.03074 + 0.293343i
\(477\) −2.00687e6 + 2.00687e6i −0.403852 + 0.403852i
\(478\) 5.31832e6 + 7.04307e6i 1.06464 + 1.40991i
\(479\) 394910. 0.0786429 0.0393215 0.999227i \(-0.487480\pi\)
0.0393215 + 0.999227i \(0.487480\pi\)
\(480\) −255085. 2.75770e6i −0.0505337 0.546316i
\(481\) −1.42525e6 −0.280886
\(482\) −4.30407e6 5.69990e6i −0.843843 1.11750i
\(483\) 2.66860e6 2.66860e6i 0.520495 0.520495i
\(484\) 1.56949e6 + 446669.i 0.304540 + 0.0866707i
\(485\) −1.66293e6 1.66293e6i −0.321010 0.321010i
\(486\) 4.77704e6 + 666527.i 0.917419 + 0.128005i
\(487\) 2.60339e6i 0.497412i 0.968579 + 0.248706i \(0.0800053\pi\)
−0.968579 + 0.248706i \(0.919995\pi\)
\(488\) −1.08995e6 + 2.46785e6i −0.207184 + 0.469104i
\(489\) 1.99328e6i 0.376962i
\(490\) 168660. 1.20879e6i 0.0317337 0.227437i
\(491\) 1.65420e6 + 1.65420e6i 0.309659 + 0.309659i 0.844777 0.535118i \(-0.179733\pi\)
−0.535118 + 0.844777i \(0.679733\pi\)
\(492\) −1.05171e7 + 5.85709e6i −1.95877 + 1.09086i
\(493\) 5.30937e6 5.30937e6i 0.983842 0.983842i
\(494\) −13247.8 + 10003.6i −0.00244245 + 0.00184433i
\(495\) 1.01791e6 0.186723
\(496\) −3.61322e6 2.23786e6i −0.659462 0.408441i
\(497\) −2.71975e6 −0.493898
\(498\) 550003. 415315.i 0.0993784 0.0750420i
\(499\) 5.46828e6 5.46828e6i 0.983104 0.983104i −0.0167555 0.999860i \(-0.505334\pi\)
0.999860 + 0.0167555i \(0.00533370\pi\)
\(500\) −243274. 436827.i −0.0435181 0.0781420i
\(501\) 9.07106e6 + 9.07106e6i 1.61460 + 1.61460i
\(502\) 473948. 3.39681e6i 0.0839405 0.601606i
\(503\) 9.27467e6i 1.63448i 0.576300 + 0.817238i \(0.304496\pi\)
−0.576300 + 0.817238i \(0.695504\pi\)
\(504\) 1.87340e6 725547.i 0.328514 0.127230i
\(505\) 2.23619e6i 0.390193i
\(506\) 4.05624e6 + 565956.i 0.704283 + 0.0982667i
\(507\) −4.85115e6 4.85115e6i −0.838157 0.838157i
\(508\) −2.43807e6 + 8.56680e6i −0.419167 + 1.47285i
\(509\) −2.66021e6 + 2.66021e6i −0.455115 + 0.455115i −0.897048 0.441933i \(-0.854293\pi\)
0.441933 + 0.897048i \(0.354293\pi\)
\(510\) −2.98380e6 3.95145e6i −0.507977 0.672715i
\(511\) −8.13503e6 −1.37818
\(512\) 2.64552e6 5.30901e6i 0.446001 0.895032i
\(513\) −60238.0 −0.0101059
\(514\) −4.77646e6 6.32549e6i −0.797441 1.05605i
\(515\) −2.15670e6 + 2.15670e6i −0.358321 + 0.358321i
\(516\) −1.46293e6 + 5.14040e6i −0.241880 + 0.849909i
\(517\) −1.85098e6 1.85098e6i −0.304562 0.304562i
\(518\) −6.44419e6 899140.i −1.05522 0.147232i
\(519\) 1.07000e7i 1.74367i
\(520\) 472846. 183128.i 0.0766852 0.0296993i
\(521\) 7.63674e6i 1.23258i −0.787521 0.616288i \(-0.788636\pi\)
0.787521 0.616288i \(-0.211364\pi\)
\(522\) 393488. 2.82015e6i 0.0632055 0.452997i
\(523\) 1.26901e6 + 1.26901e6i 0.202866 + 0.202866i 0.801227 0.598361i \(-0.204181\pi\)
−0.598361 + 0.801227i \(0.704181\pi\)
\(524\) −5.96046e6 1.07027e7i −0.948313 1.70281i
\(525\) 764254. 764254.i 0.121015 0.121015i
\(526\) 8.83929e6 6.67467e6i 1.39301 1.05188i
\(527\) −7.59864e6 −1.19182
\(528\) 5.52313e6 + 3.42078e6i 0.862186 + 0.533999i
\(529\) 1.67364e6 0.260030
\(530\) −2.60981e6 + 1.97070e6i −0.403570 + 0.304741i
\(531\) 692746. 692746.i 0.106620 0.106620i
\(532\) −66209.9 + 36873.0i −0.0101425 + 0.00564845i
\(533\) −1.55852e6 1.55852e6i −0.237626 0.237626i
\(534\) −698098. + 5.00331e6i −0.105941 + 0.759283i
\(535\) 2.41577e6i 0.364897i
\(536\) 961970. 2.17808e6i 0.144627 0.327462i
\(537\) 3.51778e6i 0.526421i
\(538\) −6.55732e6 914926.i −0.976722 0.136279i
\(539\) 2.02450e6 + 2.02450e6i 0.300155 + 0.300155i
\(540\) 1.76972e6 + 503655.i 0.261169 + 0.0743274i
\(541\) −6.84477e6 + 6.84477e6i −1.00546 + 1.00546i −0.00547699 + 0.999985i \(0.501743\pi\)
−0.999985 + 0.00547699i \(0.998257\pi\)
\(542\) 2.33023e6 + 3.08593e6i 0.340722 + 0.451220i
\(543\) 1.77382e6 0.258173
\(544\) −976784. 1.05599e7i −0.141515 1.52990i
\(545\) 915616. 0.132045
\(546\) 660519. + 874728.i 0.0948208 + 0.125572i
\(547\) 5.62052e6 5.62052e6i 0.803171 0.803171i −0.180419 0.983590i \(-0.557745\pi\)
0.983590 + 0.180419i \(0.0577454\pi\)
\(548\) −3.29352e6 937318.i −0.468499 0.133332i
\(549\) 1.29341e6 + 1.29341e6i 0.183149 + 0.183149i
\(550\) 1.16165e6 + 162082.i 0.163746 + 0.0228470i
\(551\) 107415.i 0.0150725i
\(552\) −6.91096e6 3.05230e6i −0.965363 0.426363i
\(553\) 2.67176e6i 0.371522i
\(554\) 1.11636e6 8.00100e6i 0.154536 1.10757i
\(555\) 4.30028e6 + 4.30028e6i 0.592604 + 0.592604i
\(556\) −4.47765e6 + 2.49365e6i −0.614275 + 0.342096i
\(557\) −3.01132e6 + 3.01132e6i −0.411262 + 0.411262i −0.882178 0.470916i \(-0.843924\pi\)
0.470916 + 0.882178i \(0.343924\pi\)
\(558\) −2.29964e6 + 1.73649e6i −0.312662 + 0.236095i
\(559\) −978539. −0.132449
\(560\) 2.25347e6 529701.i 0.303656 0.0713774i
\(561\) 1.16152e7 1.55819
\(562\) 6.07218e6 4.58519e6i 0.810968 0.612373i
\(563\) 6.57595e6 6.57595e6i 0.874354 0.874354i −0.118589 0.992943i \(-0.537837\pi\)
0.992943 + 0.118589i \(0.0378372\pi\)
\(564\) 2.34945e6 + 4.21872e6i 0.311006 + 0.558448i
\(565\) −1.79825e6 1.79825e6i −0.236989 0.236989i
\(566\) 1.43055e6 1.02528e7i 0.187699 1.34525i
\(567\) 6.67427e6i 0.871859i
\(568\) 1.96631e6 + 5.07710e6i 0.255729 + 0.660305i
\(569\) 1.23305e7i 1.59661i 0.602251 + 0.798307i \(0.294271\pi\)
−0.602251 + 0.798307i \(0.705729\pi\)
\(570\) 70154.2 + 9788.43i 0.00904412 + 0.00126190i
\(571\) 886054. + 886054.i 0.113729 + 0.113729i 0.761681 0.647952i \(-0.224374\pi\)
−0.647952 + 0.761681i \(0.724374\pi\)
\(572\) −325594. + 1.14406e6i −0.0416089 + 0.146204i
\(573\) 7.11506e6 7.11506e6i 0.905298 0.905298i
\(574\) −6.06352e6 8.02995e6i −0.768149 1.01726i
\(575\) −1.36398e6 −0.172043
\(576\) −2.70884e6 2.97262e6i −0.340194 0.373322i
\(577\) 2.29833e6 0.287390 0.143695 0.989622i \(-0.454102\pi\)
0.143695 + 0.989622i \(0.454102\pi\)
\(578\) −6.58561e6 8.72135e6i −0.819929 1.08584i
\(579\) −8.70365e6 + 8.70365e6i −1.07896 + 1.07896i
\(580\) 898104. 3.15573e6i 0.110855 0.389520i
\(581\) 407343. + 407343.i 0.0500634 + 0.0500634i
\(582\) −1.00790e7 1.40630e6i −1.23342 0.172096i
\(583\) 7.67149e6i 0.934777i
\(584\) 5.88142e6 + 1.51861e7i 0.713592 + 1.84253i
\(585\) 343799.i 0.0415351i
\(586\) −1.81454e6 + 1.30049e7i −0.218284 + 1.56445i
\(587\) −1.02684e7 1.02684e7i −1.23000 1.23000i −0.963962 0.266039i \(-0.914285\pi\)
−0.266039 0.963962i \(-0.585715\pi\)
\(588\) −2.56969e6 4.61419e6i −0.306505 0.550367i
\(589\) 76864.8 76864.8i 0.00912934 0.00912934i
\(590\) 900875. 680263.i 0.106545 0.0804539i
\(591\) −8.49039e6 −0.999906
\(592\) 2.98051e6 + 1.26798e7i 0.349531 + 1.48699i
\(593\) −1.65412e6 −0.193166 −0.0965829 0.995325i \(-0.530791\pi\)
−0.0965829 + 0.995325i \(0.530791\pi\)
\(594\) −3.44456e6 + 2.60104e6i −0.400560 + 0.302469i
\(595\) 2.92652e6 2.92652e6i 0.338891 0.338891i
\(596\) 3.28632e6 1.83019e6i 0.378961 0.211047i
\(597\) 6.52647e6 + 6.52647e6i 0.749449 + 0.749449i
\(598\) 191151. 1.36999e6i 0.0218587 0.156662i
\(599\) 1.20496e7i 1.37216i 0.727526 + 0.686081i \(0.240670\pi\)
−0.727526 + 0.686081i \(0.759330\pi\)
\(600\) −1.97921e6 874138.i −0.224447 0.0991293i
\(601\) 5.43468e6i 0.613745i 0.951751 + 0.306872i \(0.0992825\pi\)
−0.951751 + 0.306872i \(0.900718\pi\)
\(602\) −4.42440e6 617325.i −0.497580 0.0694261i
\(603\) −1.14154e6 1.14154e6i −0.127849 0.127849i
\(604\) −1.03943e7 2.95817e6i −1.15932 0.329937i
\(605\) 901457. 901457.i 0.100128 0.100128i
\(606\) −5.83123e6 7.72233e6i −0.645029 0.854214i
\(607\) −7.41405e6 −0.816740 −0.408370 0.912817i \(-0.633903\pi\)
−0.408370 + 0.912817i \(0.633903\pi\)
\(608\) 116701. + 96939.3i 0.0128031 + 0.0106351i
\(609\) 7.09241e6 0.774909
\(610\) 1.27010e6 + 1.68200e6i 0.138202 + 0.183022i
\(611\) −625167. + 625167.i −0.0677474 + 0.0677474i
\(612\) −6.91572e6 1.96818e6i −0.746378 0.212416i
\(613\) −6.24642e6 6.24642e6i −0.671398 0.671398i 0.286640 0.958038i \(-0.407462\pi\)
−0.958038 + 0.286640i \(0.907462\pi\)
\(614\) 4.63225e6 + 646325.i 0.495873 + 0.0691879i
\(615\) 9.40474e6i 1.00267i
\(616\) −2.19390e6 + 4.96739e6i −0.232951 + 0.527444i
\(617\) 1.07410e7i 1.13588i 0.823071 + 0.567938i \(0.192259\pi\)
−0.823071 + 0.567938i \(0.807741\pi\)
\(618\) −1.82387e6 + 1.30718e7i −0.192098 + 1.37678i
\(619\) −4.73215e6 4.73215e6i −0.496400 0.496400i 0.413916 0.910315i \(-0.364161\pi\)
−0.910315 + 0.413916i \(0.864161\pi\)
\(620\) −2.90087e6 + 1.61553e6i −0.303075 + 0.168786i
\(621\) 3.54927e6 3.54927e6i 0.369326 0.369326i
\(622\) −1.44231e6 + 1.08911e6i −0.149480 + 0.112874i
\(623\) −4.22257e6 −0.435870
\(624\) 1.15536e6 1.86543e6i 0.118784 0.191786i
\(625\) −390625. −0.0400000
\(626\) 5.51624e6 4.16539e6i 0.562610 0.424834i
\(627\) −117495. + 117495.i −0.0119358 + 0.0119358i
\(628\) −2.58252e6 4.63722e6i −0.261303 0.469201i
\(629\) 1.64669e7 + 1.64669e7i 1.65953 + 1.65953i
\(630\) 216890. 1.55447e6i 0.0217715 0.156038i
\(631\) 3.91185e6i 0.391119i −0.980692 0.195559i \(-0.937348\pi\)
0.980692 0.195559i \(-0.0626523\pi\)
\(632\) 4.98751e6 1.93161e6i 0.496697 0.192365i
\(633\) 2.02553e7i 2.00923i
\(634\) −3.39327e6 473454.i −0.335270 0.0467794i
\(635\) 4.92045e6 + 4.92045e6i 0.484251 + 0.484251i
\(636\) −3.87364e6 + 1.36110e7i −0.379731 + 1.33429i
\(637\) 683771. 683771.i 0.0667671 0.0667671i
\(638\) 4.63810e6 + 6.14225e6i 0.451116 + 0.597415i
\(639\) 3.69148e6 0.357642
\(640\) −2.61802e6 3.82372e6i −0.252652 0.369008i
\(641\) 1.06765e7 1.02632 0.513161 0.858292i \(-0.328474\pi\)
0.513161 + 0.858292i \(0.328474\pi\)
\(642\) −6.29952e6 8.34248e6i −0.603212 0.798836i
\(643\) 1.40900e6 1.40900e6i 0.134395 0.134395i −0.636709 0.771104i \(-0.719705\pi\)
0.771104 + 0.636709i \(0.219705\pi\)
\(644\) 1.72855e6 6.07373e6i 0.164236 0.577086i
\(645\) 2.95245e6 + 2.95245e6i 0.279437 + 0.279437i
\(646\) 268638. + 37482.4i 0.0253272 + 0.00353383i
\(647\) 7.88668e6i 0.740685i −0.928895 0.370342i \(-0.879240\pi\)
0.928895 0.370342i \(-0.120760\pi\)
\(648\) 1.24592e7 4.82533e6i 1.16561 0.451429i
\(649\) 2.64811e6i 0.246788i
\(650\) 54743.2 392347.i 0.00508214 0.0364240i
\(651\) −5.07524e6 5.07524e6i −0.469358 0.469358i
\(652\) −1.62279e6 2.91391e6i −0.149501 0.268446i
\(653\) −5.53904e6 + 5.53904e6i −0.508337 + 0.508337i −0.914016 0.405679i \(-0.867035\pi\)
0.405679 + 0.914016i \(0.367035\pi\)
\(654\) 3.16194e6 2.38762e6i 0.289074 0.218284i
\(655\) −9.57072e6 −0.871649
\(656\) −1.06062e7 + 1.71246e7i −0.962274 + 1.55367i
\(657\) 1.10416e7 0.997972
\(658\) −3.22105e6 + 2.43226e6i −0.290023 + 0.219000i
\(659\) −5.19721e6 + 5.19721e6i −0.466183 + 0.466183i −0.900676 0.434492i \(-0.856928\pi\)
0.434492 + 0.900676i \(0.356928\pi\)
\(660\) 4.43425e6 2.46948e6i 0.396242 0.220671i
\(661\) 4.10977e6 + 4.10977e6i 0.365859 + 0.365859i 0.865964 0.500106i \(-0.166705\pi\)
−0.500106 + 0.865964i \(0.666705\pi\)
\(662\) −1.55943e6 + 1.11765e7i −0.138300 + 0.991203i
\(663\) 3.92303e6i 0.346607i
\(664\) 465911. 1.05491e6i 0.0410093 0.0928527i
\(665\) 59207.0i 0.00519181i
\(666\) 8.74663e6 + 1.22039e6i 0.764108 + 0.106614i
\(667\) −6.32897e6 6.32897e6i −0.550831 0.550831i
\(668\) 2.06457e7 + 5.87566e6i 1.79014 + 0.509466i
\(669\) −2.28090e6 + 2.28090e6i −0.197033 + 0.197033i
\(670\) −1.12097e6 1.48451e6i −0.0964733 0.127760i
\(671\) −4.94422e6 −0.423927
\(672\) 6.40073e6 7.70555e6i 0.546772 0.658234i
\(673\) 5.47059e6 0.465582 0.232791 0.972527i \(-0.425214\pi\)
0.232791 + 0.972527i \(0.425214\pi\)
\(674\) 6.51375e6 + 8.62618e6i 0.552308 + 0.731423i
\(675\) 1.01647e6 1.01647e6i 0.0858683 0.0858683i
\(676\) −1.10412e7 3.14227e6i −0.929286 0.264470i
\(677\) −1.34149e7 1.34149e7i −1.12490 1.12490i −0.990994 0.133907i \(-0.957248\pi\)
−0.133907 0.990994i \(-0.542752\pi\)
\(678\) −1.08992e7 1.52074e6i −0.910586 0.127052i
\(679\) 8.50626e6i 0.708051i
\(680\) −7.57890e6 3.34730e6i −0.628541 0.277602i
\(681\) 2.86959e7i 2.37112i
\(682\) 1.07635e6 7.71429e6i 0.0886124 0.635090i
\(683\) 1.99794e6 + 1.99794e6i 0.163882 + 0.163882i 0.784284 0.620402i \(-0.213031\pi\)
−0.620402 + 0.784284i \(0.713031\pi\)
\(684\) 89865.9 50047.3i 0.00734438 0.00409016i
\(685\) −1.89167e6 + 1.89167e6i −0.154035 + 0.154035i
\(686\) 1.03839e7 7.84099e6i 0.842458 0.636151i
\(687\) 2.81756e7 2.27762
\(688\) 2.04633e6 + 8.70558e6i 0.164818 + 0.701175i
\(689\) −2.59103e6 −0.207934
\(690\) −4.71028e6 + 3.55680e6i −0.376638 + 0.284405i
\(691\) 4.48729e6 4.48729e6i 0.357511 0.357511i −0.505384 0.862895i \(-0.668649\pi\)
0.862895 + 0.505384i \(0.168649\pi\)
\(692\) 8.71114e6 + 1.56419e7i 0.691528 + 1.24172i
\(693\) 2.60343e6 + 2.60343e6i 0.205927 + 0.205927i
\(694\) 1.63372e6 1.17090e7i 0.128760 0.922828i
\(695\) 4.00406e6i 0.314440i
\(696\) −5.12763e6 1.32398e7i −0.401230 1.03599i
\(697\) 3.60132e7i 2.80788i
\(698\) −1.06115e7 1.48059e6i −0.824398 0.115026i
\(699\) −1.17179e7 1.17179e7i −0.907102 0.907102i
\(700\) 495035. 1.73944e6i 0.0381848 0.134172i
\(701\) 2.19585e6 2.19585e6i 0.168775 0.168775i −0.617666 0.786441i \(-0.711922\pi\)
0.786441 + 0.617666i \(0.211922\pi\)
\(702\) 878497. + 1.16340e6i 0.0672818 + 0.0891015i
\(703\) −333145. −0.0254240
\(704\) 1.08590e7 + 504175.i 0.825770 + 0.0383398i
\(705\) 3.77251e6 0.285863
\(706\) 3.89130e6 + 5.15327e6i 0.293821 + 0.389109i
\(707\) 5.71930e6 5.71930e6i 0.430323 0.430323i
\(708\) 1.33713e6 4.69837e6i 0.100252 0.352261i
\(709\) 3.64004e6 + 3.64004e6i 0.271951 + 0.271951i 0.829885 0.557934i \(-0.188406\pi\)
−0.557934 + 0.829885i \(0.688406\pi\)
\(710\) 4.21276e6 + 587795.i 0.313632 + 0.0437602i
\(711\) 3.62635e6i 0.269027i
\(712\) 3.05281e6 + 7.88250e6i 0.225683 + 0.582725i
\(713\) 9.05787e6i 0.667271i
\(714\) 2.47489e6 1.77377e7i 0.181682 1.30212i
\(715\) 657107. + 657107.i 0.0480696 + 0.0480696i
\(716\) 2.86392e6 + 5.14252e6i 0.208775 + 0.374881i
\(717\) 2.10975e7 2.10975e7i 1.53262 1.53262i
\(718\) 1.41714e7 1.07010e7i 1.02589 0.774666i
\(719\) 1.01674e7 0.733480 0.366740 0.930324i \(-0.380474\pi\)
0.366740 + 0.930324i \(0.380474\pi\)
\(720\) −3.05861e6 + 718957.i −0.219884 + 0.0516859i
\(721\) −1.10320e7 −0.790345
\(722\) 1.11750e7 8.43836e6i 0.797816 0.602442i
\(723\) −1.70740e7 + 1.70740e7i −1.21476 + 1.21476i
\(724\) 2.59309e6 1.44412e6i 0.183853 0.102390i
\(725\) −1.81253e6 1.81253e6i −0.128068 0.128068i
\(726\) 762342. 5.46375e6i 0.0536795 0.384724i
\(727\) 1.21518e7i 0.852719i −0.904554 0.426359i \(-0.859796\pi\)
0.904554 0.426359i \(-0.140204\pi\)
\(728\) 1.67773e6 + 740987.i 0.117326 + 0.0518181i
\(729\) 1.62957e6i 0.113567i
\(730\) 1.26008e7 + 1.75815e6i 0.875165 + 0.122109i
\(731\) 1.13057e7 + 1.13057e7i 0.782536 + 0.782536i
\(732\) 8.77222e6 + 2.49653e6i 0.605106 + 0.172210i
\(733\) −6.98495e6 + 6.98495e6i −0.480179 + 0.480179i −0.905189 0.425010i \(-0.860271\pi\)
0.425010 + 0.905189i \(0.360271\pi\)
\(734\) −6.97412e6 9.23585e6i −0.477803 0.632757i
\(735\) −4.12616e6 −0.281726
\(736\) −1.25879e7 + 1.16436e6i −0.856559 + 0.0792308i
\(737\) 4.36368e6 0.295926
\(738\) 8.22995e6 + 1.08990e7i 0.556233 + 0.736621i
\(739\) −1.29130e7 + 1.29130e7i −0.869795 + 0.869795i −0.992449 0.122654i \(-0.960859\pi\)
0.122654 + 0.992449i \(0.460859\pi\)
\(740\) 9.78742e6 + 2.78545e6i 0.657035 + 0.186989i
\(741\) 39683.7 + 39683.7i 0.00265502 + 0.00265502i
\(742\) −1.17152e7 1.63459e6i −0.781159 0.108993i
\(743\) 1.75591e6i 0.116689i 0.998297 + 0.0583445i \(0.0185822\pi\)
−0.998297 + 0.0583445i \(0.981418\pi\)
\(744\) −5.80496e6 + 1.31435e7i −0.384474 + 0.870520i
\(745\) 2.93873e6i 0.193986i
\(746\) 1.12127e6 8.03617e6i 0.0737669 0.528691i
\(747\) −552882. 552882.i −0.0362519 0.0362519i
\(748\) 1.69799e7 9.45628e6i 1.10964 0.617969i
\(749\) 6.17860e6 6.17860e6i 0.402425 0.402425i
\(750\) −1.34896e6 + 1.01862e6i −0.0875683 + 0.0661240i
\(751\) −349847. −0.0226349 −0.0113174 0.999936i \(-0.503603\pi\)
−0.0113174 + 0.999936i \(0.503603\pi\)
\(752\) 6.86915e6 + 4.25444e6i 0.442954 + 0.274346i
\(753\) −1.15949e7 −0.745209
\(754\) 2.07454e6 1.56651e6i 0.132890 0.100347i
\(755\) −5.97011e6 + 5.97011e6i −0.381166 + 0.381166i
\(756\) 3.23812e6 + 5.81443e6i 0.206058 + 0.370001i
\(757\) −5.70333e6 5.70333e6i −0.361733 0.361733i 0.502718 0.864451i \(-0.332334\pi\)
−0.864451 + 0.502718i \(0.832334\pi\)
\(758\) 76229.3 546339.i 0.00481891 0.0345374i
\(759\) 1.38458e7i 0.872395i
\(760\) 110525. 42805.1i 0.00694107 0.00268820i
\(761\) 1.70225e7i 1.06552i −0.846267 0.532759i \(-0.821155\pi\)
0.846267 0.532759i \(-0.178845\pi\)
\(762\) 2.98230e7 + 4.16112e6i 1.86064 + 0.259611i
\(763\)