Properties

Label 80.6.l.a.21.14
Level $80$
Weight $6$
Character 80.21
Analytic conductor $12.831$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(12.8307055850\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(40\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 21.14
Character \(\chi\) \(=\) 80.21
Dual form 80.6.l.a.61.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.10357 + 4.72947i) q^{2} +(-7.07478 + 7.07478i) q^{3} +(-12.7357 - 29.3564i) q^{4} +(17.6777 + 17.6777i) q^{5} +(-11.5029 - 55.4170i) q^{6} +216.974i q^{7} +(178.367 + 30.8765i) q^{8} +142.895i q^{9} +O(q^{10})\) \(q+(-3.10357 + 4.72947i) q^{2} +(-7.07478 + 7.07478i) q^{3} +(-12.7357 - 29.3564i) q^{4} +(17.6777 + 17.6777i) q^{5} +(-11.5029 - 55.4170i) q^{6} +216.974i q^{7} +(178.367 + 30.8765i) q^{8} +142.895i q^{9} +(-138.470 + 28.7421i) q^{10} +(-417.226 - 417.226i) q^{11} +(297.793 + 117.588i) q^{12} +(-493.876 + 493.876i) q^{13} +(-1026.17 - 673.394i) q^{14} -250.131 q^{15} +(-699.602 + 747.752i) q^{16} +483.637 q^{17} +(-675.818 - 443.484i) q^{18} +(1926.61 - 1926.61i) q^{19} +(293.815 - 744.092i) q^{20} +(-1535.04 - 1535.04i) q^{21} +(3268.14 - 678.368i) q^{22} -591.078i q^{23} +(-1480.35 + 1043.46i) q^{24} +625.000i q^{25} +(-802.994 - 3868.55i) q^{26} +(-2730.12 - 2730.12i) q^{27} +(6369.59 - 2763.33i) q^{28} +(-969.284 + 969.284i) q^{29} +(776.299 - 1182.99i) q^{30} -6059.88 q^{31} +(-1365.21 - 5629.44i) q^{32} +5903.56 q^{33} +(-1501.00 + 2287.35i) q^{34} +(-3835.60 + 3835.60i) q^{35} +(4194.89 - 1819.87i) q^{36} +(-4317.69 - 4317.69i) q^{37} +(3132.48 + 15091.2i) q^{38} -6988.13i q^{39} +(2607.28 + 3698.93i) q^{40} -5217.66i q^{41} +(12024.1 - 2495.83i) q^{42} +(-9663.00 - 9663.00i) q^{43} +(-6934.59 + 17561.9i) q^{44} +(-2526.05 + 2526.05i) q^{45} +(2795.49 + 1834.45i) q^{46} -8662.87 q^{47} +(-340.650 - 10239.7i) q^{48} -30270.8 q^{49} +(-2955.92 - 1939.73i) q^{50} +(-3421.62 + 3421.62i) q^{51} +(20788.3 + 8208.58i) q^{52} +(23217.4 + 23217.4i) q^{53} +(21385.1 - 4438.91i) q^{54} -14751.2i q^{55} +(-6699.40 + 38701.0i) q^{56} +27260.7i q^{57} +(-1575.96 - 7592.43i) q^{58} +(25645.8 + 25645.8i) q^{59} +(3185.60 + 7342.96i) q^{60} +(-11104.1 + 11104.1i) q^{61} +(18807.2 - 28660.0i) q^{62} -31004.6 q^{63} +(30861.3 + 11014.7i) q^{64} -17461.2 q^{65} +(-18322.1 + 27920.7i) q^{66} +(27787.9 - 27787.9i) q^{67} +(-6159.47 - 14197.9i) q^{68} +(4181.75 + 4181.75i) q^{69} +(-6236.30 - 30044.4i) q^{70} +3346.53i q^{71} +(-4412.09 + 25487.7i) q^{72} +47360.9i q^{73} +(33820.6 - 7020.14i) q^{74} +(-4421.74 - 4421.74i) q^{75} +(-81095.4 - 32021.7i) q^{76} +(90527.3 - 90527.3i) q^{77} +(33050.1 + 21688.1i) q^{78} -67155.2 q^{79} +(-25585.8 + 851.179i) q^{80} +3906.50 q^{81} +(24676.8 + 16193.4i) q^{82} +(-65578.9 + 65578.9i) q^{83} +(-25513.5 + 64613.4i) q^{84} +(8549.58 + 8549.58i) q^{85} +(75690.6 - 15711.1i) q^{86} -13714.9i q^{87} +(-61536.7 - 87301.6i) q^{88} +24484.9i q^{89} +(-4107.11 - 19786.7i) q^{90} +(-107158. - 107158. i) q^{91} +(-17352.0 + 7527.82i) q^{92} +(42872.3 - 42872.3i) q^{93} +(26885.8 - 40970.8i) q^{94} +68116.1 q^{95} +(49485.6 + 30168.5i) q^{96} +149024. q^{97} +(93947.6 - 143165. i) q^{98} +(59619.5 - 59619.5i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 44q^{4} - 228q^{6} + O(q^{10}) \) \( 80q + 44q^{4} - 228q^{6} - 100q^{10} + 1208q^{11} + 1572q^{12} - 916q^{14} - 1800q^{15} + 2960q^{16} + 6400q^{18} + 2360q^{19} - 3800q^{20} - 3260q^{22} - 13880q^{24} - 880q^{26} - 7464q^{27} + 18764q^{28} - 8144q^{29} + 22400q^{32} - 7440q^{34} + 27948q^{36} + 21296q^{37} - 34820q^{38} - 7260q^{42} + 32072q^{43} + 64392q^{44} + 149268q^{46} - 88360q^{47} + 94040q^{48} - 192080q^{49} + 2500q^{50} - 5920q^{51} - 55016q^{52} - 49456q^{53} - 250784q^{54} - 250352q^{56} - 115988q^{58} + 44984q^{59} + 7700q^{60} + 48080q^{61} + 444328q^{62} + 158760q^{63} + 218096q^{64} + 253440q^{66} + 61160q^{67} - 119792q^{68} - 22320q^{69} - 66200q^{70} - 629480q^{72} - 156664q^{74} + 223232q^{76} - 14896q^{77} + 516176q^{78} + 177680q^{79} + 48400q^{80} - 524880q^{81} + 254476q^{82} - 329240q^{83} - 173248q^{84} + 132400q^{85} - 765740q^{86} - 390400q^{88} + 71100q^{90} + 364832q^{91} + 333532q^{92} - 362352q^{93} + 537844q^{94} + 288800q^{95} + 1151112q^{96} + 52420q^{98} + 659000q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
<
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.10357 + 4.72947i −0.548638 + 0.836060i
\(3\) −7.07478 + 7.07478i −0.453847 + 0.453847i −0.896629 0.442782i \(-0.853992\pi\)
0.442782 + 0.896629i \(0.353992\pi\)
\(4\) −12.7357 29.3564i −0.397992 0.917389i
\(5\) 17.6777 + 17.6777i 0.316228 + 0.316228i
\(6\) −11.5029 55.4170i −0.130445 0.628441i
\(7\) 216.974i 1.67364i 0.547475 + 0.836822i \(0.315589\pi\)
−0.547475 + 0.836822i \(0.684411\pi\)
\(8\) 178.367 + 30.8765i 0.985346 + 0.170570i
\(9\) 142.895i 0.588046i
\(10\) −138.470 + 28.7421i −0.437880 + 0.0908906i
\(11\) −417.226 417.226i −1.03966 1.03966i −0.999181 0.0404750i \(-0.987113\pi\)
−0.0404750 0.999181i \(-0.512887\pi\)
\(12\) 297.793 + 117.588i 0.596982 + 0.235727i
\(13\) −493.876 + 493.876i −0.810513 + 0.810513i −0.984711 0.174198i \(-0.944267\pi\)
0.174198 + 0.984711i \(0.444267\pi\)
\(14\) −1026.17 673.394i −1.39927 0.918226i
\(15\) −250.131 −0.287038
\(16\) −699.602 + 747.752i −0.683205 + 0.730227i
\(17\) 483.637 0.405880 0.202940 0.979191i \(-0.434950\pi\)
0.202940 + 0.979191i \(0.434950\pi\)
\(18\) −675.818 443.484i −0.491641 0.322624i
\(19\) 1926.61 1926.61i 1.22436 1.22436i 0.258299 0.966065i \(-0.416838\pi\)
0.966065 0.258299i \(-0.0831621\pi\)
\(20\) 293.815 744.092i 0.164248 0.415960i
\(21\) −1535.04 1535.04i −0.759579 0.759579i
\(22\) 3268.14 678.368i 1.43961 0.298819i
\(23\) 591.078i 0.232984i −0.993192 0.116492i \(-0.962835\pi\)
0.993192 0.116492i \(-0.0371649\pi\)
\(24\) −1480.35 + 1043.46i −0.524609 + 0.369784i
\(25\) 625.000i 0.200000i
\(26\) −802.994 3868.55i −0.232959 1.12232i
\(27\) −2730.12 2730.12i −0.720730 0.720730i
\(28\) 6369.59 2763.33i 1.53538 0.666097i
\(29\) −969.284 + 969.284i −0.214021 + 0.214021i −0.805973 0.591952i \(-0.798357\pi\)
0.591952 + 0.805973i \(0.298357\pi\)
\(30\) 776.299 1182.99i 0.157480 0.239981i
\(31\) −6059.88 −1.13256 −0.566278 0.824214i \(-0.691617\pi\)
−0.566278 + 0.824214i \(0.691617\pi\)
\(32\) −1365.21 5629.44i −0.235680 0.971831i
\(33\) 5903.56 0.943689
\(34\) −1501.00 + 2287.35i −0.222681 + 0.339340i
\(35\) −3835.60 + 3835.60i −0.529253 + 0.529253i
\(36\) 4194.89 1819.87i 0.539466 0.234037i
\(37\) −4317.69 4317.69i −0.518498 0.518498i 0.398619 0.917117i \(-0.369490\pi\)
−0.917117 + 0.398619i \(0.869490\pi\)
\(38\) 3132.48 + 15091.2i 0.351908 + 1.69537i
\(39\) 6988.13i 0.735698i
\(40\) 2607.28 + 3698.93i 0.257655 + 0.365533i
\(41\) 5217.66i 0.484749i −0.970183 0.242374i \(-0.922074\pi\)
0.970183 0.242374i \(-0.0779262\pi\)
\(42\) 12024.1 2495.83i 1.05179 0.218319i
\(43\) −9663.00 9663.00i −0.796968 0.796968i 0.185648 0.982616i \(-0.440562\pi\)
−0.982616 + 0.185648i \(0.940562\pi\)
\(44\) −6934.59 + 17561.9i −0.539994 + 1.36754i
\(45\) −2526.05 + 2526.05i −0.185956 + 0.185956i
\(46\) 2795.49 + 1834.45i 0.194788 + 0.127824i
\(47\) −8662.87 −0.572028 −0.286014 0.958225i \(-0.592330\pi\)
−0.286014 + 0.958225i \(0.592330\pi\)
\(48\) −340.650 10239.7i −0.0213406 0.641482i
\(49\) −30270.8 −1.80108
\(50\) −2955.92 1939.73i −0.167212 0.109728i
\(51\) −3421.62 + 3421.62i −0.184207 + 0.184207i
\(52\) 20788.3 + 8208.58i 1.06613 + 0.420978i
\(53\) 23217.4 + 23217.4i 1.13533 + 1.13533i 0.989276 + 0.146057i \(0.0466584\pi\)
0.146057 + 0.989276i \(0.453342\pi\)
\(54\) 21385.1 4438.91i 0.997993 0.207153i
\(55\) 14751.2i 0.657536i
\(56\) −6699.40 + 38701.0i −0.285473 + 1.64912i
\(57\) 27260.7i 1.11135i
\(58\) −1575.96 7592.43i −0.0615141 0.296354i
\(59\) 25645.8 + 25645.8i 0.959148 + 0.959148i 0.999198 0.0400493i \(-0.0127515\pi\)
−0.0400493 + 0.999198i \(0.512751\pi\)
\(60\) 3185.60 + 7342.96i 0.114239 + 0.263326i
\(61\) −11104.1 + 11104.1i −0.382084 + 0.382084i −0.871852 0.489769i \(-0.837081\pi\)
0.489769 + 0.871852i \(0.337081\pi\)
\(62\) 18807.2 28660.0i 0.621364 0.946885i
\(63\) −31004.6 −0.984179
\(64\) 30861.3 + 11014.7i 0.941812 + 0.336141i
\(65\) −17461.2 −0.512613
\(66\) −18322.1 + 27920.7i −0.517744 + 0.788981i
\(67\) 27787.9 27787.9i 0.756255 0.756255i −0.219384 0.975639i \(-0.570405\pi\)
0.975639 + 0.219384i \(0.0704048\pi\)
\(68\) −6159.47 14197.9i −0.161537 0.372350i
\(69\) 4181.75 + 4181.75i 0.105739 + 0.105739i
\(70\) −6236.30 30044.4i −0.152119 0.732855i
\(71\) 3346.53i 0.0787860i 0.999224 + 0.0393930i \(0.0125424\pi\)
−0.999224 + 0.0393930i \(0.987458\pi\)
\(72\) −4412.09 + 25487.7i −0.100303 + 0.579428i
\(73\) 47360.9i 1.04019i 0.854109 + 0.520095i \(0.174103\pi\)
−0.854109 + 0.520095i \(0.825897\pi\)
\(74\) 33820.6 7020.14i 0.717963 0.149027i
\(75\) −4421.74 4421.74i −0.0907694 0.0907694i
\(76\) −81095.4 32021.7i −1.61051 0.635931i
\(77\) 90527.3 90527.3i 1.74001 1.74001i
\(78\) 33050.1 + 21688.1i 0.615087 + 0.403632i
\(79\) −67155.2 −1.21063 −0.605316 0.795986i \(-0.706953\pi\)
−0.605316 + 0.795986i \(0.706953\pi\)
\(80\) −25585.8 + 851.179i −0.446966 + 0.0148695i
\(81\) 3906.50 0.0661569
\(82\) 24676.8 + 16193.4i 0.405279 + 0.265952i
\(83\) −65578.9 + 65578.9i −1.04489 + 1.04489i −0.0459413 + 0.998944i \(0.514629\pi\)
−0.998944 + 0.0459413i \(0.985371\pi\)
\(84\) −25513.5 + 64613.4i −0.394523 + 0.999135i
\(85\) 8549.58 + 8549.58i 0.128350 + 0.128350i
\(86\) 75690.6 15711.1i 1.10356 0.229066i
\(87\) 13714.9i 0.194265i
\(88\) −61536.7 87301.6i −0.847086 1.20175i
\(89\) 24484.9i 0.327659i 0.986489 + 0.163830i \(0.0523848\pi\)
−0.986489 + 0.163830i \(0.947615\pi\)
\(90\) −4107.11 19786.7i −0.0534478 0.257493i
\(91\) −107158. 107158.i −1.35651 1.35651i
\(92\) −17352.0 + 7527.82i −0.213737 + 0.0927256i
\(93\) 42872.3 42872.3i 0.514007 0.514007i
\(94\) 26885.8 40970.8i 0.313836 0.478249i
\(95\) 68116.1 0.774356
\(96\) 49485.6 + 30168.5i 0.548025 + 0.334100i
\(97\) 149024. 1.60815 0.804076 0.594527i \(-0.202661\pi\)
0.804076 + 0.594527i \(0.202661\pi\)
\(98\) 93947.6 143165.i 0.988144 1.50581i
\(99\) 59619.5 59619.5i 0.611365 0.611365i
\(100\) 18347.8 7959.84i 0.183478 0.0795984i
\(101\) 73547.7 + 73547.7i 0.717407 + 0.717407i 0.968074 0.250666i \(-0.0806497\pi\)
−0.250666 + 0.968074i \(0.580650\pi\)
\(102\) −5563.22 26801.7i −0.0529451 0.255072i
\(103\) 9599.50i 0.0891570i 0.999006 + 0.0445785i \(0.0141945\pi\)
−0.999006 + 0.0445785i \(0.985806\pi\)
\(104\) −103340. + 72841.9i −0.936884 + 0.660386i
\(105\) 54272.0i 0.480400i
\(106\) −181863. + 37749.1i −1.57209 + 0.326319i
\(107\) −86220.5 86220.5i −0.728033 0.728033i 0.242195 0.970228i \(-0.422133\pi\)
−0.970228 + 0.242195i \(0.922133\pi\)
\(108\) −45376.6 + 114917.i −0.374345 + 0.948034i
\(109\) −43134.4 + 43134.4i −0.347742 + 0.347742i −0.859268 0.511526i \(-0.829081\pi\)
0.511526 + 0.859268i \(0.329081\pi\)
\(110\) 69765.1 + 45781.2i 0.549739 + 0.360749i
\(111\) 61093.4 0.470638
\(112\) −162243. 151796.i −1.22214 1.14344i
\(113\) −200146. −1.47452 −0.737261 0.675608i \(-0.763881\pi\)
−0.737261 + 0.675608i \(0.763881\pi\)
\(114\) −128929. 84605.5i −0.929154 0.609728i
\(115\) 10448.9 10448.9i 0.0736759 0.0736759i
\(116\) 40799.3 + 16110.2i 0.281519 + 0.111162i
\(117\) −70572.5 70572.5i −0.476618 0.476618i
\(118\) −200884. + 41697.5i −1.32813 + 0.275680i
\(119\) 104937.i 0.679298i
\(120\) −44615.0 7723.16i −0.282832 0.0489601i
\(121\) 187104.i 1.16177i
\(122\) −18054.1 86978.7i −0.109819 0.529070i
\(123\) 36913.8 + 36913.8i 0.220002 + 0.220002i
\(124\) 77177.0 + 177897.i 0.450748 + 1.03899i
\(125\) −11048.5 + 11048.5i −0.0632456 + 0.0632456i
\(126\) 96224.7 146635.i 0.539958 0.822832i
\(127\) −83472.8 −0.459236 −0.229618 0.973281i \(-0.573748\pi\)
−0.229618 + 0.973281i \(0.573748\pi\)
\(128\) −147874. + 111773.i −0.797748 + 0.602991i
\(129\) 136727. 0.723403
\(130\) 54191.9 82582.0i 0.281239 0.428575i
\(131\) 219481. 219481.i 1.11743 1.11743i 0.125308 0.992118i \(-0.460008\pi\)
0.992118 0.125308i \(-0.0399920\pi\)
\(132\) −75186.2 173308.i −0.375581 0.865730i
\(133\) 418026. + 418026.i 2.04915 + 2.04915i
\(134\) 45180.3 + 217663.i 0.217364 + 1.04718i
\(135\) 96524.4i 0.455830i
\(136\) 86264.7 + 14933.0i 0.399932 + 0.0692309i
\(137\) 15036.0i 0.0684435i −0.999414 0.0342217i \(-0.989105\pi\)
0.999414 0.0342217i \(-0.0108952\pi\)
\(138\) −32755.8 + 6799.11i −0.146417 + 0.0303916i
\(139\) −267131. 267131.i −1.17270 1.17270i −0.981564 0.191136i \(-0.938783\pi\)
−0.191136 0.981564i \(-0.561217\pi\)
\(140\) 161449. + 63750.4i 0.696169 + 0.274892i
\(141\) 61287.9 61287.9i 0.259613 0.259613i
\(142\) −15827.3 10386.2i −0.0658698 0.0432250i
\(143\) 412116. 1.68531
\(144\) −106850. 99969.7i −0.429406 0.401756i
\(145\) −34269.4 −0.135359
\(146\) −223992. 146988.i −0.869661 0.570688i
\(147\) 214159. 214159.i 0.817417 0.817417i
\(148\) −71763.1 + 181741.i −0.269306 + 0.682023i
\(149\) 61314.4 + 61314.4i 0.226254 + 0.226254i 0.811126 0.584872i \(-0.198855\pi\)
−0.584872 + 0.811126i \(0.698855\pi\)
\(150\) 34635.6 7189.30i 0.125688 0.0260891i
\(151\) 371568.i 1.32616i 0.748549 + 0.663079i \(0.230751\pi\)
−0.748549 + 0.663079i \(0.769249\pi\)
\(152\) 403131. 284157.i 1.41526 0.997582i
\(153\) 69109.4i 0.238676i
\(154\) 147188. + 709103.i 0.500117 + 2.40939i
\(155\) −107125. 107125.i −0.358146 0.358146i
\(156\) −205147. + 88999.0i −0.674921 + 0.292802i
\(157\) −72212.4 + 72212.4i −0.233810 + 0.233810i −0.814281 0.580471i \(-0.802868\pi\)
0.580471 + 0.814281i \(0.302868\pi\)
\(158\) 208421. 317608.i 0.664199 1.01216i
\(159\) −328515. −1.03054
\(160\) 75381.8 123649.i 0.232791 0.381849i
\(161\) 128249. 0.389932
\(162\) −12124.1 + 18475.7i −0.0362962 + 0.0553112i
\(163\) −119483. + 119483.i −0.352239 + 0.352239i −0.860942 0.508703i \(-0.830125\pi\)
0.508703 + 0.860942i \(0.330125\pi\)
\(164\) −153172. + 66450.8i −0.444703 + 0.192926i
\(165\) 104361. + 104361.i 0.298421 + 0.298421i
\(166\) −106625. 513682.i −0.300322 1.44685i
\(167\) 625809.i 1.73640i 0.496212 + 0.868201i \(0.334724\pi\)
−0.496212 + 0.868201i \(0.665276\pi\)
\(168\) −226404. 321197.i −0.618886 0.878009i
\(169\) 116535.i 0.313862i
\(170\) −66969.1 + 13900.8i −0.177727 + 0.0368906i
\(171\) 275304. + 275304.i 0.719982 + 0.719982i
\(172\) −160606. + 406737.i −0.413943 + 1.04832i
\(173\) 59342.6 59342.6i 0.150748 0.150748i −0.627704 0.778452i \(-0.716005\pi\)
0.778452 + 0.627704i \(0.216005\pi\)
\(174\) 64864.3 + 42565.2i 0.162418 + 0.106581i
\(175\) −135609. −0.334729
\(176\) 603873. 20089.4i 1.46948 0.0488861i
\(177\) −362876. −0.870614
\(178\) −115800. 75990.4i −0.273943 0.179767i
\(179\) −449773. + 449773.i −1.04921 + 1.04921i −0.0504817 + 0.998725i \(0.516076\pi\)
−0.998725 + 0.0504817i \(0.983924\pi\)
\(180\) 106327. + 41984.8i 0.244603 + 0.0965852i
\(181\) −420374. 420374.i −0.953761 0.953761i 0.0452160 0.998977i \(-0.485602\pi\)
−0.998977 + 0.0452160i \(0.985602\pi\)
\(182\) 839376. 174229.i 1.87836 0.389890i
\(183\) 157118.i 0.346815i
\(184\) 18250.4 105429.i 0.0397400 0.229569i
\(185\) 152653.i 0.327927i
\(186\) 69706.1 + 335820.i 0.147737 + 0.711745i
\(187\) −201786. 201786.i −0.421975 0.421975i
\(188\) 110328. + 254311.i 0.227662 + 0.524772i
\(189\) 592366. 592366.i 1.20625 1.20625i
\(190\) −211403. + 322153.i −0.424841 + 0.647408i
\(191\) 203827. 0.404276 0.202138 0.979357i \(-0.435211\pi\)
0.202138 + 0.979357i \(0.435211\pi\)
\(192\) −296263. + 140410.i −0.579995 + 0.274882i
\(193\) −689302. −1.33204 −0.666018 0.745936i \(-0.732003\pi\)
−0.666018 + 0.745936i \(0.732003\pi\)
\(194\) −462506. + 704804.i −0.882293 + 1.34451i
\(195\) 123534. 123534.i 0.232648 0.232648i
\(196\) 385521. + 888644.i 0.716817 + 1.65230i
\(197\) 223562. + 223562.i 0.410424 + 0.410424i 0.881886 0.471463i \(-0.156274\pi\)
−0.471463 + 0.881886i \(0.656274\pi\)
\(198\) 96935.4 + 467002.i 0.175719 + 0.846556i
\(199\) 149236.i 0.267142i −0.991039 0.133571i \(-0.957356\pi\)
0.991039 0.133571i \(-0.0426443\pi\)
\(200\) −19297.8 + 111479.i −0.0341140 + 0.197069i
\(201\) 393186.i 0.686448i
\(202\) −576102. + 119581.i −0.993393 + 0.206198i
\(203\) −210310. 210310.i −0.358195 0.358195i
\(204\) 144024. + 56869.8i 0.242303 + 0.0956768i
\(205\) 92236.1 92236.1i 0.153291 0.153291i
\(206\) −45400.5 29792.7i −0.0745406 0.0489150i
\(207\) 84462.2 0.137005
\(208\) −23780.1 714814.i −0.0381115 1.14560i
\(209\) −1.60767e6 −2.54583
\(210\) 256678. + 168437.i 0.401643 + 0.263566i
\(211\) 218926. 218926.i 0.338526 0.338526i −0.517286 0.855812i \(-0.673058\pi\)
0.855812 + 0.517286i \(0.173058\pi\)
\(212\) 385889. 977270.i 0.589689 1.49340i
\(213\) −23676.0 23676.0i −0.0357568 0.0357568i
\(214\) 675368. 140186.i 1.00811 0.209252i
\(215\) 341639.i 0.504047i
\(216\) −402666. 571259.i −0.587233 0.833103i
\(217\) 1.31484e6i 1.89550i
\(218\) −70132.3 337873.i −0.0999486 0.481518i
\(219\) −335068. 335068.i −0.472087 0.472087i
\(220\) −433042. + 187867.i −0.603216 + 0.261694i
\(221\) −238857. + 238857.i −0.328971 + 0.328971i
\(222\) −189607. + 288939.i −0.258210 + 0.393481i
\(223\) 357118. 0.480895 0.240447 0.970662i \(-0.422706\pi\)
0.240447 + 0.970662i \(0.422706\pi\)
\(224\) 1.22144e6 296215.i 1.62650 0.394445i
\(225\) −89309.4 −0.117609
\(226\) 621168. 946586.i 0.808980 1.23279i
\(227\) −155731. + 155731.i −0.200591 + 0.200591i −0.800253 0.599662i \(-0.795302\pi\)
0.599662 + 0.800253i \(0.295302\pi\)
\(228\) 800278. 347185.i 1.01954 0.442308i
\(229\) −503313. 503313.i −0.634234 0.634234i 0.314893 0.949127i \(-0.398031\pi\)
−0.949127 + 0.314893i \(0.898031\pi\)
\(230\) 16988.9 + 81846.5i 0.0211760 + 0.102019i
\(231\) 1.28092e6i 1.57940i
\(232\) −202816. + 142960.i −0.247390 + 0.174379i
\(233\) 413730.i 0.499261i 0.968341 + 0.249630i \(0.0803091\pi\)
−0.968341 + 0.249630i \(0.919691\pi\)
\(234\) 552797. 114744.i 0.659973 0.136990i
\(235\) −153139. 153139.i −0.180891 0.180891i
\(236\) 426251. 1.07949e6i 0.498179 1.26165i
\(237\) 475108. 475108.i 0.549441 0.549441i
\(238\) −496295. 325678.i −0.567934 0.372689i
\(239\) 548113. 0.620691 0.310345 0.950624i \(-0.399555\pi\)
0.310345 + 0.950624i \(0.399555\pi\)
\(240\) 174992. 187036.i 0.196106 0.209603i
\(241\) −1.29359e6 −1.43467 −0.717337 0.696726i \(-0.754639\pi\)
−0.717337 + 0.696726i \(0.754639\pi\)
\(242\) −884901. 580689.i −0.971307 0.637390i
\(243\) 635782. 635782.i 0.690705 0.690705i
\(244\) 467395. + 184558.i 0.502585 + 0.198453i
\(245\) −535118. 535118.i −0.569553 0.569553i
\(246\) −289147. + 60018.2i −0.304636 + 0.0632332i
\(247\) 1.90302e6i 1.98473i
\(248\) −1.08088e6 187108.i −1.11596 0.193180i
\(249\) 927912.i 0.948437i
\(250\) −17963.8 86543.6i −0.0181781 0.0875760i
\(251\) 150187. + 150187.i 0.150469 + 0.150469i 0.778328 0.627858i \(-0.216068\pi\)
−0.627858 + 0.778328i \(0.716068\pi\)
\(252\) 394866. + 910183.i 0.391695 + 0.902875i
\(253\) −246613. + 246613.i −0.242223 + 0.242223i
\(254\) 259063. 394782.i 0.251954 0.383948i
\(255\) −120973. −0.116503
\(256\) −69690.1 1.04626e6i −0.0664616 0.997789i
\(257\) 745181. 0.703767 0.351883 0.936044i \(-0.385541\pi\)
0.351883 + 0.936044i \(0.385541\pi\)
\(258\) −424342. + 646647.i −0.396887 + 0.604808i
\(259\) 936828. 936828.i 0.867781 0.867781i
\(260\) 222381. + 512598.i 0.204016 + 0.470266i
\(261\) −138506. 138506.i −0.125854 0.125854i
\(262\) 356854. + 1.71920e6i 0.321172 + 1.54730i
\(263\) 1.33867e6i 1.19339i 0.802467 + 0.596696i \(0.203520\pi\)
−0.802467 + 0.596696i \(0.796480\pi\)
\(264\) 1.05300e6 + 182281.i 0.929860 + 0.160965i
\(265\) 820858.i 0.718048i
\(266\) −3.27441e6 + 679668.i −2.83745 + 0.588969i
\(267\) −173225. 173225.i −0.148707 0.148707i
\(268\) −1.16965e6 461854.i −0.994763 0.392796i
\(269\) 810623. 810623.i 0.683028 0.683028i −0.277654 0.960681i \(-0.589557\pi\)
0.960681 + 0.277654i \(0.0895567\pi\)
\(270\) 456509. + 299570.i 0.381101 + 0.250086i
\(271\) −744134. −0.615500 −0.307750 0.951467i \(-0.599576\pi\)
−0.307750 + 0.951467i \(0.599576\pi\)
\(272\) −338353. + 361641.i −0.277299 + 0.296384i
\(273\) 1.51624e6 1.23130
\(274\) 71112.5 + 46665.4i 0.0572228 + 0.0375507i
\(275\) 260766. 260766.i 0.207931 0.207931i
\(276\) 69503.6 176019.i 0.0549205 0.139087i
\(277\) 95953.8 + 95953.8i 0.0751385 + 0.0751385i 0.743677 0.668539i \(-0.233080\pi\)
−0.668539 + 0.743677i \(0.733080\pi\)
\(278\) 2.09244e6 434328.i 1.62384 0.337059i
\(279\) 865927.i 0.665995i
\(280\) −802573. + 565713.i −0.611771 + 0.431222i
\(281\) 238131.i 0.179908i −0.995946 0.0899540i \(-0.971328\pi\)
0.995946 0.0899540i \(-0.0286720\pi\)
\(282\) 99648.0 + 480070.i 0.0746183 + 0.359486i
\(283\) 1.11933e6 + 1.11933e6i 0.830792 + 0.830792i 0.987625 0.156833i \(-0.0501286\pi\)
−0.156833 + 0.987625i \(0.550129\pi\)
\(284\) 98242.2 42620.5i 0.0722774 0.0313562i
\(285\) −481906. + 481906.i −0.351439 + 0.351439i
\(286\) −1.27903e6 + 1.94909e6i −0.924625 + 1.40902i
\(287\) 1.13210e6 0.811297
\(288\) 804420. 195081.i 0.571481 0.138591i
\(289\) −1.18595e6 −0.835262
\(290\) 106357. 162076.i 0.0742629 0.113168i
\(291\) −1.05431e6 + 1.05431e6i −0.729855 + 0.729855i
\(292\) 1.39035e6 603176.i 0.954259 0.413987i
\(293\) 1.12741e6 + 1.12741e6i 0.767209 + 0.767209i 0.977614 0.210405i \(-0.0674784\pi\)
−0.210405 + 0.977614i \(0.567478\pi\)
\(294\) 348202. + 1.67752e6i 0.234943 + 1.13188i
\(295\) 906715.i 0.606619i
\(296\) −636817. 903447.i −0.422460 0.599340i
\(297\) 2.27815e6i 1.49862i
\(298\) −480278. + 99691.1i −0.313294 + 0.0650303i
\(299\) 291920. + 291920.i 0.188836 + 0.188836i
\(300\) −73492.4 + 186121.i −0.0471454 + 0.119396i
\(301\) 2.09662e6 2.09662e6i 1.33384 1.33384i
\(302\) −1.75732e6 1.15319e6i −1.10875 0.727582i
\(303\) −1.04067e6 −0.651187
\(304\) 92766.4 + 2.78849e6i 0.0575714 + 1.73056i
\(305\) −392589. −0.241651
\(306\) −326850. 214486.i −0.199547 0.130947i
\(307\) −555665. + 555665.i −0.336486 + 0.336486i −0.855043 0.518557i \(-0.826469\pi\)
0.518557 + 0.855043i \(0.326469\pi\)
\(308\) −3.81049e6 1.50463e6i −2.28878 0.903758i
\(309\) −67914.3 67914.3i −0.0404637 0.0404637i
\(310\) 839110. 174174.i 0.495924 0.102939i
\(311\) 1.58351e6i 0.928367i −0.885739 0.464184i \(-0.846348\pi\)
0.885739 0.464184i \(-0.153652\pi\)
\(312\) 215769. 1.24645e6i 0.125488 0.724917i
\(313\) 2.57948e6i 1.48823i 0.668050 + 0.744116i \(0.267129\pi\)
−0.668050 + 0.744116i \(0.732871\pi\)
\(314\) −117410. 565642.i −0.0672019 0.323756i
\(315\) −548088. 548088.i −0.311225 0.311225i
\(316\) 855271. + 1.97144e6i 0.481821 + 1.11062i
\(317\) −1.76710e6 + 1.76710e6i −0.987672 + 0.987672i −0.999925 0.0122526i \(-0.996100\pi\)
0.0122526 + 0.999925i \(0.496100\pi\)
\(318\) 1.01957e6 1.55370e6i 0.565391 0.861589i
\(319\) 808820. 0.445016
\(320\) 350842. + 740269.i 0.191530 + 0.404124i
\(321\) 1.21998e6 0.660831
\(322\) −398029. + 606549.i −0.213932 + 0.326006i
\(323\) 931782. 931782.i 0.496945 0.496945i
\(324\) −49752.2 114681.i −0.0263299 0.0606917i
\(325\) −308673. 308673.i −0.162103 0.162103i
\(326\) −194268. 935916.i −0.101241 0.487745i
\(327\) 610333.i 0.315644i
\(328\) 161103. 930657.i 0.0826835 0.477645i
\(329\) 1.87962e6i 0.957371i
\(330\) −817465. + 169681.i −0.413223 + 0.0857725i
\(331\) 1.43137e6 + 1.43137e6i 0.718096 + 0.718096i 0.968215 0.250119i \(-0.0804698\pi\)
−0.250119 + 0.968215i \(0.580470\pi\)
\(332\) 2.76036e6 + 1.08997e6i 1.37442 + 0.542711i
\(333\) 616977. 616977.i 0.304901 0.304901i
\(334\) −2.95974e6 1.94224e6i −1.45174 0.952657i
\(335\) 982449. 0.478297
\(336\) 2.22175e6 73912.4i 1.07361 0.0357165i
\(337\) −2.02889e6 −0.973161 −0.486581 0.873636i \(-0.661756\pi\)
−0.486581 + 0.873636i \(0.661756\pi\)
\(338\) 551147. + 361673.i 0.262407 + 0.172197i
\(339\) 1.41599e6 1.41599e6i 0.669208 0.669208i
\(340\) 142100. 359870.i 0.0666648 0.168830i
\(341\) 2.52834e6 + 2.52834e6i 1.17747 + 1.17747i
\(342\) −2.15646e6 + 447616.i −0.996958 + 0.206938i
\(343\) 2.92131e6i 1.34073i
\(344\) −1.42520e6 2.02192e6i −0.649350 0.921228i
\(345\) 147847.i 0.0668752i
\(346\) 96485.2 + 464833.i 0.0433282 + 0.208740i
\(347\) 1.08811e6 + 1.08811e6i 0.485120 + 0.485120i 0.906762 0.421642i \(-0.138546\pi\)
−0.421642 + 0.906762i \(0.638546\pi\)
\(348\) −402622. + 174670.i −0.178217 + 0.0773160i
\(349\) 442584. 442584.i 0.194506 0.194506i −0.603134 0.797640i \(-0.706082\pi\)
0.797640 + 0.603134i \(0.206082\pi\)
\(350\) 420871. 641358.i 0.183645 0.279853i
\(351\) 2.69668e6 1.16832
\(352\) −1.77915e6 + 2.91835e6i −0.765343 + 1.25540i
\(353\) −3440.60 −0.00146960 −0.000734798 1.00000i \(-0.500234\pi\)
−0.000734798 1.00000i \(0.500234\pi\)
\(354\) 1.12621e6 1.71621e6i 0.477652 0.727885i
\(355\) −59158.9 + 59158.9i −0.0249143 + 0.0249143i
\(356\) 718789. 311833.i 0.300591 0.130406i
\(357\) −742404. 742404.i −0.308298 0.308298i
\(358\) −731287. 3.52309e6i −0.301564 1.45283i
\(359\) 2.06856e6i 0.847094i −0.905874 0.423547i \(-0.860785\pi\)
0.905874 0.423547i \(-0.139215\pi\)
\(360\) −528559. + 372568.i −0.214950 + 0.151513i
\(361\) 4.94758e6i 1.99814i
\(362\) 3.29281e6 683487.i 1.32067 0.274131i
\(363\) −1.32372e6 1.32372e6i −0.527265 0.527265i
\(364\) −1.78105e6 + 4.51053e6i −0.704567 + 1.78433i
\(365\) −837230. + 837230.i −0.328937 + 0.328937i
\(366\) 743084. + 487626.i 0.289958 + 0.190276i
\(367\) −1.80973e6 −0.701371 −0.350685 0.936493i \(-0.614051\pi\)
−0.350685 + 0.936493i \(0.614051\pi\)
\(368\) 441980. + 413520.i 0.170131 + 0.159176i
\(369\) 745578. 0.285054
\(370\) 721969. + 473770.i 0.274167 + 0.179913i
\(371\) −5.03757e6 + 5.03757e6i −1.90014 + 1.90014i
\(372\) −1.80459e6 712568.i −0.676115 0.266974i
\(373\) 1.28328e6 + 1.28328e6i 0.477585 + 0.477585i 0.904358 0.426774i \(-0.140350\pi\)
−0.426774 + 0.904358i \(0.640350\pi\)
\(374\) 1.58060e6 328084.i 0.584308 0.121285i
\(375\) 156332.i 0.0574076i
\(376\) −1.54517e6 267479.i −0.563645 0.0975707i
\(377\) 957413.i 0.346933i
\(378\) 963128. + 4.64002e6i 0.346701 + 1.67029i
\(379\) 386813. + 386813.i 0.138326 + 0.138326i 0.772879 0.634553i \(-0.218816\pi\)
−0.634553 + 0.772879i \(0.718816\pi\)
\(380\) −867508. 1.99965e6i −0.308187 0.710386i
\(381\) 590551. 590551.i 0.208423 0.208423i
\(382\) −632591. + 963994.i −0.221802 + 0.337999i
\(383\) −2.35991e6 −0.822051 −0.411026 0.911624i \(-0.634829\pi\)
−0.411026 + 0.911624i \(0.634829\pi\)
\(384\) 255405. 1.83694e6i 0.0883897 0.635721i
\(385\) 3.20062e6 1.10048
\(386\) 2.13929e6 3.26003e6i 0.730806 1.11366i
\(387\) 1.38080e6 1.38080e6i 0.468654 0.468654i
\(388\) −1.89793e6 4.37481e6i −0.640031 1.47530i
\(389\) −651614. 651614.i −0.218331 0.218331i 0.589464 0.807795i \(-0.299339\pi\)
−0.807795 + 0.589464i \(0.799339\pi\)
\(390\) 200854. + 967645.i 0.0668680 + 0.322147i
\(391\) 285867.i 0.0945633i
\(392\) −5.39931e6 934656.i −1.77469 0.307211i
\(393\) 3.10556e6i 1.01428i
\(394\) −1.75117e6 + 363489.i −0.568313 + 0.117964i
\(395\) −1.18715e6 1.18715e6i −0.382835 0.382835i
\(396\) −2.50952e6 990919.i −0.804177 0.317541i
\(397\) 1.40378e6 1.40378e6i 0.447016 0.447016i −0.447346 0.894361i \(-0.647631\pi\)
0.894361 + 0.447346i \(0.147631\pi\)
\(398\) 705808. + 463165.i 0.223346 + 0.146564i
\(399\) −5.91488e6 −1.86000
\(400\) −467345. 437251.i −0.146045 0.136641i
\(401\) 2.39480e6 0.743719 0.371859 0.928289i \(-0.378720\pi\)
0.371859 + 0.928289i \(0.378720\pi\)
\(402\) −1.85956e6 1.22028e6i −0.573911 0.376612i
\(403\) 2.99283e6 2.99283e6i 0.917951 0.917951i
\(404\) 1.22242e6 3.09578e6i 0.372619 0.943664i
\(405\) 69057.8 + 69057.8i 0.0209207 + 0.0209207i
\(406\) 1.64736e6 341943.i 0.495991 0.102953i
\(407\) 3.60290e6i 1.07812i
\(408\) −715951. + 504656.i −0.212928 + 0.150088i
\(409\) 2.89358e6i 0.855317i 0.903940 + 0.427659i \(0.140661\pi\)
−0.903940 + 0.427659i \(0.859339\pi\)
\(410\) 149967. + 722489.i 0.0440591 + 0.212262i
\(411\) 106377. + 106377.i 0.0310629 + 0.0310629i
\(412\) 281807. 122257.i 0.0817917 0.0354838i
\(413\) −5.56447e6 + 5.56447e6i −1.60527 + 1.60527i
\(414\) −262134. + 399461.i −0.0751662 + 0.114544i
\(415\) −2.31856e6 −0.660844
\(416\) 3.45449e6 + 2.10601e6i 0.978703 + 0.596659i
\(417\) 3.77978e6 1.06445
\(418\) 4.98950e6 7.60340e6i 1.39674 2.12847i
\(419\) −3.70073e6 + 3.70073e6i −1.02980 + 1.02980i −0.0302572 + 0.999542i \(0.509633\pi\)
−0.999542 + 0.0302572i \(0.990367\pi\)
\(420\) −1.59323e6 + 691194.i −0.440713 + 0.191195i
\(421\) −4.84285e6 4.84285e6i −1.33167 1.33167i −0.903878 0.427790i \(-0.859292\pi\)
−0.427790 0.903878i \(-0.640708\pi\)
\(422\) 355953. + 1.71486e6i 0.0972996 + 0.468756i
\(423\) 1.23788e6i 0.336378i
\(424\) 3.42433e6 + 4.85807e6i 0.925042 + 1.31235i
\(425\) 302273.i 0.0811759i
\(426\) 185455. 38494.7i 0.0495124 0.0102773i
\(427\) −2.40930e6 2.40930e6i −0.639472 0.639472i
\(428\) −1.43305e6 + 3.62921e6i −0.378138 + 0.957640i
\(429\) −2.91563e6 + 2.91563e6i −0.764872 + 0.764872i
\(430\) 1.61577e6 + 1.06030e6i 0.421413 + 0.276539i
\(431\) 4.36584e6 1.13207 0.566036 0.824380i \(-0.308476\pi\)
0.566036 + 0.824380i \(0.308476\pi\)
\(432\) 3.95145e6 131455.i 1.01870 0.0338898i
\(433\) 4.67031e6 1.19709 0.598544 0.801090i \(-0.295746\pi\)
0.598544 + 0.801090i \(0.295746\pi\)
\(434\) 6.21848e6 + 4.08069e6i 1.58475 + 1.03994i
\(435\) 242448. 242448.i 0.0614321 0.0614321i
\(436\) 1.81562e6 + 716925.i 0.457414 + 0.180616i
\(437\) −1.13878e6 1.13878e6i −0.285257 0.285257i
\(438\) 2.62460e6 544787.i 0.653698 0.135688i
\(439\) 1.07183e6i 0.265439i −0.991154 0.132719i \(-0.957629\pi\)
0.991154 0.132719i \(-0.0423709\pi\)
\(440\) 455464. 2.63111e6i 0.112156 0.647900i
\(441\) 4.32555e6i 1.05912i
\(442\) −388358. 1.87097e6i −0.0945532 0.455525i
\(443\) −3.63127e6 3.63127e6i −0.879122 0.879122i 0.114321 0.993444i \(-0.463531\pi\)
−0.993444 + 0.114321i \(0.963531\pi\)
\(444\) −778069. 1.79349e6i −0.187310 0.431758i
\(445\) −432835. + 432835.i −0.103615 + 0.103615i
\(446\) −1.10834e6 + 1.68898e6i −0.263837 + 0.402057i
\(447\) −867571. −0.205370
\(448\) −2.38990e6 + 6.69611e6i −0.562580 + 1.57626i
\(449\) −423915. −0.0992345 −0.0496173 0.998768i \(-0.515800\pi\)
−0.0496173 + 0.998768i \(0.515800\pi\)
\(450\) 277178. 422386.i 0.0645249 0.0983282i
\(451\) −2.17694e6 + 2.17694e6i −0.503971 + 0.503971i
\(452\) 2.54901e6 + 5.87559e6i 0.586848 + 1.35271i
\(453\) −2.62876e6 2.62876e6i −0.601873 0.601873i
\(454\) −253204. 1.21985e6i −0.0576541 0.277758i
\(455\) 3.78862e6i 0.857932i
\(456\) −841715. + 4.86240e6i −0.189563 + 1.09506i
\(457\) 5.39843e6i 1.20914i −0.796552 0.604570i \(-0.793345\pi\)
0.796552 0.604570i \(-0.206655\pi\)
\(458\) 3.94247e6 818337.i 0.878222 0.182292i
\(459\) −1.32039e6 1.32039e6i −0.292530 0.292530i
\(460\) −439817. 173668.i −0.0969119 0.0382671i
\(461\) −4.43640e6 + 4.43640e6i −0.972251 + 0.972251i −0.999625 0.0273743i \(-0.991285\pi\)
0.0273743 + 0.999625i \(0.491285\pi\)
\(462\) −6.05807e6 3.97542e6i −1.32047 0.866520i
\(463\) 2.09563e6 0.454321 0.227161 0.973857i \(-0.427056\pi\)
0.227161 + 0.973857i \(0.427056\pi\)
\(464\) −46671.0 1.40290e6i −0.0100636 0.302504i
\(465\) 1.51576e6 0.325087
\(466\) −1.95672e6 1.28404e6i −0.417412 0.273914i
\(467\) 2.99863e6 2.99863e6i 0.636254 0.636254i −0.313375 0.949629i \(-0.601460\pi\)
0.949629 + 0.313375i \(0.101460\pi\)
\(468\) −1.17296e6 + 2.97055e6i −0.247554 + 0.626935i
\(469\) 6.02925e6 + 6.02925e6i 1.26570 + 1.26570i
\(470\) 1.19955e6 248989.i 0.250479 0.0519919i
\(471\) 1.02177e6i 0.212228i
\(472\) 3.78250e6 + 5.36620e6i 0.781491 + 1.10869i
\(473\) 8.06331e6i 1.65714i
\(474\) 772478. + 3.72154e6i 0.157921 + 0.760811i
\(475\) 1.20413e6 + 1.20413e6i 0.244873 + 0.244873i
\(476\) 3.08057e6 1.33645e6i 0.623181 0.270355i
\(477\) −3.31765e6 + 3.31765e6i −0.667628 + 0.667628i
\(478\) −1.70111e6 + 2.59228e6i −0.340535 + 0.518935i
\(479\) −266427. −0.0530565 −0.0265283 0.999648i \(-0.508445\pi\)
−0.0265283 + 0.999648i \(0.508445\pi\)
\(480\) 341481. + 1.40810e6i 0.0676493 + 0.278952i
\(481\) 4.26481e6 0.840499
\(482\) 4.01474e6 6.11798e6i 0.787118 1.19947i
\(483\) −907332. + 907332.i −0.176969 + 0.176969i
\(484\) 5.49270e6 2.38290e6i 1.06579 0.462374i
\(485\) 2.63440e6 + 2.63440e6i 0.508542 + 0.508542i
\(486\) 1.03372e6 + 4.98010e6i 0.198523 + 0.956418i
\(487\) 2.82554e6i 0.539857i −0.962880 0.269929i \(-0.913000\pi\)
0.962880 0.269929i \(-0.0870001\pi\)
\(488\) −2.32345e6 + 1.63774e6i −0.441656 + 0.311312i
\(489\) 1.69063e6i 0.319725i
\(490\) 4.19160e6 870048.i 0.788659 0.163702i
\(491\) 2.46313e6 + 2.46313e6i 0.461088 + 0.461088i 0.899012 0.437924i \(-0.144286\pi\)
−0.437924 + 0.899012i \(0.644286\pi\)
\(492\) 613534. 1.55378e6i 0.114268 0.289386i
\(493\) −468782. + 468782.i −0.0868667 + 0.0868667i
\(494\) −9.00026e6 5.90614e6i −1.65935 1.08890i
\(495\) 2.10787e6 0.386661
\(496\) 4.23950e6 4.53129e6i 0.773768 0.827023i
\(497\) −726111. −0.131860
\(498\) 4.38853e6 + 2.87984e6i 0.792950 + 0.520349i
\(499\) −3.66662e6 + 3.66662e6i −0.659197 + 0.659197i −0.955190 0.295993i \(-0.904349\pi\)
0.295993 + 0.955190i \(0.404349\pi\)
\(500\) 465057. + 183635.i 0.0831920 + 0.0328496i
\(501\) −4.42746e6 4.42746e6i −0.788061 0.788061i
\(502\) −1.17642e6 + 244189.i −0.208354 + 0.0432481i
\(503\) 8.88930e6i 1.56656i −0.621668 0.783281i \(-0.713545\pi\)
0.621668 0.783281i \(-0.286455\pi\)
\(504\) −5.53018e6 957311.i −0.969756 0.167871i
\(505\) 2.60030e6i 0.453728i
\(506\) −400968. 1.93173e6i −0.0696200 0.335405i
\(507\) 824456. + 824456.i 0.142445 + 0.142445i
\(508\) 1.06309e6 + 2.45046e6i 0.182772 + 0.421298i
\(509\) 4.89974e6 4.89974e6i 0.838259 0.838259i −0.150371 0.988630i \(-0.548047\pi\)
0.988630 + 0.150371i \(0.0480467\pi\)
\(510\) 375447. 572137.i 0.0639180 0.0974034i
\(511\) −1.02761e7 −1.74091
\(512\) 5.16453e6 + 2.91753e6i 0.870675 + 0.491859i
\(513\) −1.05198e7 −1.76487
\(514\) −2.31272e6 + 3.52431e6i −0.386114 + 0.588391i
\(515\) −169697. + 169697.i −0.0281939 + 0.0281939i
\(516\) −1.74132e6 4.01382e6i −0.287909 0.663642i
\(517\) 3.61437e6 + 3.61437e6i 0.594712 + 0.594712i
\(518\) 1.52319e6 + 7.33821e6i 0.249419 + 1.20162i
\(519\) 839672.i 0.136833i
\(520\) −3.11449e6 539139.i −0.505101 0.0874364i
\(521\) 1.15235e7i 1.85991i 0.367676 + 0.929954i \(0.380154\pi\)
−0.367676 + 0.929954i \(0.619846\pi\)
\(522\) 1.08492e6 225197.i 0.174270 0.0361731i
\(523\) −1.14229e6 1.14229e6i −0.182609 0.182609i 0.609883 0.792492i \(-0.291217\pi\)
−0.792492 + 0.609883i \(0.791217\pi\)
\(524\) −9.23844e6 3.64793e6i −1.46984 0.580388i
\(525\) 959403. 959403.i 0.151916 0.151916i
\(526\) −6.33118e6 4.15464e6i −0.997747 0.654741i
\(527\) −2.93078e6 −0.459681
\(528\) −4.13014e6 + 4.41440e6i −0.644733 + 0.689107i
\(529\) 6.08697e6 0.945719
\(530\) −3.88222e6 2.54759e6i −0.600331 0.393949i
\(531\) −3.66465e6 + 3.66465e6i −0.564023 + 0.564023i
\(532\) 6.94788e6 1.75956e7i 1.06432 2.69541i
\(533\) 2.57688e6 + 2.57688e6i 0.392895 + 0.392895i
\(534\) 1.35688e6 281647.i 0.205915 0.0427417i
\(535\) 3.04835e6i 0.460448i
\(536\) 5.81442e6 4.09843e6i 0.874166 0.616178i
\(537\) 6.36409e6i 0.952359i
\(538\) 1.31799e6 + 6.34964e6i 0.196317 + 0.945787i
\(539\) 1.26298e7 + 1.26298e7i 1.87251 + 1.87251i
\(540\) −2.83361e6 + 1.22931e6i −0.418173 + 0.181416i
\(541\) 7.92184e6 7.92184e6i 1.16368 1.16368i 0.180013 0.983664i \(-0.442386\pi\)
0.983664 0.180013i \(-0.0576141\pi\)
\(542\) 2.30947e6 3.51936e6i 0.337687 0.514594i
\(543\) 5.94811e6 0.865724
\(544\) −660265. 2.72261e6i −0.0956579 0.394446i
\(545\) −1.52503e6 −0.219932
\(546\) −4.70577e6 + 7.17103e6i −0.675536 + 1.02944i
\(547\) −2.25195e6 + 2.25195e6i −0.321804 + 0.321804i −0.849459 0.527655i \(-0.823071\pi\)
0.527655 + 0.849459i \(0.323071\pi\)
\(548\) −441405. + 191495.i −0.0627893 + 0.0272399i
\(549\) −1.58672e6 1.58672e6i −0.224683 0.224683i
\(550\) 423980. + 2.04259e6i 0.0597638 + 0.287922i
\(551\) 3.73487e6i 0.524079i
\(552\) 616767. + 875002.i 0.0861535 + 0.122225i
\(553\) 1.45709e7i 2.02617i
\(554\) −751609. + 156011.i −0.104044 + 0.0215964i
\(555\) 1.07999e6 + 1.07999e6i 0.148829 + 0.148829i
\(556\) −4.43990e6 + 1.12441e7i −0.609097 + 1.54255i
\(557\) 745343. 745343.i 0.101793 0.101793i −0.654376 0.756169i \(-0.727069\pi\)
0.756169 + 0.654376i \(0.227069\pi\)
\(558\) 4.09537e6 + 2.68746e6i 0.556811 + 0.365390i
\(559\) 9.54466e6 1.29191
\(560\) −184684. 5.55147e6i −0.0248862 0.748063i
\(561\) 2.85518e6 0.383024
\(562\) 1.12623e6 + 739056.i 0.150414 + 0.0987044i
\(563\) −559661. + 559661.i −0.0744139 + 0.0744139i −0.743334 0.668920i \(-0.766757\pi\)
0.668920 + 0.743334i \(0.266757\pi\)
\(564\) −2.57974e6 1.01865e6i −0.341490 0.134842i
\(565\) −3.53812e6 3.53812e6i −0.466285 0.466285i
\(566\) −8.76775e6 + 1.81992e6i −1.15040 + 0.238787i
\(567\) 847610.i 0.110723i
\(568\) −103329. + 596909.i −0.0134385 + 0.0776314i
\(569\) 1.20216e7i 1.55661i 0.627884 + 0.778307i \(0.283921\pi\)
−0.627884 + 0.778307i \(0.716079\pi\)
\(570\) −783531. 3.77479e6i −0.101011 0.486637i
\(571\) 2.62058e6 + 2.62058e6i 0.336362 + 0.336362i 0.854996 0.518634i \(-0.173559\pi\)
−0.518634 + 0.854996i \(0.673559\pi\)
\(572\) −5.24860e6 1.20983e7i −0.670739 1.54608i
\(573\) −1.44203e6 + 1.44203e6i −0.183480 + 0.183480i
\(574\) −3.51355e6 + 5.35423e6i −0.445108 + 0.678292i
\(575\) 369424. 0.0465967
\(576\) −1.57394e6 + 4.40993e6i −0.197666 + 0.553828i
\(577\) 1.10026e6 0.137581 0.0687903 0.997631i \(-0.478086\pi\)
0.0687903 + 0.997631i \(0.478086\pi\)
\(578\) 3.68068e6 5.60892e6i 0.458257 0.698329i
\(579\) 4.87666e6 4.87666e6i 0.604541 0.604541i
\(580\) 436446. + 1.00603e6i 0.0538716 + 0.124177i
\(581\) −1.42289e7 1.42289e7i −1.74877 1.74877i
\(582\) −1.71421e6 8.25846e6i −0.209776 1.01063i
\(583\) 1.93738e7i 2.36071i
\(584\) −1.46234e6 + 8.44760e6i −0.177425 + 1.02495i
\(585\) 2.49511e6i 0.301440i
\(586\) −8.83106e6 + 1.83306e6i −1.06235 + 0.220512i
\(587\) 6.62334e6 + 6.62334e6i 0.793381 + 0.793381i 0.982042 0.188662i \(-0.0604149\pi\)
−0.188662 + 0.982042i \(0.560415\pi\)
\(588\) −9.01444e6 3.55948e6i −1.07521 0.424564i
\(589\) −1.16750e7 + 1.16750e7i −1.38666 + 1.38666i
\(590\) −4.28828e6 2.81405e6i −0.507170 0.332814i
\(591\) −3.16330e6 −0.372539
\(592\) 6.24923e6 207897.i 0.732862 0.0243805i
\(593\) −500688. −0.0584697 −0.0292348 0.999573i \(-0.509307\pi\)
−0.0292348 + 0.999573i \(0.509307\pi\)
\(594\) −1.07745e7 7.07041e6i −1.25294 0.822201i
\(595\) −1.85504e6 + 1.85504e6i −0.214813 + 0.214813i
\(596\) 1.01909e6 2.58086e6i 0.117516 0.297611i
\(597\) 1.05581e6 + 1.05581e6i 0.121241 + 0.121241i
\(598\) −2.28662e6 + 474632.i −0.261481 + 0.0542756i
\(599\) 9.97603e6i 1.13603i 0.823018 + 0.568016i \(0.192289\pi\)
−0.823018 + 0.568016i \(0.807711\pi\)
\(600\) −652162. 925217.i −0.0739567 0.104922i
\(601\) 2.29195e6i 0.258833i −0.991590 0.129416i \(-0.958690\pi\)
0.991590 0.129416i \(-0.0413104\pi\)
\(602\) 3.40890e6 + 1.64229e7i 0.383374 + 1.84697i
\(603\) 3.97075e6 + 3.97075e6i 0.444712 + 0.444712i
\(604\) 1.09079e7 4.73219e6i 1.21660 0.527800i
\(605\) −3.30756e6 + 3.30756e6i −0.367383 + 0.367383i
\(606\) 3.22978e6 4.92180e6i 0.357266 0.544431i
\(607\) 171857. 0.0189320 0.00946599 0.999955i \(-0.496987\pi\)
0.00946599 + 0.999955i \(0.496987\pi\)
\(608\) −1.34760e7 8.21554e6i −1.47843 0.901316i
\(609\) 2.97579e6 0.325131
\(610\) 1.21843e6 1.85674e6i 0.132579 0.202035i
\(611\) 4.27838e6 4.27838e6i 0.463636 0.463636i
\(612\) 2.02881e6 880159.i 0.218958 0.0949910i
\(613\) 5.01640e6 + 5.01640e6i 0.539189 + 0.539189i 0.923291 0.384101i \(-0.125489\pi\)
−0.384101 + 0.923291i \(0.625489\pi\)
\(614\) −903456. 4.35254e6i −0.0967133 0.465932i
\(615\) 1.30510e6i 0.139141i
\(616\) 1.89422e7 1.33519e7i 2.01131 1.41772i
\(617\) 8.21136e6i 0.868365i −0.900825 0.434183i \(-0.857037\pi\)
0.900825 0.434183i \(-0.142963\pi\)
\(618\) 531975. 110422.i 0.0560300 0.0116301i
\(619\) −1.08462e6 1.08462e6i −0.113776 0.113776i 0.647927 0.761703i \(-0.275636\pi\)
−0.761703 + 0.647927i \(0.775636\pi\)
\(620\) −1.78049e6 + 4.50911e6i −0.186020 + 0.471098i
\(621\) −1.61372e6 + 1.61372e6i −0.167918 + 0.167918i
\(622\) 7.48916e6 + 4.91453e6i 0.776170 + 0.509338i
\(623\) −5.31259e6 −0.548385
\(624\) 5.22539e6 + 4.88891e6i 0.537226 + 0.502632i
\(625\) −390625. −0.0400000
\(626\) −1.21996e7 8.00558e6i −1.24425 0.816501i
\(627\) 1.13739e7 1.13739e7i 1.15542 1.15542i
\(628\) 3.03958e6 + 1.20022e6i 0.307549 + 0.121440i
\(629\) −2.08820e6 2.08820e6i −0.210448 0.210448i
\(630\) 4.29319e6 891137.i 0.430952 0.0894526i
\(631\) 4.34749e6i 0.434675i 0.976097 + 0.217338i \(0.0697372\pi\)
−0.976097 + 0.217338i \(0.930263\pi\)
\(632\) −1.19782e7 2.07351e6i −1.19289 0.206497i
\(633\) 3.09771e6i 0.307278i
\(634\) −2.87313e6 1.38418e7i −0.283878 1.36763i
\(635\) −1.47560e6 1.47560e6i −0.145223 0.145223i
\(636\) 4.18389e6 + 9.64405e6i 0.410145 + 0.945402i
\(637\) 1.49500e7 1.49500e7i 1.45980 1.45980i
\(638\) −2.51023e6 + 3.82529e6i −0.244153 + 0.372060i
\(639\) −478203. −0.0463297
\(640\) −4.58994e6 638178.i −0.442953 0.0615874i
\(641\) 1.39023e7 1.33642 0.668210 0.743973i \(-0.267061\pi\)
0.668210 + 0.743973i \(0.267061\pi\)
\(642\) −3.78629e6 + 5.76986e6i −0.362557 + 0.552494i
\(643\) −5.23219e6 + 5.23219e6i −0.499064 + 0.499064i −0.911146 0.412083i \(-0.864802\pi\)
0.412083 + 0.911146i \(0.364802\pi\)
\(644\) −1.63334e6 3.76493e6i −0.155190 0.357719i
\(645\) 2.41702e6 + 2.41702e6i 0.228760 + 0.228760i
\(646\) 1.51498e6 + 7.29868e6i 0.142832 + 0.688118i
\(647\) 1.42846e7i 1.34155i 0.741660 + 0.670776i \(0.234039\pi\)
−0.741660 + 0.670776i \(0.765961\pi\)
\(648\) 696789. + 120619.i 0.0651875 + 0.0112844i
\(649\) 2.14002e7i 1.99437i
\(650\) 2.41784e6 501871.i 0.224463 0.0465917i
\(651\) 9.30218e6 + 9.30218e6i 0.860265 + 0.860265i
\(652\) 5.02931e6 + 1.98589e6i 0.463329 + 0.182952i
\(653\) 6.93663e6 6.93663e6i 0.636599 0.636599i −0.313116 0.949715i \(-0.601373\pi\)
0.949715 + 0.313116i \(0.101373\pi\)
\(654\) 2.88655e6 + 1.89421e6i 0.263897 + 0.173174i
\(655\) 7.75983e6 0.706722
\(656\) 3.90152e6 + 3.65029e6i 0.353976 + 0.331183i
\(657\) −6.76763e6 −0.611679
\(658\) 8.88960e6 + 5.83353e6i 0.800419 + 0.525250i
\(659\) 5.47791e6 5.47791e6i 0.491362 0.491362i −0.417373 0.908735i \(-0.637049\pi\)
0.908735 + 0.417373i \(0.137049\pi\)
\(660\) 1.73456e6 4.39279e6i 0.154999 0.392537i
\(661\) −9.64841e6 9.64841e6i −0.858919 0.858919i 0.132292 0.991211i \(-0.457766\pi\)
−0.991211 + 0.132292i \(0.957766\pi\)
\(662\) −1.12120e7 + 2.32727e6i −0.994346 + 0.206396i
\(663\) 3.37972e6i 0.298605i
\(664\) −1.37219e7 + 9.67224e6i −1.20780 + 0.851347i
\(665\) 1.47794e7i 1.29600i
\(666\) 1.00314e6 + 4.83280e6i 0.0876349 + 0.422195i
\(667\) 572923. + 572923.i 0.0498633 + 0.0498633i
\(668\) 1.83715e7 7.97014e6i 1.59296 0.691074i
\(669\) −2.52653e6 + 2.52653e6i −0.218253 + 0.218253i
\(670\) −3.04910e6 + 4.64646e6i −0.262412 + 0.399885i
\(671\) 9.26583e6 0.794471
\(672\) −6.54579e6 + 1.07371e7i −0.559164 + 0.917200i
\(673\) −2.75569e6 −0.234527 −0.117263 0.993101i \(-0.537412\pi\)
−0.117263 + 0.993101i \(0.537412\pi\)
\(674\) 6.29681e6 9.59559e6i 0.533914 0.813621i
\(675\) 1.70633e6 1.70633e6i 0.144146 0.144146i
\(676\) −3.42104e6 + 1.48415e6i −0.287933 + 0.124914i
\(677\) −8.60481e6 8.60481e6i −0.721555 0.721555i 0.247367 0.968922i \(-0.420435\pi\)
−0.968922 + 0.247367i \(0.920435\pi\)
\(678\) 2.30226e6 + 1.10915e7i 0.192345 + 0.926651i
\(679\) 3.23344e7i 2.69147i
\(680\) 1.26098e6 + 1.78894e6i 0.104577 + 0.148362i
\(681\) 2.20353e6i 0.182075i
\(682\) −1.98046e7 + 4.11083e6i −1.63044 + 0.338429i
\(683\) −1.12745e7 1.12745e7i −0.924791 0.924791i 0.0725718 0.997363i \(-0.476879\pi\)
−0.997363 + 0.0725718i \(0.976879\pi\)
\(684\) 4.57574e6 1.15881e7i 0.373957 0.947050i
\(685\) 265802. 265802.i 0.0216437 0.0216437i
\(686\) 1.38162e7 + 9.06647e6i 1.12093 + 0.735577i
\(687\) 7.12165e6 0.575690
\(688\) 1.39858e7 465273.i 1.12646 0.0374746i
\(689\) −2.29330e7 −1.84040
\(690\) −699238. 458853.i −0.0559117 0.0366903i
\(691\) −9.22094e6 + 9.22094e6i −0.734649 + 0.734649i −0.971537 0.236888i \(-0.923873\pi\)
0.236888 + 0.971537i \(0.423873\pi\)
\(692\) −2.49786e6 986317.i −0.198291 0.0782981i
\(693\) 1.29359e7 + 1.29359e7i 1.02321 + 1.02321i
\(694\) −8.52320e6 + 1.76916e6i −0.671744 + 0.139434i
\(695\) 9.44450e6i 0.741680i
\(696\) 423469. 2.44629e6i 0.0331358 0.191419i
\(697\) 2.52346e6i 0.196750i
\(698\) 719597. + 3.46678e6i 0.0559050 + 0.269331i
\(699\) −2.92705e6 2.92705e6i −0.226588 0.226588i
\(700\) 1.72708e6 + 3.98100e6i 0.133219 + 0.307077i
\(701\) −5.60979e6 + 5.60979e6i −0.431173 + 0.431173i −0.889027 0.457854i \(-0.848618\pi\)
0.457854 + 0.889027i \(0.348618\pi\)
\(702\) −8.36934e6 + 1.27539e7i −0.640986 + 0.976787i
\(703\) −1.66370e7 −1.26966
\(704\) −8.28053e6 1.74717e7i −0.629689 1.32863i
\(705\) 2.16685e6 0.164194
\(706\) 10678.1 16272.2i 0.000806276 0.00122867i
\(707\) −1.59580e7 + 1.59580e7i −1.20068 + 1.20068i
\(708\) 4.62150e6 + 1.06528e7i 0.346497 + 0.798691i
\(709\) 1.25849e7 + 1.25849e7i 0.940230 + 0.940230i 0.998312 0.0580822i \(-0.0184986\pi\)
−0.0580822 + 0.998312i \(0.518499\pi\)
\(710\) −96186.4 463393.i −0.00716090 0.0344988i
\(711\) 9.59614e6i 0.711906i
\(712\) −756006. + 4.36728e6i −0.0558889 + 0.322858i
\(713\) 3.58186e6i 0.263867i
\(714\) 5.81528e6 1.20708e6i 0.426899 0.0886113i
\(715\) 7.28525e6 + 7.28525e6i 0.532941 + 0.532941i
\(716\) 1.89319e7 + 7.47555e6i 1.38011 + 0.544955i
\(717\) −3.87778e6 + 3.87778e6i −0.281699 + 0.281699i
\(718\) 9.78318e6 + 6.41991e6i 0.708221 + 0.464748i
\(719\) −1.54998e6 −0.111816 −0.0559081 0.998436i \(-0.517805\pi\)
−0.0559081 + 0.998436i \(0.517805\pi\)
\(720\) −121629. 3.65609e6i −0.00874394 0.262837i
\(721\) −2.08284e6 −0.149217
\(722\) 2.33994e7 + 1.53552e7i 1.67056 + 1.09625i
\(723\) 9.15185e6 9.15185e6i 0.651123 0.651123i
\(724\) −6.98692e6 + 1.76945e7i −0.495381 + 1.25456i
\(725\) −605802. 605802.i −0.0428042 0.0428042i
\(726\) 1.03687e7 2.15223e6i 0.730103 0.151547i
\(727\) 1.15490e7i 0.810417i 0.914224 + 0.405209i \(0.132801\pi\)
−0.914224 + 0.405209i \(0.867199\pi\)
\(728\) −1.58048e7 2.24222e7i −1.10525 1.56801i
\(729\) 9.94531e6i 0.693106i
\(730\) −1.36125e6 6.55805e6i −0.0945435 0.455478i
\(731\) −4.67339e6 4.67339e6i −0.323473 0.323473i
\(732\) −4.61242e6 + 2.00101e6i −0.318164 + 0.138030i
\(733\) −1.34420e7 + 1.34420e7i −0.924065 + 0.924065i −0.997314 0.0732488i \(-0.976663\pi\)
0.0732488 + 0.997314i \(0.476663\pi\)
\(734\) 5.61660e6 8.55904e6i 0.384799 0.586388i
\(735\) 7.57168e6 0.516980
\(736\) −3.32744e6 + 806944.i −0.226421 + 0.0549097i
\(737\) −2.31876e7 −1.57249
\(738\) −2.31395e6 + 3.52619e6i −0.156392 + 0.238322i
\(739\) 420136. 420136.i 0.0282995 0.0282995i −0.692815 0.721115i \(-0.743630\pi\)
0.721115 + 0.692815i \(0.243630\pi\)
\(740\) −4.48136e6 + 1.94415e6i −0.300837 + 0.130512i
\(741\) −1.34634e7 1.34634e7i −0.900762 0.900762i
\(742\) −8.19059e6 3.94595e7i −0.546142 2.63113i
\(743\) 2.23192e7i 1.48322i 0.670830 + 0.741611i \(0.265938\pi\)
−0.670830 + 0.741611i \(0.734062\pi\)
\(744\) 8.97073e6 6.32324e6i 0.594149 0.418801i
\(745\) 2.16779e6i 0.143096i
\(746\) −1.00520e7 + 2.08649e6i −0.661311 + 0.137268i
\(747\) −9.37090e6 9.37090e6i −0.614440 0.614440i
\(748\) −3.35382e6 + 8.49361e6i −0.219173 + 0.555058i
\(749\) 1.87076e7 1.87076e7i 1.21847 1.21847i
\(750\) 739367. + 485187.i 0.0479962 + 0.0314960i
\(751\) 3.07508e7 1.98956 0.994778 0.102063i \(-0.0325445\pi\)
0.994778 + 0.102063i \(0.0325445\pi\)
\(752\) 6.06056e6 6.47768e6i 0.390812 0.417710i
\(753\) −2.12508e6 −0.136580
\(754\) 4.52805e6 + 2.97139e6i 0.290057 + 0.190341i
\(755\) −6.56845e6 + 6.56845e6i −0.419368 + 0.419368i
\(756\) −2.49340e7 9.84555e6i −1.58667 0.626521i
\(757\) 1.81500e7 + 1.81500e7i 1.15116 + 1.15116i 0.986319 + 0.164846i \(0.0527126\pi\)
0.164846 + 0.986319i \(0.447287\pi\)
\(758\) −3.02992e6 + 628919.i −0.191539 + 0.0397578i
\(759\) 3.48947e6i 0.219864i
\(760\) 1.21496e7 + 2.10318e6i 0.763008 + 0.132082i
\(761\) 5.87201e6i 0.367557i −0.982968 0.183779i \(-0.941167\pi\)
0.982968 0.183779i \(-0.0588330\pi\)
\(762\) 960178. + 4.62581e6i 0.0599052 + 0.288603i