Properties

Label 80.6.l.a.21.20
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 21.20
Character \(\chi\) \(=\) 80.21
Dual form 80.6.l.a.61.20

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0219870 + 5.65681i) q^{2} +(9.88924 - 9.88924i) q^{3} +(-31.9990 - 0.248752i) q^{4} +(-17.6777 - 17.6777i) q^{5} +(55.7241 + 56.1590i) q^{6} +122.335i q^{7} +(2.11071 - 181.007i) q^{8} +47.4058i q^{9} +O(q^{10})\) \(q+(-0.0219870 + 5.65681i) q^{2} +(9.88924 - 9.88924i) q^{3} +(-31.9990 - 0.248752i) q^{4} +(-17.6777 - 17.6777i) q^{5} +(55.7241 + 56.1590i) q^{6} +122.335i q^{7} +(2.11071 - 181.007i) q^{8} +47.4058i q^{9} +(100.388 - 99.6106i) q^{10} +(-301.232 - 301.232i) q^{11} +(-318.906 + 313.986i) q^{12} +(-384.386 + 384.386i) q^{13} +(-692.028 - 2.68978i) q^{14} -349.637 q^{15} +(1023.88 + 15.9197i) q^{16} -1558.08 q^{17} +(-268.166 - 1.04231i) q^{18} +(-2096.85 + 2096.85i) q^{19} +(561.271 + 570.066i) q^{20} +(1209.80 + 1209.80i) q^{21} +(1710.63 - 1697.39i) q^{22} -4768.93i q^{23} +(-1769.15 - 1810.90i) q^{24} +625.000i q^{25} +(-2165.95 - 2182.85i) q^{26} +(2871.89 + 2871.89i) q^{27} +(30.4312 - 3914.61i) q^{28} +(-1907.21 + 1907.21i) q^{29} +(7.68747 - 1977.83i) q^{30} +1152.69 q^{31} +(-112.567 + 5791.52i) q^{32} -5957.91 q^{33} +(34.2576 - 8813.79i) q^{34} +(2162.60 - 2162.60i) q^{35} +(11.7923 - 1516.94i) q^{36} +(-7429.66 - 7429.66i) q^{37} +(-11815.4 - 11907.6i) q^{38} +7602.58i q^{39} +(-3237.09 + 3162.47i) q^{40} -4115.54i q^{41} +(-6870.23 + 6817.03i) q^{42} +(8400.86 + 8400.86i) q^{43} +(9564.19 + 9714.06i) q^{44} +(838.025 - 838.025i) q^{45} +(26976.9 + 104.854i) q^{46} -8941.71 q^{47} +(10282.8 - 9967.93i) q^{48} +1841.08 q^{49} +(-3535.51 - 13.7419i) q^{50} +(-15408.3 + 15408.3i) q^{51} +(12395.6 - 12204.4i) q^{52} +(24969.5 + 24969.5i) q^{53} +(-16308.9 + 16182.6i) q^{54} +10650.2i q^{55} +(22143.5 + 258.214i) q^{56} +41472.4i q^{57} +(-10746.8 - 10830.6i) q^{58} +(23257.6 + 23257.6i) q^{59} +(11188.1 + 86.9731i) q^{60} +(14305.9 - 14305.9i) q^{61} +(-25.3441 + 6520.54i) q^{62} -5799.41 q^{63} +(-32759.1 - 764.106i) q^{64} +13590.1 q^{65} +(130.996 - 33702.8i) q^{66} +(-38864.6 + 38864.6i) q^{67} +(49857.2 + 387.577i) q^{68} +(-47161.1 - 47161.1i) q^{69} +(12185.9 + 12281.0i) q^{70} -12843.7i q^{71} +(8580.79 + 100.060i) q^{72} -28584.7i q^{73} +(42191.5 - 41864.8i) q^{74} +(6180.78 + 6180.78i) q^{75} +(67618.6 - 66575.4i) q^{76} +(36851.3 - 36851.3i) q^{77} +(-43006.4 - 167.158i) q^{78} -50757.6 q^{79} +(-17818.3 - 18381.2i) q^{80} +45282.1 q^{81} +(23280.9 + 90.4884i) q^{82} +(-39493.3 + 39493.3i) q^{83} +(-38411.6 - 39013.5i) q^{84} +(27543.3 + 27543.3i) q^{85} +(-47706.8 + 47337.3i) q^{86} +37721.7i q^{87} +(-55160.9 + 53889.3i) q^{88} -97259.4i q^{89} +(4722.12 + 4758.97i) q^{90} +(-47024.0 - 47024.0i) q^{91} +(-1186.28 + 152601. i) q^{92} +(11399.2 - 11399.2i) q^{93} +(196.601 - 50581.6i) q^{94} +74134.7 q^{95} +(56160.6 + 58387.0i) q^{96} -46757.9 q^{97} +(-40.4798 + 10414.6i) q^{98} +(14280.1 - 14280.1i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0219870 + 5.65681i −0.00388679 + 0.999992i
\(3\) 9.88924 9.88924i 0.634395 0.634395i −0.314772 0.949167i \(-0.601928\pi\)
0.949167 + 0.314772i \(0.101928\pi\)
\(4\) −31.9990 0.248752i −0.999970 0.00777351i
\(5\) −17.6777 17.6777i −0.316228 0.316228i
\(6\) 55.7241 + 56.1590i 0.631925 + 0.636856i
\(7\) 122.335i 0.943641i 0.881695 + 0.471820i \(0.156403\pi\)
−0.881695 + 0.471820i \(0.843597\pi\)
\(8\) 2.11071 181.007i 0.0116601 0.999932i
\(9\) 47.4058i 0.195086i
\(10\) 100.388 99.6106i 0.317454 0.314996i
\(11\) −301.232 301.232i −0.750618 0.750618i 0.223976 0.974595i \(-0.428096\pi\)
−0.974595 + 0.223976i \(0.928096\pi\)
\(12\) −318.906 + 313.986i −0.639307 + 0.629444i
\(13\) −384.386 + 384.386i −0.630826 + 0.630826i −0.948275 0.317449i \(-0.897174\pi\)
0.317449 + 0.948275i \(0.397174\pi\)
\(14\) −692.028 2.68978i −0.943633 0.00366773i
\(15\) −349.637 −0.401227
\(16\) 1023.88 + 15.9197i 0.999879 + 0.0155466i
\(17\) −1558.08 −1.30758 −0.653791 0.756676i \(-0.726822\pi\)
−0.653791 + 0.756676i \(0.726822\pi\)
\(18\) −268.166 1.04231i −0.195084 0.000758256i
\(19\) −2096.85 + 2096.85i −1.33255 + 1.33255i −0.429462 + 0.903085i \(0.641297\pi\)
−0.903085 + 0.429462i \(0.858703\pi\)
\(20\) 561.271 + 570.066i 0.313760 + 0.318676i
\(21\) 1209.80 + 1209.80i 0.598641 + 0.598641i
\(22\) 1710.63 1697.39i 0.753530 0.747695i
\(23\) 4768.93i 1.87975i −0.341513 0.939877i \(-0.610939\pi\)
0.341513 0.939877i \(-0.389061\pi\)
\(24\) −1769.15 1810.90i −0.626955 0.641749i
\(25\) 625.000i 0.200000i
\(26\) −2165.95 2182.85i −0.628370 0.633273i
\(27\) 2871.89 + 2871.89i 0.758157 + 0.758157i
\(28\) 30.4312 3914.61i 0.00733540 0.943612i
\(29\) −1907.21 + 1907.21i −0.421117 + 0.421117i −0.885588 0.464471i \(-0.846244\pi\)
0.464471 + 0.885588i \(0.346244\pi\)
\(30\) 7.68747 1977.83i 0.00155948 0.401224i
\(31\) 1152.69 0.215431 0.107715 0.994182i \(-0.465646\pi\)
0.107715 + 0.994182i \(0.465646\pi\)
\(32\) −112.567 + 5791.52i −0.0194328 + 0.999811i
\(33\) −5957.91 −0.952377
\(34\) 34.2576 8813.79i 0.00508229 1.30757i
\(35\) 2162.60 2162.60i 0.298405 0.298405i
\(36\) 11.7923 1516.94i 0.00151650 0.195080i
\(37\) −7429.66 7429.66i −0.892205 0.892205i 0.102525 0.994730i \(-0.467308\pi\)
−0.994730 + 0.102525i \(0.967308\pi\)
\(38\) −11815.4 11907.6i −1.32736 1.33772i
\(39\) 7602.58i 0.800386i
\(40\) −3237.09 + 3162.47i −0.319894 + 0.312519i
\(41\) 4115.54i 0.382356i −0.981555 0.191178i \(-0.938769\pi\)
0.981555 0.191178i \(-0.0612307\pi\)
\(42\) −6870.23 + 6817.03i −0.600963 + 0.596310i
\(43\) 8400.86 + 8400.86i 0.692871 + 0.692871i 0.962863 0.269992i \(-0.0870210\pi\)
−0.269992 + 0.962863i \(0.587021\pi\)
\(44\) 9564.19 + 9714.06i 0.744761 + 0.756430i
\(45\) 838.025 838.025i 0.0616915 0.0616915i
\(46\) 26976.9 + 104.854i 1.87974 + 0.00730620i
\(47\) −8941.71 −0.590441 −0.295220 0.955429i \(-0.595393\pi\)
−0.295220 + 0.955429i \(0.595393\pi\)
\(48\) 10282.8 9967.93i 0.644181 0.624456i
\(49\) 1841.08 0.109543
\(50\) −3535.51 13.7419i −0.199998 0.000777357i
\(51\) −15408.3 + 15408.3i −0.829523 + 0.829523i
\(52\) 12395.6 12204.4i 0.635711 0.625903i
\(53\) 24969.5 + 24969.5i 1.22101 + 1.22101i 0.967273 + 0.253738i \(0.0816601\pi\)
0.253738 + 0.967273i \(0.418340\pi\)
\(54\) −16308.9 + 16182.6i −0.761098 + 0.755204i
\(55\) 10650.2i 0.474733i
\(56\) 22143.5 + 258.214i 0.943576 + 0.0110030i
\(57\) 41472.4i 1.69072i
\(58\) −10746.8 10830.6i −0.419477 0.422751i
\(59\) 23257.6 + 23257.6i 0.869831 + 0.869831i 0.992453 0.122622i \(-0.0391303\pi\)
−0.122622 + 0.992453i \(0.539130\pi\)
\(60\) 11188.1 + 86.9731i 0.401215 + 0.00311894i
\(61\) 14305.9 14305.9i 0.492257 0.492257i −0.416760 0.909017i \(-0.636834\pi\)
0.909017 + 0.416760i \(0.136834\pi\)
\(62\) −25.3441 + 6520.54i −0.000837333 + 0.215429i
\(63\) −5799.41 −0.184091
\(64\) −32759.1 764.106i −0.999728 0.0233187i
\(65\) 13590.1 0.398970
\(66\) 130.996 33702.8i 0.00370168 0.952370i
\(67\) −38864.6 + 38864.6i −1.05771 + 1.05771i −0.0594820 + 0.998229i \(0.518945\pi\)
−0.998229 + 0.0594820i \(0.981055\pi\)
\(68\) 49857.2 + 387.577i 1.30754 + 0.0101645i
\(69\) −47161.1 47161.1i −1.19251 1.19251i
\(70\) 12185.9 + 12281.0i 0.297243 + 0.299563i
\(71\) 12843.7i 0.302373i −0.988505 0.151187i \(-0.951691\pi\)
0.988505 0.151187i \(-0.0483094\pi\)
\(72\) 8580.79 + 100.060i 0.195073 + 0.00227472i
\(73\) 28584.7i 0.627807i −0.949455 0.313904i \(-0.898363\pi\)
0.949455 0.313904i \(-0.101637\pi\)
\(74\) 42191.5 41864.8i 0.895666 0.888731i
\(75\) 6180.78 + 6180.78i 0.126879 + 0.126879i
\(76\) 67618.6 66575.4i 1.34287 1.32215i
\(77\) 36851.3 36851.3i 0.708314 0.708314i
\(78\) −43006.4 167.158i −0.800380 0.00311093i
\(79\) −50757.6 −0.915025 −0.457513 0.889203i \(-0.651260\pi\)
−0.457513 + 0.889203i \(0.651260\pi\)
\(80\) −17818.3 18381.2i −0.311273 0.321106i
\(81\) 45282.1 0.766856
\(82\) 23280.9 + 90.4884i 0.382353 + 0.00148613i
\(83\) −39493.3 + 39493.3i −0.629257 + 0.629257i −0.947881 0.318624i \(-0.896779\pi\)
0.318624 + 0.947881i \(0.396779\pi\)
\(84\) −38411.6 39013.5i −0.593969 0.603276i
\(85\) 27543.3 + 27543.3i 0.413493 + 0.413493i
\(86\) −47706.8 + 47337.3i −0.695559 + 0.690173i
\(87\) 37721.7i 0.534309i
\(88\) −55160.9 + 53889.3i −0.759319 + 0.741815i
\(89\) 97259.4i 1.30154i −0.759276 0.650768i \(-0.774447\pi\)
0.759276 0.650768i \(-0.225553\pi\)
\(90\) 4722.12 + 4758.97i 0.0614513 + 0.0619309i
\(91\) −47024.0 47024.0i −0.595273 0.595273i
\(92\) −1186.28 + 152601.i −0.0146123 + 1.87970i
\(93\) 11399.2 11399.2i 0.136668 0.136668i
\(94\) 196.601 50581.6i 0.00229492 0.590436i
\(95\) 74134.7 0.842777
\(96\) 56160.6 + 58387.0i 0.621947 + 0.646603i
\(97\) −46757.9 −0.504575 −0.252287 0.967652i \(-0.581183\pi\)
−0.252287 + 0.967652i \(0.581183\pi\)
\(98\) −40.4798 + 10414.6i −0.000425768 + 0.109542i
\(99\) 14280.1 14280.1i 0.146435 0.146435i
\(100\) 155.470 19999.4i 0.00155470 0.199994i
\(101\) −62869.3 62869.3i −0.613247 0.613247i 0.330544 0.943791i \(-0.392768\pi\)
−0.943791 + 0.330544i \(0.892768\pi\)
\(102\) −86822.9 87500.5i −0.826293 0.832741i
\(103\) 8850.12i 0.0821971i 0.999155 + 0.0410985i \(0.0130858\pi\)
−0.999155 + 0.0410985i \(0.986914\pi\)
\(104\) 68765.3 + 70388.0i 0.623428 + 0.638139i
\(105\) 42773.0i 0.378614i
\(106\) −141797. + 140699.i −1.22575 + 1.21626i
\(107\) 119180. + 119180.i 1.00634 + 1.00634i 0.999980 + 0.00636140i \(0.00202491\pi\)
0.00636140 + 0.999980i \(0.497975\pi\)
\(108\) −91183.4 92612.2i −0.752240 0.764027i
\(109\) 118189. 118189.i 0.952819 0.952819i −0.0461173 0.998936i \(-0.514685\pi\)
0.998936 + 0.0461173i \(0.0146848\pi\)
\(110\) −60245.9 234.165i −0.474729 0.00184518i
\(111\) −146947. −1.13202
\(112\) −1947.54 + 125256.i −0.0146704 + 0.943526i
\(113\) 72392.2 0.533329 0.266665 0.963789i \(-0.414078\pi\)
0.266665 + 0.963789i \(0.414078\pi\)
\(114\) −234602. 911.853i −1.69071 0.00657147i
\(115\) −84303.5 + 84303.5i −0.594430 + 0.594430i
\(116\) 61503.2 60554.4i 0.424378 0.417831i
\(117\) −18222.2 18222.2i −0.123065 0.123065i
\(118\) −132075. + 131053.i −0.873206 + 0.866444i
\(119\) 190609.i 1.23389i
\(120\) −737.982 + 63286.8i −0.00467835 + 0.401199i
\(121\) 20430.2i 0.126855i
\(122\) 80611.4 + 81240.5i 0.490340 + 0.494166i
\(123\) −40699.6 40699.6i −0.242565 0.242565i
\(124\) −36884.9 286.734i −0.215424 0.00167465i
\(125\) 11048.5 11048.5i 0.0632456 0.0632456i
\(126\) 127.511 32806.1i 0.000715522 0.184089i
\(127\) 122901. 0.676153 0.338076 0.941119i \(-0.390224\pi\)
0.338076 + 0.941119i \(0.390224\pi\)
\(128\) 5042.68 185295.i 0.0272042 0.999630i
\(129\) 166156. 0.879108
\(130\) −298.806 + 76876.7i −0.00155071 + 0.398967i
\(131\) −75109.1 + 75109.1i −0.382397 + 0.382397i −0.871965 0.489568i \(-0.837154\pi\)
0.489568 + 0.871965i \(0.337154\pi\)
\(132\) 190647. + 1482.04i 0.952348 + 0.00740331i
\(133\) −256518. 256518.i −1.25745 1.25745i
\(134\) −218995. 220704.i −1.05359 1.06181i
\(135\) 101537.i 0.479500i
\(136\) −3288.66 + 282024.i −0.0152466 + 1.30749i
\(137\) 73685.1i 0.335412i −0.985837 0.167706i \(-0.946364\pi\)
0.985837 0.167706i \(-0.0536359\pi\)
\(138\) 267818. 265744.i 1.19713 1.18786i
\(139\) 18908.2 + 18908.2i 0.0830067 + 0.0830067i 0.747391 0.664384i \(-0.231306\pi\)
−0.664384 + 0.747391i \(0.731306\pi\)
\(140\) −69739.1 + 68663.2i −0.300716 + 0.296077i
\(141\) −88426.8 + 88426.8i −0.374573 + 0.374573i
\(142\) 72654.2 + 282.393i 0.302371 + 0.00117526i
\(143\) 231579. 0.947019
\(144\) −754.685 + 48537.7i −0.00303291 + 0.195062i
\(145\) 67430.0 0.266338
\(146\) 161698. + 628.491i 0.627803 + 0.00244015i
\(147\) 18206.9 18206.9i 0.0694932 0.0694932i
\(148\) 235894. + 239590.i 0.885243 + 0.899114i
\(149\) −147704. 147704.i −0.545039 0.545039i 0.379963 0.925002i \(-0.375937\pi\)
−0.925002 + 0.379963i \(0.875937\pi\)
\(150\) −35099.4 + 34827.6i −0.127371 + 0.126385i
\(151\) 86096.9i 0.307288i 0.988126 + 0.153644i \(0.0491008\pi\)
−0.988126 + 0.153644i \(0.950899\pi\)
\(152\) 375118. + 383970.i 1.31692 + 1.34799i
\(153\) 73862.3i 0.255090i
\(154\) 207650. + 209271.i 0.705555 + 0.711061i
\(155\) −20376.8 20376.8i −0.0681251 0.0681251i
\(156\) 1891.16 243275.i 0.00622181 0.800362i
\(157\) −141259. + 141259.i −0.457370 + 0.457370i −0.897791 0.440421i \(-0.854829\pi\)
0.440421 + 0.897791i \(0.354829\pi\)
\(158\) 1116.01 287126.i 0.00355651 0.915018i
\(159\) 493858. 1.54921
\(160\) 104371. 100391.i 0.322313 0.310023i
\(161\) 583408. 1.77381
\(162\) −995.616 + 256152.i −0.00298060 + 0.766850i
\(163\) −283813. + 283813.i −0.836687 + 0.836687i −0.988421 0.151734i \(-0.951514\pi\)
0.151734 + 0.988421i \(0.451514\pi\)
\(164\) −1023.75 + 131693.i −0.00297225 + 0.382344i
\(165\) 105322. + 105322.i 0.301168 + 0.301168i
\(166\) −222538. 224274.i −0.626806 0.631698i
\(167\) 15467.8i 0.0429178i −0.999770 0.0214589i \(-0.993169\pi\)
0.999770 0.0214589i \(-0.00683110\pi\)
\(168\) 221536. 216429.i 0.605580 0.591620i
\(169\) 75787.0i 0.204117i
\(170\) −156413. + 155202.i −0.415097 + 0.411883i
\(171\) −99402.7 99402.7i −0.259961 0.259961i
\(172\) −266730. 270909.i −0.687464 0.698236i
\(173\) −433381. + 433381.i −1.10092 + 1.10092i −0.106617 + 0.994300i \(0.534002\pi\)
−0.994300 + 0.106617i \(0.965998\pi\)
\(174\) −213384. 829.386i −0.534305 0.00207675i
\(175\) −76459.5 −0.188728
\(176\) −303629. 313220.i −0.738858 0.762197i
\(177\) 460000. 1.10363
\(178\) 550178. + 2138.44i 1.30153 + 0.00505879i
\(179\) 197142. 197142.i 0.459883 0.459883i −0.438734 0.898617i \(-0.644573\pi\)
0.898617 + 0.438734i \(0.144573\pi\)
\(180\) −27024.4 + 26607.5i −0.0621692 + 0.0612101i
\(181\) −86411.6 86411.6i −0.196054 0.196054i 0.602252 0.798306i \(-0.294270\pi\)
−0.798306 + 0.602252i \(0.794270\pi\)
\(182\) 267040. 264972.i 0.597582 0.592955i
\(183\) 282950.i 0.624570i
\(184\) −863209. 10065.8i −1.87963 0.0219182i
\(185\) 262678.i 0.564280i
\(186\) 64232.5 + 64733.8i 0.136136 + 0.137198i
\(187\) 469344. + 469344.i 0.981494 + 0.981494i
\(188\) 286126. + 2224.27i 0.590423 + 0.00458980i
\(189\) −351334. + 351334.i −0.715427 + 0.715427i
\(190\) −1630.00 + 419366.i −0.00327569 + 0.842770i
\(191\) −697785. −1.38401 −0.692003 0.721895i \(-0.743271\pi\)
−0.692003 + 0.721895i \(0.743271\pi\)
\(192\) −331519. + 316406.i −0.649016 + 0.619429i
\(193\) −573139. −1.10756 −0.553779 0.832663i \(-0.686815\pi\)
−0.553779 + 0.832663i \(0.686815\pi\)
\(194\) 1028.06 264501.i 0.00196117 0.504571i
\(195\) 134396. 134396.i 0.253104 0.253104i
\(196\) −58912.8 457.973i −0.109539 0.000851530i
\(197\) −259965. 259965.i −0.477254 0.477254i 0.426999 0.904252i \(-0.359571\pi\)
−0.904252 + 0.426999i \(0.859571\pi\)
\(198\) 80466.1 + 81094.1i 0.145865 + 0.147003i
\(199\) 80858.1i 0.144741i 0.997378 + 0.0723704i \(0.0230564\pi\)
−0.997378 + 0.0723704i \(0.976944\pi\)
\(200\) 113129. + 1319.19i 0.199986 + 0.00233202i
\(201\) 768683.i 1.34201i
\(202\) 357022. 354258.i 0.615626 0.610859i
\(203\) −233319. 233319.i −0.397383 0.397383i
\(204\) 496883. 489217.i 0.835946 0.823050i
\(205\) −72753.2 + 72753.2i −0.120912 + 0.120912i
\(206\) −50063.5 194.587i −0.0821964 0.000319482i
\(207\) 226075. 0.366713
\(208\) −399684. + 387445.i −0.640557 + 0.620943i
\(209\) 1.26327e6 2.00047
\(210\) 241959. + 940.449i 0.378611 + 0.00147159i
\(211\) −520212. + 520212.i −0.804404 + 0.804404i −0.983780 0.179377i \(-0.942592\pi\)
0.179377 + 0.983780i \(0.442592\pi\)
\(212\) −792788. 805210.i −1.21148 1.23047i
\(213\) −127014. 127014.i −0.191824 0.191824i
\(214\) −676801. + 671560.i −1.01024 + 1.00242i
\(215\) 297015.i 0.438210i
\(216\) 525895. 513771.i 0.766945 0.749265i
\(217\) 141014.i 0.203289i
\(218\) 665973. + 671171.i 0.949108 + 0.956515i
\(219\) −282681. 282681.i −0.398278 0.398278i
\(220\) 2649.25 340795.i 0.00369034 0.474718i
\(221\) 598907. 598907.i 0.824856 0.824856i
\(222\) 3230.93 831254.i 0.00439992 1.13201i
\(223\) −126355. −0.170150 −0.0850749 0.996375i \(-0.527113\pi\)
−0.0850749 + 0.996375i \(0.527113\pi\)
\(224\) −708508. 13770.9i −0.943462 0.0183375i
\(225\) −29628.7 −0.0390172
\(226\) −1591.69 + 409509.i −0.00207294 + 0.533325i
\(227\) −918677. + 918677.i −1.18331 + 1.18331i −0.204427 + 0.978882i \(0.565533\pi\)
−0.978882 + 0.204427i \(0.934467\pi\)
\(228\) 10316.4 1.32708e6i 0.0131428 1.69067i
\(229\) −347876. 347876.i −0.438365 0.438365i 0.453097 0.891461i \(-0.350319\pi\)
−0.891461 + 0.453097i \(0.850319\pi\)
\(230\) −475035. 478743.i −0.592116 0.596736i
\(231\) 728862.i 0.898702i
\(232\) 341192. + 349244.i 0.416178 + 0.425999i
\(233\) 728178.i 0.878714i 0.898313 + 0.439357i \(0.144794\pi\)
−0.898313 + 0.439357i \(0.855206\pi\)
\(234\) 103480. 102679.i 0.123543 0.122586i
\(235\) 158069. + 158069.i 0.186714 + 0.186714i
\(236\) −738436. 750007.i −0.863044 0.876567i
\(237\) −501954. + 501954.i −0.580488 + 0.580488i
\(238\) 1.07824e6 + 4190.91i 1.23388 + 0.00479585i
\(239\) 203434. 0.230372 0.115186 0.993344i \(-0.463254\pi\)
0.115186 + 0.993344i \(0.463254\pi\)
\(240\) −357985. 5566.11i −0.401178 0.00623769i
\(241\) −131370. −0.145698 −0.0728490 0.997343i \(-0.523209\pi\)
−0.0728490 + 0.997343i \(0.523209\pi\)
\(242\) −115570. 449.198i −0.126854 0.000493059i
\(243\) −250065. + 250065.i −0.271667 + 0.271667i
\(244\) −461335. + 454217.i −0.496068 + 0.488415i
\(245\) −32546.0 32546.0i −0.0346404 0.0346404i
\(246\) 231125. 229335.i 0.243506 0.241620i
\(247\) 1.61200e6i 1.68121i
\(248\) 2432.99 208645.i 0.00251195 0.215416i
\(249\) 781117.i 0.798395i
\(250\) 62256.6 + 62742.5i 0.0629993 + 0.0634909i
\(251\) 487551. + 487551.i 0.488467 + 0.488467i 0.907822 0.419355i \(-0.137744\pi\)
−0.419355 + 0.907822i \(0.637744\pi\)
\(252\) 185575. + 1442.62i 0.184085 + 0.00143103i
\(253\) −1.43655e6 + 1.43655e6i −1.41098 + 1.41098i
\(254\) −2702.21 + 695226.i −0.00262806 + 0.676148i
\(255\) 544765. 0.524636
\(256\) 1.04807e6 + 32599.5i 0.999517 + 0.0310893i
\(257\) −1.90822e6 −1.80217 −0.901084 0.433645i \(-0.857227\pi\)
−0.901084 + 0.433645i \(0.857227\pi\)
\(258\) −3653.27 + 939914.i −0.00341690 + 0.879101i
\(259\) 908910. 908910.i 0.841921 0.841921i
\(260\) −434871. 3380.57i −0.398957 0.00310139i
\(261\) −90412.8 90412.8i −0.0821540 0.0821540i
\(262\) −423226. 426529.i −0.380908 0.383880i
\(263\) 484503.i 0.431924i −0.976402 0.215962i \(-0.930711\pi\)
0.976402 0.215962i \(-0.0692887\pi\)
\(264\) −12575.4 + 1.07842e6i −0.0111048 + 0.952312i
\(265\) 882804.i 0.772235i
\(266\) 1.45672e6 1.44543e6i 1.26232 1.25255i
\(267\) −961821. 961821.i −0.825689 0.825689i
\(268\) 1.25330e6 1.23396e6i 1.06590 1.04946i
\(269\) 986492. 986492.i 0.831214 0.831214i −0.156469 0.987683i \(-0.550011\pi\)
0.987683 + 0.156469i \(0.0500110\pi\)
\(270\) 574374. + 2232.49i 0.479497 + 0.00186371i
\(271\) 1.22694e6 1.01484 0.507422 0.861698i \(-0.330599\pi\)
0.507422 + 0.861698i \(0.330599\pi\)
\(272\) −1.59529e6 24804.2i −1.30742 0.0203284i
\(273\) −930064. −0.755277
\(274\) 416823. + 1620.11i 0.335409 + 0.00130367i
\(275\) 188270. 188270.i 0.150124 0.150124i
\(276\) 1.49738e6 + 1.52084e6i 1.18320 + 1.20174i
\(277\) 1.69007e6 + 1.69007e6i 1.32344 + 1.32344i 0.910970 + 0.412473i \(0.135335\pi\)
0.412473 + 0.910970i \(0.364665\pi\)
\(278\) −107376. + 106544.i −0.0833287 + 0.0826834i
\(279\) 54644.1i 0.0420275i
\(280\) −386882. 396011.i −0.294906 0.301864i
\(281\) 1.34620e6i 1.01705i 0.861046 + 0.508527i \(0.169810\pi\)
−0.861046 + 0.508527i \(0.830190\pi\)
\(282\) −498269. 502158.i −0.373114 0.376026i
\(283\) 944602. + 944602.i 0.701104 + 0.701104i 0.964648 0.263543i \(-0.0848912\pi\)
−0.263543 + 0.964648i \(0.584891\pi\)
\(284\) −3194.89 + 410985.i −0.00235050 + 0.302364i
\(285\) 733136. 733136.i 0.534653 0.534653i
\(286\) −5091.72 + 1.31000e6i −0.00368086 + 0.947012i
\(287\) 503476. 0.360806
\(288\) −274552. 5336.31i −0.195049 0.00379105i
\(289\) 1.00777e6 0.709768
\(290\) −1482.58 + 381439.i −0.00103520 + 0.266336i
\(291\) −462400. + 462400.i −0.320100 + 0.320100i
\(292\) −7110.51 + 914683.i −0.00488027 + 0.627788i
\(293\) −838880. 838880.i −0.570862 0.570862i 0.361508 0.932369i \(-0.382262\pi\)
−0.932369 + 0.361508i \(0.882262\pi\)
\(294\) 102593. + 103393.i 0.0692226 + 0.0697628i
\(295\) 822281.i 0.550130i
\(296\) −1.36050e6 + 1.32914e6i −0.902548 + 0.881741i
\(297\) 1.73021e6i 1.13817i
\(298\) 838783. 832288.i 0.547153 0.542916i
\(299\) 1.83311e6 + 1.83311e6i 1.18580 + 1.18580i
\(300\) −196241. 199316.i −0.125889 0.127861i
\(301\) −1.02772e6 + 1.02772e6i −0.653821 + 0.653821i
\(302\) −487034. 1893.01i −0.307285 0.00119436i
\(303\) −1.24346e6 −0.778082
\(304\) −2.18029e6 + 2.11353e6i −1.35310 + 1.31167i
\(305\) −505791. −0.311330
\(306\) 417825. + 1624.01i 0.255089 + 0.000991482i
\(307\) −521897. + 521897.i −0.316038 + 0.316038i −0.847243 0.531205i \(-0.821739\pi\)
0.531205 + 0.847243i \(0.321739\pi\)
\(308\) −1.18837e6 + 1.17004e6i −0.713798 + 0.702786i
\(309\) 87521.0 + 87521.0i 0.0521454 + 0.0521454i
\(310\) 115716. 114820.i 0.0683894 0.0678598i
\(311\) 1.29428e6i 0.758798i −0.925233 0.379399i \(-0.876131\pi\)
0.925233 0.379399i \(-0.123869\pi\)
\(312\) 1.37612e6 + 16046.8i 0.800332 + 0.00933260i
\(313\) 2.45861e6i 1.41850i 0.704957 + 0.709251i \(0.250966\pi\)
−0.704957 + 0.709251i \(0.749034\pi\)
\(314\) −795970. 802182.i −0.455589 0.459144i
\(315\) 102520. + 102520.i 0.0582146 + 0.0582146i
\(316\) 1.62419e6 + 12626.1i 0.914998 + 0.00711296i
\(317\) 1.88035e6 1.88035e6i 1.05097 1.05097i 0.0523414 0.998629i \(-0.483332\pi\)
0.998629 0.0523414i \(-0.0166684\pi\)
\(318\) −10858.4 + 2.79366e6i −0.00602143 + 1.54920i
\(319\) 1.14902e6 0.632197
\(320\) 565597. + 592612.i 0.308768 + 0.323516i
\(321\) 2.35721e6 1.27684
\(322\) −12827.4 + 3.30023e6i −0.00689443 + 1.77380i
\(323\) 3.26706e6 3.26706e6i 1.74241 1.74241i
\(324\) −1.44898e6 11264.0i −0.766833 0.00596116i
\(325\) −240242. 240242.i −0.126165 0.126165i
\(326\) −1.59924e6 1.61172e6i −0.833429 0.839933i
\(327\) 2.33760e6i 1.20893i
\(328\) −744943. 8686.71i −0.382330 0.00445831i
\(329\) 1.09389e6i 0.557164i
\(330\) −598102. + 593471.i −0.302336 + 0.299995i
\(331\) −2.05885e6 2.05885e6i −1.03289 1.03289i −0.999440 0.0334519i \(-0.989350\pi\)
−0.0334519 0.999440i \(-0.510650\pi\)
\(332\) 1.27357e6 1.25392e6i 0.634129 0.624346i
\(333\) 352209. 352209.i 0.174057 0.174057i
\(334\) 87498.4 + 340.090i 0.0429175 + 0.000166812i
\(335\) 1.37407e6 0.668955
\(336\) 1.21943e6 + 1.25795e6i 0.589262 + 0.607875i
\(337\) −256497. −0.123029 −0.0615145 0.998106i \(-0.519593\pi\)
−0.0615145 + 0.998106i \(0.519593\pi\)
\(338\) −428713. 1666.33i −0.204115 0.000793357i
\(339\) 715904. 715904.i 0.338342 0.338342i
\(340\) −874507. 888210.i −0.410267 0.416695i
\(341\) −347226. 347226.i −0.161706 0.161706i
\(342\) 564488. 560117.i 0.260969 0.258949i
\(343\) 2.28132e6i 1.04701i
\(344\) 1.53835e6 1.50288e6i 0.700903 0.684745i
\(345\) 1.66740e6i 0.754207i
\(346\) −2.44203e6 2.46108e6i −1.09663 1.10519i
\(347\) −297841. 297841.i −0.132789 0.132789i 0.637589 0.770377i \(-0.279932\pi\)
−0.770377 + 0.637589i \(0.779932\pi\)
\(348\) 9383.36 1.20706e6i 0.00415346 0.534293i
\(349\) −1.06398e6 + 1.06398e6i −0.467597 + 0.467597i −0.901135 0.433538i \(-0.857265\pi\)
0.433538 + 0.901135i \(0.357265\pi\)
\(350\) 1681.11 432517.i 0.000733546 0.188727i
\(351\) −2.20783e6 −0.956530
\(352\) 1.77850e6 1.71068e6i 0.765063 0.735890i
\(353\) 2.71943e6 1.16156 0.580780 0.814060i \(-0.302748\pi\)
0.580780 + 0.814060i \(0.302748\pi\)
\(354\) −10114.0 + 2.60213e6i −0.00428959 + 1.10363i
\(355\) −227046. + 227046.i −0.0956187 + 0.0956187i
\(356\) −24193.5 + 3.11221e6i −0.0101175 + 1.30150i
\(357\) −1.88497e6 1.88497e6i −0.782771 0.782771i
\(358\) 1.11086e6 + 1.11953e6i 0.458092 + 0.461667i
\(359\) 1.93088e6i 0.790714i 0.918528 + 0.395357i \(0.129379\pi\)
−0.918528 + 0.395357i \(0.870621\pi\)
\(360\) −149920. 153457.i −0.0609680 0.0624067i
\(361\) 6.31742e6i 2.55136i
\(362\) 490714. 486914.i 0.196814 0.195290i
\(363\) 202039. + 202039.i 0.0804764 + 0.0804764i
\(364\) 1.49303e6 + 1.51642e6i 0.590628 + 0.599883i
\(365\) −505311. + 505311.i −0.198530 + 0.198530i
\(366\) 1.60059e6 + 6221.21i 0.624566 + 0.00242757i
\(367\) −4.26731e6 −1.65382 −0.826911 0.562332i \(-0.809904\pi\)
−0.826911 + 0.562332i \(0.809904\pi\)
\(368\) 75919.7 4.88279e6i 0.0292237 1.87953i
\(369\) 195101. 0.0745922
\(370\) −1.48592e6 5775.50i −0.564276 0.00219324i
\(371\) −3.05465e6 + 3.05465e6i −1.15220 + 1.15220i
\(372\) −367599. + 361928.i −0.137726 + 0.135602i
\(373\) −1.60230e6 1.60230e6i −0.596311 0.596311i 0.343018 0.939329i \(-0.388551\pi\)
−0.939329 + 0.343018i \(0.888551\pi\)
\(374\) −2.66531e6 + 2.64467e6i −0.985302 + 0.977672i
\(375\) 218523.i 0.0802453i
\(376\) −18873.3 + 1.61851e6i −0.00688461 + 0.590400i
\(377\) 1.46621e6i 0.531304i
\(378\) −1.97970e6 1.99515e6i −0.712641 0.718203i
\(379\) −1.32305e6 1.32305e6i −0.473127 0.473127i 0.429798 0.902925i \(-0.358585\pi\)
−0.902925 + 0.429798i \(0.858585\pi\)
\(380\) −2.37224e6 18441.2i −0.842751 0.00655133i
\(381\) 1.21539e6 1.21539e6i 0.428948 0.428948i
\(382\) 15342.2 3.94724e6i 0.00537933 1.38400i
\(383\) 2.69607e6 0.939149 0.469574 0.882893i \(-0.344407\pi\)
0.469574 + 0.882893i \(0.344407\pi\)
\(384\) −1.78256e6 1.88230e6i −0.616902 0.651419i
\(385\) −1.30289e6 −0.447977
\(386\) 12601.6 3.24214e6i 0.00430484 1.10755i
\(387\) −398250. + 398250.i −0.135169 + 0.135169i
\(388\) 1.49621e6 + 11631.1i 0.504560 + 0.00392232i
\(389\) 2.79493e6 + 2.79493e6i 0.936475 + 0.936475i 0.998099 0.0616242i \(-0.0196280\pi\)
−0.0616242 + 0.998099i \(0.519628\pi\)
\(390\) 757297. + 763207.i 0.252119 + 0.254086i
\(391\) 7.43039e6i 2.45793i
\(392\) 3885.98 333249.i 0.00127728 0.109535i
\(393\) 1.48554e6i 0.485181i
\(394\) 1.47629e6 1.46486e6i 0.479105 0.475395i
\(395\) 897276. + 897276.i 0.289356 + 0.289356i
\(396\) −460503. + 453399.i −0.147569 + 0.145292i
\(397\) 2.49038e6 2.49038e6i 0.793030 0.793030i −0.188956 0.981986i \(-0.560510\pi\)
0.981986 + 0.188956i \(0.0605103\pi\)
\(398\) −457399. 1777.83i −0.144740 0.000562576i
\(399\) −5.07354e6 −1.59543
\(400\) −9949.79 + 639923.i −0.00310931 + 0.199976i
\(401\) −4.48252e6 −1.39207 −0.696036 0.718007i \(-0.745054\pi\)
−0.696036 + 0.718007i \(0.745054\pi\)
\(402\) −4.34829e6 16901.0i −1.34200 0.00521612i
\(403\) −443078. + 443078.i −0.135899 + 0.135899i
\(404\) 1.99612e6 + 2.02740e6i 0.608461 + 0.617995i
\(405\) −800481. 800481.i −0.242501 0.242501i
\(406\) 1.32497e6 1.31471e6i 0.398925 0.395836i
\(407\) 4.47610e6i 1.33941i
\(408\) 2.75648e6 + 2.82153e6i 0.819794 + 0.839139i
\(409\) 2.36608e6i 0.699393i −0.936863 0.349696i \(-0.886285\pi\)
0.936863 0.349696i \(-0.113715\pi\)
\(410\) −409952. 413151.i −0.120441 0.121381i
\(411\) −728690. 728690.i −0.212784 0.212784i
\(412\) 2201.49 283195.i 0.000638960 0.0821946i
\(413\) −2.84523e6 + 2.84523e6i −0.820808 + 0.820808i
\(414\) −4970.71 + 1.27886e6i −0.00142534 + 0.366711i
\(415\) 1.39630e6 0.397977
\(416\) −2.18291e6 2.26945e6i −0.618448 0.642966i
\(417\) 373975. 0.105318
\(418\) −27775.6 + 7.14610e6i −0.00777539 + 2.00045i
\(419\) −1.04928e6 + 1.04928e6i −0.291983 + 0.291983i −0.837863 0.545880i \(-0.816195\pi\)
0.545880 + 0.837863i \(0.316195\pi\)
\(420\) −10639.9 + 1.36869e6i −0.00294316 + 0.378602i
\(421\) −83315.8 83315.8i −0.0229099 0.0229099i 0.695559 0.718469i \(-0.255157\pi\)
−0.718469 + 0.695559i \(0.755157\pi\)
\(422\) −2.93130e6 2.95418e6i −0.801271 0.807524i
\(423\) 423890.i 0.115187i
\(424\) 4.57235e6 4.46695e6i 1.23517 1.20669i
\(425\) 973803.i 0.261516i
\(426\) 721287. 715702.i 0.192568 0.191077i
\(427\) 1.75012e6 + 1.75012e6i 0.464513 + 0.464513i
\(428\) −3.78401e6 3.84330e6i −0.998488 1.01413i
\(429\) 2.29014e6 2.29014e6i 0.600784 0.600784i
\(430\) 1.68016e6 + 6530.46i 0.438207 + 0.00170323i
\(431\) 1.89615e6 0.491676 0.245838 0.969311i \(-0.420937\pi\)
0.245838 + 0.969311i \(0.420937\pi\)
\(432\) 2.89474e6 + 2.98618e6i 0.746278 + 0.769852i
\(433\) −6.49433e6 −1.66462 −0.832309 0.554312i \(-0.812982\pi\)
−0.832309 + 0.554312i \(0.812982\pi\)
\(434\) −797692. 3100.48i −0.203288 0.000790141i
\(435\) 666831. 666831.i 0.168963 0.168963i
\(436\) −3.81133e6 + 3.75253e6i −0.960197 + 0.945383i
\(437\) 9.99970e6 + 9.99970e6i 2.50486 + 2.50486i
\(438\) 1.60529e6 1.59286e6i 0.399823 0.396727i
\(439\) 2.58577e6i 0.640365i 0.947356 + 0.320183i \(0.103744\pi\)
−0.947356 + 0.320183i \(0.896256\pi\)
\(440\) 1.92775e6 + 22479.4i 0.474700 + 0.00553544i
\(441\) 87278.0i 0.0213702i
\(442\) 3.37473e6 + 3.40107e6i 0.821644 + 0.828056i
\(443\) −562901. 562901.i −0.136277 0.136277i 0.635678 0.771955i \(-0.280721\pi\)
−0.771955 + 0.635678i \(0.780721\pi\)
\(444\) 4.70217e6 + 36553.5i 1.13199 + 0.00879978i
\(445\) −1.71932e6 + 1.71932e6i −0.411582 + 0.411582i
\(446\) 2778.17 714768.i 0.000661335 0.170148i
\(447\) −2.92137e6 −0.691540
\(448\) 93477.1 4.00759e6i 0.0220044 0.943384i
\(449\) 6.62708e6 1.55134 0.775669 0.631141i \(-0.217413\pi\)
0.775669 + 0.631141i \(0.217413\pi\)
\(450\) 651.444 167604.i 0.000151651 0.0390169i
\(451\) −1.23973e6 + 1.23973e6i −0.287003 + 0.287003i
\(452\) −2.31648e6 18007.7i −0.533313 0.00414584i
\(453\) 851433. + 851433.i 0.194942 + 0.194942i
\(454\) −5.17658e6 5.21698e6i −1.17870 1.18790i
\(455\) 1.66255e6i 0.376484i
\(456\) 7.50680e6 + 87536.1i 1.69061 + 0.0197140i
\(457\) 2.47813e6i 0.555052i −0.960718 0.277526i \(-0.910485\pi\)
0.960718 0.277526i \(-0.0895145\pi\)
\(458\) 1.97552e6 1.96022e6i 0.440065 0.436658i
\(459\) −4.47465e6 4.47465e6i −0.991351 0.991351i
\(460\) 2.71860e6 2.67666e6i 0.599033 0.589792i
\(461\) 2.88325e6 2.88325e6i 0.631872 0.631872i −0.316665 0.948537i \(-0.602563\pi\)
0.948537 + 0.316665i \(0.102563\pi\)
\(462\) 4.12304e6 + 16025.5i 0.898695 + 0.00349306i
\(463\) 4.18992e6 0.908351 0.454175 0.890912i \(-0.349934\pi\)
0.454175 + 0.890912i \(0.349934\pi\)
\(464\) −1.98311e6 + 1.92238e6i −0.427613 + 0.414519i
\(465\) −403023. −0.0864365
\(466\) −4.11916e6 16010.4i −0.878707 0.00341537i
\(467\) −1.38927e6 + 1.38927e6i −0.294777 + 0.294777i −0.838964 0.544187i \(-0.816838\pi\)
0.544187 + 0.838964i \(0.316838\pi\)
\(468\) 578559. + 587624.i 0.122105 + 0.124018i
\(469\) −4.75451e6 4.75451e6i −0.998099 0.998099i
\(470\) −897640. + 890689.i −0.187438 + 0.185987i
\(471\) 2.79389e6i 0.580306i
\(472\) 4.25888e6 4.16070e6i 0.879915 0.859630i
\(473\) 5.06121e6i 1.04016i
\(474\) −2.82842e6 2.85049e6i −0.578227 0.582739i
\(475\) −1.31053e6 1.31053e6i −0.266509 0.266509i
\(476\) −47414.4 + 6.09929e6i −0.00959163 + 1.23385i
\(477\) −1.18370e6 + 1.18370e6i −0.238202 + 0.238202i
\(478\) −4472.90 + 1.15079e6i −0.000895405 + 0.230370i
\(479\) −3.01097e6 −0.599609 −0.299804 0.954001i \(-0.596921\pi\)
−0.299804 + 0.954001i \(0.596921\pi\)
\(480\) 39357.5 2.02493e6i 0.00779694 0.401151i
\(481\) 5.71172e6 1.12565
\(482\) 2888.43 743135.i 0.000566297 0.145697i
\(483\) 5.76946e6 5.76946e6i 1.12530 1.12530i
\(484\) 5082.05 653746.i 0.000986111 0.126851i
\(485\) 826570. + 826570.i 0.159561 + 0.159561i
\(486\) −1.40907e6 1.42007e6i −0.270609 0.272721i
\(487\) 1.73420e6i 0.331341i 0.986181 + 0.165671i \(0.0529789\pi\)
−0.986181 + 0.165671i \(0.947021\pi\)
\(488\) −2.55928e6 2.61967e6i −0.486483 0.497963i
\(489\) 5.61339e6i 1.06158i
\(490\) 184822. 183391.i 0.0347748 0.0345055i
\(491\) 2.65718e6 + 2.65718e6i 0.497414 + 0.497414i 0.910632 0.413218i \(-0.135595\pi\)
−0.413218 + 0.910632i \(0.635595\pi\)
\(492\) 1.29222e6 + 1.31247e6i 0.240672 + 0.244443i
\(493\) 2.97159e6 2.97159e6i 0.550645 0.550645i
\(494\) 9.11877e6 + 35443.0i 1.68120 + 0.00653451i
\(495\) −504879. −0.0926136
\(496\) 1.18021e6 + 18350.4i 0.215405 + 0.00334920i
\(497\) 1.57123e6 0.285331
\(498\) −4.41863e6 17174.4i −0.798389 0.00310319i
\(499\) 7.30951e6 7.30951e6i 1.31413 1.31413i 0.395781 0.918345i \(-0.370474\pi\)
0.918345 0.395781i \(-0.129526\pi\)
\(500\) −356291. + 350794.i −0.0637353 + 0.0627520i
\(501\) −152965. 152965.i −0.0272268 0.0272268i
\(502\) −2.76870e6 + 2.74726e6i −0.490362 + 0.486565i
\(503\) 5.49766e6i 0.968853i 0.874832 + 0.484426i \(0.160972\pi\)
−0.874832 + 0.484426i \(0.839028\pi\)
\(504\) −12240.8 + 1.04973e6i −0.00214652 + 0.184078i
\(505\) 2.22277e6i 0.387851i
\(506\) −8.09472e6 8.15789e6i −1.40548 1.41645i
\(507\) 749476. + 749476.i 0.129491 + 0.129491i
\(508\) −3.93270e6 30571.8i −0.676132 0.00525608i
\(509\) −2.60875e6 + 2.60875e6i −0.446311 + 0.446311i −0.894126 0.447815i \(-0.852202\pi\)
0.447815 + 0.894126i \(0.352202\pi\)
\(510\) −11977.7 + 3.08163e6i −0.00203915 + 0.524632i
\(511\) 3.49692e6 0.592424
\(512\) −207453. + 5.92801e6i −0.0349740 + 0.999388i
\(513\) −1.20438e7 −2.02056
\(514\) 41955.9 1.07944e7i 0.00700464 1.80215i
\(515\) 156450. 156450.i 0.0259930 0.0259930i
\(516\) −5.31684e6 41331.7i −0.879081 0.00683375i
\(517\) 2.69353e6 + 2.69353e6i 0.443195 + 0.443195i
\(518\) 5.12155e6 + 5.16151e6i 0.838642 + 0.845187i
\(519\) 8.57162e6i 1.39683i
\(520\) 28684.8 2.45991e6i 0.00465203 0.398942i
\(521\) 9.50774e6i 1.53456i 0.641314 + 0.767279i \(0.278390\pi\)
−0.641314 + 0.767279i \(0.721610\pi\)
\(522\) 513436. 509460.i 0.0824727 0.0818341i
\(523\) 2.12191e6 + 2.12191e6i 0.339213 + 0.339213i 0.856071 0.516858i \(-0.172898\pi\)
−0.516858 + 0.856071i \(0.672898\pi\)
\(524\) 2.42210e6 2.38473e6i 0.385358 0.379413i
\(525\) −756127. + 756127.i −0.119728 + 0.119728i
\(526\) 2.74074e6 + 10652.8i 0.431920 + 0.00167879i
\(527\) −1.79598e6 −0.281693
\(528\) −6.10016e6 94847.9i −0.952262 0.0148062i
\(529\) −1.63063e7 −2.53348
\(530\) 4.99386e6 + 19410.2i 0.772229 + 0.00300151i
\(531\) −1.10255e6 + 1.10255e6i −0.169692 + 0.169692i
\(532\) 8.14452e6 + 8.27214e6i 1.24763 + 1.26718i
\(533\) 1.58196e6 + 1.58196e6i 0.241200 + 0.241200i
\(534\) 5.46199e6 5.41969e6i 0.828892 0.822473i
\(535\) 4.21366e6i 0.636466i
\(536\) 6.95273e6 + 7.11680e6i 1.04531 + 1.06997i
\(537\) 3.89918e6i 0.583495i
\(538\) 5.55871e6 + 5.60209e6i 0.827977 + 0.834439i
\(539\) −554592. 554592.i −0.0822246 0.0822246i
\(540\) −25257.5 + 3.24908e6i −0.00372740 + 0.479486i
\(541\) 7.92767e6 7.92767e6i 1.16454 1.16454i 0.181064 0.983471i \(-0.442046\pi\)
0.983471 0.181064i \(-0.0579541\pi\)
\(542\) −26976.6 + 6.94055e6i −0.00394448 + 1.01484i
\(543\) −1.70909e6 −0.248751
\(544\) 175388. 9.02368e6i 0.0254099 1.30733i
\(545\) −4.17861e6 −0.602615
\(546\) 20449.3 5.26120e6i 0.00293560 0.755271i
\(547\) 2.38242e6 2.38242e6i 0.340447 0.340447i −0.516088 0.856535i \(-0.672612\pi\)
0.856535 + 0.516088i \(0.172612\pi\)
\(548\) −18329.3 + 2.35785e6i −0.00260733 + 0.335402i
\(549\) 678185. + 678185.i 0.0960323 + 0.0960323i
\(550\) 1.06087e6 + 1.06915e6i 0.149539 + 0.150706i
\(551\) 7.99824e6i 1.12232i
\(552\) −8.63603e6 + 8.43694e6i −1.20633 + 1.17852i
\(553\) 6.20944e6i 0.863455i
\(554\) −9.59757e6 + 9.52325e6i −1.32858 + 1.31829i
\(555\) 2.59769e6 + 2.59769e6i 0.357976 + 0.357976i
\(556\) −600341. 609747.i −0.0823589 0.0836494i
\(557\) −2.36995e6 + 2.36995e6i −0.323669 + 0.323669i −0.850173 0.526504i \(-0.823503\pi\)
0.526504 + 0.850173i \(0.323503\pi\)
\(558\) −309112. 1201.46i −0.0420271 0.000163352i
\(559\) −6.45835e6 −0.874162
\(560\) 2.24867e6 2.17981e6i 0.303008 0.293730i
\(561\) 9.28292e6 1.24531
\(562\) −7.61521e6 29598.9i −1.01705 0.00395307i
\(563\) 6.69440e6 6.69440e6i 0.890104 0.890104i −0.104429 0.994532i \(-0.533301\pi\)
0.994532 + 0.104429i \(0.0333014\pi\)
\(564\) 2.85157e6 2.80757e6i 0.377473 0.371650i
\(565\) −1.27973e6 1.27973e6i −0.168654 0.168654i
\(566\) −5.36420e6 + 5.32266e6i −0.703824 + 0.698374i
\(567\) 5.53959e6i 0.723636i
\(568\) −2.32479e6 27109.2i −0.302352 0.00352571i
\(569\) 6.90268e6i 0.893793i −0.894586 0.446897i \(-0.852529\pi\)
0.894586 0.446897i \(-0.147471\pi\)
\(570\) 4.13109e6 + 4.16333e6i 0.532571 + 0.536727i
\(571\) −6.09499e6 6.09499e6i −0.782317 0.782317i 0.197904 0.980221i \(-0.436586\pi\)
−0.980221 + 0.197904i \(0.936586\pi\)
\(572\) −7.41030e6 57605.8i −0.946991 0.00736167i
\(573\) −6.90056e6 + 6.90056e6i −0.878006 + 0.878006i
\(574\) −11069.9 + 2.84807e6i −0.00140238 + 0.360804i
\(575\) 2.98058e6 0.375951
\(576\) 36223.1 1.55297e6i 0.00454914 0.195033i
\(577\) −6.40682e6 −0.801130 −0.400565 0.916268i \(-0.631186\pi\)
−0.400565 + 0.916268i \(0.631186\pi\)
\(578\) −22157.8 + 5.70076e6i −0.00275872 + 0.709763i
\(579\) −5.66791e6 + 5.66791e6i −0.702630 + 0.702630i
\(580\) −2.15769e6 16773.4i −0.266330 0.00207038i
\(581\) −4.83142e6 4.83142e6i −0.593792 0.593792i
\(582\) −2.60554e6 2.62588e6i −0.318853 0.321341i
\(583\) 1.50432e7i 1.83303i
\(584\) −5.17403e6 60333.9i −0.627765 0.00732031i
\(585\) 644251.i 0.0778333i
\(586\) 4.76383e6 4.72694e6i 0.573076 0.568638i
\(587\) −3.17862e6 3.17862e6i −0.380754 0.380754i 0.490620 0.871374i \(-0.336770\pi\)
−0.871374 + 0.490620i \(0.836770\pi\)
\(588\) −587132. + 578074.i −0.0700313 + 0.0689509i
\(589\) −2.41701e6 + 2.41701e6i −0.287071 + 0.287071i
\(590\) 4.65149e6 + 18079.5i 0.550126 + 0.00213824i
\(591\) −5.14171e6 −0.605535
\(592\) −7.48878e6 7.72533e6i −0.878227 0.905968i
\(593\) 6.93794e6 0.810203 0.405102 0.914272i \(-0.367236\pi\)
0.405102 + 0.914272i \(0.367236\pi\)
\(594\) 9.78748e6 + 38042.1i 1.13816 + 0.00442383i
\(595\) −3.36952e6 + 3.36952e6i −0.390189 + 0.390189i
\(596\) 4.68965e6 + 4.76314e6i 0.540785 + 0.549259i
\(597\) 799625. + 799625.i 0.0918228 + 0.0918228i
\(598\) −1.04099e7 + 1.03293e7i −1.19040 + 1.18118i
\(599\) 1.29586e7i 1.47568i −0.674978 0.737838i \(-0.735847\pi\)
0.674978 0.737838i \(-0.264153\pi\)
\(600\) 1.13181e6 1.10572e6i 0.128350 0.125391i
\(601\) 3.22149e6i 0.363806i 0.983316 + 0.181903i \(0.0582257\pi\)
−0.983316 + 0.181903i \(0.941774\pi\)
\(602\) −5.79103e6 5.83622e6i −0.651275 0.656357i
\(603\) −1.84241e6 1.84241e6i −0.206344 0.206344i
\(604\) 21416.8 2.75502e6i 0.00238870 0.307278i
\(605\) 361158. 361158.i 0.0401152 0.0401152i
\(606\) 27339.9 7.03402e6i 0.00302424 0.778076i
\(607\) −2.77321e6 −0.305500 −0.152750 0.988265i \(-0.548813\pi\)
−0.152750 + 0.988265i \(0.548813\pi\)
\(608\) −1.19079e7 1.23800e7i −1.30640 1.35819i
\(609\) −4.61469e6 −0.504196
\(610\) 11120.8 2.86117e6i 0.00121007 0.311328i
\(611\) 3.43707e6 3.43707e6i 0.372465 0.372465i
\(612\) −18373.4 + 2.36352e6i −0.00198295 + 0.255083i
\(613\) 3.18104e6 + 3.18104e6i 0.341915 + 0.341915i 0.857087 0.515172i \(-0.172272\pi\)
−0.515172 + 0.857087i \(0.672272\pi\)
\(614\) −2.94080e6 2.96375e6i −0.314807 0.317264i
\(615\) 1.43895e6i 0.153411i
\(616\) −6.59256e6 6.74812e6i −0.700007 0.716525i
\(617\) 2.69222e6i 0.284707i −0.989816 0.142353i \(-0.954533\pi\)
0.989816 0.142353i \(-0.0454669\pi\)
\(618\) −497014. + 493165.i −0.0523477 + 0.0519423i
\(619\) 1.97397e6 + 1.97397e6i 0.207069 + 0.207069i 0.803020 0.595952i \(-0.203225\pi\)
−0.595952 + 0.803020i \(0.703225\pi\)
\(620\) 646970. + 657108.i 0.0675935 + 0.0686527i
\(621\) 1.36958e7 1.36958e7i 1.42515 1.42515i
\(622\) 7.32148e6 + 28457.2i 0.758792 + 0.00294928i
\(623\) 1.18983e7 1.22818
\(624\) −121031. + 7.78410e6i −0.0124432 + 0.800289i
\(625\) −390625. −0.0400000
\(626\) −1.39079e7 54057.5i −1.41849 0.00551341i
\(627\) 1.24928e7 1.24928e7i 1.26909 1.26909i
\(628\) 4.55529e6 4.48502e6i 0.460911 0.453801i
\(629\) 1.15760e7 + 1.15760e7i 1.16663 + 1.16663i
\(630\) −582190. + 577682.i −0.0584405 + 0.0579879i
\(631\) 7.74739e6i 0.774608i −0.921952 0.387304i \(-0.873406\pi\)
0.921952 0.387304i \(-0.126594\pi\)
\(632\) −107134. + 9.18748e6i −0.0106693 + 0.914963i
\(633\) 1.02890e7i 1.02062i
\(634\) 1.05954e7 + 1.06781e7i 1.04688 + 1.05505i
\(635\) −2.17260e6 2.17260e6i −0.213818 0.213818i
\(636\) −1.58030e7 122848.i −1.54916 0.0120428i
\(637\) −707687. + 707687.i −0.0691023 + 0.0691023i
\(638\) −25263.5 + 6.49981e6i −0.00245721 + 0.632192i
\(639\) 608865. 0.0589887
\(640\) −3.36473e6 + 3.18644e6i −0.324713 + 0.307508i
\(641\) 1.28304e7 1.23337 0.616687 0.787209i \(-0.288475\pi\)
0.616687 + 0.787209i \(0.288475\pi\)
\(642\) −51827.8 + 1.33343e7i −0.00496279 + 1.27683i
\(643\) 4.34386e6 4.34386e6i 0.414332 0.414332i −0.468912 0.883245i \(-0.655354\pi\)
0.883245 + 0.468912i \(0.155354\pi\)
\(644\) −1.86685e7 145124.i −1.77376 0.0137887i
\(645\) −2.93725e6 2.93725e6i −0.277998 0.277998i
\(646\) 1.84093e7 + 1.85530e7i 1.73563 + 1.74917i
\(647\) 4.82724e6i 0.453355i 0.973970 + 0.226678i \(0.0727863\pi\)
−0.973970 + 0.226678i \(0.927214\pi\)
\(648\) 95577.2 8.19637e6i 0.00894163 0.766804i
\(649\) 1.40119e7i 1.30582i
\(650\) 1.36428e6 1.35372e6i 0.126655 0.125674i
\(651\) 1.39453e6 + 1.39453e6i 0.128966 + 0.128966i
\(652\) 9.15234e6 9.01114e6i 0.843166 0.830158i
\(653\) 4.17503e6 4.17503e6i 0.383157 0.383157i −0.489081 0.872238i \(-0.662668\pi\)
0.872238 + 0.489081i \(0.162668\pi\)
\(654\) 1.32233e7 + 51396.7i 1.20892 + 0.00469884i
\(655\) 2.65551e6 0.241849
\(656\) 65518.1 4.21381e6i 0.00594431 0.382310i
\(657\) 1.35508e6 0.122476
\(658\) 6.18791e6 + 24051.3i 0.557159 + 0.00216558i
\(659\) −1.12655e7 + 1.12655e7i −1.01051 + 1.01051i −0.0105615 + 0.999944i \(0.503362\pi\)
−0.999944 + 0.0105615i \(0.996638\pi\)
\(660\) −3.34400e6 3.39640e6i −0.298818 0.303500i
\(661\) 6.22807e6 + 6.22807e6i 0.554434 + 0.554434i 0.927717 0.373284i \(-0.121768\pi\)
−0.373284 + 0.927717i \(0.621768\pi\)
\(662\) 1.16918e7 1.16013e7i 1.03690 1.02887i
\(663\) 1.18455e7i 1.04657i
\(664\) 7.06520e6 + 7.23192e6i 0.621877 + 0.636551i
\(665\) 9.06929e6i 0.795278i
\(666\) 1.98464e6 + 2.00013e6i 0.173379 + 0.174732i
\(667\) 9.09533e6 + 9.09533e6i 0.791597 + 0.791597i
\(668\) −3847.65 + 494955.i −0.000333622 + 0.0429165i
\(669\) −1.24956e6 + 1.24956e6i −0.107942 + 0.107942i
\(670\) −30211.7 + 7.77286e6i −0.00260009 + 0.668950i
\(671\) −8.61880e6 −0.738994
\(672\) −7.14279e6 + 6.87042e6i −0.610161 + 0.586895i
\(673\) −5.79021e6 −0.492784 −0.246392 0.969170i \(-0.579245\pi\)
−0.246392 + 0.969170i \(0.579245\pi\)
\(674\) 5639.59 1.45095e6i 0.000478187 0.123028i
\(675\) −1.79493e6 + 1.79493e6i −0.151631 + 0.151631i
\(676\) 18852.2 2.42511e6i 0.00158670 0.204110i
\(677\) −1.96617e6 1.96617e6i −0.164873 0.164873i 0.619849 0.784721i \(-0.287194\pi\)
−0.784721 + 0.619849i \(0.787194\pi\)
\(678\) 4.03399e6 + 4.06547e6i 0.337024 + 0.339654i
\(679\) 5.72014e6i 0.476137i
\(680\) 5.04367e6 4.92739e6i 0.418287 0.408644i
\(681\) 1.81700e7i 1.50137i
\(682\) 1.97183e6 1.95656e6i 0.162333 0.161076i
\(683\) −554999. 554999.i −0.0455240 0.0455240i 0.683978 0.729502i \(-0.260248\pi\)
−0.729502 + 0.683978i \(0.760248\pi\)
\(684\) 3.15606e6 + 3.20552e6i 0.257932 + 0.261974i
\(685\) −1.30258e6 + 1.30258e6i −0.106067 + 0.106067i
\(686\) −1.29050e7 50159.3i −1.04700 0.00406950i
\(687\) −6.88046e6 −0.556193
\(688\) 8.46770e6 + 8.73517e6i 0.682015 + 0.703559i
\(689\) −1.91959e7 −1.54049
\(690\) −9.43214e6 36661.0i −0.754202 0.00293144i
\(691\) −1.32042e7 + 1.32042e7i −1.05200 + 1.05200i −0.0534279 + 0.998572i \(0.517015\pi\)
−0.998572 + 0.0534279i \(0.982985\pi\)
\(692\) 1.39756e7 1.37600e7i 1.10944 1.09233i
\(693\) 1.74697e6 + 1.74697e6i 0.138182 + 0.138182i
\(694\) 1.69138e6 1.67828e6i 0.133304 0.132271i
\(695\) 668506.i 0.0524980i
\(696\) 6.82789e6 + 79619.4i 0.534273 + 0.00623011i
\(697\) 6.41236e6i 0.499961i
\(698\) −5.99536e6 6.04215e6i −0.465776 0.469411i
\(699\) 7.20112e6 + 7.20112e6i 0.557452 + 0.557452i
\(700\) 2.44663e6 + 19019.5i 0.188722 + 0.00146708i
\(701\) −1.03528e7 + 1.03528e7i −0.795723 + 0.795723i −0.982418 0.186695i \(-0.940222\pi\)
0.186695 + 0.982418i \(0.440222\pi\)
\(702\) 48543.6 1.24893e7i 0.00371783 0.956523i
\(703\) 3.11577e7 2.37781
\(704\) 9.63791e6 + 1.00983e7i 0.732911 + 0.767917i
\(705\) 3.12636e6 0.236900
\(706\) −59792.1 + 1.53833e7i −0.00451473 + 1.16155i
\(707\) 7.69114e6 7.69114e6i 0.578685 0.578685i
\(708\) −1.47196e7 114426.i −1.10360 0.00857911i
\(709\) −2.20601e6 2.20601e6i −0.164813 0.164813i 0.619882 0.784695i \(-0.287181\pi\)
−0.784695 + 0.619882i \(0.787181\pi\)
\(710\) −1.27936e6 1.28935e6i −0.0952464 0.0959897i
\(711\) 2.40621e6i 0.178508i
\(712\) −1.76046e7 205286.i −1.30145 0.0151761i
\(713\) 5.49708e6i 0.404957i
\(714\) 1.07044e7 1.06215e7i 0.785808 0.779723i
\(715\) −4.09377e6 4.09377e6i −0.299474 0.299474i
\(716\) −6.35741e6 + 6.25933e6i −0.463444 + 0.456294i
\(717\) 2.01181e6 2.01181e6i 0.146147 0.146147i
\(718\) −1.09226e7 42454.2i −0.790708 0.00307333i
\(719\) −7.60007e6 −0.548271 −0.274136 0.961691i \(-0.588392\pi\)
−0.274136 + 0.961691i \(0.588392\pi\)
\(720\) 871375. 844693.i 0.0626432 0.0607250i
\(721\) −1.08268e6 −0.0775645
\(722\) 3.57365e7 + 138901.i 2.55134 + 0.00991660i
\(723\) −1.29915e6 + 1.29915e6i −0.0924301 + 0.0924301i
\(724\) 2.74359e6 + 2.78658e6i 0.194524 + 0.197572i
\(725\) −1.19200e6 1.19200e6i −0.0842235 0.0842235i
\(726\) −1.14734e6 + 1.13845e6i −0.0807886 + 0.0801630i
\(727\) 1.18770e7i 0.833432i 0.909037 + 0.416716i \(0.136819\pi\)
−0.909037 + 0.416716i \(0.863181\pi\)
\(728\) −8.61093e6 + 8.41243e6i −0.602174 + 0.588292i
\(729\) 1.59494e7i 1.11154i
\(730\) −2.84734e6 2.86956e6i −0.197757 0.199300i
\(731\) −1.30892e7 1.30892e7i −0.905985 0.905985i
\(732\) −70384.4 + 9.05412e6i −0.00485511 + 0.624552i
\(733\) −1.72162e7 + 1.72162e7i −1.18352 + 1.18352i −0.204698 + 0.978825i \(0.565621\pi\)
−0.978825 + 0.204698i \(0.934379\pi\)
\(734\) 93825.2 2.41394e7i 0.00642805 1.65381i
\(735\) −643711. −0.0439514
\(736\) 2.76194e7 + 536821.i 1.87940 + 0.0365288i
\(737\) 2.34145e7 1.58787
\(738\) −4289.68 + 1.10365e6i −0.000289924 + 0.0745916i
\(739\) 7.02153e6 7.02153e6i 0.472956 0.472956i −0.429914 0.902870i \(-0.641456\pi\)
0.902870 + 0.429914i \(0.141456\pi\)
\(740\) 65341.8 8.40545e6i 0.00438644 0.564263i
\(741\) −1.59414e7 1.59414e7i −1.06655 1.06655i
\(742\) −1.72124e7 1.73467e7i −1.14771 1.15667i
\(743\) 3.78191e6i 0.251327i −0.992073 0.125664i \(-0.959894\pi\)
0.992073 0.125664i \(-0.0401060\pi\)
\(744\) −2.03928e6 2.08740e6i −0.135065 0.138252i
\(745\) 5.22214e6i 0.344713i
\(746\) 9.09916e6 9.02870e6i 0.598624 0.593989i
\(747\) −1.87221e6 1.87221e6i −0.122759 0.122759i
\(748\) −1.49018e7 1.51353e7i −0.973835 0.989094i
\(749\) −1.45800e7 + 1.45800e7i −0.949624 + 0.949624i
\(750\) 1.23615e6 + 4804.67i 0.0802447 + 0.000311896i
\(751\) 1.35554e7 0.877027 0.438514 0.898725i \(-0.355505\pi\)
0.438514 + 0.898725i \(0.355505\pi\)
\(752\) −9.15521e6 142349.i −0.590369 0.00917932i
\(753\) 9.64301e6 0.619762
\(754\) 8.29407e6 + 32237.5i 0.531300 + 0.00206506i
\(755\) 1.52199e6 1.52199e6i 0.0971729 0.0971729i
\(756\) 1.13297e7 1.11549e7i 0.720967 0.709844i
\(757\) −1.42526e7 1.42526e7i −0.903974 0.903974i 0.0918036 0.995777i \(-0.470737\pi\)
−0.995777 + 0.0918036i \(0.970737\pi\)
\(758\) 7.51332e6 7.45514e6i 0.474962 0.471284i
\(759\) 2.84128e7i 1.79023i
\(760\) 156477. 1.34189e7i 0.00982688 0.842719i
\(761\) 5.64585e6i 0.353401i −0.984265 0.176701i \(-0.943458\pi\)
0.984265 0.176701i \(-0.0565424\pi\)
\(762\) 6.84853e6 + 6.90198e6i 0.427278 + 0.430612i