Properties

Label 80.6.l.a.21.10
Level 80
Weight 6
Character 80.21
Analytic conductor 12.831
Analytic rank 0
Dimension 80
CM no
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 21.10
Character \(\chi\) \(=\) 80.21
Dual form 80.6.l.a.61.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.24419 - 3.73990i) q^{2} +(21.1465 - 21.1465i) q^{3} +(4.02635 + 31.7457i) q^{4} +(17.6777 + 17.6777i) q^{5} +(-168.835 + 10.6641i) q^{6} +100.160i q^{7} +(101.637 - 149.793i) q^{8} -651.346i q^{9} +O(q^{10})\) \(q+(-4.24419 - 3.73990i) q^{2} +(21.1465 - 21.1465i) q^{3} +(4.02635 + 31.7457i) q^{4} +(17.6777 + 17.6777i) q^{5} +(-168.835 + 10.6641i) q^{6} +100.160i q^{7} +(101.637 - 149.793i) q^{8} -651.346i q^{9} +(-8.91479 - 141.140i) q^{10} +(-419.591 - 419.591i) q^{11} +(756.452 + 586.166i) q^{12} +(455.822 - 455.822i) q^{13} +(374.589 - 425.099i) q^{14} +747.641 q^{15} +(-991.577 + 255.638i) q^{16} -662.910 q^{17} +(-2435.97 + 2764.44i) q^{18} +(1207.30 - 1207.30i) q^{19} +(-490.013 + 632.366i) q^{20} +(2118.04 + 2118.04i) q^{21} +(211.598 + 3350.05i) q^{22} -2571.76i q^{23} +(-1018.33 - 5316.86i) q^{24} +625.000i q^{25} +(-3639.32 + 229.869i) q^{26} +(-8635.09 - 8635.09i) q^{27} +(-3179.65 + 403.280i) q^{28} +(-2023.28 + 2023.28i) q^{29} +(-3173.13 - 2796.10i) q^{30} +3150.05 q^{31} +(5164.51 + 2623.42i) q^{32} -17745.7 q^{33} +(2813.52 + 2479.21i) q^{34} +(-1770.60 + 1770.60i) q^{35} +(20677.4 - 2622.55i) q^{36} +(2281.97 + 2281.97i) q^{37} +(-9639.23 + 608.840i) q^{38} -19278.1i q^{39} +(4444.69 - 851.285i) q^{40} +3833.77i q^{41} +(-1068.12 - 16910.6i) q^{42} +(12989.2 + 12989.2i) q^{43} +(11630.8 - 15009.6i) q^{44} +(11514.3 - 11514.3i) q^{45} +(-9618.12 + 10915.0i) q^{46} -15693.3 q^{47} +(-15562.5 + 26374.2i) q^{48} +6774.93 q^{49} +(2337.44 - 2652.62i) q^{50} +(-14018.2 + 14018.2i) q^{51} +(16305.7 + 12635.1i) q^{52} +(14775.3 + 14775.3i) q^{53} +(4354.64 + 68943.3i) q^{54} -14834.8i q^{55} +(15003.3 + 10180.0i) q^{56} -51060.5i q^{57} +(16154.1 - 1020.34i) q^{58} +(24476.4 + 24476.4i) q^{59} +(3010.26 + 23734.4i) q^{60} +(-15192.1 + 15192.1i) q^{61} +(-13369.4 - 11780.9i) q^{62} +65239.0 q^{63} +(-12107.9 - 30449.0i) q^{64} +16115.7 q^{65} +(75316.3 + 66367.2i) q^{66} +(-24925.1 + 24925.1i) q^{67} +(-2669.11 - 21044.5i) q^{68} +(-54383.7 - 54383.7i) q^{69} +(14136.6 - 892.907i) q^{70} -52032.9i q^{71} +(-97567.1 - 66200.9i) q^{72} -37463.3i q^{73} +(-1150.79 - 18219.4i) q^{74} +(13216.5 + 13216.5i) q^{75} +(43187.7 + 33465.7i) q^{76} +(42026.3 - 42026.3i) q^{77} +(-72097.9 + 81819.8i) q^{78} +88799.9 q^{79} +(-22047.9 - 13009.7i) q^{80} -206926. q^{81} +(14337.9 - 16271.3i) q^{82} +(61945.4 - 61945.4i) q^{83} +(-58710.5 + 75766.4i) q^{84} +(-11718.7 - 11718.7i) q^{85} +(-6550.39 - 103707. i) q^{86} +85570.7i q^{87} +(-105498. + 20205.8i) q^{88} +1923.83i q^{89} +(-91931.1 + 5806.62i) q^{90} +(45655.2 + 45655.2i) q^{91} +(81642.3 - 10354.8i) q^{92} +(66612.5 - 66612.5i) q^{93} +(66605.5 + 58691.4i) q^{94} +42684.7 q^{95} +(164687. - 53735.1i) q^{96} -57200.4 q^{97} +(-28754.1 - 25337.5i) q^{98} +(-273299. + 273299. i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.24419 3.73990i −0.750274 0.661127i
\(3\) 21.1465 21.1465i 1.35655 1.35655i 0.478410 0.878136i \(-0.341213\pi\)
0.878136 0.478410i \(-0.158787\pi\)
\(4\) 4.02635 + 31.7457i 0.125823 + 0.992053i
\(5\) 17.6777 + 17.6777i 0.316228 + 0.316228i
\(6\) −168.835 + 10.6641i −1.91463 + 0.120933i
\(7\) 100.160i 0.772592i 0.922375 + 0.386296i \(0.126246\pi\)
−0.922375 + 0.386296i \(0.873754\pi\)
\(8\) 101.637 149.793i 0.561470 0.827497i
\(9\) 651.346i 2.68044i
\(10\) −8.91479 141.140i −0.0281910 0.446324i
\(11\) −419.591 419.591i −1.04555 1.04555i −0.998912 0.0466369i \(-0.985150\pi\)
−0.0466369 0.998912i \(-0.514850\pi\)
\(12\) 756.452 + 586.166i 1.51645 + 1.17508i
\(13\) 455.822 455.822i 0.748061 0.748061i −0.226054 0.974115i \(-0.572583\pi\)
0.974115 + 0.226054i \(0.0725826\pi\)
\(14\) 374.589 425.099i 0.510781 0.579656i
\(15\) 747.641 0.857955
\(16\) −991.577 + 255.638i −0.968337 + 0.249647i
\(17\) −662.910 −0.556329 −0.278165 0.960533i \(-0.589726\pi\)
−0.278165 + 0.960533i \(0.589726\pi\)
\(18\) −2435.97 + 2764.44i −1.77211 + 2.01106i
\(19\) 1207.30 1207.30i 0.767243 0.767243i −0.210377 0.977620i \(-0.567469\pi\)
0.977620 + 0.210377i \(0.0674693\pi\)
\(20\) −490.013 + 632.366i −0.273926 + 0.353503i
\(21\) 2118.04 + 2118.04i 1.04806 + 1.04806i
\(22\) 211.598 + 3350.05i 0.0932085 + 1.47569i
\(23\) 2571.76i 1.01370i −0.862033 0.506852i \(-0.830809\pi\)
0.862033 0.506852i \(-0.169191\pi\)
\(24\) −1018.33 5316.86i −0.360878 1.88420i
\(25\) 625.000i 0.200000i
\(26\) −3639.32 + 229.869i −1.05581 + 0.0666880i
\(27\) −8635.09 8635.09i −2.27959 2.27959i
\(28\) −3179.65 + 403.280i −0.766452 + 0.0972101i
\(29\) −2023.28 + 2023.28i −0.446747 + 0.446747i −0.894272 0.447524i \(-0.852306\pi\)
0.447524 + 0.894272i \(0.352306\pi\)
\(30\) −3173.13 2796.10i −0.643702 0.567217i
\(31\) 3150.05 0.588727 0.294363 0.955694i \(-0.404892\pi\)
0.294363 + 0.955694i \(0.404892\pi\)
\(32\) 5164.51 + 2623.42i 0.891567 + 0.452890i
\(33\) −17745.7 −2.83667
\(34\) 2813.52 + 2479.21i 0.417400 + 0.367804i
\(35\) −1770.60 + 1770.60i −0.244315 + 0.244315i
\(36\) 20677.4 2622.55i 2.65914 0.337262i
\(37\) 2281.97 + 2281.97i 0.274034 + 0.274034i 0.830722 0.556688i \(-0.187928\pi\)
−0.556688 + 0.830722i \(0.687928\pi\)
\(38\) −9639.23 + 608.840i −1.08289 + 0.0683981i
\(39\) 19278.1i 2.02956i
\(40\) 4444.69 851.285i 0.439230 0.0841250i
\(41\) 3833.77i 0.356178i 0.984014 + 0.178089i \(0.0569914\pi\)
−0.984014 + 0.178089i \(0.943009\pi\)
\(42\) −1068.12 16910.6i −0.0934321 1.47923i
\(43\) 12989.2 + 12989.2i 1.07130 + 1.07130i 0.997255 + 0.0740429i \(0.0235902\pi\)
0.0740429 + 0.997255i \(0.476410\pi\)
\(44\) 11630.8 15009.6i 0.905685 1.16879i
\(45\) 11514.3 11514.3i 0.847629 0.847629i
\(46\) −9618.12 + 10915.0i −0.670186 + 0.760556i
\(47\) −15693.3 −1.03626 −0.518132 0.855301i \(-0.673372\pi\)
−0.518132 + 0.855301i \(0.673372\pi\)
\(48\) −15562.5 + 26374.2i −0.974937 + 1.65225i
\(49\) 6774.93 0.403102
\(50\) 2337.44 2652.62i 0.132225 0.150055i
\(51\) −14018.2 + 14018.2i −0.754687 + 0.754687i
\(52\) 16305.7 + 12635.1i 0.836239 + 0.647992i
\(53\) 14775.3 + 14775.3i 0.722515 + 0.722515i 0.969117 0.246601i \(-0.0793139\pi\)
−0.246601 + 0.969117i \(0.579314\pi\)
\(54\) 4354.64 + 68943.3i 0.203221 + 3.21742i
\(55\) 14834.8i 0.661263i
\(56\) 15003.3 + 10180.0i 0.639317 + 0.433787i
\(57\) 51060.5i 2.08160i
\(58\) 16154.1 1020.34i 0.630540 0.0398266i
\(59\) 24476.4 + 24476.4i 0.915413 + 0.915413i 0.996691 0.0812787i \(-0.0259004\pi\)
−0.0812787 + 0.996691i \(0.525900\pi\)
\(60\) 3010.26 + 23734.4i 0.107951 + 0.851137i
\(61\) −15192.1 + 15192.1i −0.522749 + 0.522749i −0.918401 0.395652i \(-0.870519\pi\)
0.395652 + 0.918401i \(0.370519\pi\)
\(62\) −13369.4 11780.9i −0.441707 0.389223i
\(63\) 65239.0 2.07088
\(64\) −12107.9 30449.0i −0.369502 0.929230i
\(65\) 16115.7 0.473115
\(66\) 75316.3 + 66367.2i 2.12828 + 1.87540i
\(67\) −24925.1 + 24925.1i −0.678343 + 0.678343i −0.959625 0.281282i \(-0.909240\pi\)
0.281282 + 0.959625i \(0.409240\pi\)
\(68\) −2669.11 21044.5i −0.0699993 0.551908i
\(69\) −54383.7 54383.7i −1.37514 1.37514i
\(70\) 14136.6 892.907i 0.344826 0.0217802i
\(71\) 52032.9i 1.22499i −0.790475 0.612494i \(-0.790166\pi\)
0.790475 0.612494i \(-0.209834\pi\)
\(72\) −97567.1 66200.9i −2.21805 1.50499i
\(73\) 37463.3i 0.822808i −0.911453 0.411404i \(-0.865039\pi\)
0.911453 0.411404i \(-0.134961\pi\)
\(74\) −1150.79 18219.4i −0.0244296 0.386772i
\(75\) 13216.5 + 13216.5i 0.271309 + 0.271309i
\(76\) 43187.7 + 33465.7i 0.857682 + 0.664608i
\(77\) 42026.3 42026.3i 0.807783 0.807783i
\(78\) −72097.9 + 81819.8i −1.34180 + 1.52273i
\(79\) 88799.9 1.60083 0.800414 0.599448i \(-0.204613\pi\)
0.800414 + 0.599448i \(0.204613\pi\)
\(80\) −22047.9 13009.7i −0.385160 0.227270i
\(81\) −206926. −3.50431
\(82\) 14337.9 16271.3i 0.235478 0.267231i
\(83\) 61945.4 61945.4i 0.986992 0.986992i −0.0129242 0.999916i \(-0.504114\pi\)
0.999916 + 0.0129242i \(0.00411402\pi\)
\(84\) −58710.5 + 75766.4i −0.907858 + 1.17160i
\(85\) −11718.7 11718.7i −0.175927 0.175927i
\(86\) −6550.39 103707.i −0.0955039 1.51203i
\(87\) 85570.7i 1.21207i
\(88\) −105498. + 20205.8i −1.45223 + 0.278144i
\(89\) 1923.83i 0.0257449i 0.999917 + 0.0128725i \(0.00409754\pi\)
−0.999917 + 0.0128725i \(0.995902\pi\)
\(90\) −91931.1 + 5806.62i −1.19634 + 0.0755643i
\(91\) 45655.2 + 45655.2i 0.577946 + 0.577946i
\(92\) 81642.3 10354.8i 1.00565 0.127548i
\(93\) 66612.5 66612.5i 0.798635 0.798635i
\(94\) 66605.5 + 58691.4i 0.777483 + 0.685102i
\(95\) 42684.7 0.485247
\(96\) 164687. 53735.1i 1.82382 0.595086i
\(97\) −57200.4 −0.617263 −0.308631 0.951182i \(-0.599871\pi\)
−0.308631 + 0.951182i \(0.599871\pi\)
\(98\) −28754.1 25337.5i −0.302437 0.266501i
\(99\) −273299. + 273299.i −2.80253 + 2.80253i
\(100\) −19841.1 + 2516.47i −0.198411 + 0.0251647i
\(101\) 59911.1 + 59911.1i 0.584392 + 0.584392i 0.936107 0.351715i \(-0.114402\pi\)
−0.351715 + 0.936107i \(0.614402\pi\)
\(102\) 111923. 7069.33i 1.06517 0.0672787i
\(103\) 163644.i 1.51987i 0.650000 + 0.759934i \(0.274769\pi\)
−0.650000 + 0.759934i \(0.725231\pi\)
\(104\) −21950.6 114607.i −0.199004 1.03903i
\(105\) 74883.8i 0.662849i
\(106\) −7451.14 117967.i −0.0644107 1.01976i
\(107\) −48203.4 48203.4i −0.407022 0.407022i 0.473677 0.880699i \(-0.342927\pi\)
−0.880699 + 0.473677i \(0.842927\pi\)
\(108\) 239359. 308895.i 1.97465 2.54830i
\(109\) −83668.5 + 83668.5i −0.674522 + 0.674522i −0.958755 0.284233i \(-0.908261\pi\)
0.284233 + 0.958755i \(0.408261\pi\)
\(110\) −55480.5 + 62961.7i −0.437179 + 0.496129i
\(111\) 96511.0 0.743480
\(112\) −25604.8 99316.6i −0.192875 0.748129i
\(113\) −43813.5 −0.322784 −0.161392 0.986890i \(-0.551598\pi\)
−0.161392 + 0.986890i \(0.551598\pi\)
\(114\) −190961. + 216710.i −1.37620 + 1.56177i
\(115\) 45462.7 45462.7i 0.320561 0.320561i
\(116\) −72377.0 56084.1i −0.499408 0.386986i
\(117\) −296898. 296898.i −2.00513 2.00513i
\(118\) −12343.3 195422.i −0.0816071 1.29201i
\(119\) 66397.2i 0.429816i
\(120\) 75987.9 111991.i 0.481716 0.709956i
\(121\) 191062.i 1.18634i
\(122\) 121295. 7661.32i 0.737808 0.0466019i
\(123\) 81070.7 + 81070.7i 0.483172 + 0.483172i
\(124\) 12683.2 + 100001.i 0.0740756 + 0.584048i
\(125\) −11048.5 + 11048.5i −0.0632456 + 0.0632456i
\(126\) −276887. 243987.i −1.55373 1.36912i
\(127\) 150649. 0.828816 0.414408 0.910091i \(-0.363989\pi\)
0.414408 + 0.910091i \(0.363989\pi\)
\(128\) −62488.1 + 174514.i −0.337110 + 0.941465i
\(129\) 549350. 2.90653
\(130\) −68398.3 60271.2i −0.354966 0.312789i
\(131\) 191515. 191515.i 0.975047 0.975047i −0.0246495 0.999696i \(-0.507847\pi\)
0.999696 + 0.0246495i \(0.00784698\pi\)
\(132\) −71450.5 563350.i −0.356920 2.81413i
\(133\) 120924. + 120924.i 0.592766 + 0.592766i
\(134\) 199004. 12569.6i 0.957414 0.0604728i
\(135\) 305296.i 1.44174i
\(136\) −67376.1 + 99299.2i −0.312362 + 0.460361i
\(137\) 127096.i 0.578537i 0.957248 + 0.289268i \(0.0934120\pi\)
−0.957248 + 0.289268i \(0.906588\pi\)
\(138\) 27425.5 + 434204.i 0.122590 + 1.94087i
\(139\) 8344.58 + 8344.58i 0.0366326 + 0.0366326i 0.725186 0.688553i \(-0.241754\pi\)
−0.688553 + 0.725186i \(0.741754\pi\)
\(140\) −63337.9 49079.8i −0.273114 0.211633i
\(141\) −331859. + 331859.i −1.40574 + 1.40574i
\(142\) −194598. + 220838.i −0.809873 + 0.919078i
\(143\) −382518. −1.56427
\(144\) 166509. + 645860.i 0.669163 + 2.59557i
\(145\) −71533.9 −0.282548
\(146\) −140109. + 159001.i −0.543980 + 0.617332i
\(147\) 143266. 143266.i 0.546826 0.546826i
\(148\) −63254.6 + 81630.6i −0.237376 + 0.306336i
\(149\) −120025. 120025.i −0.442900 0.442900i 0.450085 0.892986i \(-0.351394\pi\)
−0.892986 + 0.450085i \(0.851394\pi\)
\(150\) −6665.06 105522.i −0.0241867 0.382926i
\(151\) 49519.6i 0.176740i 0.996088 + 0.0883699i \(0.0281658\pi\)
−0.996088 + 0.0883699i \(0.971834\pi\)
\(152\) −58138.9 303553.i −0.204107 1.06568i
\(153\) 431784.i 1.49121i
\(154\) −335542. + 21193.7i −1.14011 + 0.0720121i
\(155\) 55685.6 + 55685.6i 0.186172 + 0.186172i
\(156\) 611995. 77620.2i 2.01343 0.255366i
\(157\) 143298. 143298.i 0.463971 0.463971i −0.435984 0.899955i \(-0.643600\pi\)
0.899955 + 0.435984i \(0.143600\pi\)
\(158\) −376884. 332102.i −1.20106 1.05835i
\(159\) 624892. 1.96025
\(160\) 44920.5 + 137672.i 0.138722 + 0.425154i
\(161\) 257588. 0.783179
\(162\) 878234. + 773882.i 2.62919 + 2.31679i
\(163\) −368607. + 368607.i −1.08666 + 1.08666i −0.0907922 + 0.995870i \(0.528940\pi\)
−0.995870 + 0.0907922i \(0.971060\pi\)
\(164\) −121706. + 15436.1i −0.353347 + 0.0448155i
\(165\) −313703. 313703.i −0.897034 0.897034i
\(166\) −494578. + 31238.8i −1.39304 + 0.0879883i
\(167\) 373588.i 1.03658i 0.855206 + 0.518288i \(0.173430\pi\)
−0.855206 + 0.518288i \(0.826570\pi\)
\(168\) 532537. 101996.i 1.45572 0.278811i
\(169\) 44254.5i 0.119190i
\(170\) 5909.70 + 93563.1i 0.0156835 + 0.248303i
\(171\) −786374. 786374.i −2.05655 2.05655i
\(172\) −360051. + 464649.i −0.927990 + 1.19758i
\(173\) 1424.89 1424.89i 0.00361964 0.00361964i −0.705295 0.708914i \(-0.749185\pi\)
0.708914 + 0.705295i \(0.249185\pi\)
\(174\) 320025. 363178.i 0.801330 0.909383i
\(175\) −62600.1 −0.154518
\(176\) 523320. + 308793.i 1.27346 + 0.751426i
\(177\) 1.03518e6 2.48360
\(178\) 7194.92 8165.10i 0.0170206 0.0193157i
\(179\) 171556. 171556.i 0.400196 0.400196i −0.478106 0.878302i \(-0.658676\pi\)
0.878302 + 0.478106i \(0.158676\pi\)
\(180\) 411889. + 319168.i 0.947544 + 0.734241i
\(181\) −189955. 189955.i −0.430977 0.430977i 0.457984 0.888961i \(-0.348572\pi\)
−0.888961 + 0.457984i \(0.848572\pi\)
\(182\) −23023.8 364515.i −0.0515226 0.815713i
\(183\) 642518.i 1.41827i
\(184\) −385232. 261386.i −0.838836 0.569164i
\(185\) 80679.7i 0.173314i
\(186\) −531840. + 33592.5i −1.12719 + 0.0711966i
\(187\) 278151. + 278151.i 0.581670 + 0.581670i
\(188\) −63186.8 498196.i −0.130386 1.02803i
\(189\) 864892. 864892.i 1.76119 1.76119i
\(190\) −181162. 159636.i −0.364068 0.320810i
\(191\) 701235. 1.39085 0.695425 0.718599i \(-0.255216\pi\)
0.695425 + 0.718599i \(0.255216\pi\)
\(192\) −899927. 387851.i −1.76179 0.759297i
\(193\) −780783. −1.50882 −0.754409 0.656405i \(-0.772076\pi\)
−0.754409 + 0.656405i \(0.772076\pi\)
\(194\) 242770. + 213924.i 0.463116 + 0.408089i
\(195\) 340791. 340791.i 0.641803 0.641803i
\(196\) 27278.2 + 215075.i 0.0507196 + 0.399898i
\(197\) −270606. 270606.i −0.496788 0.496788i 0.413649 0.910437i \(-0.364254\pi\)
−0.910437 + 0.413649i \(0.864254\pi\)
\(198\) 2.18204e6 137824.i 3.95549 0.249839i
\(199\) 124497.i 0.222856i −0.993772 0.111428i \(-0.964458\pi\)
0.993772 0.111428i \(-0.0355425\pi\)
\(200\) 93620.6 + 63523.1i 0.165499 + 0.112294i
\(201\) 1.05415e6i 1.84041i
\(202\) −30213.0 478336.i −0.0520973 0.824811i
\(203\) −202653. 202653.i −0.345153 0.345153i
\(204\) −501460. 388575.i −0.843646 0.653732i
\(205\) −67772.2 + 67772.2i −0.112633 + 0.112633i
\(206\) 612010. 694535.i 1.00483 1.14032i
\(207\) −1.67511e6 −2.71717
\(208\) −335457. + 568508.i −0.537624 + 0.911126i
\(209\) −1.01315e6 −1.60438
\(210\) 280058. 317822.i 0.438227 0.497319i
\(211\) 74262.7 74262.7i 0.114832 0.114832i −0.647356 0.762188i \(-0.724125\pi\)
0.762188 + 0.647356i \(0.224125\pi\)
\(212\) −409562. + 528543.i −0.625864 + 0.807683i
\(213\) −1.10031e6 1.10031e6i −1.66175 1.66175i
\(214\) 24308.8 + 384860.i 0.0362852 + 0.574472i
\(215\) 459237.i 0.677548i
\(216\) −2.17112e6 + 415831.i −3.16628 + 0.606432i
\(217\) 315510.i 0.454846i
\(218\) 668017. 42193.7i 0.952020 0.0601322i
\(219\) −792216. 792216.i −1.11618 1.11618i
\(220\) 470940. 59730.0i 0.656008 0.0832024i
\(221\) −302169. + 302169.i −0.416168 + 0.416168i
\(222\) −409611. 360941.i −0.557814 0.491535i
\(223\) 873769. 1.17662 0.588308 0.808637i \(-0.299794\pi\)
0.588308 + 0.808637i \(0.299794\pi\)
\(224\) −262762. + 517278.i −0.349899 + 0.688817i
\(225\) 407092. 0.536088
\(226\) 185953. + 163858.i 0.242176 + 0.213401i
\(227\) −804882. + 804882.i −1.03673 + 1.03673i −0.0374350 + 0.999299i \(0.511919\pi\)
−0.999299 + 0.0374350i \(0.988081\pi\)
\(228\) 1.62095e6 205587.i 2.06506 0.261914i
\(229\) 640029. + 640029.i 0.806512 + 0.806512i 0.984104 0.177592i \(-0.0568308\pi\)
−0.177592 + 0.984104i \(0.556831\pi\)
\(230\) −362978. + 22926.7i −0.452440 + 0.0285773i
\(231\) 1.77742e6i 2.19159i
\(232\) 97433.2 + 508714.i 0.118847 + 0.620517i
\(233\) 442511.i 0.533991i −0.963698 0.266996i \(-0.913969\pi\)
0.963698 0.266996i \(-0.0860309\pi\)
\(234\) 149725. + 2.37046e6i 0.178753 + 2.83004i
\(235\) −277422. 277422.i −0.327696 0.327696i
\(236\) −678469. + 875569.i −0.792957 + 1.02332i
\(237\) 1.87780e6 1.87780e6i 2.17160 2.17160i
\(238\) −248319. + 281802.i −0.284163 + 0.322480i
\(239\) 779631. 0.882865 0.441432 0.897294i \(-0.354470\pi\)
0.441432 + 0.897294i \(0.354470\pi\)
\(240\) −741343. + 191126.i −0.830790 + 0.214186i
\(241\) 1.17545e6 1.30365 0.651827 0.758368i \(-0.274003\pi\)
0.651827 + 0.758368i \(0.274003\pi\)
\(242\) 714552. 810904.i 0.784324 0.890084i
\(243\) −2.27743e6 + 2.27743e6i −2.47417 + 2.47417i
\(244\) −543452. 421115.i −0.584368 0.452820i
\(245\) 119765. + 119765.i 0.127472 + 0.127472i
\(246\) −40883.7 647276.i −0.0430737 0.681949i
\(247\) 1.10063e6i 1.14789i
\(248\) 320162. 471856.i 0.330553 0.487170i
\(249\) 2.61985e6i 2.67780i
\(250\) 88212.6 5571.74i 0.0892648 0.00563821i
\(251\) 838767. + 838767.i 0.840344 + 0.840344i 0.988903 0.148559i \(-0.0474636\pi\)
−0.148559 + 0.988903i \(0.547464\pi\)
\(252\) 262675. + 2.07106e6i 0.260566 + 2.05443i
\(253\) −1.07909e6 + 1.07909e6i −1.05988 + 1.05988i
\(254\) −639385. 563413.i −0.621839 0.547952i
\(255\) −495618. −0.477306
\(256\) 917874. 506970.i 0.875353 0.483485i
\(257\) 26562.8 0.0250865 0.0125433 0.999921i \(-0.496007\pi\)
0.0125433 + 0.999921i \(0.496007\pi\)
\(258\) −2.33155e6 2.05451e6i −2.18070 1.92159i
\(259\) −228562. + 228562.i −0.211717 + 0.211717i
\(260\) 64887.6 + 511605.i 0.0595290 + 0.469355i
\(261\) 1.31786e6 + 1.31786e6i 1.19748 + 1.19748i
\(262\) −1.52908e6 + 96580.5i −1.37618 + 0.0869233i
\(263\) 2.16147e6i 1.92690i −0.267885 0.963451i \(-0.586325\pi\)
0.267885 0.963451i \(-0.413675\pi\)
\(264\) −1.80362e6 + 2.65819e6i −1.59271 + 2.34734i
\(265\) 522386.i 0.456959i
\(266\) −60981.5 965467.i −0.0528438 0.836630i
\(267\) 40682.2 + 40682.2i 0.0349242 + 0.0349242i
\(268\) −891620. 690906.i −0.758303 0.587601i
\(269\) −553966. + 553966.i −0.466770 + 0.466770i −0.900866 0.434097i \(-0.857068\pi\)
0.434097 + 0.900866i \(0.357068\pi\)
\(270\) −1.14178e6 + 1.29574e6i −0.953173 + 1.08170i
\(271\) 1.04497e6 0.864333 0.432166 0.901794i \(-0.357749\pi\)
0.432166 + 0.901794i \(0.357749\pi\)
\(272\) 657326. 169465.i 0.538714 0.138886i
\(273\) 1.93089e6 1.56802
\(274\) 475326. 539420.i 0.382486 0.434061i
\(275\) 262244. 262244.i 0.209110 0.209110i
\(276\) 1.50748e6 1.94541e6i 1.19118 1.53723i
\(277\) −758735. 758735.i −0.594143 0.594143i 0.344605 0.938748i \(-0.388013\pi\)
−0.938748 + 0.344605i \(0.888013\pi\)
\(278\) −4208.14 66623.9i −0.00326572 0.0517032i
\(279\) 2.05178e6i 1.57805i
\(280\) 85264.9 + 445182.i 0.0649943 + 0.339346i
\(281\) 209903.i 0.158582i 0.996852 + 0.0792908i \(0.0252656\pi\)
−0.996852 + 0.0792908i \(0.974734\pi\)
\(282\) 2.64959e6 167355.i 1.98406 0.125319i
\(283\) −355669. 355669.i −0.263986 0.263986i 0.562685 0.826671i \(-0.309768\pi\)
−0.826671 + 0.562685i \(0.809768\pi\)
\(284\) 1.65182e6 209503.i 1.21525 0.154132i
\(285\) 902630. 902630.i 0.658260 0.658260i
\(286\) 1.62348e6 + 1.43058e6i 1.17363 + 1.03418i
\(287\) −383991. −0.275180
\(288\) 1.70875e6 3.36388e6i 1.21394 2.38979i
\(289\) −980408. −0.690498
\(290\) 303604. + 267529.i 0.211988 + 0.186800i
\(291\) −1.20959e6 + 1.20959e6i −0.837346 + 0.837346i
\(292\) 1.18930e6 150840.i 0.816269 0.103529i
\(293\) 1.42689e6 + 1.42689e6i 0.971006 + 0.971006i 0.999591 0.0285852i \(-0.00910018\pi\)
−0.0285852 + 0.999591i \(0.509100\pi\)
\(294\) −1.14385e6 + 72248.5i −0.771791 + 0.0487484i
\(295\) 865370.i 0.578958i
\(296\) 573754. 109890.i 0.380625 0.0729004i
\(297\) 7.24641e6i 4.76685i
\(298\) 60528.2 + 958290.i 0.0394836 + 0.625110i
\(299\) −1.17227e6 1.17227e6i −0.758312 0.758312i
\(300\) −366354. + 472783.i −0.235016 + 0.303290i
\(301\) −1.30100e6 + 1.30100e6i −0.827676 + 0.827676i
\(302\) 185198. 210171.i 0.116847 0.132603i
\(303\) 2.53382e6 1.58551
\(304\) −888502. + 1.50577e6i −0.551410 + 0.934489i
\(305\) −537121. −0.330615
\(306\) 1.61483e6 1.83257e6i 0.985876 1.11881i
\(307\) 1.70499e6 1.70499e6i 1.03247 1.03247i 0.0330100 0.999455i \(-0.489491\pi\)
0.999455 0.0330100i \(-0.0105093\pi\)
\(308\) 1.50337e6 + 1.16494e6i 0.903001 + 0.699725i
\(309\) 3.46048e6 + 3.46048e6i 2.06177 + 2.06177i
\(310\) −28082.1 444599.i −0.0165968 0.262763i
\(311\) 101227.i 0.0593465i 0.999560 + 0.0296732i \(0.00944667\pi\)
−0.999560 + 0.0296732i \(0.990553\pi\)
\(312\) −2.88772e6 1.95936e6i −1.67945 1.13954i
\(313\) 98807.4i 0.0570071i −0.999594 0.0285035i \(-0.990926\pi\)
0.999594 0.0285035i \(-0.00907419\pi\)
\(314\) −1.14410e6 + 72264.6i −0.654849 + 0.0413620i
\(315\) 1.15327e6 + 1.15327e6i 0.654871 + 0.654871i
\(316\) 357539. + 2.81901e6i 0.201422 + 1.58811i
\(317\) −1.62863e6 + 1.62863e6i −0.910279 + 0.910279i −0.996294 0.0860149i \(-0.972587\pi\)
0.0860149 + 0.996294i \(0.472587\pi\)
\(318\) −2.65216e6 2.33703e6i −1.47073 1.29597i
\(319\) 1.69790e6 0.934192
\(320\) 324229. 752306.i 0.177001 0.410695i
\(321\) −2.03866e6 −1.10429
\(322\) −1.09325e6 963353.i −0.587599 0.517780i
\(323\) −800334. + 800334.i −0.426840 + 0.426840i
\(324\) −833156. 6.56901e6i −0.440924 3.47646i
\(325\) 284889. + 284889.i 0.149612 + 0.149612i
\(326\) 2.94299e6 185887.i 1.53372 0.0968736i
\(327\) 3.53859e6i 1.83004i
\(328\) 574272. + 389653.i 0.294736 + 0.199983i
\(329\) 1.57185e6i 0.800610i
\(330\) 158199. + 2.50463e6i 0.0799687 + 1.26608i
\(331\) −1.03620e6 1.03620e6i −0.519843 0.519843i 0.397681 0.917524i \(-0.369815\pi\)
−0.917524 + 0.397681i \(0.869815\pi\)
\(332\) 2.21591e6 + 1.71709e6i 1.10334 + 0.854962i
\(333\) 1.48635e6 1.48635e6i 0.734532 0.734532i
\(334\) 1.39718e6 1.58558e6i 0.685308 0.777717i
\(335\) −881234. −0.429022
\(336\) −2.64165e6 1.55874e6i −1.27652 0.753228i
\(337\) −1.54942e6 −0.743179 −0.371590 0.928397i \(-0.621187\pi\)
−0.371590 + 0.928397i \(0.621187\pi\)
\(338\) −165507. + 187825.i −0.0787998 + 0.0894254i
\(339\) −926500. + 926500.i −0.437871 + 0.437871i
\(340\) 324835. 419202.i 0.152393 0.196664i
\(341\) −1.32173e6 1.32173e6i −0.615543 0.615543i
\(342\) 396565. + 6.27848e6i 0.183337 + 2.90261i
\(343\) 2.36197e6i 1.08403i
\(344\) 3.26587e6 625506.i 1.48800 0.284994i
\(345\) 1.92275e6i 0.869712i
\(346\) −11376.4 + 718.567i −0.00510877 + 0.000322684i
\(347\) 620879. + 620879.i 0.276811 + 0.276811i 0.831835 0.555024i \(-0.187291\pi\)
−0.555024 + 0.831835i \(0.687291\pi\)
\(348\) −2.71650e6 + 344537.i −1.20243 + 0.152506i
\(349\) 2.10966e6 2.10966e6i 0.927146 0.927146i −0.0703743 0.997521i \(-0.522419\pi\)
0.997521 + 0.0703743i \(0.0224194\pi\)
\(350\) 265687. + 234118.i 0.115931 + 0.102156i
\(351\) −7.87212e6 −3.41055
\(352\) −1.06622e6 3.26774e6i −0.458658 1.40569i
\(353\) −2.90680e6 −1.24159 −0.620795 0.783973i \(-0.713190\pi\)
−0.620795 + 0.783973i \(0.713190\pi\)
\(354\) −4.39349e6 3.87146e6i −1.86338 1.64197i
\(355\) 919820. 919820.i 0.387376 0.387376i
\(356\) −61073.3 + 7746.00i −0.0255403 + 0.00323931i
\(357\) −1.40407e6 1.40407e6i −0.583065 0.583065i
\(358\) −1.36972e6 + 86515.1i −0.564838 + 0.0356767i
\(359\) 322431.i 0.132038i −0.997818 0.0660192i \(-0.978970\pi\)
0.997818 0.0660192i \(-0.0210299\pi\)
\(360\) −554482. 2.89504e6i −0.225492 1.17733i
\(361\) 439070.i 0.177323i
\(362\) 95793.6 + 1.51662e6i 0.0384207 + 0.608281i
\(363\) 4.04029e6 + 4.04029e6i 1.60933 + 1.60933i
\(364\) −1.26553e6 + 1.63318e6i −0.500634 + 0.646072i
\(365\) 662263. 662263.i 0.260195 0.260195i
\(366\) 2.40295e6 2.72697e6i 0.937653 1.06409i
\(367\) −540469. −0.209462 −0.104731 0.994501i \(-0.533398\pi\)
−0.104731 + 0.994501i \(0.533398\pi\)
\(368\) 657441. + 2.55010e6i 0.253068 + 0.981606i
\(369\) 2.49711e6 0.954712
\(370\) 301734. 342420.i 0.114583 0.130033i
\(371\) −1.47990e6 + 1.47990e6i −0.558210 + 0.558210i
\(372\) 2.38287e6 + 1.84645e6i 0.892775 + 0.691801i
\(373\) −1.77590e6 1.77590e6i −0.660914 0.660914i 0.294681 0.955596i \(-0.404787\pi\)
−0.955596 + 0.294681i \(0.904787\pi\)
\(374\) −140271. 2.22078e6i −0.0518546 0.820969i
\(375\) 467275.i 0.171591i
\(376\) −1.59502e6 + 2.35075e6i −0.581832 + 0.857506i
\(377\) 1.84452e6i 0.668388i
\(378\) −6.90538e6 + 436162.i −2.48575 + 0.157007i
\(379\) −2.43945e6 2.43945e6i −0.872357 0.872357i 0.120371 0.992729i \(-0.461591\pi\)
−0.992729 + 0.120371i \(0.961591\pi\)
\(380\) 171863. + 1.35505e6i 0.0610554 + 0.481391i
\(381\) 3.18570e6 3.18570e6i 1.12433 1.12433i
\(382\) −2.97618e6 2.62255e6i −1.04352 0.919527i
\(383\) 1.05785e6 0.368490 0.184245 0.982880i \(-0.441016\pi\)
0.184245 + 0.982880i \(0.441016\pi\)
\(384\) 2.36894e6 + 5.01175e6i 0.819835 + 1.73445i
\(385\) 1.48585e6 0.510887
\(386\) 3.31379e6 + 2.92005e6i 1.13203 + 0.997520i
\(387\) 8.46045e6 8.46045e6i 2.87155 2.87155i
\(388\) −230309. 1.81587e6i −0.0776661 0.612357i
\(389\) −2.38220e6 2.38220e6i −0.798186 0.798186i 0.184624 0.982809i \(-0.440893\pi\)
−0.982809 + 0.184624i \(0.940893\pi\)
\(390\) −2.72091e6 + 171860.i −0.905841 + 0.0572154i
\(391\) 1.70484e6i 0.563953i
\(392\) 688583. 1.01484e6i 0.226330 0.333565i
\(393\) 8.09975e6i 2.64539i
\(394\) 136465. + 2.16054e6i 0.0442876 + 0.701167i
\(395\) 1.56977e6 + 1.56977e6i 0.506226 + 0.506226i
\(396\) −9.77646e6 7.57567e6i −3.13288 2.42763i
\(397\) −4.13447e6 + 4.13447e6i −1.31657 + 1.31657i −0.400096 + 0.916473i \(0.631023\pi\)
−0.916473 + 0.400096i \(0.868977\pi\)
\(398\) −465604. + 528388.i −0.147336 + 0.167203i
\(399\) 5.11423e6 1.60823
\(400\) −159774. 619736.i −0.0499294 0.193667i
\(401\) 456569. 0.141790 0.0708951 0.997484i \(-0.477414\pi\)
0.0708951 + 0.997484i \(0.477414\pi\)
\(402\) 3.94243e6 4.47404e6i 1.21674 1.38081i
\(403\) 1.43586e6 1.43586e6i 0.440403 0.440403i
\(404\) −1.66070e6 + 2.14314e6i −0.506217 + 0.653277i
\(405\) −3.65797e6 3.65797e6i −1.10816 1.10816i
\(406\) 102197. + 1.61800e6i 0.0307697 + 0.487150i
\(407\) 1.91498e6i 0.573032i
\(408\) 675060. + 3.52459e6i 0.200767 + 1.04824i
\(409\) 4.96200e6i 1.46673i −0.679838 0.733363i \(-0.737950\pi\)
0.679838 0.733363i \(-0.262050\pi\)
\(410\) 541099. 34177.3i 0.158971 0.0100410i
\(411\) 2.68763e6 + 2.68763e6i 0.784812 + 0.784812i
\(412\) −5.19498e6 + 658886.i −1.50779 + 0.191235i
\(413\) −2.45156e6 + 2.45156e6i −0.707240 + 0.707240i
\(414\) 7.10948e6 + 6.26473e6i 2.03862 + 1.79639i
\(415\) 2.19010e6 0.624229
\(416\) 3.54991e6 1.15828e6i 1.00574 0.328157i
\(417\) 352917. 0.0993876
\(418\) 4.30000e6 + 3.78907e6i 1.20373 + 1.06070i
\(419\) 119480. 119480.i 0.0332476 0.0332476i −0.690288 0.723535i \(-0.742516\pi\)
0.723535 + 0.690288i \(0.242516\pi\)
\(420\) −2.37724e6 + 301508.i −0.657582 + 0.0834020i
\(421\) 2.01225e6 + 2.01225e6i 0.553321 + 0.553321i 0.927398 0.374077i \(-0.122040\pi\)
−0.374077 + 0.927398i \(0.622040\pi\)
\(422\) −592920. + 37450.4i −0.162075 + 0.0102371i
\(423\) 1.02218e7i 2.77764i
\(424\) 3.71496e6 711520.i 1.00355 0.192208i
\(425\) 414319.i 0.111266i
\(426\) 554884. + 8.78499e6i 0.148142 + 2.34540i
\(427\) −1.52164e6 1.52164e6i −0.403871 0.403871i
\(428\) 1.33617e6 1.72433e6i 0.352575 0.455001i
\(429\) −8.08890e6 + 8.08890e6i −2.12200 + 2.12200i
\(430\) 1.71750e6 1.94909e6i 0.447945 0.508347i
\(431\) −2.42671e6 −0.629253 −0.314626 0.949216i \(-0.601879\pi\)
−0.314626 + 0.949216i \(0.601879\pi\)
\(432\) 1.07698e7 + 6.35489e6i 2.77651 + 1.63832i
\(433\) 2.83723e6 0.727234 0.363617 0.931548i \(-0.381542\pi\)
0.363617 + 0.931548i \(0.381542\pi\)
\(434\) 1.17998e6 1.33909e6i 0.300710 0.341259i
\(435\) −1.51269e6 + 1.51269e6i −0.383289 + 0.383289i
\(436\) −2.99299e6 2.31924e6i −0.754032 0.584290i
\(437\) −3.10490e6 3.10490e6i −0.777757 0.777757i
\(438\) 399512. + 6.32512e6i 0.0995049 + 1.57537i
\(439\) 2.45058e6i 0.606886i −0.952850 0.303443i \(-0.901864\pi\)
0.952850 0.303443i \(-0.0981361\pi\)
\(440\) −2.22214e6 1.50776e6i −0.547193 0.371280i
\(441\) 4.41283e6i 1.08049i
\(442\) 2.41254e6 152383.i 0.587380 0.0371005i
\(443\) −3.37357e6 3.37357e6i −0.816734 0.816734i 0.168899 0.985633i \(-0.445979\pi\)
−0.985633 + 0.168899i \(0.945979\pi\)
\(444\) 388587. + 3.06381e6i 0.0935472 + 0.737572i
\(445\) −34008.8 + 34008.8i −0.00814125 + 0.00814125i
\(446\) −3.70844e6 3.26781e6i −0.882784 0.777892i
\(447\) −5.07621e6 −1.20163
\(448\) 3.04978e6 1.21272e6i 0.717915 0.285474i
\(449\) −4.06254e6 −0.951002 −0.475501 0.879715i \(-0.657733\pi\)
−0.475501 + 0.879715i \(0.657733\pi\)
\(450\) −1.72777e6 1.52248e6i −0.402213 0.354422i
\(451\) 1.60862e6 1.60862e6i 0.372401 0.372401i
\(452\) −176408. 1.39089e6i −0.0406137 0.320218i
\(453\) 1.04716e6 + 1.04716e6i 0.239756 + 0.239756i
\(454\) 6.42625e6 405899.i 1.46325 0.0924226i
\(455\) 1.61416e6i 0.365525i
\(456\) −7.64850e6 5.18963e6i −1.72252 1.16876i
\(457\) 5.58191e6i 1.25024i 0.780530 + 0.625119i \(0.214949\pi\)
−0.780530 + 0.625119i \(0.785051\pi\)
\(458\) −322764. 5.11005e6i −0.0718988 1.13831i
\(459\) 5.72428e6 + 5.72428e6i 1.26820 + 1.26820i
\(460\) 1.62629e6 + 1.26020e6i 0.358348 + 0.277679i
\(461\) −1.91750e6 + 1.91750e6i −0.420227 + 0.420227i −0.885282 0.465055i \(-0.846034\pi\)
0.465055 + 0.885282i \(0.346034\pi\)
\(462\) −6.64735e6 + 7.54370e6i −1.44892 + 1.64429i
\(463\) 847727. 0.183782 0.0918911 0.995769i \(-0.470709\pi\)
0.0918911 + 0.995769i \(0.470709\pi\)
\(464\) 1.48901e6 2.52347e6i 0.321073 0.544131i
\(465\) 2.35511e6 0.505101
\(466\) −1.65495e6 + 1.87810e6i −0.353036 + 0.400640i
\(467\) −971517. + 971517.i −0.206138 + 0.206138i −0.802624 0.596486i \(-0.796563\pi\)
0.596486 + 0.802624i \(0.296563\pi\)
\(468\) 8.22982e6 1.06206e7i 1.73690 2.24149i
\(469\) −2.49650e6 2.49650e6i −0.524082 0.524082i
\(470\) 139903. + 2.21496e6i 0.0292134 + 0.462510i
\(471\) 6.06049e6i 1.25880i
\(472\) 6.15409e6 1.17868e6i 1.27148 0.243524i
\(473\) 1.09003e7i 2.24019i
\(474\) −1.49926e7 + 946970.i −3.06500 + 0.193593i
\(475\) 754565. + 754565.i 0.153449 + 0.153449i
\(476\) 2.10782e6 267338.i 0.426400 0.0540809i
\(477\) 9.62385e6 9.62385e6i 1.93666 1.93666i
\(478\) −3.30890e6 2.91574e6i −0.662391 0.583685i
\(479\) −2.09178e6 −0.416559 −0.208280 0.978069i \(-0.566786\pi\)
−0.208280 + 0.978069i \(0.566786\pi\)
\(480\) 3.86119e6 + 1.96137e6i 0.764924 + 0.388559i
\(481\) 2.08034e6 0.409989
\(482\) −4.98884e6 4.39607e6i −0.978098 0.861880i
\(483\) 5.44708e6 5.44708e6i 1.06242 1.06242i
\(484\) −6.06539e6 + 769282.i −1.17692 + 0.149270i
\(485\) −1.01117e6 1.01117e6i −0.195196 0.195196i
\(486\) 1.81832e7 1.14850e6i 3.49204 0.220567i
\(487\) 1.79078e6i 0.342153i 0.985258 + 0.171076i \(0.0547245\pi\)
−0.985258 + 0.171076i \(0.945276\pi\)
\(488\) 731590. + 3.81974e6i 0.139065 + 0.726081i
\(489\) 1.55895e7i 2.94822i
\(490\) −60397.1 956214.i −0.0113639 0.179914i
\(491\) −584391. 584391.i −0.109396 0.109396i 0.650290 0.759686i \(-0.274647\pi\)
−0.759686 + 0.650290i \(0.774647\pi\)
\(492\) −2.24723e6 + 2.90007e6i −0.418537 + 0.540126i
\(493\) 1.34126e6 1.34126e6i 0.248539 0.248539i
\(494\) −4.11625e6 + 4.67130e6i −0.758900 + 0.861232i
\(495\) −9.66258e6 −1.77247
\(496\) −3.12352e6 + 805275.i −0.570086 + 0.146974i
\(497\) 5.21163e6 0.946417
\(498\) −9.79798e6 + 1.11192e7i −1.77037 + 2.00909i
\(499\) 541829. 541829.i 0.0974116 0.0974116i −0.656722 0.754133i \(-0.728057\pi\)
0.754133 + 0.656722i \(0.228057\pi\)
\(500\) −395229. 306258.i −0.0707007 0.0547851i
\(501\) 7.90006e6 + 7.90006e6i 1.40616 + 1.40616i
\(502\) −422987. 6.69679e6i −0.0749149 1.18606i
\(503\) 3.68224e6i 0.648922i 0.945899 + 0.324461i \(0.105183\pi\)
−0.945899 + 0.324461i \(0.894817\pi\)
\(504\) 6.63069e6 9.77234e6i 1.16274 1.71365i
\(505\) 2.11818e6i 0.369602i
\(506\) 8.61553e6 544180.i 1.49591 0.0944857i
\(507\) −935826. 935826.i −0.161687 0.161687i
\(508\) 606567. + 4.78247e6i 0.104284 + 0.822229i
\(509\) −3.31091e6 + 3.31091e6i −0.566438 + 0.566438i −0.931129 0.364690i \(-0.881175\pi\)
0.364690 + 0.931129i \(0.381175\pi\)
\(510\) 2.10350e6 + 1.85356e6i 0.358110 + 0.315560i
\(511\) 3.75233e6 0.635695
\(512\) −5.79165e6 1.28107e6i −0.976399 0.215973i
\(513\) −2.08504e7 −3.49800
\(514\) −112738. 99342.1i −0.0188218 0.0165854i
\(515\) −2.89284e6 + 2.89284e6i −0.480624 + 0.480624i
\(516\) 2.21188e6 + 1.74395e7i 0.365710 + 2.88343i
\(517\) 6.58478e6 + 6.58478e6i 1.08347 + 1.08347i
\(518\) 1.82486e6 115263.i 0.298817 0.0188741i
\(519\) 60262.8i 0.00982043i
\(520\) 1.63796e6 2.41402e6i 0.265640 0.391501i
\(521\) 6.70813e6i 1.08270i −0.840798 0.541348i \(-0.817914\pi\)
0.840798 0.541348i \(-0.182086\pi\)
\(522\) −664592. 1.05219e7i −0.106753 1.69012i
\(523\) −46922.8 46922.8i −0.00750118 0.00750118i 0.703346 0.710847i \(-0.251688\pi\)
−0.710847 + 0.703346i \(0.751688\pi\)
\(524\) 6.85089e6 + 5.30868e6i 1.08998 + 0.844614i
\(525\) −1.32377e6 + 1.32377e6i −0.209611 + 0.209611i
\(526\) −8.08367e6 + 9.17369e6i −1.27393 + 1.44571i
\(527\) −2.08820e6 −0.327526
\(528\) 1.75963e7 4.53649e6i 2.74685 0.708166i
\(529\) −177608. −0.0275945
\(530\) 1.95367e6 2.21711e6i 0.302108 0.342845i
\(531\) 1.59426e7 1.59426e7i 2.45371 2.45371i
\(532\) −3.35193e6 + 4.32569e6i −0.513471 + 0.662639i
\(533\) 1.74752e6 + 1.74752e6i 0.266443 + 0.266443i
\(534\) −20515.9 324810.i −0.00311342 0.0492920i
\(535\) 1.70425e6i 0.257424i
\(536\) 1.20029e6 + 6.26691e6i 0.180457 + 0.942196i
\(537\) 7.25561e6i 1.08577i
\(538\) 4.42292e6 279363.i 0.658799 0.0416115i
\(539\) −2.84270e6 2.84270e6i −0.421463 0.421463i
\(540\) 9.69184e6 1.22923e6i 1.43028 0.181405i
\(541\) −4.04930e6 + 4.04930e6i −0.594822 + 0.594822i −0.938930 0.344108i \(-0.888181\pi\)
0.344108 + 0.938930i \(0.388181\pi\)
\(542\) −4.43506e6 3.90808e6i −0.648487 0.571433i
\(543\) −8.03375e6 −1.16928
\(544\) −3.42360e6 1.73909e6i −0.496005 0.251956i
\(545\) −2.95813e6 −0.426605
\(546\) −8.19509e6 7.22134e6i −1.17645 1.03666i
\(547\) 5.29104e6 5.29104e6i 0.756089 0.756089i −0.219519 0.975608i \(-0.570449\pi\)
0.975608 + 0.219519i \(0.0704489\pi\)
\(548\) −4.03475e6 + 511733.i −0.573939 + 0.0727934i
\(549\) 9.89531e6 + 9.89531e6i 1.40120 + 1.40120i
\(550\) −2.09378e6 + 132249.i −0.295138 + 0.0186417i
\(551\) 4.88544e6i 0.685528i
\(552\) −1.36737e7 + 2.61890e6i −1.91002 + 0.365823i
\(553\) 8.89422e6i 1.23679i
\(554\) 382628. + 6.05781e6i 0.0529666 + 0.838574i
\(555\) 1.70609e6 + 1.70609e6i 0.235109 + 0.235109i
\(556\) −231306. + 298503.i −0.0317322 + 0.0409507i
\(557\) −2.03827e6 + 2.03827e6i −0.278371 + 0.278371i −0.832458 0.554087i \(-0.813067\pi\)
0.554087 + 0.832458i \(0.313067\pi\)
\(558\) −7.67343e6 + 8.70813e6i −1.04329 + 1.18397i
\(559\) 1.18415e7 1.60279
\(560\) 1.30305e6 2.20832e6i 0.175587 0.297572i
\(561\) 1.17638e7 1.57812
\(562\) 785016. 890869.i 0.104843 0.118980i
\(563\) −6.46130e6 + 6.46130e6i −0.859111 + 0.859111i −0.991233 0.132123i \(-0.957821\pi\)
0.132123 + 0.991233i \(0.457821\pi\)
\(564\) −1.18713e7 9.19890e6i −1.57144 1.21769i
\(565\) −774520. 774520.i −0.102073 0.102073i
\(566\) 179363. + 2.83970e6i 0.0235338 + 0.372590i
\(567\) 2.07258e7i 2.70740i
\(568\) −7.79416e6 5.28847e6i −1.01367 0.687795i
\(569\) 3.86309e6i 0.500212i 0.968218 + 0.250106i \(0.0804655\pi\)
−0.968218 + 0.250106i \(0.919535\pi\)
\(570\) −7.20668e6 + 455193.i −0.929069 + 0.0586825i
\(571\) −3.01051e6 3.01051e6i −0.386411 0.386411i 0.486994 0.873405i \(-0.338093\pi\)
−0.873405 + 0.486994i \(0.838093\pi\)
\(572\) −1.54015e6 1.21433e7i −0.196822 1.55184i
\(573\) 1.48286e7 1.48286e7i 1.88675 1.88675i
\(574\) 1.62973e6 + 1.43609e6i 0.206460 + 0.181929i
\(575\) 1.60735e6 0.202741
\(576\) −1.98328e7 + 7.88641e6i −2.49074 + 0.990428i
\(577\) −6.06843e6 −0.758816 −0.379408 0.925229i \(-0.623872\pi\)
−0.379408 + 0.925229i \(0.623872\pi\)
\(578\) 4.16104e6 + 3.66662e6i 0.518063 + 0.456506i
\(579\) −1.65108e7 + 1.65108e7i −2.04678 + 2.04678i
\(580\) −288021. 2.27089e6i −0.0355511 0.280302i
\(581\) 6.20446e6 + 6.20446e6i 0.762542 + 0.762542i
\(582\) 9.65745e6 609991.i 1.18183 0.0746476i
\(583\) 1.23992e7i 1.51085i
\(584\) −5.61173e6 3.80765e6i −0.680871 0.461982i
\(585\) 1.04969e7i 1.26816i
\(586\) −719577. 1.13924e7i −0.0865631 1.37048i
\(587\) −8.94817e6 8.94817e6i −1.07186 1.07186i −0.997210 0.0746522i \(-0.976215\pi\)
−0.0746522 0.997210i \(-0.523785\pi\)
\(588\) 5.12491e6 + 3.97123e6i 0.611284 + 0.473677i
\(589\) 3.80307e6 3.80307e6i 0.451696 0.451696i
\(590\) 3.23640e6 3.67280e6i 0.382764 0.434377i
\(591\) −1.14447e7 −1.34783
\(592\) −2.84610e6 1.67939e6i −0.333769 0.196946i
\(593\) 6.63893e6 0.775285 0.387643 0.921810i \(-0.373289\pi\)
0.387643 + 0.921810i \(0.373289\pi\)
\(594\) 2.71008e7 3.07551e7i 3.15149 3.57645i
\(595\) 1.17375e6 1.17375e6i 0.135920 0.135920i
\(596\) 3.32701e6 4.29354e6i 0.383653 0.495108i
\(597\) −2.63266e6 2.63266e6i −0.302315 0.302315i
\(598\) 591169. + 9.35947e6i 0.0676019 + 1.07028i
\(599\) 1.55670e7i 1.77271i 0.463003 + 0.886357i \(0.346772\pi\)
−0.463003 + 0.886357i \(0.653228\pi\)
\(600\) 3.32303e6 636455.i 0.376840 0.0721755i
\(601\) 7.58219e6i 0.856265i −0.903716 0.428133i \(-0.859172\pi\)
0.903716 0.428133i \(-0.140828\pi\)
\(602\) 1.03873e7 656089.i 1.16818 0.0737856i
\(603\) 1.62349e7 + 1.62349e7i 1.81826 + 1.81826i
\(604\) −1.57203e6 + 199383.i −0.175335 + 0.0222380i
\(605\) −3.37753e6 + 3.37753e6i −0.375155 + 0.375155i
\(606\) −1.07540e7 9.47621e6i −1.18957 1.04822i
\(607\) 1.10026e7 1.21206 0.606030 0.795442i \(-0.292761\pi\)
0.606030 + 0.795442i \(0.292761\pi\)
\(608\) 9.40240e6 3.06787e6i 1.03152 0.336572i
\(609\) −8.57078e6 −0.936433
\(610\) 2.27965e6 + 2.00878e6i 0.248052 + 0.218578i
\(611\) −7.15337e6 + 7.15337e6i −0.775189 + 0.775189i
\(612\) −1.37073e7 + 1.73851e6i −1.47936 + 0.187629i
\(613\) −1.92065e6 1.92065e6i −0.206441 0.206441i 0.596312 0.802753i \(-0.296632\pi\)
−0.802753 + 0.596312i \(0.796632\pi\)
\(614\) −1.36128e7 + 859819.i −1.45722 + 0.0920421i
\(615\) 2.86628e6i 0.305585i
\(616\) −2.02382e6 1.05667e7i −0.214892 1.12198i
\(617\) 666574.i 0.0704913i −0.999379 0.0352456i \(-0.988779\pi\)
0.999379 0.0352456i \(-0.0112214\pi\)
\(618\) −1.74511e6 2.76288e7i −0.183803 2.90999i
\(619\) 776525. + 776525.i 0.0814571 + 0.0814571i 0.746661 0.665204i \(-0.231656\pi\)
−0.665204 + 0.746661i \(0.731656\pi\)
\(620\) −1.54357e6 + 1.99199e6i −0.161267 + 0.208117i
\(621\) −2.22074e7 + 2.22074e7i −2.31083 + 2.31083i
\(622\) 378578. 429627.i 0.0392355 0.0445262i
\(623\) −192691. −0.0198903
\(624\) 4.92821e6 + 1.91157e7i 0.506673 + 1.96530i
\(625\) −390625. −0.0400000
\(626\) −369530. + 419358.i −0.0376889 + 0.0427709i
\(627\) −2.14245e7 + 2.14245e7i −2.17642 + 2.17642i
\(628\) 5.12606e6 + 3.97212e6i 0.518662 + 0.401905i
\(629\) −1.51274e6 1.51274e6i −0.152453 0.152453i
\(630\) −581592. 9.20784e6i −0.0583804 0.924286i
\(631\) 8.87851e6i 0.887700i −0.896101 0.443850i \(-0.853612\pi\)
0.896101 0.443850i \(-0.146388\pi\)
\(632\) 9.02535e6 1.33016e7i 0.898817 1.32468i
\(633\) 3.14079e6i 0.311551i
\(634\) 1.30031e7 821313.i 1.28477 0.0811494i
\(635\) 2.66313e6 + 2.66313e6i 0.262095 + 0.262095i
\(636\) 2.51603e6 + 1.98376e7i 0.246646 + 1.94467i
\(637\) 3.08816e6 3.08816e6i 0.301545 0.301545i
\(638\) −7.20623e6 6.34998e6i −0.700901 0.617619i
\(639\) −3.38914e7 −3.28351
\(640\) −4.18964e6 + 1.98035e6i −0.404321 + 0.191114i
\(641\) 9.05119e6 0.870083 0.435041 0.900411i \(-0.356734\pi\)
0.435041 + 0.900411i \(0.356734\pi\)
\(642\) 8.65248e6 + 7.62439e6i 0.828520 + 0.730075i
\(643\) −1.05074e7 + 1.05074e7i −1.00224 + 1.00224i −0.00223776 + 0.999997i \(0.500712\pi\)
−0.999997 + 0.00223776i \(0.999288\pi\)
\(644\) 1.03714e6 + 8.17731e6i 0.0985422 + 0.776955i
\(645\) 9.71123e6 + 9.71123e6i 0.919126 + 0.919126i
\(646\) 6.38994e6 403606.i 0.602442 0.0380519i
\(647\) 1.63451e7i 1.53507i 0.641007 + 0.767535i \(0.278517\pi\)
−0.641007 + 0.767535i \(0.721483\pi\)
\(648\) −2.10313e7 + 3.09961e7i −1.96757 + 2.89981i
\(649\) 2.05401e7i 1.91422i
\(650\) −143668. 2.27458e6i −0.0133376 0.211163i
\(651\) 6.67192e6 + 6.67192e6i 0.617019 + 0.617019i
\(652\) −1.31858e7 1.02175e7i −1.21475 0.941298i
\(653\) −5.46500e6 + 5.46500e6i −0.501542 + 0.501542i −0.911917 0.410375i \(-0.865398\pi\)
0.410375 + 0.911917i \(0.365398\pi\)
\(654\) 1.32340e7 1.50185e7i 1.20989 1.37303i
\(655\) 6.77109e6 0.616674
\(656\) −980059. 3.80148e6i −0.0889186 0.344900i
\(657\) −2.44016e7 −2.20549
\(658\) −5.87855e6 + 6.67123e6i −0.529304 + 0.600677i
\(659\) 1.11299e7 1.11299e7i 0.998334 0.998334i −0.00166454 0.999999i \(-0.500530\pi\)
0.999999 + 0.00166454i \(0.000529840\pi\)
\(660\) 8.69564e6 1.12218e7i 0.777037 1.00277i
\(661\) 8.50684e6 + 8.50684e6i 0.757295 + 0.757295i 0.975829 0.218535i \(-0.0701277\pi\)
−0.218535 + 0.975829i \(0.570128\pi\)
\(662\) 522551. + 8.27309e6i 0.0463429 + 0.733707i
\(663\) 1.27796e7i 1.12910i
\(664\) −2.98304e6 1.55749e7i −0.262566 1.37090i
\(665\) 4.27531e6i 0.374898i
\(666\) −1.18672e7 + 749561.i −1.03672 + 0.0654819i
\(667\) 5.20340e6 + 5.20340e6i 0.452869 + 0.452869i
\(668\) −1.18598e7 + 1.50419e6i −1.02834 + 0.130426i
\(669\) 1.84771e7 1.84771e7i 1.59613 1.59613i
\(670\) 3.74013e6 + 3.29573e6i 0.321884 + 0.283638i
\(671\) 1.27489e7 1.09312
\(672\) 5.38212e6 + 1.64951e7i 0.459759 + 1.40907i
\(673\) 1.91012e7 1.62563 0.812816 0.582521i \(-0.197933\pi\)
0.812816 + 0.582521i \(0.197933\pi\)
\(674\) 6.57602e6 + 5.79466e6i 0.557588 + 0.491335i
\(675\) 5.39693e6 5.39693e6i 0.455919 0.455919i
\(676\) 1.40489e6 178184.i 0.118243 0.0149969i
\(677\) 1.35318e7 + 1.35318e7i 1.13470 + 1.13470i 0.989385 + 0.145319i \(0.0464209\pi\)
0.145319 + 0.989385i \(0.453579\pi\)
\(678\) 7.39726e6 467231.i 0.618012 0.0390353i
\(679\) 5.72921e6i 0.476892i
\(680\) −2.94643e6 + 564325.i −0.244357 + 0.0468012i
\(681\) 3.40408e7i 2.81276i
\(682\) 666546. + 1.05528e7i 0.0548743 + 0.868777i
\(683\) 4506.05 + 4506.05i 0.000369610 + 0.000369610i 0.707292 0.706922i \(-0.249917\pi\)
−0.706922 + 0.707292i \(0.749917\pi\)
\(684\) 2.17978e7 2.81302e7i 1.78144 2.29896i
\(685\) −2.24676e6 + 2.24676e6i −0.182949 + 0.182949i
\(686\) 8.83353e6 1.00247e7i 0.716678 0.813316i
\(687\) 2.70687e7 2.18814
\(688\) −1.62003e7 9.55923e6i −1.30482 0.769931i
\(689\) 1.34698e7 1.08097
\(690\) −7.19090e6 + 8.16053e6i −0.574990 + 0.652523i
\(691\) 8.92380e6 8.92380e6i 0.710976 0.710976i −0.255764 0.966739i \(-0.582327\pi\)
0.966739 + 0.255764i \(0.0823269\pi\)
\(692\) 50971.2 + 39497.0i 0.00404631 + 0.00313544i
\(693\) −2.73737e7 2.73737e7i −2.16521 2.16521i
\(694\) −313107. 4.95716e6i −0.0246771 0.390692i
\(695\) 295025.i 0.0231685i
\(696\) 1.28179e7 + 8.69714e6i 1.00298 + 0.680540i
\(697\) 2.54144e6i 0.198152i
\(698\) −1.68437e7 + 1.06389e6i −1.30858 + 0.0826531i
\(699\) −9.35755e6 9.35755e6i −0.724384 0.724384i
\(700\) −252050. 1.98728e6i −0.0194420 0.153290i
\(701\) 5.86907e6 5.86907e6i 0.451101 0.451101i −0.444619 0.895720i \(-0.646661\pi\)
0.895720 + 0.444619i \(0.146661\pi\)
\(702\) 3.34108e7 + 2.94409e7i 2.55885 + 2.25480i
\(703\) 5.51006e6 0.420502
\(704\) −7.69578e6 + 1.78565e7i −0.585222 + 1.35789i
\(705\) −1.17330e7 −0.889069
\(706\) 1.23370e7 + 1.08711e7i 0.931534 + 0.820848i
\(707\) −6.00071e6 + 6.00071e6i −0.451496 + 0.451496i
\(708\) 4.16799e6 + 3.28624e7i 0.312495 + 2.46386i
\(709\) 1.26108e7 + 1.26108e7i 0.942166 + 0.942166i 0.998417 0.0562506i \(-0.0179146\pi\)
−0.0562506 + 0.998417i \(0.517915\pi\)
\(710\) −7.34393e6 + 463862.i −0.546742 + 0.0345337i
\(711\) 5.78395e7i 4.29092i
\(712\) 288176. + 195532.i 0.0213038 + 0.0144550i
\(713\) 8.10118e6i 0.596794i
\(714\) 708066. + 1.12102e7i 0.0519790 + 0.822939i
\(715\) −6.76202e6 6.76202e6i −0.494665 0.494665i
\(716\) 6.13691e6 + 4.75542e6i 0.447370 + 0.346662i
\(717\) 1.64864e7 1.64864e7i 1.19765 1.19765i
\(718\) −1.20586e6 + 1.36846e6i −0.0872941 + 0.0990651i
\(719\) −2.40190e7 −1.73274 −0.866368 0.499407i \(-0.833551\pi\)
−0.866368 + 0.499407i \(0.833551\pi\)
\(720\) −8.47381e6 + 1.43608e7i −0.609182 + 1.03240i
\(721\) −1.63906e7 −1.17424
\(722\) −1.64208e6 + 1.86350e6i −0.117233 + 0.133041i
\(723\) 2.48567e7 2.48567e7i 1.76847 1.76847i
\(724\) 5.26542e6 6.79507e6i 0.373325 0.481779i
\(725\) −1.26455e6 1.26455e6i −0.0893495 0.0893495i
\(726\) −2.03750e6 3.22580e7i −0.143469 2.27141i
\(727\) 1.69795e7i 1.19149i 0.803175 + 0.595743i \(0.203142\pi\)
−0.803175 + 0.595743i \(0.796858\pi\)
\(728\) 1.14791e7 2.19857e6i 0.802748 0.153749i
\(729\) 4.60361e7i 3.20834i
\(730\) −5.28757e6 + 333977.i −0.367239 + 0.0231958i
\(731\) −8.61065e6 8.61065e6i −0.595995 0.595995i
\(732\) −2.03972e7 + 2.58700e6i −1.40699 + 0.178451i
\(733\) 6.03684e6 6.03684e6i 0.415001 0.415001i −0.468475 0.883477i \(-0.655196\pi\)
0.883477 + 0.468475i \(0.155196\pi\)
\(734\) 2.29385e6 + 2.02130e6i 0.157154 + 0.138481i
\(735\) 5.06521e6 0.345843
\(736\) 6.74680e6 1.32819e7i 0.459096 0.903784i
\(737\) 2.09167e7 1.41848
\(738\) −1.05982e7 9.33895e6i −0.716296 0.631185i
\(739\) 6.99975e6 6.99975e6i 0.471489 0.471489i −0.430908 0.902396i \(-0.641806\pi\)
0.902396 + 0.430908i \(0.141806\pi\)
\(740\) −2.56123e6 + 324844.i −0.171937 + 0.0218070i
\(741\) −2.32745e7 2.32745e7i −1.55716 1.55716i
\(742\) 1.18156e7 746308.i 0.787858 0.0497632i
\(743\) 1.72605e7i 1.14705i −0.819188 0.573525i \(-0.805575\pi\)
0.819188 0.573525i \(-0.194425\pi\)
\(744\) −3.20779e6 1.67484e7i −0.212458 1.10928i
\(745\) 4.24352e6i 0.280115i
\(746\) 895578. + 1.41789e7i 0.0589191 + 0.932815i
\(747\) −4.03479e7 4.03479e7i −2.64557 2.64557i
\(748\) −7.71016e6 + 9.95002e6i −0.503859 + 0.650235i
\(749\) 4.82806e6 4.82806e6i 0.314462 0.314462i
\(750\) 1.74756e6 1.98321e6i 0.113443 0.128740i
\(751\) −2.57275e7 −1.66455 −0.832277 0.554360i \(-0.812963\pi\)
−0.832277 + 0.554360i \(0.812963\pi\)
\(752\) 1.55611e7 4.01182e6i 1.00345 0.258700i
\(753\) 3.54739e7 2.27993
\(754\) 6.89830e6 7.82848e6i 0.441889 0.501475i
\(755\) −875391. + 875391.i −0.0558901 + 0.0558901i
\(756\) 3.09389e7 + 2.39742e7i 1.96880 + 1.52560i
\(757\) 6.50319e6 + 6.50319e6i 0.412464 + 0.412464i 0.882596 0.470132i \(-0.155794\pi\)
−0.470132 + 0.882596i \(0.655794\pi\)
\(758\) 1.23021e6 + 1.94768e7i 0.0777688 + 1.23125i
\(759\) 4.56378e7i 2.87554i
\(760\) 4.33834e6 6.39386e6i 0.272452 0.401540i
\(761\) 1.22816e7i 0.768766i −0.923174 0.384383i \(-0.874414\pi\)
0.923174 0.384383i \(-0.125586\pi\)
\(762\) −2.54349e7 + 1.60654e6i −1.58688 + 0.100231i
\(763\) −8.38026e6 <