Properties

Label 80.6.l.a.21.9
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 21.9
Character \(\chi\) \(=\) 80.21
Dual form 80.6.l.a.61.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.43266 + 3.51447i) q^{2} +(11.6877 - 11.6877i) q^{3} +(7.29694 - 31.1569i) q^{4} +(-17.6777 - 17.6777i) q^{5} +(-10.7314 + 92.8834i) q^{6} +158.930i q^{7} +(77.1554 + 163.753i) q^{8} -30.2029i q^{9} +O(q^{10})\) \(q+(-4.43266 + 3.51447i) q^{2} +(11.6877 - 11.6877i) q^{3} +(7.29694 - 31.1569i) q^{4} +(-17.6777 - 17.6777i) q^{5} +(-10.7314 + 92.8834i) q^{6} +158.930i q^{7} +(77.1554 + 163.753i) q^{8} -30.2029i q^{9} +(140.487 + 16.2314i) q^{10} +(137.400 + 137.400i) q^{11} +(-278.868 - 449.436i) q^{12} +(743.018 - 743.018i) q^{13} +(-558.556 - 704.484i) q^{14} -413.221 q^{15} +(-917.509 - 454.701i) q^{16} +648.336 q^{17} +(106.147 + 133.879i) q^{18} +(1213.14 - 1213.14i) q^{19} +(-679.775 + 421.789i) q^{20} +(1857.52 + 1857.52i) q^{21} +(-1091.94 - 126.159i) q^{22} -2611.61i q^{23} +(2815.66 + 1012.12i) q^{24} +625.000i q^{25} +(-682.228 + 5904.86i) q^{26} +(2487.10 + 2487.10i) q^{27} +(4951.78 + 1159.70i) q^{28} +(2546.27 - 2546.27i) q^{29} +(1831.67 - 1452.26i) q^{30} +1694.67 q^{31} +(5665.04 - 1209.03i) q^{32} +3211.78 q^{33} +(-2873.85 + 2278.56i) q^{34} +(2809.52 - 2809.52i) q^{35} +(-941.031 - 220.389i) q^{36} +(-351.582 - 351.582i) q^{37} +(-1113.89 + 9641.02i) q^{38} -17368.3i q^{39} +(1530.84 - 4258.70i) q^{40} +11567.5i q^{41} +(-14762.0 - 1705.55i) q^{42} +(4162.74 + 4162.74i) q^{43} +(5283.57 - 3278.37i) q^{44} +(-533.917 + 533.917i) q^{45} +(9178.43 + 11576.4i) q^{46} -15044.7 q^{47} +(-16037.9 + 5409.15i) q^{48} -8451.82 q^{49} +(-2196.55 - 2770.41i) q^{50} +(7577.54 - 7577.54i) q^{51} +(-17728.4 - 28571.9i) q^{52} +(-13648.4 - 13648.4i) q^{53} +(-19765.3 - 2283.62i) q^{54} -4857.83i q^{55} +(-26025.3 + 12262.3i) q^{56} -28357.7i q^{57} +(-2337.95 + 20235.6i) q^{58} +(20038.2 + 20038.2i) q^{59} +(-3015.25 + 12874.7i) q^{60} +(8716.26 - 8716.26i) q^{61} +(-7511.89 + 5955.87i) q^{62} +4800.16 q^{63} +(-20862.1 + 25268.9i) q^{64} -26269.7 q^{65} +(-14236.7 + 11287.7i) q^{66} +(47288.8 - 47288.8i) q^{67} +(4730.87 - 20200.2i) q^{68} +(-30523.6 - 30523.6i) q^{69} +(-2579.66 + 22327.6i) q^{70} +80382.1i q^{71} +(4945.82 - 2330.32i) q^{72} -21977.6i q^{73} +(2794.07 + 322.817i) q^{74} +(7304.79 + 7304.79i) q^{75} +(-28945.6 - 46650.1i) q^{76} +(-21837.1 + 21837.1i) q^{77} +(61040.4 + 76987.7i) q^{78} +84815.5 q^{79} +(8181.38 + 24257.5i) q^{80} +65476.1 q^{81} +(-40653.8 - 51275.0i) q^{82} +(-34172.2 + 34172.2i) q^{83} +(71429.0 - 44320.5i) q^{84} +(-11461.1 - 11461.1i) q^{85} +(-33081.8 - 3822.16i) q^{86} -59520.0i q^{87} +(-11898.5 + 33100.9i) q^{88} +121103. i q^{89} +(490.235 - 4243.11i) q^{90} +(118088. + 118088. i) q^{91} +(-81369.7 - 19056.7i) q^{92} +(19806.7 - 19806.7i) q^{93} +(66688.0 - 52874.2i) q^{94} -42891.1 q^{95} +(52080.3 - 80341.8i) q^{96} -132139. q^{97} +(37464.1 - 29703.7i) q^{98} +(4149.89 - 4149.89i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.43266 + 3.51447i −0.783591 + 0.621277i
\(3\) 11.6877 11.6877i 0.749764 0.749764i −0.224671 0.974435i \(-0.572131\pi\)
0.974435 + 0.224671i \(0.0721307\pi\)
\(4\) 7.29694 31.1569i 0.228029 0.973654i
\(5\) −17.6777 17.6777i −0.316228 0.316228i
\(6\) −10.7314 + 92.8834i −0.121697 + 1.05332i
\(7\) 158.930i 1.22592i 0.790115 + 0.612959i \(0.210021\pi\)
−0.790115 + 0.612959i \(0.789979\pi\)
\(8\) 77.1554 + 163.753i 0.426227 + 0.904616i
\(9\) 30.2029i 0.124292i
\(10\) 140.487 + 16.2314i 0.444258 + 0.0513281i
\(11\) 137.400 + 137.400i 0.342378 + 0.342378i 0.857261 0.514883i \(-0.172165\pi\)
−0.514883 + 0.857261i \(0.672165\pi\)
\(12\) −278.868 449.436i −0.559043 0.900979i
\(13\) 743.018 743.018i 1.21939 1.21939i 0.251538 0.967847i \(-0.419064\pi\)
0.967847 0.251538i \(-0.0809363\pi\)
\(14\) −558.556 704.484i −0.761635 0.960618i
\(15\) −413.221 −0.474192
\(16\) −917.509 454.701i −0.896005 0.444043i
\(17\) 648.336 0.544099 0.272050 0.962283i \(-0.412299\pi\)
0.272050 + 0.962283i \(0.412299\pi\)
\(18\) 106.147 + 133.879i 0.0772197 + 0.0973940i
\(19\) 1213.14 1213.14i 0.770954 0.770954i −0.207319 0.978273i \(-0.566474\pi\)
0.978273 + 0.207319i \(0.0664739\pi\)
\(20\) −679.775 + 421.789i −0.380006 + 0.235787i
\(21\) 1857.52 + 1857.52i 0.919149 + 0.919149i
\(22\) −1091.94 126.159i −0.480996 0.0555726i
\(23\) 2611.61i 1.02941i −0.857367 0.514705i \(-0.827901\pi\)
0.857367 0.514705i \(-0.172099\pi\)
\(24\) 2815.66 + 1012.12i 0.997818 + 0.358679i
\(25\) 625.000i 0.200000i
\(26\) −682.228 + 5904.86i −0.197923 + 1.71308i
\(27\) 2487.10 + 2487.10i 0.656574 + 0.656574i
\(28\) 4951.78 + 1159.70i 1.19362 + 0.279545i
\(29\) 2546.27 2546.27i 0.562225 0.562225i −0.367714 0.929939i \(-0.619859\pi\)
0.929939 + 0.367714i \(0.119859\pi\)
\(30\) 1831.67 1452.26i 0.371573 0.294605i
\(31\) 1694.67 0.316724 0.158362 0.987381i \(-0.449379\pi\)
0.158362 + 0.987381i \(0.449379\pi\)
\(32\) 5665.04 1209.03i 0.977976 0.208719i
\(33\) 3211.78 0.513405
\(34\) −2873.85 + 2278.56i −0.426351 + 0.338036i
\(35\) 2809.52 2809.52i 0.387669 0.387669i
\(36\) −941.031 220.389i −0.121017 0.0283422i
\(37\) −351.582 351.582i −0.0422204 0.0422204i 0.685681 0.727902i \(-0.259504\pi\)
−0.727902 + 0.685681i \(0.759504\pi\)
\(38\) −1113.89 + 9641.02i −0.125136 + 1.08309i
\(39\) 17368.3i 1.82850i
\(40\) 1530.84 4258.70i 0.151280 0.420850i
\(41\) 11567.5i 1.07469i 0.843364 + 0.537343i \(0.180572\pi\)
−0.843364 + 0.537343i \(0.819428\pi\)
\(42\) −14762.0 1705.55i −1.29128 0.149191i
\(43\) 4162.74 + 4162.74i 0.343327 + 0.343327i 0.857617 0.514290i \(-0.171944\pi\)
−0.514290 + 0.857617i \(0.671944\pi\)
\(44\) 5283.57 3278.37i 0.411430 0.255286i
\(45\) −533.917 + 533.917i −0.0393046 + 0.0393046i
\(46\) 9178.43 + 11576.4i 0.639549 + 0.806636i
\(47\) −15044.7 −0.993434 −0.496717 0.867913i \(-0.665461\pi\)
−0.496717 + 0.867913i \(0.665461\pi\)
\(48\) −16037.9 + 5409.15i −1.00472 + 0.338865i
\(49\) −8451.82 −0.502875
\(50\) −2196.55 2770.41i −0.124255 0.156718i
\(51\) 7577.54 7577.54i 0.407946 0.407946i
\(52\) −17728.4 28571.9i −0.909204 1.46532i
\(53\) −13648.4 13648.4i −0.667411 0.667411i 0.289705 0.957116i \(-0.406443\pi\)
−0.957116 + 0.289705i \(0.906443\pi\)
\(54\) −19765.3 2283.62i −0.922400 0.106571i
\(55\) 4857.83i 0.216539i
\(56\) −26025.3 + 12262.3i −1.10899 + 0.522520i
\(57\) 28357.7i 1.15607i
\(58\) −2337.95 + 20235.6i −0.0912568 + 0.789852i
\(59\) 20038.2 + 20038.2i 0.749425 + 0.749425i 0.974371 0.224946i \(-0.0722207\pi\)
−0.224946 + 0.974371i \(0.572221\pi\)
\(60\) −3015.25 + 12874.7i −0.108130 + 0.461699i
\(61\) 8716.26 8716.26i 0.299920 0.299920i −0.541062 0.840982i \(-0.681978\pi\)
0.840982 + 0.541062i \(0.181978\pi\)
\(62\) −7511.89 + 5955.87i −0.248182 + 0.196773i
\(63\) 4800.16 0.152372
\(64\) −20862.1 + 25268.9i −0.636660 + 0.771144i
\(65\) −26269.7 −0.771207
\(66\) −14236.7 + 11287.7i −0.402300 + 0.318967i
\(67\) 47288.8 47288.8i 1.28698 1.28698i 0.350363 0.936614i \(-0.386058\pi\)
0.936614 0.350363i \(-0.113942\pi\)
\(68\) 4730.87 20200.2i 0.124071 0.529765i
\(69\) −30523.6 30523.6i −0.771814 0.771814i
\(70\) −2579.66 + 22327.6i −0.0629241 + 0.544624i
\(71\) 80382.1i 1.89240i 0.323578 + 0.946202i \(0.395114\pi\)
−0.323578 + 0.946202i \(0.604886\pi\)
\(72\) 4945.82 2330.32i 0.112436 0.0529766i
\(73\) 21977.6i 0.482696i −0.970439 0.241348i \(-0.922410\pi\)
0.970439 0.241348i \(-0.0775896\pi\)
\(74\) 2794.07 + 322.817i 0.0593141 + 0.00685295i
\(75\) 7304.79 + 7304.79i 0.149953 + 0.149953i
\(76\) −28945.6 46650.1i −0.574843 0.926443i
\(77\) −21837.1 + 21837.1i −0.419727 + 0.419727i
\(78\) 61040.4 + 76987.7i 1.13601 + 1.43280i
\(79\) 84815.5 1.52900 0.764500 0.644623i \(-0.222986\pi\)
0.764500 + 0.644623i \(0.222986\pi\)
\(80\) 8181.38 + 24257.5i 0.142923 + 0.423761i
\(81\) 65476.1 1.10884
\(82\) −40653.8 51275.0i −0.667677 0.842114i
\(83\) −34172.2 + 34172.2i −0.544474 + 0.544474i −0.924837 0.380363i \(-0.875799\pi\)
0.380363 + 0.924837i \(0.375799\pi\)
\(84\) 71429.0 44320.5i 1.10453 0.685341i
\(85\) −11461.1 11461.1i −0.172059 0.172059i
\(86\) −33081.8 3822.16i −0.482329 0.0557267i
\(87\) 59520.0i 0.843072i
\(88\) −11898.5 + 33100.9i −0.163790 + 0.455651i
\(89\) 121103.i 1.62061i 0.586008 + 0.810305i \(0.300699\pi\)
−0.586008 + 0.810305i \(0.699301\pi\)
\(90\) 490.235 4243.11i 0.00637967 0.0552177i
\(91\) 118088. + 118088.i 1.49487 + 1.49487i
\(92\) −81369.7 19056.7i −1.00229 0.234736i
\(93\) 19806.7 19806.7i 0.237468 0.237468i
\(94\) 66688.0 52874.2i 0.778446 0.617198i
\(95\) −42891.1 −0.487594
\(96\) 52080.3 80341.8i 0.576761 0.889741i
\(97\) −132139. −1.42595 −0.712973 0.701191i \(-0.752652\pi\)
−0.712973 + 0.701191i \(0.752652\pi\)
\(98\) 37464.1 29703.7i 0.394048 0.312425i
\(99\) 4149.89 4149.89i 0.0425548 0.0425548i
\(100\) 19473.1 + 4560.59i 0.194731 + 0.0456059i
\(101\) −119734. 119734.i −1.16792 1.16792i −0.982696 0.185226i \(-0.940698\pi\)
−0.185226 0.982696i \(-0.559302\pi\)
\(102\) −6957.58 + 60219.7i −0.0662152 + 0.573110i
\(103\) 155299.i 1.44237i −0.692743 0.721184i \(-0.743598\pi\)
0.692743 0.721184i \(-0.256402\pi\)
\(104\) 178999. + 64343.6i 1.62281 + 0.583340i
\(105\) 65673.4i 0.581321i
\(106\) 108466. + 12531.8i 0.937625 + 0.108330i
\(107\) 12010.2 + 12010.2i 0.101412 + 0.101412i 0.755993 0.654580i \(-0.227155\pi\)
−0.654580 + 0.755993i \(0.727155\pi\)
\(108\) 95638.6 59342.2i 0.788995 0.489558i
\(109\) −168077. + 168077.i −1.35501 + 1.35501i −0.475052 + 0.879958i \(0.657571\pi\)
−0.879958 + 0.475052i \(0.842429\pi\)
\(110\) 17072.7 + 21533.1i 0.134531 + 0.169678i
\(111\) −8218.34 −0.0633106
\(112\) 72265.7 145820.i 0.544361 1.09843i
\(113\) −81941.5 −0.603682 −0.301841 0.953358i \(-0.597601\pi\)
−0.301841 + 0.953358i \(0.597601\pi\)
\(114\) 99662.2 + 125700.i 0.718238 + 0.905884i
\(115\) −46167.1 + 46167.1i −0.325528 + 0.325528i
\(116\) −60754.1 97914.1i −0.419209 0.675616i
\(117\) −22441.3 22441.3i −0.151560 0.151560i
\(118\) −159246. 18398.7i −1.05284 0.121642i
\(119\) 103040.i 0.667021i
\(120\) −31882.3 67666.2i −0.202114 0.428962i
\(121\) 123293.i 0.765555i
\(122\) −8003.14 + 69269.3i −0.0486811 + 0.421348i
\(123\) 135197. + 135197.i 0.805760 + 0.805760i
\(124\) 12365.9 52800.7i 0.0722223 0.308379i
\(125\) 11048.5 11048.5i 0.0632456 0.0632456i
\(126\) −21277.5 + 16870.0i −0.119397 + 0.0946651i
\(127\) −48898.8 −0.269023 −0.134511 0.990912i \(-0.542946\pi\)
−0.134511 + 0.990912i \(0.542946\pi\)
\(128\) 3667.77 185328.i 0.0197869 0.999804i
\(129\) 97305.3 0.514828
\(130\) 116444. 92324.0i 0.604311 0.479133i
\(131\) −5646.44 + 5646.44i −0.0287472 + 0.0287472i −0.721334 0.692587i \(-0.756471\pi\)
0.692587 + 0.721334i \(0.256471\pi\)
\(132\) 23436.1 100069.i 0.117071 0.499879i
\(133\) 192805. + 192805.i 0.945127 + 0.945127i
\(134\) −43419.8 + 375810.i −0.208894 + 1.80803i
\(135\) 87932.3i 0.415254i
\(136\) 50022.7 + 106167.i 0.231910 + 0.492201i
\(137\) 125451.i 0.571048i 0.958372 + 0.285524i \(0.0921677\pi\)
−0.958372 + 0.285524i \(0.907832\pi\)
\(138\) 242575. + 28026.3i 1.08430 + 0.125276i
\(139\) −49824.7 49824.7i −0.218730 0.218730i 0.589233 0.807963i \(-0.299430\pi\)
−0.807963 + 0.589233i \(0.799430\pi\)
\(140\) −67035.1 108037.i −0.289056 0.465856i
\(141\) −175837. + 175837.i −0.744841 + 0.744841i
\(142\) −282501. 356307.i −1.17571 1.48287i
\(143\) 204182. 0.834981
\(144\) −13733.3 + 27711.5i −0.0551910 + 0.111366i
\(145\) −90024.4 −0.355582
\(146\) 77239.9 + 97419.4i 0.299888 + 0.378236i
\(147\) −98782.1 + 98782.1i −0.377038 + 0.377038i
\(148\) −13519.7 + 8388.74i −0.0507355 + 0.0314806i
\(149\) 59822.8 + 59822.8i 0.220750 + 0.220750i 0.808814 0.588064i \(-0.200110\pi\)
−0.588064 + 0.808814i \(0.700110\pi\)
\(150\) −58052.1 6707.15i −0.210664 0.0243394i
\(151\) 43983.6i 0.156981i 0.996915 + 0.0784907i \(0.0250101\pi\)
−0.996915 + 0.0784907i \(0.974990\pi\)
\(152\) 292257. + 105055.i 1.02602 + 0.368816i
\(153\) 19581.7i 0.0676271i
\(154\) 20050.5 173542.i 0.0681275 0.589661i
\(155\) −29957.8 29957.8i −0.100157 0.100157i
\(156\) −541143. 126735.i −1.78033 0.416952i
\(157\) −307828. + 307828.i −0.996688 + 0.996688i −0.999995 0.00330636i \(-0.998948\pi\)
0.00330636 + 0.999995i \(0.498948\pi\)
\(158\) −375958. + 298082.i −1.19811 + 0.949933i
\(159\) −319037. −1.00080
\(160\) −121518. 78771.9i −0.375266 0.243260i
\(161\) 415063. 1.26197
\(162\) −290233. + 230114.i −0.868880 + 0.688899i
\(163\) 93121.7 93121.7i 0.274525 0.274525i −0.556394 0.830919i \(-0.687815\pi\)
0.830919 + 0.556394i \(0.187815\pi\)
\(164\) 360409. + 84407.6i 1.04637 + 0.245060i
\(165\) −56776.7 56776.7i −0.162353 0.162353i
\(166\) 31376.4 271571.i 0.0883756 0.764915i
\(167\) 435223.i 1.20759i −0.797138 0.603797i \(-0.793654\pi\)
0.797138 0.603797i \(-0.206346\pi\)
\(168\) −160857. + 447493.i −0.439710 + 1.22324i
\(169\) 732859.i 1.97380i
\(170\) 91082.7 + 10523.4i 0.241721 + 0.0279276i
\(171\) −36640.5 36640.5i −0.0958234 0.0958234i
\(172\) 160073. 99322.9i 0.412570 0.255993i
\(173\) −330292. + 330292.i −0.839039 + 0.839039i −0.988732 0.149693i \(-0.952171\pi\)
0.149693 + 0.988732i \(0.452171\pi\)
\(174\) 209181. + 263832.i 0.523781 + 0.660623i
\(175\) −99331.4 −0.245184
\(176\) −63590.0 188542.i −0.154742 0.458803i
\(177\) 468399. 1.12378
\(178\) −425612. 536807.i −1.00685 1.26990i
\(179\) −131457. + 131457.i −0.306656 + 0.306656i −0.843611 0.536955i \(-0.819575\pi\)
0.536955 + 0.843611i \(0.319575\pi\)
\(180\) 12739.3 + 20531.2i 0.0293065 + 0.0472316i
\(181\) −252957. 252957.i −0.573918 0.573918i 0.359303 0.933221i \(-0.383015\pi\)
−0.933221 + 0.359303i \(0.883015\pi\)
\(182\) −938462. 108427.i −2.10009 0.242637i
\(183\) 203745.i 0.449739i
\(184\) 427659. 201500.i 0.931221 0.438763i
\(185\) 12430.3i 0.0267025i
\(186\) −18186.2 + 157407.i −0.0385443 + 0.333611i
\(187\) 89081.6 + 89081.6i 0.186288 + 0.186288i
\(188\) −109780. + 468747.i −0.226532 + 0.967261i
\(189\) −395275. + 395275.i −0.804906 + 0.804906i
\(190\) 190122. 150740.i 0.382074 0.302931i
\(191\) 156118. 0.309648 0.154824 0.987942i \(-0.450519\pi\)
0.154824 + 0.987942i \(0.450519\pi\)
\(192\) 51504.9 + 539163.i 0.100831 + 1.05552i
\(193\) 879287. 1.69917 0.849586 0.527450i \(-0.176852\pi\)
0.849586 + 0.527450i \(0.176852\pi\)
\(194\) 585729. 464401.i 1.11736 0.885908i
\(195\) −307031. + 307031.i −0.578223 + 0.578223i
\(196\) −61672.5 + 263333.i −0.114670 + 0.489627i
\(197\) −395423. 395423.i −0.725934 0.725934i 0.243874 0.969807i \(-0.421582\pi\)
−0.969807 + 0.243874i \(0.921582\pi\)
\(198\) −3810.37 + 32979.7i −0.00690723 + 0.0597839i
\(199\) 193051.i 0.345573i −0.984959 0.172787i \(-0.944723\pi\)
0.984959 0.172787i \(-0.0552771\pi\)
\(200\) −102346. + 48222.1i −0.180923 + 0.0852455i
\(201\) 1.10539e6i 1.92986i
\(202\) 951542. + 109938.i 1.64078 + 0.189570i
\(203\) 404680. + 404680.i 0.689242 + 0.689242i
\(204\) −180800. 291386.i −0.304175 0.490222i
\(205\) 204487. 204487.i 0.339845 0.339845i
\(206\) 545795. + 688389.i 0.896111 + 1.13023i
\(207\) −78878.2 −0.127947
\(208\) −1.01958e6 + 343875.i −1.63404 + 0.551116i
\(209\) 333373. 0.527915
\(210\) 230807. + 291108.i 0.361161 + 0.455518i
\(211\) −42750.3 + 42750.3i −0.0661049 + 0.0661049i −0.739386 0.673281i \(-0.764884\pi\)
0.673281 + 0.739386i \(0.264884\pi\)
\(212\) −524836. + 325652.i −0.802017 + 0.497639i
\(213\) 939479. + 939479.i 1.41886 + 1.41886i
\(214\) −95446.7 11027.6i −0.142471 0.0164606i
\(215\) 147175.i 0.217139i
\(216\) −215377. + 599163.i −0.314098 + 0.873798i
\(217\) 269334.i 0.388277i
\(218\) 154326. 1.33573e6i 0.219937 1.90361i
\(219\) −256867. 256867.i −0.361908 0.361908i
\(220\) −151355. 35447.3i −0.210834 0.0493772i
\(221\) 481726. 481726.i 0.663467 0.663467i
\(222\) 36429.1 28883.1i 0.0496096 0.0393335i
\(223\) 415872. 0.560012 0.280006 0.959998i \(-0.409664\pi\)
0.280006 + 0.959998i \(0.409664\pi\)
\(224\) 192152. + 900346.i 0.255873 + 1.19892i
\(225\) 18876.8 0.0248584
\(226\) 363219. 287981.i 0.473039 0.375054i
\(227\) 315776. 315776.i 0.406738 0.406738i −0.473861 0.880599i \(-0.657140\pi\)
0.880599 + 0.473861i \(0.157140\pi\)
\(228\) −883538. 206924.i −1.12561 0.263617i
\(229\) −378838. 378838.i −0.477381 0.477381i 0.426912 0.904293i \(-0.359601\pi\)
−0.904293 + 0.426912i \(0.859601\pi\)
\(230\) 42390.0 366896.i 0.0528377 0.457324i
\(231\) 510448.i 0.629393i
\(232\) 613419. + 220501.i 0.748233 + 0.268962i
\(233\) 30826.5i 0.0371992i −0.999827 0.0185996i \(-0.994079\pi\)
0.999827 0.0185996i \(-0.00592078\pi\)
\(234\) 178344. + 20605.3i 0.212921 + 0.0246002i
\(235\) 265955. + 265955.i 0.314151 + 0.314151i
\(236\) 770545. 478111.i 0.900572 0.558790i
\(237\) 991295. 991295.i 1.14639 1.14639i
\(238\) −362132. 456742.i −0.414405 0.522672i
\(239\) −1.41615e6 −1.60367 −0.801836 0.597544i \(-0.796143\pi\)
−0.801836 + 0.597544i \(0.796143\pi\)
\(240\) 379134. + 187892.i 0.424879 + 0.210562i
\(241\) 479173. 0.531434 0.265717 0.964051i \(-0.414391\pi\)
0.265717 + 0.964051i \(0.414391\pi\)
\(242\) 433311. + 546517.i 0.475622 + 0.599882i
\(243\) 160897. 160897.i 0.174796 0.174796i
\(244\) −207970. 335174.i −0.223628 0.360409i
\(245\) 149409. + 149409.i 0.159023 + 0.159023i
\(246\) −1.07443e6 124136.i −1.13199 0.130786i
\(247\) 1.80278e6i 1.88018i
\(248\) 130753. + 277507.i 0.134996 + 0.286513i
\(249\) 798786.i 0.816454i
\(250\) −10144.6 + 87804.3i −0.0102656 + 0.0888517i
\(251\) 1.07714e6 + 1.07714e6i 1.07917 + 1.07917i 0.996584 + 0.0825809i \(0.0263163\pi\)
0.0825809 + 0.996584i \(0.473684\pi\)
\(252\) 35026.5 149558.i 0.0347452 0.148357i
\(253\) 358835. 358835.i 0.352447 0.352447i
\(254\) 216752. 171854.i 0.210804 0.167138i
\(255\) −267906. −0.258008
\(256\) 635071. + 834384.i 0.605651 + 0.795731i
\(257\) −687917. −0.649685 −0.324843 0.945768i \(-0.605311\pi\)
−0.324843 + 0.945768i \(0.605311\pi\)
\(258\) −431321. + 341977.i −0.403415 + 0.319851i
\(259\) 55877.0 55877.0i 0.0517587 0.0517587i
\(260\) −191688. + 818482.i −0.175858 + 0.750889i
\(261\) −76904.9 76904.9i −0.0698800 0.0698800i
\(262\) 5184.47 44873.0i 0.00466607 0.0403861i
\(263\) 742587.i 0.662000i −0.943631 0.331000i \(-0.892614\pi\)
0.943631 0.331000i \(-0.107386\pi\)
\(264\) 247806. + 525938.i 0.218827 + 0.464435i
\(265\) 482546.i 0.422108i
\(266\) −1.53225e6 177031.i −1.32778 0.153407i
\(267\) 1.41541e6 + 1.41541e6i 1.21508 + 1.21508i
\(268\) −1.12831e6 1.81844e6i −0.959602 1.54654i
\(269\) −1.01173e6 + 1.01173e6i −0.852481 + 0.852481i −0.990438 0.137957i \(-0.955946\pi\)
0.137957 + 0.990438i \(0.455946\pi\)
\(270\) 309036. + 389774.i 0.257988 + 0.325389i
\(271\) −539293. −0.446068 −0.223034 0.974811i \(-0.571596\pi\)
−0.223034 + 0.974811i \(0.571596\pi\)
\(272\) −594855. 294799.i −0.487516 0.241604i
\(273\) 2.76035e6 2.24159
\(274\) −440894. 556082.i −0.354779 0.447468i
\(275\) −85875.1 + 85875.1i −0.0684756 + 0.0684756i
\(276\) −1.17375e6 + 728293.i −0.927477 + 0.575484i
\(277\) 1.64818e6 + 1.64818e6i 1.29064 + 1.29064i 0.934391 + 0.356249i \(0.115944\pi\)
0.356249 + 0.934391i \(0.384056\pi\)
\(278\) 395964. + 45748.3i 0.307286 + 0.0355028i
\(279\) 51183.9i 0.0393662i
\(280\) 676836. + 243297.i 0.515927 + 0.185457i
\(281\) 899791.i 0.679792i 0.940463 + 0.339896i \(0.110392\pi\)
−0.940463 + 0.339896i \(0.889608\pi\)
\(282\) 161451. 1.39740e6i 0.120898 1.04640i
\(283\) −1.75527e6 1.75527e6i −1.30280 1.30280i −0.926498 0.376301i \(-0.877196\pi\)
−0.376301 0.926498i \(-0.622804\pi\)
\(284\) 2.50446e6 + 586544.i 1.84255 + 0.431523i
\(285\) −501297. + 501297.i −0.365581 + 0.365581i
\(286\) −905068. + 717591.i −0.654284 + 0.518755i
\(287\) −1.83843e6 −1.31748
\(288\) −36516.3 171101.i −0.0259421 0.121554i
\(289\) −999517. −0.703956
\(290\) 399047. 316388.i 0.278631 0.220915i
\(291\) −1.54440e6 + 1.54440e6i −1.06912 + 1.06912i
\(292\) −684756. 160370.i −0.469979 0.110069i
\(293\) −1.45385e6 1.45385e6i −0.989350 0.989350i 0.0105935 0.999944i \(-0.496628\pi\)
−0.999944 + 0.0105935i \(0.996628\pi\)
\(294\) 90700.2 785034.i 0.0611984 0.529688i
\(295\) 708456.i 0.473978i
\(296\) 30446.1 84699.0i 0.0201977 0.0561887i
\(297\) 683456.i 0.449593i
\(298\) −475420. 54928.4i −0.310125 0.0358308i
\(299\) −1.94047e6 1.94047e6i −1.25525 1.25525i
\(300\) 280897. 174292.i 0.180196 0.111809i
\(301\) −661585. + 661585.i −0.420891 + 0.420891i
\(302\) −154579. 194964.i −0.0975289 0.123009i
\(303\) −2.79882e6 −1.75133
\(304\) −1.66469e6 + 561454.i −1.03312 + 0.348442i
\(305\) −308166. −0.189686
\(306\) 68819.3 + 86798.8i 0.0420152 + 0.0529920i
\(307\) −763222. + 763222.i −0.462173 + 0.462173i −0.899367 0.437194i \(-0.855972\pi\)
0.437194 + 0.899367i \(0.355972\pi\)
\(308\) 521032. + 839719.i 0.312959 + 0.504379i
\(309\) −1.81508e6 1.81508e6i −1.08144 1.08144i
\(310\) 238079. + 27506.8i 0.140707 + 0.0162568i
\(311\) 1.47977e6i 0.867549i −0.901021 0.433775i \(-0.857181\pi\)
0.901021 0.433775i \(-0.142819\pi\)
\(312\) 2.84411e6 1.34006e6i 1.65409 0.779358i
\(313\) 1.66057e6i 0.958067i 0.877797 + 0.479034i \(0.159013\pi\)
−0.877797 + 0.479034i \(0.840987\pi\)
\(314\) 282643. 2.44635e6i 0.161776 1.40022i
\(315\) −84855.6 84855.6i −0.0481842 0.0481842i
\(316\) 618894. 2.64259e6i 0.348657 1.48872i
\(317\) 827202. 827202.i 0.462342 0.462342i −0.437080 0.899423i \(-0.643987\pi\)
0.899423 + 0.437080i \(0.143987\pi\)
\(318\) 1.41418e6 1.12125e6i 0.784219 0.621775i
\(319\) 699717. 0.384987
\(320\) 815488. 77901.5i 0.445187 0.0425276i
\(321\) 280742. 0.152071
\(322\) −1.83983e6 + 1.45873e6i −0.988870 + 0.784034i
\(323\) 786526. 786526.i 0.419476 0.419476i
\(324\) 477775. 2.04003e6i 0.252849 1.07963i
\(325\) 464386. + 464386.i 0.243877 + 0.243877i
\(326\) −85503.0 + 740051.i −0.0445592 + 0.385672i
\(327\) 3.92886e6i 2.03187i
\(328\) −1.89422e6 + 892498.i −0.972178 + 0.458060i
\(329\) 2.39106e6i 1.21787i
\(330\) 451212. + 52131.5i 0.228085 + 0.0263521i
\(331\) 980690. + 980690.i 0.491996 + 0.491996i 0.908935 0.416938i \(-0.136897\pi\)
−0.416938 + 0.908935i \(0.636897\pi\)
\(332\) 815348. + 1.31405e6i 0.405974 + 0.654286i
\(333\) −10618.8 + 10618.8i −0.00524765 + 0.00524765i
\(334\) 1.52958e6 + 1.92920e6i 0.750250 + 0.946259i
\(335\) −1.67191e6 −0.813956
\(336\) −859678. 2.54891e6i −0.415420 1.23170i
\(337\) −3.61743e6 −1.73510 −0.867551 0.497349i \(-0.834307\pi\)
−0.867551 + 0.497349i \(0.834307\pi\)
\(338\) 2.57561e6 + 3.24851e6i 1.22628 + 1.54665i
\(339\) −957705. + 957705.i −0.452619 + 0.452619i
\(340\) −440723. + 273461.i −0.206761 + 0.128292i
\(341\) 232848. + 232848.i 0.108439 + 0.108439i
\(342\) 291187. + 33642.8i 0.134619 + 0.0155534i
\(343\) 1.32789e6i 0.609434i
\(344\) −360483. + 1.00284e6i −0.164244 + 0.456914i
\(345\) 1.07917e6i 0.488138i
\(346\) 303269. 2.62487e6i 0.136188 1.17874i
\(347\) 2.91142e6 + 2.91142e6i 1.29802 + 1.29802i 0.929698 + 0.368322i \(0.120068\pi\)
0.368322 + 0.929698i \(0.379932\pi\)
\(348\) −1.85446e6 434314.i −0.820861 0.192245i
\(349\) −1.50734e6 + 1.50734e6i −0.662440 + 0.662440i −0.955955 0.293515i \(-0.905175\pi\)
0.293515 + 0.955955i \(0.405175\pi\)
\(350\) 440302. 349098.i 0.192124 0.152327i
\(351\) 3.69592e6 1.60123
\(352\) 944499. + 612257.i 0.406298 + 0.263376i
\(353\) 1.04810e6 0.447677 0.223839 0.974626i \(-0.428141\pi\)
0.223839 + 0.974626i \(0.428141\pi\)
\(354\) −2.07625e6 + 1.64618e6i −0.880586 + 0.698181i
\(355\) 1.42097e6 1.42097e6i 0.598430 0.598430i
\(356\) 3.77319e6 + 883679.i 1.57791 + 0.369547i
\(357\) 1.20430e6 + 1.20430e6i 0.500108 + 0.500108i
\(358\) 120702. 1.04471e6i 0.0497746 0.430812i
\(359\) 2.43835e6i 0.998528i 0.866450 + 0.499264i \(0.166396\pi\)
−0.866450 + 0.499264i \(0.833604\pi\)
\(360\) −128625. 46236.0i −0.0523082 0.0188029i
\(361\) 467341.i 0.188741i
\(362\) 2.01028e6 + 232261.i 0.806279 + 0.0931548i
\(363\) −1.44101e6 1.44101e6i −0.573985 0.573985i
\(364\) 4.54094e6 2.81758e6i 1.79636 1.11461i
\(365\) −388514. + 388514.i −0.152642 + 0.152642i
\(366\) 716058. + 903134.i 0.279412 + 0.352411i
\(367\) 2.50919e6 0.972451 0.486225 0.873833i \(-0.338373\pi\)
0.486225 + 0.873833i \(0.338373\pi\)
\(368\) −1.18750e6 + 2.39617e6i −0.457103 + 0.922357i
\(369\) 349374. 0.133575
\(370\) −43686.0 55099.3i −0.0165897 0.0209238i
\(371\) 2.16915e6 2.16915e6i 0.818192 0.818192i
\(372\) −472588. 761645.i −0.177062 0.285361i
\(373\) 2.21861e6 + 2.21861e6i 0.825675 + 0.825675i 0.986915 0.161240i \(-0.0515493\pi\)
−0.161240 + 0.986915i \(0.551549\pi\)
\(374\) −707943. 81793.4i −0.261709 0.0302370i
\(375\) 258263.i 0.0948385i
\(376\) −1.16078e6 2.46361e6i −0.423429 0.898676i
\(377\) 3.78385e6i 1.37114i
\(378\) 362936. 3.14131e6i 0.130647 1.13079i
\(379\) −753371. 753371.i −0.269408 0.269408i 0.559454 0.828862i \(-0.311011\pi\)
−0.828862 + 0.559454i \(0.811011\pi\)
\(380\) −312974. + 1.33636e6i −0.111186 + 0.474748i
\(381\) −571513. + 571513.i −0.201703 + 0.201703i
\(382\) −692017. + 548672.i −0.242638 + 0.192378i
\(383\) 2.85916e6 0.995958 0.497979 0.867189i \(-0.334076\pi\)
0.497979 + 0.867189i \(0.334076\pi\)
\(384\) −2.12318e6 2.20891e6i −0.734782 0.764453i
\(385\) 772056. 0.265459
\(386\) −3.89758e6 + 3.09023e6i −1.33146 + 1.05566i
\(387\) 125727. 125727.i 0.0426728 0.0426728i
\(388\) −964214. + 4.11706e6i −0.325158 + 1.38838i
\(389\) −1.16610e6 1.16610e6i −0.390715 0.390715i 0.484227 0.874942i \(-0.339101\pi\)
−0.874942 + 0.484227i \(0.839101\pi\)
\(390\) 281911. 2.44002e6i 0.0938536 0.812327i
\(391\) 1.69320e6i 0.560101i
\(392\) −652104. 1.38401e6i −0.214339 0.454909i
\(393\) 131987.i 0.0431073i
\(394\) 3.14248e6 + 363072.i 1.01984 + 0.117829i
\(395\) −1.49934e6 1.49934e6i −0.483513 0.483513i
\(396\) −99016.4 159579.i −0.0317299 0.0511374i
\(397\) 3.45127e6 3.45127e6i 1.09901 1.09901i 0.104485 0.994526i \(-0.466680\pi\)
0.994526 0.104485i \(-0.0333196\pi\)
\(398\) 678474. + 855731.i 0.214697 + 0.270788i
\(399\) 4.50689e6 1.41724
\(400\) 284188. 573443.i 0.0888087 0.179201i
\(401\) −4.27920e6 −1.32893 −0.664465 0.747320i \(-0.731340\pi\)
−0.664465 + 0.747320i \(0.731340\pi\)
\(402\) 3.88486e6 + 4.89982e6i 1.19898 + 1.51222i
\(403\) 1.25917e6 1.25917e6i 0.386208 0.386208i
\(404\) −4.60423e6 + 2.85685e6i −1.40347 + 0.870832i
\(405\) −1.15746e6 1.15746e6i −0.350647 0.350647i
\(406\) −3.21605e6 371571.i −0.968294 0.111873i
\(407\) 96614.9i 0.0289107i
\(408\) 1.82549e6 + 656196.i 0.542912 + 0.195157i
\(409\) 939276.i 0.277642i −0.990317 0.138821i \(-0.955669\pi\)
0.990317 0.138821i \(-0.0443312\pi\)
\(410\) −187757. + 1.62509e6i −0.0551616 + 0.477438i
\(411\) 1.46623e6 + 1.46623e6i 0.428151 + 0.428151i
\(412\) −4.83865e6 1.13321e6i −1.40437 0.328902i
\(413\) −3.18467e6 + 3.18467e6i −0.918733 + 0.918733i
\(414\) 349640. 277215.i 0.100258 0.0794907i
\(415\) 1.20817e6 0.344356
\(416\) 3.31090e6 5.10756e6i 0.938020 1.44704i
\(417\) −1.16467e6 −0.327991
\(418\) −1.47773e6 + 1.17163e6i −0.413670 + 0.327982i
\(419\) 801198. 801198.i 0.222949 0.222949i −0.586790 0.809739i \(-0.699609\pi\)
0.809739 + 0.586790i \(0.199609\pi\)
\(420\) −2.04618e6 479215.i −0.566006 0.132558i
\(421\) −3.09877e6 3.09877e6i −0.852088 0.852088i 0.138302 0.990390i \(-0.455835\pi\)
−0.990390 + 0.138302i \(0.955835\pi\)
\(422\) 39252.7 339743.i 0.0107297 0.0928686i
\(423\) 454394.i 0.123476i
\(424\) 1.18192e6 3.28803e6i 0.319282 0.888220i
\(425\) 405210.i 0.108820i
\(426\) −7.46617e6 862616.i −1.99331 0.230300i
\(427\) 1.38528e6 + 1.38528e6i 0.367677 + 0.367677i
\(428\) 461839. 286563.i 0.121866 0.0756156i
\(429\) 2.38641e6 2.38641e6i 0.626039 0.626039i
\(430\) 517243. + 652376.i 0.134903 + 0.170148i
\(431\) 3.88577e6 1.00759 0.503795 0.863823i \(-0.331937\pi\)
0.503795 + 0.863823i \(0.331937\pi\)
\(432\) −1.15105e6 3.41282e6i −0.296746 0.879842i
\(433\) −3.66645e6 −0.939780 −0.469890 0.882725i \(-0.655706\pi\)
−0.469890 + 0.882725i \(0.655706\pi\)
\(434\) −946568. 1.19387e6i −0.241228 0.304250i
\(435\) −1.05217e6 + 1.05217e6i −0.266603 + 0.266603i
\(436\) 4.01032e6 + 6.46322e6i 1.01033 + 1.62829i
\(437\) −3.16826e6 3.16826e6i −0.793628 0.793628i
\(438\) 2.04136e6 + 235852.i 0.508433 + 0.0587427i
\(439\) 5.04597e6i 1.24964i 0.780770 + 0.624818i \(0.214827\pi\)
−0.780770 + 0.624818i \(0.785173\pi\)
\(440\) 795484. 374808.i 0.195884 0.0922948i
\(441\) 255270.i 0.0625033i
\(442\) −442313. + 3.82834e6i −0.107690 + 0.932083i
\(443\) −4.20429e6 4.20429e6i −1.01785 1.01785i −0.999838 0.0180102i \(-0.994267\pi\)
−0.0180102 0.999838i \(-0.505733\pi\)
\(444\) −59968.7 + 256058.i −0.0144367 + 0.0616427i
\(445\) 2.14081e6 2.14081e6i 0.512482 0.512482i
\(446\) −1.84342e6 + 1.46157e6i −0.438820 + 0.347922i
\(447\) 1.39838e6 0.331021
\(448\) −4.01599e6 3.31562e6i −0.945360 0.780493i
\(449\) −859414. −0.201181 −0.100590 0.994928i \(-0.532073\pi\)
−0.100590 + 0.994928i \(0.532073\pi\)
\(450\) −83674.6 + 66342.2i −0.0194788 + 0.0154439i
\(451\) −1.58938e6 + 1.58938e6i −0.367949 + 0.367949i
\(452\) −597922. + 2.55305e6i −0.137657 + 0.587777i
\(453\) 514065. + 514065.i 0.117699 + 0.117699i
\(454\) −289941. + 2.50952e6i −0.0660192 + 0.571413i
\(455\) 4.17504e6i 0.945437i
\(456\) 4.64365e6 2.18795e6i 1.04580 0.492748i
\(457\) 1.05972e6i 0.237357i 0.992933 + 0.118679i \(0.0378658\pi\)
−0.992933 + 0.118679i \(0.962134\pi\)
\(458\) 3.01068e6 + 347844.i 0.670657 + 0.0774855i
\(459\) 1.61248e6 + 1.61248e6i 0.357242 + 0.357242i
\(460\) 1.10155e6 + 1.77531e6i 0.242722 + 0.391182i
\(461\) 2.46745e6 2.46745e6i 0.540750 0.540750i −0.382999 0.923749i \(-0.625109\pi\)
0.923749 + 0.382999i \(0.125109\pi\)
\(462\) −1.79396e6 2.26264e6i −0.391027 0.493186i
\(463\) 1.06094e6 0.230006 0.115003 0.993365i \(-0.463312\pi\)
0.115003 + 0.993365i \(0.463312\pi\)
\(464\) −3.49402e6 + 1.17844e6i −0.753409 + 0.254104i
\(465\) −700273. −0.150188
\(466\) 108339. + 136643.i 0.0231110 + 0.0291490i
\(467\) −1.62579e6 + 1.62579e6i −0.344963 + 0.344963i −0.858229 0.513266i \(-0.828435\pi\)
0.513266 + 0.858229i \(0.328435\pi\)
\(468\) −862956. + 535450.i −0.182127 + 0.113007i
\(469\) 7.51561e6 + 7.51561e6i 1.57773 + 1.57773i
\(470\) −2.11358e6 244196.i −0.441341 0.0509911i
\(471\) 7.19559e6i 1.49456i
\(472\) −1.73526e6 + 4.82736e6i −0.358516 + 0.997367i
\(473\) 1.14392e6i 0.235095i
\(474\) −910193. + 7.87796e6i −0.186075 + 1.61053i
\(475\) 758215. + 758215.i 0.154191 + 0.154191i
\(476\) 3.21042e6 + 751879.i 0.649448 + 0.152100i
\(477\) −412223. + 412223.i −0.0829538 + 0.0829538i
\(478\) 6.27732e6 4.97703e6i 1.25662 0.996325i
\(479\) −2.23239e6 −0.444560 −0.222280 0.974983i \(-0.571350\pi\)
−0.222280 + 0.974983i \(0.571350\pi\)
\(480\) −2.34092e6 + 499597.i −0.463749 + 0.0989730i
\(481\) −522463. −0.102966
\(482\) −2.12401e6 + 1.68404e6i −0.416427 + 0.330168i
\(483\) 4.85112e6 4.85112e6i 0.946181 0.946181i
\(484\) −3.84144e6 899664.i −0.745386 0.174569i
\(485\) 2.33592e6 + 2.33592e6i 0.450924 + 0.450924i
\(486\) −147733. + 1.27867e6i −0.0283719 + 0.245566i
\(487\) 453105.i 0.0865718i −0.999063 0.0432859i \(-0.986217\pi\)
0.999063 0.0432859i \(-0.0137826\pi\)
\(488\) 2.09982e6 + 754807.i 0.399147 + 0.143478i
\(489\) 2.17675e6i 0.411658i
\(490\) −1.18737e6 137185.i −0.223407 0.0258116i
\(491\) −4.56248e6 4.56248e6i −0.854077 0.854077i 0.136555 0.990632i \(-0.456397\pi\)
−0.990632 + 0.136555i \(0.956397\pi\)
\(492\) 5.19887e6 3.22581e6i 0.968269 0.600795i
\(493\) 1.65084e6 1.65084e6i 0.305906 0.305906i
\(494\) 6.33581e6 + 7.99110e6i 1.16811 + 1.47329i
\(495\) −146721. −0.0269140
\(496\) −1.55487e6 770566.i −0.283786 0.140639i
\(497\) −1.27752e7 −2.31993
\(498\) −2.80731e6 3.54075e6i −0.507244 0.639766i
\(499\) 2.47751e6 2.47751e6i 0.445413 0.445413i −0.448413 0.893826i \(-0.648011\pi\)
0.893826 + 0.448413i \(0.148011\pi\)
\(500\) −263618. 424859.i −0.0471575 0.0760011i
\(501\) −5.08674e6 5.08674e6i −0.905410 0.905410i
\(502\) −8.56018e6 989014.i −1.51608 0.175163i
\(503\) 2.63380e6i 0.464155i −0.972697 0.232077i \(-0.925448\pi\)
0.972697 0.232077i \(-0.0745523\pi\)
\(504\) 370358. + 786041.i 0.0649450 + 0.137838i
\(505\) 4.23323e6i 0.738659i
\(506\) −329477. + 2.85171e6i −0.0572070 + 0.495142i
\(507\) −8.56541e6 8.56541e6i −1.47989 1.47989i
\(508\) −356812. + 1.52354e6i −0.0613451 + 0.261935i
\(509\) 4.14738e6 4.14738e6i 0.709544 0.709544i −0.256895 0.966439i \(-0.582700\pi\)
0.966439 + 0.256895i \(0.0826995\pi\)
\(510\) 1.18754e6 941550.i 0.202172 0.160294i
\(511\) 3.49291e6 0.591746
\(512\) −5.74747e6 1.46660e6i −0.968952 0.247250i
\(513\) 6.03442e6 1.01238
\(514\) 3.04930e6 2.41767e6i 0.509087 0.403635i
\(515\) −2.74533e6 + 2.74533e6i −0.456117 + 0.456117i
\(516\) 710031. 3.03174e6i 0.117396 0.501265i
\(517\) −2.06715e6 2.06715e6i −0.340130 0.340130i
\(518\) −51305.4 + 444062.i −0.00840115 + 0.0727142i
\(519\) 7.72067e6i 1.25816i
\(520\) −2.02685e6 4.30173e6i −0.328710 0.697646i
\(521\) 4.21798e6i 0.680785i −0.940284 0.340392i \(-0.889440\pi\)
0.940284 0.340392i \(-0.110560\pi\)
\(522\) 611174. + 70613.0i 0.0981722 + 0.0113425i
\(523\) −3.72307e6 3.72307e6i −0.595179 0.595179i 0.343847 0.939026i \(-0.388270\pi\)
−0.939026 + 0.343847i \(0.888270\pi\)
\(524\) 134724. + 217127.i 0.0214347 + 0.0345451i
\(525\) −1.16095e6 + 1.16095e6i −0.183830 + 0.183830i
\(526\) 2.60980e6 + 3.29164e6i 0.411286 + 0.518737i
\(527\) 1.09872e6 0.172329
\(528\) −2.94683e6 1.46040e6i −0.460014 0.227974i
\(529\) −384150. −0.0596846
\(530\) −1.69589e6 2.13896e6i −0.262246 0.330760i
\(531\) 605212. 605212.i 0.0931474 0.0931474i
\(532\) 7.41411e6 4.60034e6i 1.13574 0.704710i
\(533\) 8.59489e6 + 8.59489e6i 1.31046 + 1.31046i
\(534\) −1.12484e7 1.29961e6i −1.70702 0.197223i
\(535\) 424625.i 0.0641388i
\(536\) 1.13923e7 + 4.09509e6i 1.71277 + 0.615675i
\(537\) 3.07286e6i 0.459840i
\(538\) 928957. 8.04037e6i 0.138369 1.19762i
\(539\) −1.16128e6 1.16128e6i −0.172173 0.172173i
\(540\) −2.73970e6 641636.i −0.404314 0.0946901i
\(541\) −9.06672e6 + 9.06672e6i −1.33186 + 1.33186i −0.428146 + 0.903710i \(0.640833\pi\)
−0.903710 + 0.428146i \(0.859167\pi\)
\(542\) 2.39050e6 1.89533e6i 0.349535 0.277132i
\(543\) −5.91295e6 −0.860606
\(544\) 3.67285e6 783859.i 0.532116 0.113564i
\(545\) 5.94242e6 0.856983
\(546\) −1.22357e7 + 9.70117e6i −1.75649 + 1.39265i
\(547\) 4.89258e6 4.89258e6i 0.699148 0.699148i −0.265079 0.964227i \(-0.585398\pi\)
0.964227 + 0.265079i \(0.0853979\pi\)
\(548\) 3.90867e6 + 915409.i 0.556004 + 0.130216i
\(549\) −263257. 263257.i −0.0372776 0.0372776i
\(550\) 78849.3 682461.i 0.0111145 0.0961992i
\(551\) 6.17800e6i 0.866899i
\(552\) 2.64327e6 7.35339e6i 0.369227 1.02716i
\(553\) 1.34798e7i 1.87443i
\(554\) −1.30983e7 1.51333e6i −1.81318 0.209489i
\(555\) 145281. + 145281.i 0.0200206 + 0.0200206i
\(556\) −1.91595e6 + 1.18882e6i −0.262844 + 0.163090i
\(557\) 9.38556e6 9.38556e6i 1.28181 1.28181i 0.342167 0.939639i \(-0.388839\pi\)
0.939639 0.342167i \(-0.111161\pi\)
\(558\) 179885. + 226881.i 0.0244573 + 0.0308470i
\(559\) 6.18598e6 0.837296
\(560\) −3.85525e6 + 1.30027e6i −0.519496 + 0.175212i
\(561\) 2.08231e6 0.279343
\(562\) −3.16229e6 3.98847e6i −0.422339 0.532679i
\(563\) −9.63950e6 + 9.63950e6i −1.28169 + 1.28169i −0.341987 + 0.939705i \(0.611100\pi\)
−0.939705 + 0.341987i \(0.888900\pi\)
\(564\) 4.19548e6 + 6.76163e6i 0.555372 + 0.895063i
\(565\) 1.44854e6 + 1.44854e6i 0.190901 + 0.190901i
\(566\) 1.39493e7 + 1.61166e6i 1.83026 + 0.211462i
\(567\) 1.04061e7i 1.35935i
\(568\) −1.31628e7 + 6.20192e6i −1.71190 + 0.806594i
\(569\) 5.64345e6i 0.730742i 0.930862 + 0.365371i \(0.119058\pi\)
−0.930862 + 0.365371i \(0.880942\pi\)
\(570\) 460284. 3.98388e6i 0.0593387 0.513592i
\(571\) 9.76836e6 + 9.76836e6i 1.25381 + 1.25381i 0.953999 + 0.299810i \(0.0969234\pi\)
0.299810 + 0.953999i \(0.403077\pi\)
\(572\) 1.48990e6 6.36168e6i 0.190400 0.812983i
\(573\) 1.82465e6 1.82465e6i 0.232163 0.232163i
\(574\) 8.14914e6 6.46112e6i 1.03236 0.818518i
\(575\) 1.63225e6 0.205882
\(576\) 763194. + 630096.i 0.0958470 + 0.0791317i
\(577\) −380585. −0.0475896 −0.0237948 0.999717i \(-0.507575\pi\)
−0.0237948 + 0.999717i \(0.507575\pi\)
\(578\) 4.43052e6 3.51278e6i 0.551614 0.437352i
\(579\) 1.02768e7 1.02768e7i 1.27398 1.27398i
\(580\) −656902. + 2.80488e6i −0.0810832 + 0.346214i
\(581\) −5.43099e6 5.43099e6i −0.667481 0.667481i
\(582\) 1.41805e6 1.22736e7i 0.173533 1.50198i
\(583\) 3.75060e6i 0.457014i
\(584\) 3.59891e6 1.69569e6i 0.436655 0.205738i
\(585\) 793421.i 0.0958548i
\(586\) 1.15539e7 + 1.33490e6i 1.38991 + 0.160585i
\(587\) −616594. 616594.i −0.0738591 0.0738591i 0.669212 0.743071i \(-0.266632\pi\)
−0.743071 + 0.669212i \(0.766632\pi\)
\(588\) 2.35694e6 + 3.79855e6i 0.281129 + 0.453080i
\(589\) 2.05588e6 2.05588e6i 0.244179 0.244179i
\(590\) 2.48985e6 + 3.14035e6i 0.294472 + 0.371405i
\(591\) −9.24315e6 −1.08856
\(592\) 162715. + 482444.i 0.0190820 + 0.0565774i
\(593\) −8.64591e6 −1.00966 −0.504829 0.863220i \(-0.668444\pi\)
−0.504829 + 0.863220i \(0.668444\pi\)
\(594\) −2.40199e6 3.02953e6i −0.279322 0.352297i
\(595\) 1.82151e6 1.82151e6i 0.210931 0.210931i
\(596\) 2.30042e6 1.42737e6i 0.265272 0.164597i
\(597\) −2.25632e6 2.25632e6i −0.259098 0.259098i
\(598\) 1.54212e7 + 1.78171e6i 1.76346 + 0.203744i
\(599\) 1.88849e6i 0.215054i 0.994202 + 0.107527i \(0.0342932\pi\)
−0.994202 + 0.107527i \(0.965707\pi\)
\(600\) −632577. + 1.75979e6i −0.0717357 + 0.199564i
\(601\) 5.80779e6i 0.655881i 0.944698 + 0.327940i \(0.106354\pi\)
−0.944698 + 0.327940i \(0.893646\pi\)
\(602\) 607457. 5.25770e6i 0.0683163 0.591296i
\(603\) −1.42826e6 1.42826e6i −0.159961 0.159961i
\(604\) 1.37039e6 + 320945.i 0.152846 + 0.0357964i
\(605\) −2.17954e6 + 2.17954e6i −0.242090 + 0.242090i
\(606\) 1.24062e7 9.83638e6i 1.37233 1.08806i
\(607\) −1.31092e7 −1.44413 −0.722064 0.691827i \(-0.756806\pi\)
−0.722064 + 0.691827i \(0.756806\pi\)
\(608\) 5.40578e6 8.33924e6i 0.593061 0.914887i
\(609\) 9.45952e6 1.03354
\(610\) 1.36600e6 1.08304e6i 0.148636 0.117848i
\(611\) −1.11785e7 + 1.11785e7i −1.21138 + 1.21138i
\(612\) −610105. 142886.i −0.0658454 0.0154210i
\(613\) 5.27786e6 + 5.27786e6i 0.567292 + 0.567292i 0.931369 0.364077i \(-0.118615\pi\)
−0.364077 + 0.931369i \(0.618615\pi\)
\(614\) 700779. 6.06542e6i 0.0750170 0.649292i
\(615\) 4.77995e6i 0.509608i
\(616\) −5.26073e6 1.89104e6i −0.558591 0.200793i
\(617\) 1.36911e7i 1.44786i −0.689874 0.723929i \(-0.742334\pi\)
0.689874 0.723929i \(-0.257666\pi\)
\(618\) 1.44247e7 + 1.66658e6i 1.51927 + 0.175532i
\(619\) 4.17112e6 + 4.17112e6i 0.437548 + 0.437548i 0.891186 0.453638i \(-0.149874\pi\)
−0.453638 + 0.891186i \(0.649874\pi\)
\(620\) −1.15199e6 + 714793.i −0.120357 + 0.0746794i
\(621\) 6.49533e6 6.49533e6i 0.675884 0.675884i
\(622\) 5.20062e6 + 6.55933e6i 0.538989 + 0.679804i
\(623\) −1.92469e7 −1.98674
\(624\) −7.89737e6 + 1.59356e7i −0.811935 + 1.63835i
\(625\) −390625. −0.0400000
\(626\) −5.83603e6 7.36074e6i −0.595225 0.750733i
\(627\) 3.89635e6 3.89635e6i 0.395812 0.395812i
\(628\) 7.34478e6 + 1.18372e7i 0.743156 + 1.19770i
\(629\) −227943. 227943.i −0.0229721 0.0229721i
\(630\) 674359. + 77913.2i 0.0676924 + 0.00782095i
\(631\) 8.20739e6i 0.820601i 0.911950 + 0.410300i \(0.134576\pi\)
−0.911950 + 0.410300i \(0.865424\pi\)
\(632\) 6.54398e6 + 1.38888e7i 0.651702 + 1.38316i
\(633\) 999303.i 0.0991261i
\(634\) −759525. + 6.57389e6i −0.0750445 + 0.649530i
\(635\) 864417. + 864417.i 0.0850724 + 0.0850724i
\(636\) −2.32799e6 + 9.94021e6i −0.228212 + 0.974435i
\(637\) −6.27986e6 + 6.27986e6i −0.613199 + 0.613199i
\(638\) −3.10161e6 + 2.45914e6i −0.301672 + 0.239183i
\(639\) 2.42778e6 0.235210
\(640\) −3.34100e6 + 3.21132e6i −0.322423 + 0.309909i
\(641\) 7.38569e6 0.709980 0.354990 0.934870i \(-0.384484\pi\)
0.354990 + 0.934870i \(0.384484\pi\)
\(642\) −1.24444e6 + 986662.i −0.119161 + 0.0944780i
\(643\) −8.17794e6 + 8.17794e6i −0.780039 + 0.780039i −0.979837 0.199798i \(-0.935971\pi\)
0.199798 + 0.979837i \(0.435971\pi\)
\(644\) 3.02869e6 1.29321e7i 0.287767 1.22872i
\(645\) −1.72013e6 1.72013e6i −0.162803 0.162803i
\(646\) −722176. + 6.25063e6i −0.0680866 + 0.589308i
\(647\) 1.75318e7i 1.64651i 0.567670 + 0.823256i \(0.307845\pi\)
−0.567670 + 0.823256i \(0.692155\pi\)
\(648\) 5.05183e6 + 1.07219e7i 0.472620 + 1.00308i
\(649\) 5.50650e6i 0.513173i
\(650\) −3.69054e6 426393.i −0.342615 0.0395846i
\(651\) 3.14789e6 + 3.14789e6i 0.291116 + 0.291116i
\(652\) −2.22188e6 3.58089e6i −0.204693 0.329892i
\(653\) 6.90508e6 6.90508e6i 0.633703 0.633703i −0.315292 0.948995i \(-0.602102\pi\)
0.948995 + 0.315292i \(0.102102\pi\)
\(654\) −1.38079e7 1.74153e7i −1.26236 1.59216i
\(655\) 199632. 0.0181814
\(656\) 5.25977e6 1.06133e7i 0.477207 0.962924i
\(657\) −663789. −0.0599953
\(658\) 8.40331e6 + 1.05987e7i 0.756634 + 0.954311i
\(659\) −5.69848e6 + 5.69848e6i −0.511147 + 0.511147i −0.914878 0.403731i \(-0.867713\pi\)
0.403731 + 0.914878i \(0.367713\pi\)
\(660\) −2.18328e6 + 1.35469e6i −0.195097 + 0.121054i
\(661\) −9.53996e6 9.53996e6i −0.849265 0.849265i 0.140777 0.990041i \(-0.455040\pi\)
−0.990041 + 0.140777i \(0.955040\pi\)
\(662\) −7.79368e6 900455.i −0.691190 0.0798578i
\(663\) 1.12605e7i 0.994887i
\(664\) −8.23236e6 2.95923e6i −0.724610 0.260470i
\(665\) 6.81670e6i 0.597751i
\(666\) 9750.03 84389.1i 0.000851766 0.00737226i
\(667\) −6.64987e6 6.64987e6i −0.578760 0.578760i
\(668\) −1.35602e7 3.17580e6i −1.17578 0.275367i
\(669\) 4.86057e6 4.86057e6i 0.419877 0.419877i
\(670\) 7.41101e6 5.87588e6i 0.637808 0.505692i
\(671\) 2.39523e6 0.205372
\(672\) 1.27687e7 + 8.27714e6i 1.09075 + 0.707061i
\(673\) −1.77045e7 −1.50677 −0.753384 0.657580i \(-0.771580\pi\)
−0.753384 + 0.657580i \(0.771580\pi\)
\(674\) 1.60348e7 1.27134e7i 1.35961 1.07798i
\(675\) −1.55444e6 + 1.55444e6i −0.131315 + 0.131315i
\(676\) −2.28336e7 5.34763e6i −1.92180 0.450085i
\(677\) 1.22868e7 + 1.22868e7i 1.03030 + 1.03030i 0.999526 + 0.0307780i \(0.00979850\pi\)
0.0307780 + 0.999526i \(0.490201\pi\)
\(678\) 879350. 7.61101e6i 0.0734662 0.635870i
\(679\) 2.10010e7i 1.74809i
\(680\) 992502. 2.76107e6i 0.0823112 0.228984i
\(681\) 7.38137e6i 0.609915i
\(682\) −1.85047e6 213797.i −0.152343 0.0176012i
\(683\) 4.08331e6 + 4.08331e6i 0.334935 + 0.334935i 0.854457 0.519522i \(-0.173890\pi\)
−0.519522 + 0.854457i \(0.673890\pi\)
\(684\) −1.40897e6 + 874243.i −0.115149 + 0.0714483i
\(685\) 2.21768e6 2.21768e6i 0.180581 0.180581i
\(686\) −4.66684e6 5.88608e6i −0.378628 0.477547i
\(687\) −8.85547e6 −0.715846
\(688\) −1.92655e6 5.71215e6i −0.155171 0.460075i
\(689\) −2.02821e7 −1.62766
\(690\) −3.79272e6 4.78360e6i −0.303269 0.382501i
\(691\) −1.18293e7 + 1.18293e7i −0.942463 + 0.942463i −0.998432 0.0559699i \(-0.982175\pi\)
0.0559699 + 0.998432i \(0.482175\pi\)
\(692\) 7.88076e6 + 1.27010e7i 0.625609 + 1.00826i
\(693\) 659543. + 659543.i 0.0521687 + 0.0521687i
\(694\) −2.31375e7 2.67322e6i −1.82355 0.210687i
\(695\) 1.76157e6i 0.138337i
\(696\) 9.74657e6 4.59229e6i 0.762656 0.359340i
\(697\) 7.49966e6i 0.584735i
\(698\) 1.38401e6 1.19790e7i 0.107523 0.930640i
\(699\) −360289. 360289.i −0.0278906 0.0278906i
\(700\) −724815. + 3.09486e6i −0.0559091 + 0.238724i
\(701\) 5.74616e6 5.74616e6i 0.441654 0.441654i −0.450913 0.892568i \(-0.648902\pi\)
0.892568 + 0.450913i \(0.148902\pi\)
\(702\) −1.63828e7 + 1.29892e7i −1.25471 + 0.994810i
\(703\) −853039. −0.0651000
\(704\) −6.33840e6 + 605492.i −0.482001 + 0.0460444i
\(705\) 6.21679e6 0.471079
\(706\) −4.64586e6 + 3.68351e6i −0.350796 + 0.278132i
\(707\) 1.90293e7 1.90293e7i 1.43178 1.43178i
\(708\) 3.41788e6 1.45939e7i 0.256256 1.09418i
\(709\) 1.34563e7 + 1.34563e7i 1.00534 + 1.00534i 0.999986 + 0.00535047i \(0.00170312\pi\)
0.00535047 + 0.999986i \(0.498297\pi\)
\(710\) −1.30471e6 + 1.12926e7i −0.0971335 + 0.840716i
\(711\) 2.56168e6i 0.190042i
\(712\) −1.98309e7 + 9.34373e6i −1.46603 + 0.690749i
\(713\) 4.42581e6i 0.326038i
\(714\) −9.57073e6 1.10577e6i −0.702586 0.0811744i
\(715\) −3.60946e6 3.60946e6i −0.264044 0.264044i
\(716\) 3.13657e6 + 5.05504e6i 0.228651 + 0.368504i
\(717\) −1.65515e7 + 1.65515e7i −1.20238 + 1.20238i
\(718\) −8.56952e6 1.08084e7i −0.620362 0.782437i
\(719\) 686917. 0.0495544 0.0247772 0.999693i \(-0.492112\pi\)
0.0247772 + 0.999693i \(0.492112\pi\)
\(720\) 732647. 247102.i 0.0526700 0.0177642i
\(721\) 2.46817e7 1.76823
\(722\) 1.64246e6 + 2.07156e6i 0.117260 + 0.147895i
\(723\) 5.60041e6 5.60041e6i 0.398450 0.398450i
\(724\) −9.72717e6 + 6.03555e6i −0.689668 + 0.427928i
\(725\) 1.59142e6 + 1.59142e6i 0.112445 + 0.112445i
\(726\) 1.14519e7 + 1.32311e6i 0.806374 + 0.0931657i
\(727\) 7.82015e6i 0.548756i −0.961622 0.274378i \(-0.911528\pi\)
0.961622 0.274378i \(-0.0884719\pi\)
\(728\) −1.02261e7 + 2.84484e7i −0.715127 + 1.98943i
\(729\) 1.21497e7i 0.846731i
\(730\) 356727. 3.08757e6i 0.0247759 0.214442i
\(731\) 2.69885e6 + 2.69885e6i 0.186804 + 0.186804i
\(732\) −6.34808e6 1.48672e6i −0.437890 0.102554i
\(733\) −7.11806e6 + 7.11806e6i −0.489330 + 0.489330i −0.908095 0.418765i \(-0.862463\pi\)
0.418765 + 0.908095i \(0.362463\pi\)
\(734\) −1.11224e7 + 8.81847e6i −0.762004 + 0.604162i
\(735\) 3.49247e6 0.238460
\(736\) −3.15751e6 1.47949e7i −0.214858 1.00674i
\(737\) 1.29950e7 0.881265
\(738\) −1.54865e6 + 1.22786e6i −0.104668 + 0.0829869i
\(739\) −892506. + 892506.i −0.0601174 + 0.0601174i −0.736526 0.676409i \(-0.763535\pi\)
0.676409 + 0.736526i \(0.263535\pi\)
\(740\) 387290. + 90703.1i 0.0259990 + 0.00608896i
\(741\) −2.10702e7 2.10702e7i −1.40969 1.40969i
\(742\) −1.99168e6 + 1.72385e7i −0.132804 + 1.14945i
\(743\) 1.42088e7i 0.944249i −0.881532 0.472124i \(-0.843487\pi\)
0.881532 0.472124i \(-0.156513\pi\)
\(744\) 4.77160e6 + 1.71521e6i 0.316033 + 0.113602i
\(745\) 2.11506e6i 0.139615i
\(746\) −1.76316e7 2.03710e6i −1.15997 0.134018i
\(747\) 1.03210e6 + 1.03210e6i 0.0676738 + 0.0676738i
\(748\) 3.42553e6 2.12549e6i 0.223859 0.138901i
\(749\) −1.90878e6 + 1.90878e6i −0.124323 + 0.124323i
\(750\) 907660. + 1.14479e6i 0.0589210 + 0.0743146i
\(751\) −1.10742e6 −0.0716494 −0.0358247 0.999358i \(-0.511406\pi\)
−0.0358247 + 0.999358i \(0.511406\pi\)
\(752\) 1.38037e7 + 6.84083e6i 0.890122 + 0.441128i
\(753\) 2.51785e7 1.61824
\(754\) 1.32983e7 + 1.67725e7i 0.851857 + 1.07441i
\(755\) 777527. 777527.i 0.0496419 0.0496419i
\(756\) 9.43127e6 + 1.51999e7i 0.600158 + 0.967243i
\(757\) 1.91836e7 + 1.91836e7i 1.21672 + 1.21672i 0.968774 + 0.247946i \(0.0797554\pi\)
0.247946 + 0.968774i \(0.420245\pi\)
\(758\) 5.98714e6 + 691734.i 0.378483 + 0.0437286i
\(759\) 8.38790e6i 0.528504i
\(760\) −3.30928e6 7.02355e6i −0.207826 0.441086i
\(761\) 1.49440e7i 0.935417i −0.883883 0.467708i \(-0.845080\pi\)
0.883883 0.467708i \(-0.154920\pi\)
\(762\) 524754. 4.54189e6i 0.0327392 0.283367i
\(763\) −2.67125e7