Properties

Label 33.6.f.a.2.3
Level $33$
Weight $6$
Character 33.2
Analytic conductor $5.293$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 33 = 3 \cdot 11 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 33.f (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.29266605383\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(18\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 2.3
Character \(\chi\) \(=\) 33.2
Dual form 33.6.f.a.17.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.81967 + 8.67805i) q^{2} +(12.9564 + 8.66789i) q^{3} +(-41.4695 - 30.1293i) q^{4} +(-53.2208 + 17.2925i) q^{5} +(-111.753 + 87.9955i) q^{6} +(-14.1075 + 19.4173i) q^{7} +(142.170 - 103.293i) q^{8} +(92.7354 + 224.609i) q^{9} +O(q^{10})\) \(q+(-2.81967 + 8.67805i) q^{2} +(12.9564 + 8.66789i) q^{3} +(-41.4695 - 30.1293i) q^{4} +(-53.2208 + 17.2925i) q^{5} +(-111.753 + 87.9955i) q^{6} +(-14.1075 + 19.4173i) q^{7} +(142.170 - 103.293i) q^{8} +(92.7354 + 224.609i) q^{9} -510.612i q^{10} +(-240.584 - 321.202i) q^{11} +(-276.136 - 749.820i) q^{12} +(323.676 + 105.169i) q^{13} +(-128.725 - 177.175i) q^{14} +(-839.439 - 237.264i) q^{15} +(-11.3712 - 34.9969i) q^{16} +(463.558 + 1426.69i) q^{17} +(-2210.65 + 171.440i) q^{18} +(167.174 + 230.095i) q^{19} +(2728.05 + 886.397i) q^{20} +(-351.088 + 129.295i) q^{21} +(3465.77 - 1182.12i) q^{22} +4346.85i q^{23} +(2737.34 - 105.984i) q^{24} +(5.24910 - 3.81369i) q^{25} +(-1825.32 + 2512.33i) q^{26} +(-745.370 + 3713.94i) q^{27} +(1170.06 - 380.175i) q^{28} +(-6126.66 - 4451.28i) q^{29} +(4425.93 - 6615.68i) q^{30} +(-937.995 + 2886.85i) q^{31} +5959.20 q^{32} +(-332.955 - 6246.96i) q^{33} -13687.9 q^{34} +(415.038 - 1277.36i) q^{35} +(2921.63 - 12108.5i) q^{36} +(10155.5 + 7378.41i) q^{37} +(-2468.16 + 801.952i) q^{38} +(3282.07 + 4168.19i) q^{39} +(-5780.23 + 7955.81i) q^{40} +(7654.67 - 5561.45i) q^{41} +(-132.079 - 3411.33i) q^{42} -8566.64i q^{43} +(299.294 + 20568.7i) q^{44} +(-8819.50 - 10350.2i) q^{45} +(-37722.2 - 12256.7i) q^{46} +(7903.45 + 10878.2i) q^{47} +(156.020 - 551.997i) q^{48} +(5015.64 + 15436.6i) q^{49} +(18.2947 + 56.3053i) q^{50} +(-6360.32 + 22502.7i) q^{51} +(-10254.0 - 14113.4i) q^{52} +(-13026.0 - 4232.41i) q^{53} +(-30128.0 - 16940.4i) q^{54} +(18358.4 + 12934.3i) q^{55} +4217.75i q^{56} +(171.529 + 4430.25i) q^{57} +(55903.6 - 40616.3i) q^{58} +(24197.6 - 33305.1i) q^{59} +(27662.5 + 35130.9i) q^{60} +(43532.0 - 14144.4i) q^{61} +(-22407.4 - 16279.9i) q^{62} +(-5669.55 - 1367.99i) q^{63} +(-16439.1 + 50594.3i) q^{64} -19044.9 q^{65} +(55150.3 + 14725.0i) q^{66} +2238.85 q^{67} +(23761.6 - 73130.6i) q^{68} +(-37678.0 + 56319.4i) q^{69} +(9914.69 + 7203.44i) q^{70} +(-8804.09 + 2860.62i) q^{71} +(36384.7 + 22353.8i) q^{72} +(20981.1 - 28878.0i) q^{73} +(-92665.3 + 67325.3i) q^{74} +(101.066 - 3.91305i) q^{75} -14578.8i q^{76} +(9630.88 - 140.139i) q^{77} +(-45426.1 + 16729.1i) q^{78} +(-35085.2 - 11399.9i) q^{79} +(1210.37 + 1665.93i) q^{80} +(-41849.3 + 41658.4i) q^{81} +(26678.9 + 82109.1i) q^{82} +(2008.17 + 6180.50i) q^{83} +(18455.0 + 5216.24i) q^{84} +(-49341.9 - 67913.3i) q^{85} +(74341.8 + 24155.1i) q^{86} +(-40796.1 - 110778. i) q^{87} +(-67381.6 - 20814.7i) q^{88} -4564.54i q^{89} +(114688. - 47351.8i) q^{90} +(-6608.32 + 4801.23i) q^{91} +(130968. - 180261. i) q^{92} +(-37175.9 + 29272.7i) q^{93} +(-116686. + 37913.7i) q^{94} +(-12876.1 - 9355.01i) q^{95} +(77209.6 + 51653.6i) q^{96} +(-25591.8 + 78763.4i) q^{97} -148102. q^{98} +(49834.1 - 83824.0i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72q + 18q^{3} - 262q^{4} + 15q^{6} - 10q^{7} + 292q^{9} + O(q^{10}) \) \( 72q + 18q^{3} - 262q^{4} + 15q^{6} - 10q^{7} + 292q^{9} + 1854q^{12} - 10q^{13} - 762q^{15} - 10122q^{16} + 4815q^{18} + 4460q^{19} + 4628q^{22} - 805q^{24} + 13708q^{25} + 6108q^{27} - 28130q^{28} - 15470q^{30} + 4340q^{31} - 508q^{33} + 18732q^{34} - 56461q^{36} + 978q^{37} + 23360q^{39} + 69750q^{40} + 60788q^{42} - 31356q^{45} - 52090q^{46} + 4238q^{48} - 58448q^{49} - 178950q^{51} - 14190q^{52} + 86600q^{55} + 266190q^{57} + 137102q^{58} + 284090q^{60} - 77890q^{61} - 120330q^{63} - 379114q^{64} - 323304q^{66} + 42668q^{67} - 271816q^{69} + 87176q^{70} + 343960q^{72} + 116440q^{73} + 326202q^{75} + 155512q^{78} - 350590q^{79} - 208088q^{81} - 606424q^{82} - 220680q^{84} + 665610q^{85} + 1152974q^{88} + 293440q^{90} + 621014q^{91} + 478456q^{93} - 521270q^{94} - 1246430q^{96} - 1030446q^{97} - 590000q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).

\(n\) \(13\) \(23\)
\(\chi(n)\) \(e\left(\frac{1}{10}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.81967 + 8.67805i −0.498452 + 1.53408i 0.313056 + 0.949735i \(0.398647\pi\)
−0.811507 + 0.584342i \(0.801353\pi\)
\(3\) 12.9564 + 8.66789i 0.831152 + 0.556045i
\(4\) −41.4695 30.1293i −1.29592 0.941541i
\(5\) −53.2208 + 17.2925i −0.952043 + 0.309338i −0.743546 0.668685i \(-0.766857\pi\)
−0.208498 + 0.978023i \(0.566857\pi\)
\(6\) −111.753 + 87.9955i −1.26731 + 0.997889i
\(7\) −14.1075 + 19.4173i −0.108819 + 0.149776i −0.859953 0.510374i \(-0.829507\pi\)
0.751134 + 0.660150i \(0.229507\pi\)
\(8\) 142.170 103.293i 0.785387 0.570617i
\(9\) 92.7354 + 224.609i 0.381627 + 0.924316i
\(10\) 510.612i 1.61470i
\(11\) −240.584 321.202i −0.599494 0.800379i
\(12\) −276.136 749.820i −0.553567 1.50315i
\(13\) 323.676 + 105.169i 0.531192 + 0.172595i 0.562319 0.826921i \(-0.309909\pi\)
−0.0311266 + 0.999515i \(0.509909\pi\)
\(14\) −128.725 177.175i −0.175527 0.241592i
\(15\) −839.439 237.264i −0.963298 0.272273i
\(16\) −11.3712 34.9969i −0.0111047 0.0341767i
\(17\) 463.558 + 1426.69i 0.389029 + 1.19731i 0.933515 + 0.358538i \(0.116725\pi\)
−0.544486 + 0.838770i \(0.683275\pi\)
\(18\) −2210.65 + 171.440i −1.60820 + 0.124718i
\(19\) 167.174 + 230.095i 0.106239 + 0.146226i 0.858826 0.512267i \(-0.171194\pi\)
−0.752587 + 0.658493i \(0.771194\pi\)
\(20\) 2728.05 + 886.397i 1.52503 + 0.495511i
\(21\) −351.088 + 129.295i −0.173727 + 0.0639786i
\(22\) 3465.77 1182.12i 1.52666 0.520719i
\(23\) 4346.85i 1.71338i 0.515828 + 0.856692i \(0.327484\pi\)
−0.515828 + 0.856692i \(0.672516\pi\)
\(24\) 2737.34 105.984i 0.970065 0.0375587i
\(25\) 5.24910 3.81369i 0.00167971 0.00122038i
\(26\) −1825.32 + 2512.33i −0.529547 + 0.728859i
\(27\) −745.370 + 3713.94i −0.196772 + 0.980449i
\(28\) 1170.06 380.175i 0.282041 0.0916406i
\(29\) −6126.66 4451.28i −1.35278 0.982856i −0.998867 0.0475790i \(-0.984849\pi\)
−0.353917 0.935277i \(-0.615151\pi\)
\(30\) 4425.93 6615.68i 0.897845 1.34206i
\(31\) −937.995 + 2886.85i −0.175306 + 0.539536i −0.999647 0.0265569i \(-0.991546\pi\)
0.824341 + 0.566093i \(0.191546\pi\)
\(32\) 5959.20 1.02876
\(33\) −332.955 6246.96i −0.0532232 0.998583i
\(34\) −13687.9 −2.03067
\(35\) 415.038 1277.36i 0.0572688 0.176255i
\(36\) 2921.63 12108.5i 0.375724 1.55716i
\(37\) 10155.5 + 7378.41i 1.21954 + 0.886050i 0.996062 0.0886584i \(-0.0282579\pi\)
0.223481 + 0.974708i \(0.428258\pi\)
\(38\) −2468.16 + 801.952i −0.277277 + 0.0900927i
\(39\) 3282.07 + 4168.19i 0.345531 + 0.438819i
\(40\) −5780.23 + 7955.81i −0.571209 + 0.786202i
\(41\) 7654.67 5561.45i 0.711159 0.516688i −0.172388 0.985029i \(-0.555148\pi\)
0.883548 + 0.468342i \(0.155148\pi\)
\(42\) −132.079 3411.33i −0.0115534 0.298401i
\(43\) 8566.64i 0.706545i −0.935521 0.353272i \(-0.885069\pi\)
0.935521 0.353272i \(-0.114931\pi\)
\(44\) 299.294 + 20568.7i 0.0233059 + 1.60168i
\(45\) −8819.50 10350.2i −0.649251 0.761938i
\(46\) −37722.2 12256.7i −2.62846 0.854040i
\(47\) 7903.45 + 10878.2i 0.521882 + 0.718309i 0.985866 0.167535i \(-0.0535806\pi\)
−0.463984 + 0.885843i \(0.653581\pi\)
\(48\) 156.020 551.997i 0.00977411 0.0345807i
\(49\) 5015.64 + 15436.6i 0.298426 + 0.918460i
\(50\) 18.2947 + 56.3053i 0.00103490 + 0.00318511i
\(51\) −6360.32 + 22502.7i −0.342415 + 1.21146i
\(52\) −10254.0 14113.4i −0.525877 0.723808i
\(53\) −13026.0 4232.41i −0.636975 0.206966i −0.0273127 0.999627i \(-0.508695\pi\)
−0.609662 + 0.792661i \(0.708695\pi\)
\(54\) −30128.0 16940.4i −1.40600 0.790569i
\(55\) 18358.4 + 12934.3i 0.818332 + 0.576550i
\(56\) 4217.75i 0.179726i
\(57\) 171.529 + 4430.25i 0.00699280 + 0.180610i
\(58\) 55903.6 40616.3i 2.18207 1.58537i
\(59\) 24197.6 33305.1i 0.904985 1.24561i −0.0638654 0.997959i \(-0.520343\pi\)
0.968850 0.247647i \(-0.0796572\pi\)
\(60\) 27662.5 + 35130.9i 0.992002 + 1.25983i
\(61\) 43532.0 14144.4i 1.49790 0.486699i 0.558498 0.829506i \(-0.311378\pi\)
0.939406 + 0.342807i \(0.111378\pi\)
\(62\) −22407.4 16279.9i −0.740308 0.537865i
\(63\) −5669.55 1367.99i −0.179969 0.0434243i
\(64\) −16439.1 + 50594.3i −0.501681 + 1.54402i
\(65\) −19044.9 −0.559108
\(66\) 55150.3 + 14725.0i 1.55843 + 0.416097i
\(67\) 2238.85 0.0609308 0.0304654 0.999536i \(-0.490301\pi\)
0.0304654 + 0.999536i \(0.490301\pi\)
\(68\) 23761.6 73130.6i 0.623164 1.91790i
\(69\) −37678.0 + 56319.4i −0.952719 + 1.42408i
\(70\) 9914.69 + 7203.44i 0.241843 + 0.175709i
\(71\) −8804.09 + 2860.62i −0.207271 + 0.0673464i −0.410812 0.911720i \(-0.634755\pi\)
0.203541 + 0.979066i \(0.434755\pi\)
\(72\) 36384.7 + 22353.8i 0.827156 + 0.508183i
\(73\) 20981.1 28878.0i 0.460809 0.634250i −0.513867 0.857870i \(-0.671788\pi\)
0.974676 + 0.223620i \(0.0717875\pi\)
\(74\) −92665.3 + 67325.3i −1.96715 + 1.42922i
\(75\) 101.066 3.91305i 0.00207468 8.03271e-5i
\(76\) 14578.8i 0.289526i
\(77\) 9630.88 140.139i 0.185114 0.00269359i
\(78\) −45426.1 + 16729.1i −0.845413 + 0.311340i
\(79\) −35085.2 11399.9i −0.632493 0.205509i −0.0248139 0.999692i \(-0.507899\pi\)
−0.607679 + 0.794183i \(0.707899\pi\)
\(80\) 1210.37 + 1665.93i 0.0211443 + 0.0291026i
\(81\) −41849.3 + 41658.4i −0.708721 + 0.705489i
\(82\) 26678.9 + 82109.1i 0.438160 + 1.34852i
\(83\) 2008.17 + 6180.50i 0.0319966 + 0.0984756i 0.965779 0.259365i \(-0.0835132\pi\)
−0.933783 + 0.357840i \(0.883513\pi\)
\(84\) 18455.0 + 5216.24i 0.285375 + 0.0806602i
\(85\) −49341.9 67913.3i −0.740745 1.01955i
\(86\) 74341.8 + 24155.1i 1.08389 + 0.352178i
\(87\) −40796.1 110778.i −0.577857 1.56911i
\(88\) −67381.6 20814.7i −0.927545 0.286526i
\(89\) 4564.54i 0.0610833i −0.999533 0.0305416i \(-0.990277\pi\)
0.999533 0.0305416i \(-0.00972322\pi\)
\(90\) 114688. 47351.8i 1.49249 0.616212i
\(91\) −6608.32 + 4801.23i −0.0836542 + 0.0607783i
\(92\) 130968. 180261.i 1.61322 2.22041i
\(93\) −37175.9 + 29272.7i −0.445712 + 0.350958i
\(94\) −116686. + 37913.7i −1.36207 + 0.442565i
\(95\) −12876.1 9355.01i −0.146378 0.106349i
\(96\) 77209.6 + 51653.6i 0.855053 + 0.572035i
\(97\) −25591.8 + 78763.4i −0.276167 + 0.849954i 0.712742 + 0.701427i \(0.247453\pi\)
−0.988908 + 0.148527i \(0.952547\pi\)
\(98\) −148102. −1.55774
\(99\) 49834.1 83824.0i 0.511021 0.859568i
\(100\) −332.581 −0.00332581
\(101\) −15786.9 + 48587.1i −0.153990 + 0.473934i −0.998057 0.0623042i \(-0.980155\pi\)
0.844067 + 0.536238i \(0.180155\pi\)
\(102\) −177346. 118645.i −1.68780 1.12915i
\(103\) −12235.5 8889.61i −0.113639 0.0825638i 0.529514 0.848301i \(-0.322374\pi\)
−0.643153 + 0.765737i \(0.722374\pi\)
\(104\) 56880.2 18481.5i 0.515677 0.167554i
\(105\) 16449.4 12952.4i 0.145605 0.114651i
\(106\) 73458.2 101107.i 0.635003 0.874006i
\(107\) 115616. 84000.2i 0.976248 0.709286i 0.0193809 0.999812i \(-0.493830\pi\)
0.956867 + 0.290527i \(0.0938305\pi\)
\(108\) 142809. 131557.i 1.17813 1.08532i
\(109\) 92825.3i 0.748342i 0.927360 + 0.374171i \(0.122073\pi\)
−0.927360 + 0.374171i \(0.877927\pi\)
\(110\) −164009. + 122845.i −1.29237 + 0.968001i
\(111\) 67623.3 + 183624.i 0.520942 + 1.41456i
\(112\) 839.962 + 272.920i 0.00632725 + 0.00205585i
\(113\) −82095.3 112995.i −0.604815 0.832456i 0.391324 0.920253i \(-0.372017\pi\)
−0.996138 + 0.0877970i \(0.972017\pi\)
\(114\) −38929.6 11003.3i −0.280555 0.0792977i
\(115\) −75167.9 231343.i −0.530014 1.63122i
\(116\) 119955. + 369184.i 0.827702 + 2.54741i
\(117\) 6394.39 + 82453.2i 0.0431852 + 0.556856i
\(118\) 220794. + 303897.i 1.45976 + 2.00919i
\(119\) −34241.9 11125.9i −0.221662 0.0720223i
\(120\) −143851. + 52976.0i −0.911926 + 0.335835i
\(121\) −45289.9 + 154552.i −0.281214 + 0.959645i
\(122\) 417655.i 2.54050i
\(123\) 147383. 5706.33i 0.878383 0.0340090i
\(124\) 125877. 91455.1i 0.735178 0.534138i
\(125\) 102575. 141182.i 0.587173 0.808175i
\(126\) 27857.8 45343.3i 0.156322 0.254441i
\(127\) −89347.3 + 29030.7i −0.491555 + 0.159716i −0.544298 0.838892i \(-0.683204\pi\)
0.0527425 + 0.998608i \(0.483204\pi\)
\(128\) −238432. 173231.i −1.28629 0.934546i
\(129\) 74254.7 110993.i 0.392871 0.587246i
\(130\) 53700.3 165273.i 0.278688 0.857714i
\(131\) 78936.4 0.401883 0.200941 0.979603i \(-0.435600\pi\)
0.200941 + 0.979603i \(0.435600\pi\)
\(132\) −174409. + 269090.i −0.871234 + 1.34420i
\(133\) −6826.22 −0.0334620
\(134\) −6312.80 + 19428.8i −0.0303711 + 0.0934726i
\(135\) −24554.1 210548.i −0.115955 0.994299i
\(136\) 213270. + 154950.i 0.988743 + 0.718364i
\(137\) 240576. 78167.8i 1.09509 0.355817i 0.294880 0.955534i \(-0.404720\pi\)
0.800212 + 0.599718i \(0.204720\pi\)
\(138\) −382503. 485774.i −1.70977 2.17138i
\(139\) 164581. 226526.i 0.722507 0.994445i −0.276930 0.960890i \(-0.589317\pi\)
0.999437 0.0335552i \(-0.0106830\pi\)
\(140\) −55697.3 + 40466.4i −0.240167 + 0.174492i
\(141\) 8109.35 + 209448.i 0.0343509 + 0.887214i
\(142\) 84468.3i 0.351538i
\(143\) −44090.8 129267.i −0.180305 0.528625i
\(144\) 6806.10 5799.52i 0.0273522 0.0233070i
\(145\) 403040. + 130956.i 1.59194 + 0.517254i
\(146\) 191445. + 263502.i 0.743296 + 1.02306i
\(147\) −68817.8 + 243477.i −0.262668 + 0.929318i
\(148\) −198837. 611957.i −0.746178 2.29650i
\(149\) 65989.8 + 203096.i 0.243507 + 0.749437i 0.995878 + 0.0906982i \(0.0289099\pi\)
−0.752372 + 0.658739i \(0.771090\pi\)
\(150\) −251.015 + 888.089i −0.000910902 + 0.00322276i
\(151\) −182823. 251634.i −0.652511 0.898105i 0.346693 0.937979i \(-0.387304\pi\)
−0.999205 + 0.0398737i \(0.987304\pi\)
\(152\) 47534.4 + 15444.9i 0.166878 + 0.0542219i
\(153\) −277458. + 236424.i −0.958227 + 0.816511i
\(154\) −25939.8 + 83972.4i −0.0881382 + 0.285322i
\(155\) 169861.i 0.567890i
\(156\) −10521.1 271739.i −0.0346139 0.894006i
\(157\) −333242. + 242115.i −1.07897 + 0.783920i −0.977504 0.210918i \(-0.932355\pi\)
−0.101470 + 0.994839i \(0.532355\pi\)
\(158\) 197857. 272327.i 0.630535 0.867856i
\(159\) −132084. 167745.i −0.414341 0.526207i
\(160\) −317153. + 103049.i −0.979421 + 0.318233i
\(161\) −84403.8 61323.0i −0.256624 0.186448i
\(162\) −243512. 480633.i −0.729010 1.43889i
\(163\) −100275. + 308614.i −0.295612 + 0.909801i 0.687403 + 0.726277i \(0.258751\pi\)
−0.983015 + 0.183525i \(0.941249\pi\)
\(164\) −484998. −1.40809
\(165\) 125746. + 326711.i 0.359570 + 0.934230i
\(166\) −59297.1 −0.167018
\(167\) −68030.5 + 209376.i −0.188761 + 0.580947i −0.999993 0.00377790i \(-0.998797\pi\)
0.811232 + 0.584725i \(0.198797\pi\)
\(168\) −36559.0 + 54646.8i −0.0999359 + 0.149380i
\(169\) −206677. 150160.i −0.556641 0.404423i
\(170\) 728483. 236698.i 1.93329 0.628164i
\(171\) −36178.5 + 58886.8i −0.0946151 + 0.154002i
\(172\) −258107. + 355254.i −0.665241 + 0.915626i
\(173\) −617313. + 448504.i −1.56816 + 1.13933i −0.639265 + 0.768987i \(0.720761\pi\)
−0.928893 + 0.370347i \(0.879239\pi\)
\(174\) 1.07637e6 41674.4i 2.69517 0.104351i
\(175\) 155.725i 0.000384381i
\(176\) −8505.34 + 12072.1i −0.0206971 + 0.0293767i
\(177\) 602197. 221771.i 1.44479 0.532074i
\(178\) 39611.3 + 12870.5i 0.0937065 + 0.0304471i
\(179\) 46789.9 + 64400.7i 0.109149 + 0.150231i 0.860097 0.510131i \(-0.170403\pi\)
−0.750948 + 0.660361i \(0.770403\pi\)
\(180\) 53894.2 + 694945.i 0.123983 + 1.59871i
\(181\) 148359. + 456602.i 0.336602 + 1.03596i 0.965927 + 0.258814i \(0.0833315\pi\)
−0.629325 + 0.777142i \(0.716668\pi\)
\(182\) −23032.0 70885.2i −0.0515411 0.158627i
\(183\) 686619. + 194070.i 1.51561 + 0.428382i
\(184\) 448998. + 617993.i 0.977687 + 1.34567i
\(185\) −668075. 217071.i −1.43515 0.466307i
\(186\) −149206. 405154.i −0.316231 0.858693i
\(187\) 346729. 492133.i 0.725080 1.02915i
\(188\) 689237.i 1.42224i
\(189\) −61599.2 66867.3i −0.125435 0.136163i
\(190\) 117490. 85361.1i 0.236110 0.171544i
\(191\) 287345. 395496.i 0.569927 0.784438i −0.422619 0.906308i \(-0.638889\pi\)
0.992546 + 0.121870i \(0.0388891\pi\)
\(192\) −651537. + 513027.i −1.27552 + 1.00435i
\(193\) −142925. + 46439.1i −0.276194 + 0.0897409i −0.443839 0.896107i \(-0.646384\pi\)
0.167645 + 0.985847i \(0.446384\pi\)
\(194\) −611353. 444174.i −1.16624 0.847322i
\(195\) −246753. 165079.i −0.464704 0.310889i
\(196\) 257097. 791263.i 0.478032 1.47123i
\(197\) 419078. 0.769360 0.384680 0.923050i \(-0.374312\pi\)
0.384680 + 0.923050i \(0.374312\pi\)
\(198\) 586913. + 668819.i 1.06392 + 1.21240i
\(199\) −475363. −0.850928 −0.425464 0.904975i \(-0.639889\pi\)
−0.425464 + 0.904975i \(0.639889\pi\)
\(200\) 352.339 1084.39i 0.000622853 0.00191694i
\(201\) 29007.3 + 19406.1i 0.0506428 + 0.0338803i
\(202\) −377128. 273999.i −0.650294 0.472466i
\(203\) 172863. 56166.7i 0.294417 0.0956618i
\(204\) 941751. 741545.i 1.58439 1.24756i
\(205\) −311217. + 428353.i −0.517224 + 0.711897i
\(206\) 111644. 81114.5i 0.183303 0.133177i
\(207\) −976341. + 403107.i −1.58371 + 0.653874i
\(208\) 12523.5i 0.0200710i
\(209\) 33687.6 109054.i 0.0533463 0.172693i
\(210\) 66019.8 + 179270.i 0.103306 + 0.280517i
\(211\) 929029. + 301860.i 1.43656 + 0.466766i 0.920822 0.389982i \(-0.127519\pi\)
0.515735 + 0.856748i \(0.327519\pi\)
\(212\) 412663. + 567982.i 0.630602 + 0.867950i
\(213\) −138865. 39249.6i −0.209721 0.0592769i
\(214\) 402958. + 1.24018e6i 0.601486 + 1.85118i
\(215\) 148139. + 455924.i 0.218561 + 0.672661i
\(216\) 277653. + 605003.i 0.404919 + 0.882314i
\(217\) −42822.0 58939.5i −0.0617331 0.0849683i
\(218\) −805542. 261737.i −1.14801 0.373012i
\(219\) 522151. 192293.i 0.735674 0.270927i
\(220\) −371613. 1.08951e6i −0.517647 1.51766i
\(221\) 510535.i 0.703145i
\(222\) −1.78418e6 + 69079.2i −2.42971 + 0.0940730i
\(223\) 526712. 382679.i 0.709269 0.515314i −0.173669 0.984804i \(-0.555562\pi\)
0.882938 + 0.469490i \(0.155562\pi\)
\(224\) −84069.1 + 115711.i −0.111948 + 0.154083i
\(225\) 1343.37 + 825.330i 0.00176904 + 0.00108685i
\(226\) 1.21205e6 393820.i 1.57852 0.512893i
\(227\) 88901.1 + 64590.4i 0.114510 + 0.0831962i 0.643566 0.765390i \(-0.277454\pi\)
−0.529057 + 0.848587i \(0.677454\pi\)
\(228\) 126367. 188888.i 0.160989 0.240640i
\(229\) −156574. + 481884.i −0.197301 + 0.607231i 0.802641 + 0.596463i \(0.203428\pi\)
−0.999942 + 0.0107680i \(0.996572\pi\)
\(230\) 2.21955e6 2.76660
\(231\) 125996. + 81663.7i 0.155356 + 0.100693i
\(232\) −1.33081e6 −1.62329
\(233\) −65613.6 + 201938.i −0.0791779 + 0.243685i −0.982808 0.184628i \(-0.940892\pi\)
0.903630 + 0.428313i \(0.140892\pi\)
\(234\) −733563. 177000.i −0.875786 0.211317i
\(235\) −608739. 442275.i −0.719054 0.522423i
\(236\) −2.00692e6 + 652087.i −2.34558 + 0.762124i
\(237\) −355764. 451815.i −0.411425 0.522504i
\(238\) 193102. 265782.i 0.220975 0.304147i
\(239\) 750547. 545304.i 0.849929 0.617510i −0.0751971 0.997169i \(-0.523959\pi\)
0.925127 + 0.379659i \(0.123959\pi\)
\(240\) 1241.90 + 32075.7i 0.00139174 + 0.0359458i
\(241\) 238904.i 0.264961i −0.991186 0.132480i \(-0.957706\pi\)
0.991186 0.132480i \(-0.0422941\pi\)
\(242\) −1.21351e6 828813.i −1.33200 0.909741i
\(243\) −903305. + 176997.i −0.981339 + 0.192287i
\(244\) −2.23141e6 725029.i −2.39941 0.779616i
\(245\) −533873. 734813.i −0.568228 0.782099i
\(246\) −366051. + 1.29509e6i −0.385659 + 1.36446i
\(247\) 29911.4 + 92057.7i 0.0311956 + 0.0960103i
\(248\) 164836. + 507313.i 0.170186 + 0.523777i
\(249\) −27553.3 + 97483.5i −0.0281628 + 0.0996397i
\(250\) 935960. + 1.28824e6i 0.947125 + 1.30361i
\(251\) 579288. + 188222.i 0.580377 + 0.188576i 0.584469 0.811416i \(-0.301303\pi\)
−0.00409257 + 0.999992i \(0.501303\pi\)
\(252\) 193896. + 227550.i 0.192339 + 0.225722i
\(253\) 1.39621e6 1.04578e6i 1.37136 1.02716i
\(254\) 857217.i 0.833694i
\(255\) −50627.3 1.30760e6i −0.0487567 1.25929i
\(256\) 798389. 580063.i 0.761403 0.553191i
\(257\) 554448. 763132.i 0.523634 0.720721i −0.462509 0.886614i \(-0.653051\pi\)
0.986144 + 0.165894i \(0.0530509\pi\)
\(258\) 753826. + 957349.i 0.705053 + 0.895408i
\(259\) −286537. + 93101.4i −0.265418 + 0.0862396i
\(260\) 789782. + 573810.i 0.724559 + 0.526423i
\(261\) 431638. 1.78889e6i 0.392210 1.62549i
\(262\) −222575. + 685014.i −0.200319 + 0.616519i
\(263\) −378307. −0.337252 −0.168626 0.985680i \(-0.553933\pi\)
−0.168626 + 0.985680i \(0.553933\pi\)
\(264\) −692602. 853740.i −0.611609 0.753904i
\(265\) 766445. 0.670450
\(266\) 19247.7 59238.3i 0.0166792 0.0513332i
\(267\) 39565.0 59140.0i 0.0339651 0.0507695i
\(268\) −92843.7 67454.9i −0.0789615 0.0573689i
\(269\) −1.70238e6 + 553138.i −1.43442 + 0.466072i −0.920153 0.391558i \(-0.871936\pi\)
−0.514268 + 0.857630i \(0.671936\pi\)
\(270\) 1.89638e6 + 380595.i 1.58313 + 0.317727i
\(271\) 730950. 1.00607e6i 0.604595 0.832154i −0.391524 0.920168i \(-0.628052\pi\)
0.996119 + 0.0880139i \(0.0280520\pi\)
\(272\) 44658.4 32446.2i 0.0366000 0.0265914i
\(273\) −127236. + 4926.31i −0.103325 + 0.00400051i
\(274\) 2.30813e6i 1.85731i
\(275\) −2487.81 768.506i −0.00198375 0.000612795i
\(276\) 3.25935e6 1.20032e6i 2.57548 0.948474i
\(277\) −594283. 193094.i −0.465365 0.151206i 0.0669432 0.997757i \(-0.478675\pi\)
−0.532309 + 0.846550i \(0.678675\pi\)
\(278\) 1.50174e6 + 2.06697e6i 1.16542 + 1.60406i
\(279\) −735398. + 57031.4i −0.565603 + 0.0438635i
\(280\) −72935.5 224472.i −0.0555960 0.171107i
\(281\) −638.379 1964.73i −0.000482295 0.00148435i 0.950815 0.309759i \(-0.100248\pi\)
−0.951297 + 0.308275i \(0.900248\pi\)
\(282\) −1.84046e6 520200.i −1.37818 0.389536i
\(283\) −32468.7 44689.3i −0.0240990 0.0331694i 0.796798 0.604246i \(-0.206526\pi\)
−0.820896 + 0.571077i \(0.806526\pi\)
\(284\) 451289. + 146633.i 0.332016 + 0.107879i
\(285\) −85739.0 232815.i −0.0625268 0.169785i
\(286\) 1.24611e6 18132.1i 0.900824 0.0131079i
\(287\) 227091.i 0.162740i
\(288\) 552628. + 1.33849e6i 0.392602 + 0.950897i
\(289\) −671856. + 488132.i −0.473186 + 0.343790i
\(290\) −2.27288e6 + 3.12835e6i −1.58701 + 2.18434i
\(291\) −1.01429e6 + 798662.i −0.702149 + 0.552880i
\(292\) −1.74015e6 + 565409.i −1.19434 + 0.388066i
\(293\) 1.85154e6 + 1.34522e6i 1.25998 + 0.915428i 0.998757 0.0498505i \(-0.0158745\pi\)
0.261222 + 0.965279i \(0.415874\pi\)
\(294\) −1.91886e6 1.28373e6i −1.29472 0.866173i
\(295\) −711886. + 2.19096e6i −0.476272 + 1.46582i
\(296\) 2.20595e6 1.46341
\(297\) 1.37225e6 654099.i 0.902695 0.430281i
\(298\) −1.94854e6 −1.27107
\(299\) −457152. + 1.40697e6i −0.295721 + 0.910136i
\(300\) −4309.05 2882.78i −0.00276426 0.00184930i
\(301\) 166341. + 120854.i 0.105824 + 0.0768853i
\(302\) 2.69919e6 877021.i 1.70301 0.553341i
\(303\) −625689. + 492674.i −0.391518 + 0.308285i
\(304\) 6151.66 8467.04i 0.00381776 0.00525469i
\(305\) −2.07222e6 + 1.50555e6i −1.27552 + 0.926716i
\(306\) −1.26936e6 3.07443e6i −0.774961 1.87699i
\(307\) 2.28597e6i 1.38428i −0.721762 0.692142i \(-0.756667\pi\)
0.721762 0.692142i \(-0.243333\pi\)
\(308\) −403610. 284360.i −0.242429 0.170802i
\(309\) −81473.6 221233.i −0.0485423 0.131812i
\(310\) 1.47406e6 + 478952.i 0.871187 + 0.283066i
\(311\) 48412.4 + 66634.0i 0.0283829 + 0.0390656i 0.822973 0.568081i \(-0.192314\pi\)
−0.794590 + 0.607147i \(0.792314\pi\)
\(312\) 897157. + 253578.i 0.521773 + 0.147477i
\(313\) −743857. 2.28936e6i −0.429169 1.32085i −0.898945 0.438062i \(-0.855665\pi\)
0.469776 0.882786i \(-0.344335\pi\)
\(314\) −1.16145e6 3.57457e6i −0.664777 2.04597i
\(315\) 325394. 25234.9i 0.184771 0.0143293i
\(316\) 1.11149e6 + 1.52984e6i 0.626165 + 0.861842i
\(317\) 465887. + 151376.i 0.260395 + 0.0846074i 0.436305 0.899799i \(-0.356287\pi\)
−0.175910 + 0.984406i \(0.556287\pi\)
\(318\) 1.82813e6 673247.i 1.01377 0.373342i
\(319\) 44217.5 + 3.03880e6i 0.0243286 + 1.67196i
\(320\) 2.97694e6i 1.62516i
\(321\) 2.22607e6 86188.6i 1.20581 0.0466861i
\(322\) 770155. 559550.i 0.413941 0.300746i
\(323\) −250779. + 345167.i −0.133747 + 0.184087i
\(324\) 2.99061e6 466660.i 1.58269 0.246967i
\(325\) 2100.09 682.359i 0.00110288 0.000358348i
\(326\) −2.39543e6 1.74038e6i −1.24836 0.906984i
\(327\) −804599. + 1.20268e6i −0.416112 + 0.621986i
\(328\) 513810. 1.58134e6i 0.263705 0.811600i
\(329\) −322722. −0.164376
\(330\) −3.18977e6 + 170011.i −1.61241 + 0.0859394i
\(331\) 1.26625e6 0.635257 0.317628 0.948215i \(-0.397114\pi\)
0.317628 + 0.948215i \(0.397114\pi\)
\(332\) 102937. 316807.i 0.0512537 0.157743i
\(333\) −715480. + 2.96526e6i −0.353580 + 1.46538i
\(334\) −1.62515e6 1.18074e6i −0.797129 0.579148i
\(335\) −119153. + 38715.2i −0.0580088 + 0.0188482i
\(336\) 8517.23 + 10816.8i 0.00411576 + 0.00522696i
\(337\) −784954. + 1.08040e6i −0.376504 + 0.518213i −0.954654 0.297717i \(-0.903775\pi\)
0.578150 + 0.815930i \(0.303775\pi\)
\(338\) 1.88585e6 1.37015e6i 0.897875 0.652345i
\(339\) −84234.1 2.17559e6i −0.0398097 1.02820i
\(340\) 4.30297e6i 2.01869i
\(341\) 1.15293e6 393245.i 0.536928 0.183137i
\(342\) −409011. 480000.i −0.189090 0.221910i
\(343\) −754136. 245034.i −0.346110 0.112458i
\(344\) −884872. 1.21792e6i −0.403166 0.554911i
\(345\) 1.03135e6 3.64891e6i 0.466508 1.65050i
\(346\) −2.15152e6 6.62170e6i −0.966174 2.97358i
\(347\) −1.31920e6 4.06008e6i −0.588149 1.81014i −0.586239 0.810138i \(-0.699392\pi\)
−0.00190977 0.999998i \(-0.500608\pi\)
\(348\) −1.64586e6 + 5.82305e6i −0.728527 + 2.57752i
\(349\) −360605. 496330.i −0.158478 0.218126i 0.722393 0.691483i \(-0.243042\pi\)
−0.880871 + 0.473357i \(0.843042\pi\)
\(350\) −1351.39 439.092i −0.000589670 0.000191596i
\(351\) −631847. + 1.12372e6i −0.273744 + 0.486845i
\(352\) −1.43369e6 1.91410e6i −0.616733 0.823396i
\(353\) 2.69449e6i 1.15091i 0.817835 + 0.575453i \(0.195174\pi\)
−0.817835 + 0.575453i \(0.804826\pi\)
\(354\) 226546. + 5.85122e6i 0.0960834 + 2.48164i
\(355\) 419094. 304489.i 0.176498 0.128233i
\(356\) −137527. + 189289.i −0.0575125 + 0.0791591i
\(357\) −347214. 440956.i −0.144187 0.183115i
\(358\) −690805. + 224456.i −0.284871 + 0.0925601i
\(359\) 1.69085e6 + 1.22847e6i 0.692417 + 0.503071i 0.877454 0.479661i \(-0.159240\pi\)
−0.185037 + 0.982732i \(0.559240\pi\)
\(360\) −2.32298e6 560506.i −0.944688 0.227942i
\(361\) 740160. 2.27798e6i 0.298922 0.919987i
\(362\) −4.38074e6 −1.75702
\(363\) −1.92643e6 + 1.60986e6i −0.767338 + 0.641243i
\(364\) 418701. 0.165635
\(365\) −617259. + 1.89973e6i −0.242513 + 0.746379i
\(366\) −3.62019e6 + 5.41130e6i −1.41263 + 2.11154i
\(367\) 3.45119e6 + 2.50744e6i 1.33753 + 0.971774i 0.999531 + 0.0306280i \(0.00975071\pi\)
0.338001 + 0.941146i \(0.390249\pi\)
\(368\) 152126. 49428.8i 0.0585578 0.0190266i
\(369\) 1.95901e6 + 1.20356e6i 0.748981 + 0.460154i
\(370\) 3.76750e6 5.18552e6i 1.43070 1.96919i
\(371\) 265946. 193221.i 0.100313 0.0728819i
\(372\) 2.42363e6 93837.6i 0.908050 0.0351576i
\(373\) 2.09404e6i 0.779316i 0.920960 + 0.389658i \(0.127407\pi\)
−0.920960 + 0.389658i \(0.872593\pi\)
\(374\) 3.29309e6 + 4.39658e6i 1.21738 + 1.62531i
\(375\) 2.55275e6 940103.i 0.937412 0.345221i
\(376\) 2.24727e6 + 730183.i 0.819758 + 0.266356i
\(377\) −1.51492e6 2.08510e6i −0.548953 0.755569i
\(378\) 753967. 346017.i 0.271408 0.124557i
\(379\) 213658. + 657572.i 0.0764049 + 0.235150i 0.981963 0.189071i \(-0.0605478\pi\)
−0.905558 + 0.424222i \(0.860548\pi\)
\(380\) 252103. + 775895.i 0.0895612 + 0.275641i
\(381\) −1.40925e6 398320.i −0.497366 0.140579i
\(382\) 2.62192e6 + 3.60876e6i 0.919306 + 1.26532i
\(383\) −1.58703e6 515657.i −0.552825 0.179624i 0.0192653 0.999814i \(-0.493867\pi\)
−0.572090 + 0.820191i \(0.693867\pi\)
\(384\) −1.58767e6 4.31115e6i −0.549454 1.49199i
\(385\) −510140. + 174000.i −0.175403 + 0.0598271i
\(386\) 1.37125e6i 0.468435i
\(387\) 1.92414e6 794431.i 0.653071 0.269637i
\(388\) 3.43437e6 2.49521e6i 1.15816 0.841450i
\(389\) 395860. 544854.i 0.132638 0.182560i −0.737532 0.675312i \(-0.764009\pi\)
0.870170 + 0.492752i \(0.164009\pi\)
\(390\) 2.12833e6 1.67587e6i 0.708560 0.557928i
\(391\) −6.20158e6 + 2.01502e6i −2.05145 + 0.666556i
\(392\) 2.30756e6 + 1.67654e6i 0.758468 + 0.551060i
\(393\) 1.02273e6 + 684212.i 0.334025 + 0.223465i
\(394\) −1.18166e6 + 3.63678e6i −0.383489 + 1.18026i
\(395\) 2.06439e6 0.665733
\(396\) −4.59215e6 + 1.97467e6i −1.47156 + 0.632785i
\(397\) 1.53971e6 0.490301 0.245150 0.969485i \(-0.421163\pi\)
0.245150 + 0.969485i \(0.421163\pi\)
\(398\) 1.34037e6 4.12522e6i 0.424147 1.30539i
\(399\) −88443.1 59168.9i −0.0278120 0.0186064i
\(400\) −193.156 140.336i −6.03613e−5 4.38550e-5i
\(401\) −1.23476e6 + 401199.i −0.383462 + 0.124594i −0.494404 0.869232i \(-0.664613\pi\)
0.110941 + 0.993827i \(0.464613\pi\)
\(402\) −250198. + 197008.i −0.0772180 + 0.0608022i
\(403\) −607212. + 835756.i −0.186242 + 0.256340i
\(404\) 2.11857e6 1.53923e6i 0.645788 0.469192i
\(405\) 1.50688e6 2.94077e6i 0.456499 0.890890i
\(406\) 1.65849e6i 0.499341i
\(407\) −73294.5 5.03709e6i −0.0219324 1.50728i
\(408\) 1.42012e6 + 3.85620e6i 0.422353 + 1.14686i
\(409\) −370646. 120430.i −0.109560 0.0355981i 0.253724 0.967277i \(-0.418344\pi\)
−0.363284 + 0.931679i \(0.618344\pi\)
\(410\) −2.83974e6 3.90857e6i −0.834294 1.14831i
\(411\) 3.79454e6 + 1.07251e6i 1.10804 + 0.313183i
\(412\) 239561. + 737294.i 0.0695303 + 0.213992i
\(413\) 305327. + 939700.i 0.0880826 + 0.271090i
\(414\) −745223. 9.60936e6i −0.213690 2.75546i
\(415\) −213753. 294205.i −0.0609244 0.0838552i
\(416\) 1.92885e6 + 626720.i 0.546467 + 0.177558i
\(417\) 4.09587e6 1.50839e6i 1.15347 0.424789i
\(418\) 851386. + 599839.i 0.238334 + 0.167917i
\(419\) 4.68106e6i 1.30259i 0.758823 + 0.651297i \(0.225775\pi\)
−0.758823 + 0.651297i \(0.774225\pi\)
\(420\) −1.07239e6 + 41520.7i −0.296641 + 0.0114853i
\(421\) 2.04422e6 1.48521e6i 0.562110 0.408397i −0.270120 0.962827i \(-0.587063\pi\)
0.832231 + 0.554429i \(0.187063\pi\)
\(422\) −5.23911e6 + 7.21101e6i −1.43211 + 1.97113i
\(423\) −1.71040e6 + 2.78398e6i −0.464780 + 0.756510i
\(424\) −2.28909e6 + 743771.i −0.618370 + 0.200921i
\(425\) 7874.20 + 5720.94i 0.00211463 + 0.00153637i
\(426\) 732162. 1.09440e6i 0.195471 0.292182i
\(427\) −339480. + 1.04481e6i −0.0901042 + 0.277312i
\(428\) −7.32542e6 −1.93296
\(429\) 549214. 2.05701e6i 0.144078 0.539625i
\(430\) −4.37423e6 −1.14086
\(431\) 1.74469e6 5.36960e6i 0.452402 1.39235i −0.421756 0.906710i \(-0.638586\pi\)
0.874158 0.485642i \(-0.161414\pi\)
\(432\) 138452. 16146.2i 0.0356936 0.00416257i
\(433\) −4.27162e6 3.10351e6i −1.09490 0.795489i −0.114677 0.993403i \(-0.536583\pi\)
−0.980219 + 0.197914i \(0.936583\pi\)
\(434\) 632223. 205422.i 0.161119 0.0523507i
\(435\) 4.08683e6 + 5.19021e6i 1.03553 + 1.31511i
\(436\) 2.79676e6 3.84941e6i 0.704595 0.969791i
\(437\) −1.00019e6 + 726681.i −0.250541 + 0.182029i
\(438\) 196433. + 5.07345e6i 0.0489247 + 1.26362i
\(439\) 579243.i 0.143450i 0.997424 + 0.0717248i \(0.0228503\pi\)
−0.997424 + 0.0717248i \(0.977150\pi\)
\(440\) 3.94605e6 57418.8i 0.971696 0.0141391i
\(441\) −3.00206e6 + 2.55807e6i −0.735060 + 0.626349i
\(442\) −4.43045e6 1.43954e6i −1.07868 0.350484i
\(443\) −1.29735e6 1.78565e6i −0.314085 0.432302i 0.622564 0.782569i \(-0.286091\pi\)
−0.936650 + 0.350267i \(0.886091\pi\)
\(444\) 2.72817e6 9.65224e6i 0.656771 2.32365i
\(445\) 78932.4 + 242929.i 0.0188954 + 0.0581539i
\(446\) 1.83575e6 + 5.64986e6i 0.436995 + 1.34493i
\(447\) −905423. + 3.20338e6i −0.214330 + 0.758297i
\(448\) −750488. 1.03296e6i −0.176664 0.243158i
\(449\) 6.51034e6 + 2.11534e6i 1.52401 + 0.495181i 0.946912 0.321493i \(-0.104185\pi\)
0.577099 + 0.816674i \(0.304185\pi\)
\(450\) −10950.1 + 9330.65i −0.00254910 + 0.00217210i
\(451\) −3.62793e6 1.12070e6i −0.839882 0.259446i
\(452\) 7.15930e6i 1.64826i
\(453\) −187586. 4.84495e6i −0.0429491 1.10929i
\(454\) −811190. + 589364.i −0.184707 + 0.134197i
\(455\) 268675. 369800.i 0.0608414 0.0837410i
\(456\) 481999. + 612132.i 0.108551 + 0.137858i
\(457\) 2.11495e6 687188.i 0.473706 0.153917i −0.0624275 0.998050i \(-0.519884\pi\)
0.536134 + 0.844133i \(0.319884\pi\)
\(458\) −3.74033e6 2.71751e6i −0.833193 0.605350i
\(459\) −5.64414e6 + 658218.i −1.25045 + 0.145827i
\(460\) −3.85303e6 + 1.18584e7i −0.849001 + 2.61296i
\(461\) −4.71411e6 −1.03311 −0.516557 0.856253i \(-0.672786\pi\)
−0.516557 + 0.856253i \(0.672786\pi\)
\(462\) −1.06395e6 + 863135.i −0.231908 + 0.188137i
\(463\) −4.84139e6 −1.04959 −0.524793 0.851230i \(-0.675857\pi\)
−0.524793 + 0.851230i \(0.675857\pi\)
\(464\) −86113.6 + 265030.i −0.0185685 + 0.0571480i
\(465\) 1.47234e6 2.20078e6i 0.315773 0.472003i
\(466\) −1.56742e6 1.13880e6i −0.334365 0.242930i
\(467\) 1.46286e6 475311.i 0.310391 0.100852i −0.149679 0.988735i \(-0.547824\pi\)
0.460070 + 0.887882i \(0.347824\pi\)
\(468\) 2.21909e6 3.61195e6i 0.468339 0.762302i
\(469\) −31584.4 + 43472.2i −0.00663042 + 0.00912599i
\(470\) 5.55452e6 4.03560e6i 1.15985 0.842681i
\(471\) −6.41623e6 + 248422.i −1.33269 + 0.0515986i
\(472\) 7.23442e6i 1.49468i
\(473\) −2.75162e6 + 2.06100e6i −0.565504 + 0.423569i
\(474\) 4.92401e6 1.81337e6i 1.00664 0.370715i
\(475\) 1755.03 + 570.243i 0.000356903 + 0.000115965i
\(476\) 1.08478e6 + 1.49307e6i 0.219444 + 0.302039i
\(477\) −257337. 3.31826e6i −0.0517852 0.667750i
\(478\) 2.61588e6 + 8.05086e6i 0.523659 + 1.61166i
\(479\) 822748. + 2.53216e6i 0.163843 + 0.504257i 0.998949 0.0458317i \(-0.0145938\pi\)
−0.835106 + 0.550089i \(0.814594\pi\)
\(480\) −5.00238e6 1.41390e6i −0.991000 0.280102i
\(481\) 2.51111e6 + 3.45625e6i 0.494884 + 0.681149i
\(482\) 2.07322e6 + 673631.i 0.406470 + 0.132070i
\(483\) −562027. 1.52613e6i −0.109620 0.297662i
\(484\) 6.53469e6 5.04463e6i 1.26798 0.978849i
\(485\) 4.63440e6i 0.894622i
\(486\) 1.01104e6 8.33800e6i 0.194167 1.60129i
\(487\) 1.99995e6 1.45305e6i 0.382118 0.277625i −0.380100 0.924945i \(-0.624110\pi\)
0.762218 + 0.647320i \(0.224110\pi\)
\(488\) 4.72794e6 6.50745e6i 0.898716 1.23698i
\(489\) −3.97423e6 + 3.12935e6i −0.751590 + 0.591809i
\(490\) 7.88209e6 2.56105e6i 1.48303 0.481867i
\(491\) 8.38797e6 + 6.09421e6i 1.57019 + 1.14081i 0.926972 + 0.375131i \(0.122402\pi\)
0.643221 + 0.765680i \(0.277598\pi\)
\(492\) −6.28381e6 4.20391e6i −1.17034 0.782961i
\(493\) 3.51051e6 1.08042e7i 0.650509 2.00206i
\(494\) −883222. −0.162837
\(495\) −1.20268e6 + 5.32294e6i −0.220617 + 0.976424i
\(496\) 111697. 0.0203863
\(497\) 68657.9 211307.i 0.0124681 0.0383728i
\(498\) −768275. 513980.i −0.138817 0.0928695i
\(499\) 4.08787e6 + 2.97001e6i 0.734929 + 0.533957i 0.891119 0.453770i \(-0.149921\pi\)
−0.156190 + 0.987727i \(0.549921\pi\)
\(500\) −8.50746e6 + 2.76424e6i −1.52186 + 0.494482i
\(501\) −2.69628e6 + 2.12308e6i −0.479922 + 0.377895i
\(502\) −3.26680e6 + 4.49636e6i −0.578580 + 0.796347i
\(503\) −2.03741e6 + 1.48027e6i −0.359053 + 0.260867i −0.752657 0.658413i \(-0.771228\pi\)
0.393604 + 0.919280i \(0.371228\pi\)
\(504\) −947345. + 391135.i −0.166124 + 0.0685884i
\(505\) 2.85884e6i 0.498841i
\(506\) 5.13848e6 + 1.50652e7i 0.892192 + 2.61576i
\(507\) −1.37622e6 3.73698e6i −0.237776 0.645655i
\(508\) 4.57986e6 + 1.48809e6i 0.787396 + 0.255840i
\(509\) −4.74818e6 6.53531e6i −0.812330 1.11808i −0.990960 0.134160i \(-0.957166\pi\)
0.178629 0.983916i \(-0.442834\pi\)
\(510\) 1.14902e7 + 3.24765e6i 1.95615 + 0.552897i
\(511\) 264742. + 814791.i 0.0448508 + 0.138036i
\(512\) −131708. 405356.i −0.0222043 0.0683379i
\(513\) −979167. + 449368.i −0.164272 + 0.0753891i
\(514\) 5.05914e6 + 6.96331e6i 0.844634 + 1.16254i
\(515\) 804907. + 261530.i 0.133730 + 0.0434514i
\(516\) −6.42344e6 + 2.36556e6i −1.06205 + 0.391120i
\(517\) 1.59264e6 5.15571e6i 0.262055 0.848325i
\(518\) 2.74909e6i 0.450158i
\(519\) −1.18857e7 + 460188.i −1.93690 + 0.0749924i
\(520\) −2.70762e6 + 1.96720e6i −0.439116 + 0.319036i
\(521\) −942849. + 1.29772e6i −0.152177 + 0.209453i −0.878298 0.478113i \(-0.841321\pi\)
0.726122 + 0.687566i \(0.241321\pi\)
\(522\) 1.43070e7 + 8.78987e6i 2.29812 + 1.41191i
\(523\) 1.00363e7 3.26098e6i 1.60442 0.521308i 0.636225 0.771504i \(-0.280495\pi\)
0.968195 + 0.250196i \(0.0804950\pi\)
\(524\) −3.27345e6 2.37830e6i −0.520808 0.378389i
\(525\) −1349.80 + 2017.63i −0.000213733 + 0.000319479i
\(526\) 1.06670e6 3.28297e6i 0.168104 0.517371i
\(527\) −4.55345e6 −0.714190
\(528\) −214838. + 82687.8i −0.0335372 + 0.0129079i
\(529\) −1.24587e7 −1.93569
\(530\) −2.16112e6 + 6.65125e6i −0.334187 + 1.02852i
\(531\) 9.72458e6 + 2.34643e6i 1.49670 + 0.361136i
\(532\) 283080. + 205670.i 0.0433640 + 0.0315058i
\(533\) 3.06252e6 995073.i 0.466940 0.151718i
\(534\) 401659. + 510102.i 0.0609544 + 0.0774112i
\(535\) −4.70063e6 + 6.46986e6i −0.710021 + 0.977261i
\(536\) 318297. 231257.i 0.0478543 0.0347682i
\(537\) 48008.8 + 1.23997e6i 0.00718431 + 0.185556i
\(538\) 1.63330e7i 2.43283i
\(539\) 3.75156e6 5.32482e6i 0.556212 0.789465i
\(540\) −5.32543e6 + 9.47112e6i −0.785906 + 1.39771i
\(541\) 3.94948e6 + 1.28326e6i 0.580158 + 0.188505i 0.584371 0.811486i \(-0.301341\pi\)
−0.00421320 + 0.999991i \(0.501341\pi\)
\(542\) 6.66966e6 + 9.18000e6i 0.975227 + 1.34228i
\(543\) −2.03558e6 + 7.20187e6i −0.296271 + 1.04820i
\(544\) 2.76243e6 + 8.50190e6i 0.400216 + 1.23174i
\(545\) −1.60518e6 4.94024e6i −0.231490 0.712454i
\(546\) 316014. 1.11805e6i 0.0453654 0.160502i
\(547\) −1.95335e6 2.68856e6i −0.279134 0.384194i 0.646313 0.763072i \(-0.276310\pi\)
−0.925447 + 0.378878i \(0.876310\pi\)
\(548\) −1.23317e7 4.00681e6i −1.75417 0.569963i
\(549\) 7.21392e6 + 8.46599e6i 1.02150 + 1.19880i
\(550\) 13683.9 19422.4i 0.00192888 0.00273777i
\(551\) 2.15385e6i 0.302230i
\(552\) 460695. + 1.18988e7i 0.0643526 + 1.66209i
\(553\) 716316. 520434.i 0.0996075 0.0723691i
\(554\) 3.35136e6 4.61276e6i 0.463924 0.638537i
\(555\) −6.77429e6 8.60326e6i −0.933537 1.18558i
\(556\) −1.36501e7 + 4.43520e6i −1.87262 + 0.608452i
\(557\) 2.44526e6 + 1.77659e6i 0.333954 + 0.242632i 0.742107 0.670282i \(-0.233827\pi\)
−0.408152 + 0.912914i \(0.633827\pi\)
\(558\) 1.57866e6 6.54263e6i 0.214636 0.889543i
\(559\) 900942. 2.77281e6i 0.121946 0.375311i
\(560\) −49423.0 −0.00665976
\(561\) 8.75810e6 3.37085e6i 1.17491 0.452202i
\(562\) 18850.0 0.00251751
\(563\) 4.10093e6 1.26214e7i 0.545270 1.67817i −0.175077 0.984555i \(-0.556017\pi\)
0.720347 0.693614i \(-0.243983\pi\)
\(564\) 5.97423e6 8.93002e6i 0.790832 1.18210i
\(565\) 6.32314e6 + 4.59403e6i 0.833320 + 0.605442i
\(566\) 479367. 155756.i 0.0628966 0.0204363i
\(567\) −218504. 1.40029e6i −0.0285432 0.182920i
\(568\) −956198. + 1.31609e6i −0.124359 + 0.171165i
\(569\) −8.85568e6 + 6.43403e6i −1.14668 + 0.833110i −0.988036 0.154226i \(-0.950711\pi\)
−0.158642 + 0.987336i \(0.550711\pi\)
\(570\) 2.26214e6 87584.9i 0.291630 0.0112913i
\(571\) 3.15547e6i 0.405017i 0.979280 + 0.202509i \(0.0649094\pi\)
−0.979280 + 0.202509i \(0.935091\pi\)
\(572\) −2.06630e6 + 6.68906e6i −0.264061 + 0.854820i
\(573\) 7.15106e6 2.63352e6i 0.909879 0.335082i
\(574\) −1.97070e6 640320.i −0.249656 0.0811180i
\(575\) 16577.5 + 22817.0i 0.00209098 + 0.00287799i
\(576\) −1.28884e7 + 999519.i −1.61861 + 0.125526i
\(577\) 2.00362e6 + 6.16650e6i 0.250539 + 0.771080i 0.994676 + 0.103053i \(0.0328611\pi\)
−0.744137 + 0.668027i \(0.767139\pi\)
\(578\) −2.34162e6 7.20677e6i −0.291539 0.897266i
\(579\) −2.25432e6 637174.i −0.279459 0.0789881i
\(580\) −1.27682e7 1.75740e7i −1.57602 2.16920i
\(581\) −148338. 48198.1i −0.0182311 0.00592365i
\(582\) −4.07087e6 1.10540e7i −0.498172 1.35274i
\(583\) 1.77439e6 + 5.20223e6i 0.216211 + 0.633896i
\(584\) 6.27279e6i 0.761077i
\(585\) −1.76614e6 4.27766e6i −0.213371 0.516792i
\(586\) −1.68946e7 + 1.22747e7i −2.03238 + 1.47661i
\(587\) 4.56743e6 6.28653e6i 0.547113 0.753036i −0.442504 0.896767i \(-0.645910\pi\)
0.989617 + 0.143730i \(0.0459097\pi\)
\(588\) 1.01896e7 8.02342e6i 1.21539 0.957009i
\(589\) −821060. + 266779.i −0.0975185 + 0.0316857i
\(590\) −1.70060e7 1.23556e7i −2.01128 1.46128i
\(591\) 5.42974e6 + 3.63252e6i 0.639455 + 0.427799i
\(592\) 142741. 439312.i 0.0167396 0.0515192i
\(593\) −881524. −0.102943 −0.0514716 0.998674i \(-0.516391\pi\)
−0.0514716 + 0.998674i \(0.516391\pi\)
\(594\) 1.80703e6 + 1.37528e7i 0.210135 + 1.59928i
\(595\) 2.01478e6 0.233311
\(596\) 3.38258e6 1.04105e7i 0.390061 1.20048i
\(597\) −6.15898e6 4.12039e6i −0.707250 0.473155i
\(598\) −1.09207e7 7.93437e6i −1.24882 0.907318i
\(599\) 1.00761e7 3.27392e6i 1.14743 0.372822i 0.327254 0.944936i \(-0.393877\pi\)
0.820174 + 0.572114i \(0.193877\pi\)
\(600\) 13964.4 10995.7i 0.00158359 0.00124694i
\(601\) −2.91652e6 + 4.01424e6i −0.329366 + 0.453333i −0.941298 0.337577i \(-0.890393\pi\)
0.611932 + 0.790910i \(0.290393\pi\)
\(602\) −1.51780e6 + 1.10275e6i −0.170696 + 0.124018i
\(603\) 207620. + 502865.i 0.0232529 + 0.0563194i
\(604\) 1.59435e7i 1.77824i
\(605\) −262222. 9.00855e6i −0.0291260 1.00061i
\(606\) −2.51121e6 6.81894e6i −0.277781 0.754285i
\(607\) −856259. 278216.i −0.0943265 0.0306485i 0.261474 0.965211i \(-0.415792\pi\)
−0.355800 + 0.934562i \(0.615792\pi\)
\(608\) 996223. + 1.37118e6i 0.109294 + 0.150431i
\(609\) 2.72653e6 + 770643.i 0.297897 + 0.0841995i
\(610\) −7.22231e6 2.22280e7i −0.785871 2.41866i
\(611\) 1.41411e6 + 4.35219e6i 0.153243 + 0.471634i
\(612\) 1.86293e7 1.44474e6i 2.01057 0.155923i
\(613\) 7.96322e6 + 1.09604e7i 0.855929 + 1.17808i 0.982525 + 0.186131i \(0.0595947\pi\)
−0.126596 + 0.991954i \(0.540405\pi\)
\(614\) 1.98378e7 + 6.44569e6i 2.12360 + 0.689999i
\(615\) −7.74516e6 + 2.85231e6i −0.825739 + 0.304095i
\(616\) 1.35475e6 1.01472e6i 0.143849 0.107745i
\(617\) 9.33490e6i 0.987181i 0.869694 + 0.493590i \(0.164316\pi\)
−0.869694 + 0.493590i \(0.835684\pi\)
\(618\) 2.14960e6 83227.6i 0.226405 0.00876590i
\(619\) 9.73044e6 7.06958e6i 1.02072 0.741595i 0.0542882 0.998525i \(-0.482711\pi\)
0.966430 + 0.256930i \(0.0827110\pi\)
\(620\) −5.11780e6 + 7.04405e6i −0.534692 + 0.735941i
\(621\) −1.61439e7 3.24001e6i −1.67989 0.337145i
\(622\) −714760. + 232240.i −0.0740772 + 0.0240691i
\(623\) 88630.9 + 64394.1i 0.00914882 + 0.00664701i
\(624\) 108553. 162260.i 0.0111604 0.0166820i
\(625\) −3.02400e6 + 9.30690e6i −0.309657 + 0.953027i
\(626\) 2.19646e7 2.24020
\(627\) 1.38174e6 1.12094e6i 0.140364 0.113871i
\(628\) 2.11141e7 2.13636
\(629\) −5.81900e6 + 1.79090e7i −0.586437 + 1.80487i
\(630\) −698514. + 2.89494e6i −0.0701171 + 0.290595i
\(631\) −968375. 703566.i −0.0968212 0.0703447i 0.538321 0.842740i \(-0.319059\pi\)
−0.635143 + 0.772395i \(0.719059\pi\)
\(632\) −6.16559e6 + 2.00332e6i −0.614019 + 0.199507i
\(633\) 9.42036e6 + 1.19637e7i 0.934455 + 1.18674i
\(634\) −2.62729e6 + 3.61616e6i −0.259589 + 0.357293i
\(635\) 4.25313e6 3.09008e6i 0.418576 0.304113i
\(636\) 423413. + 1.09359e7i 0.0415070 + 1.07204i
\(637\) 5.52392e6i 0.539385i
\(638\) −2.64955e7 8.18468e6i −2.57704 0.796068i
\(639\) −1.45897e6 1.71219e6i −0.141350 0.165883i
\(640\) 1.56852e7 + 5.09641e6i 1.51370 + 0.491830i
\(641\) 6.11846e6 + 8.42134e6i 0.588163 + 0.809536i 0.994561 0.104160i \(-0.0332154\pi\)
−0.406398 + 0.913696i \(0.633215\pi\)
\(642\) −5.52884e6 + 1.95610e7i −0.529416 + 1.87307i
\(643\) −3.10815e6 9.56589e6i −0.296466 0.912427i −0.982725 0.185071i \(-0.940749\pi\)
0.686260 0.727357i \(-0.259251\pi\)
\(644\) 1.65256e6 + 5.08606e6i 0.157016 + 0.483245i
\(645\) −2.03256e6 + 7.19117e6i −0.192373 + 0.680613i
\(646\) −2.28827e6 3.14953e6i −0.215737 0.296937i
\(647\) −4.92500e6 1.60023e6i −0.462536 0.150287i 0.0684733 0.997653i \(-0.478187\pi\)
−0.531010 + 0.847366i \(0.678187\pi\)
\(648\) −1.64671e6 + 1.02453e7i −0.154057 + 0.958490i
\(649\) −1.65192e7 + 240370.i −1.53949 + 0.0224011i
\(650\) 20148.7i 0.00187052i
\(651\) −43937.6 1.13482e6i −0.00406335 0.104948i
\(652\) 1.34567e7 9.77684e6i 1.23971 0.900699i
\(653\) −1.65998e6 + 2.28476e6i −0.152342 + 0.209680i −0.878366 0.477989i \(-0.841366\pi\)
0.726024 + 0.687669i \(0.241366\pi\)
\(654\) −8.16821e6 1.03735e7i −0.746762 0.948378i
\(655\) −4.20106e6 + 1.36501e6i −0.382610 + 0.124317i
\(656\) −281676. 204650.i −0.0255559 0.0185674i
\(657\) 8.43195e6 + 2.03453e6i 0.762105 + 0.183887i
\(658\) 909969. 2.80060e6i 0.0819335 0.252165i
\(659\) −4.36667e6 −0.391685 −0.195842 0.980635i \(-0.562744\pi\)
−0.195842 + 0.980635i \(0.562744\pi\)
\(660\) 4.62897e6 1.73372e7i 0.413642 1.54924i
\(661\) −6.18315e6 −0.550435 −0.275218 0.961382i \(-0.588750\pi\)
−0.275218 + 0.961382i \(0.588750\pi\)
\(662\) −3.57041e6 + 1.09886e7i −0.316645 + 0.974533i
\(663\) −4.42526e6 + 6.61468e6i −0.390980 + 0.584420i
\(664\) 923902. + 671254.i 0.0813216 + 0.0590836i
\(665\) 363297. 118042.i 0.0318572 0.0103510i
\(666\) −2.37152e7 1.45700e7i −2.07177 1.27284i
\(667\) 1.93490e7 2.66317e7i 1.68401 2.31784i
\(668\) 9.12955e6 6.63301e6i 0.791605 0.575135i
\(669\) 1.01413e7 392648.i 0.876048 0.0339186i
\(670\) 1.14318e6i 0.0983849i
\(671\) −1.50163e7 1.05796e7i −1.28753 0.907119i
\(672\) −2.09220e6 + 770496.i −0.178723 + 0.0658184i
\(673\) 1.12533e7 + 3.65641e6i 0.957725 + 0.311184i 0.745851 0.666113i \(-0.232043\pi\)
0.211875 + 0.977297i \(0.432043\pi\)
\(674\) −7.16243e6 9.85824e6i −0.607310 0.835891i
\(675\) 10251.3 + 22337.4i 0.000866003 + 0.00188701i
\(676\) 4.04657e6 + 1.24541e7i 0.340581 + 1.04820i
\(677\) −2.22597e6 6.85082e6i −0.186658 0.574475i 0.813315 0.581824i \(-0.197661\pi\)
−0.999973 + 0.00734920i \(0.997661\pi\)
\(678\) 1.91174e7 + 5.40347e6i 1.59718 + 0.451438i
\(679\) −1.16833e6 1.60807e6i −0.0972507 0.133854i
\(680\) −1.40299e7 4.55859e6i −1.16354 0.378058i
\(681\) 591973. + 1.60744e6i 0.0489141 + 0.132821i
\(682\) 161719. + 1.11140e7i 0.0133138 + 0.914974i
\(683\) 1.43408e7i 1.17631i 0.808748 + 0.588155i \(0.200146\pi\)
−0.808748 + 0.588155i \(0.799854\pi\)
\(684\) 3.27452e6 1.35197e6i 0.267613 0.110491i
\(685\) −1.14519e7 + 8.32031e6i −0.932507 + 0.677506i
\(686\) 4.25283e6 5.85351e6i 0.345038 0.474905i
\(687\) −6.20554e6 + 4.88631e6i −0.501635 + 0.394993i
\(688\) −299806. + 97412.9i −0.0241473 + 0.00784595i
\(689\) −3.77109e6 2.73986e6i −0.302635 0.219877i
\(690\) 2.87574e7 + 1.92388e7i 2.29946 + 1.53835i
\(691\) 4.96449e6 1.52791e7i 0.395530 1.21732i −0.533017 0.846104i \(-0.678942\pi\)
0.928548 0.371213i \(-0.121058\pi\)
\(692\) 3.91127e7 3.10494
\(693\) 924600. + 2.15018e6i 0.0731342 + 0.170076i
\(694\) 3.89533e7 3.07005
\(695\) −4.84192e6 + 1.49019e7i −0.380238 + 1.17025i
\(696\) −1.72425e7 1.15353e7i −1.34920 0.902625i
\(697\) 1.14828e7 + 8.34276e6i 0.895296 + 0.650470i
\(698\) 5.32396e6 1.72986e6i 0.413615 0.134392i
\(699\) −2.60049e6 + 2.04765e6i −0.201309 + 0.158512i
\(700\) 4691.88 6457.82i 0.000361911 0.000498128i
\(701\) −5.44570e6 + 3.95653e6i −0.418561 + 0.304102i −0.777059 0.629428i \(-0.783289\pi\)
0.358498 + 0.933531i \(0.383289\pi\)
\(702\) −7.97011e6 8.65172e6i −0.610410 0.662613i
\(703\) 3.57021e6i 0.272462i
\(704\) 2.02059e7 6.89191e6i 1.53655 0.524092i
\(705\) −4.05346e6 1.10068e7i −0.307152 0.834040i
\(706\) −2.33829e7 7.59757e6i −1.76558 0.573671i
\(707\) −720715. 991980.i −0.0542270 0.0746370i
\(708\) −3.16546e7 8.94706e6i −2.37331 0.670806i
\(709\) −4.72223e6 1.45335e7i −0.352802 1.08581i −0.957273 0.289186i \(-0.906615\pi\)
0.604471 0.796627i \(-0.293385\pi\)
\(710\) 1.46067e6 + 4.49547e6i 0.108744 + 0.334680i
\(711\) −693127. 8.93761e6i −0.0514208 0.663052i
\(712\) −471484. 648942.i −0.0348552 0.0479740i
\(713\) −1.25487e7 4.07732e6i −0.924433 0.300366i
\(714\) 4.80567e6 1.76979e6i 0.352783 0.129920i
\(715\) 4.58190e6 + 6.11725e6i 0.335182 + 0.447498i
\(716\) 4.08041e6i 0.297455i
\(717\) 1.44510e7 559510.i 1.04978 0.0406453i
\(718\) −1.54284e7 + 1.12094e7i −1.11689 + 0.811465i
\(719\) 4.31233e6 5.93542e6i 0.311093 0.428183i −0.624629 0.780922i \(-0.714750\pi\)
0.935722 + 0.352739i \(0.114750\pi\)
\(720\) −261938. + 426350.i −0.0188308 + 0.0306503i
\(721\) 345223. 112170.i 0.0247322 0.00803597i
\(722\) 1.76814e7 + 1.28463e7i 1.26233 + 0.917138i
\(723\) 2.07080e6 3.09533e6i 0.147330 0.220223i
\(724\) 7.60474e6 2.34050e7i 0.539185 1.65944i
\(725\) −49135.3 −0.00347175
\(726\) −8.53858e6 2.12569e7i −0.601235 1.49678i
\(727\) −7.01576e6 −0.492310 −0.246155 0.969230i \(-0.579167\pi\)
−0.246155 + 0.969230i \(0.579167\pi\)
\(728\) −443575. + 1.36518e6i −0.0310198 + 0.0954691i
\(729\) −1.32378e7 5.53651e6i −0.922562 0.385849i
\(730\) −1.47455e7 1.07132e7i −1.02412 0.744068i
\(731\) 1.22219e7 3.97114e6i 0.845952 0.274866i
\(732\) −2.26265e7 2.87354e7i −1.56077 1.98216i
\(733\) −1.33135e7 + 1.83245e7i −0.915235 + 1.25971i 0.0501127 + 0.998744i \(0.484042\pi\)
−0.965347 + 0.260969i \(0.915958\pi\)
\(734\) −3.14909e7 + 2.28795e7i −2.15747 + 1.56749i
\(735\) −547781. 1.41481e7i −0.0374015 0.966004i
\(736\) 2.59037e7i 1.76266i
\(737\) −538630. 719121.i −0.0365277 0.0487678i
\(738\) −1.59683e7 + 1.36067e7i −1.07924 + 0.919629i
\(739\) −2.75815e7 8.96177e6i −1.85783 0.603647i −0.995205 0.0978080i \(-0.968817\pi\)
−0.862628 0.505839i \(-0.831183\pi\)
\(740\) 2.11645e7 + 2.91305e7i 1.42079 + 1.95555i
\(741\) −410403. + 1.45200e6i −0.0274578 + 0.0971453i
\(742\) 926903. + 2.85271e6i 0.0618051 + 0.190217i
\(743\) 4.94285e6 + 1.52125e7i 0.328477 + 1.01095i 0.969846 + 0.243717i \(0.0783667\pi\)
−0.641369 + 0.767232i \(0.721633\pi\)
\(744\) −2.26165e6 + 8.00171e6i −0.149794 + 0.529969i
\(745\) −7.02407e6 9.66780e6i −0.463658 0.638171i
\(746\) −1.81722e7 5.90451e6i −1.19553 0.388452i
\(747\) −1.20197e6 + 1.02420e6i −0.0788118 + 0.0671560i
\(748\) −2.92063e7 + 9.96178e6i −1.90863 + 0.651003i
\(749\) 3.42998e6i 0.223402i
\(750\) 960343. + 2.48037e7i 0.0623409 + 1.61014i
\(751\) −8.68288e6 + 6.30848e6i −0.561777 + 0.408155i −0.832109 0.554612i \(-0.812867\pi\)
0.270332 + 0.962767i \(0.412867\pi\)
\(752\) 290831. 400294.i 0.0187541 0.0258128i
\(753\) 5.87398e6 + 7.45988e6i 0.377525 + 0.479451i
\(754\) 2.23662e7 7.26721e6i 1.43273 0.465521i
\(755\) 1.40814e7 + 1.02307e7i 0.899037 + 0.653188i
\(756\) 539820. + 4.62889e6i 0.0343514 + 0.294559i
\(757\) −4.36431e6 + 1.34320e7i −0.276806 + 0.851921i 0.711930 + 0.702250i \(0.247821\pi\)
−0.988736 + 0.149671i \(0.952179\pi\)
\(758\) −6.30889e6 −0.398822
\(759\) 2.71546e7 1.44731e6i 1.71096 0.0911918i
\(760\) −2.79690e6 −0.175648
\(761\) 153717. 473093.i 0.00962191 0.0296132i −0.946130 0.323786i \(-0.895044\pi\)
0.955752 + 0.294173i \(0.0950442\pi\)
\(762\) 7.43027e6 1.11064e7i 0.463572 0.692926i
\(763\) −1.80241e6 1.30953e6i −0.112084 0.0814336i
\(764\) −2.38320e7 + 7.74350e6i −1.47716 + 0.479959i
\(765\) 1.06782e7 1.73806e7i 0.659696 1.07377i
\(766\) 8.94979e6 1.23183e7i 0.551113 0.758542i
\(767\) 1.13348e7 8.23522e6i 0.695706 0.505460i
\(768\) 1.53721e7 595175.i 0.940441 0.0364118i