Properties

Label 33.6.f.a.2.6
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 2.6
Character \(\chi\) \(=\) 33.2
Dual form 33.6.f.a.17.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.36557 + 4.20281i) q^{2} +(6.31381 + 14.2526i) q^{3} +(10.0898 + 7.33064i) q^{4} +(98.1154 - 31.8796i) q^{5} +(-68.5228 + 7.07275i) q^{6} +(-5.71539 + 7.86655i) q^{7} +(-158.991 + 115.514i) q^{8} +(-163.272 + 179.976i) q^{9} +O(q^{10})\) \(q+(-1.36557 + 4.20281i) q^{2} +(6.31381 + 14.2526i) q^{3} +(10.0898 + 7.33064i) q^{4} +(98.1154 - 31.8796i) q^{5} +(-68.5228 + 7.07275i) q^{6} +(-5.71539 + 7.86655i) q^{7} +(-158.991 + 115.514i) q^{8} +(-163.272 + 179.976i) q^{9} +455.894i q^{10} +(294.033 - 273.122i) q^{11} +(-40.7757 + 190.089i) q^{12} +(-752.218 - 244.410i) q^{13} +(-25.2568 - 34.7630i) q^{14} +(1073.85 + 1197.12i) q^{15} +(-145.042 - 446.394i) q^{16} +(218.298 + 671.853i) q^{17} +(-533.445 - 931.970i) q^{18} +(-1020.61 - 1404.76i) q^{19} +(1223.66 + 397.591i) q^{20} +(-148.204 - 31.7911i) q^{21} +(746.354 + 1608.73i) q^{22} -1918.02i q^{23} +(-2650.21 - 1536.70i) q^{24} +(6082.15 - 4418.94i) q^{25} +(2054.42 - 2827.66i) q^{26} +(-3595.99 - 1190.71i) q^{27} +(-115.334 + 37.4742i) q^{28} +(4400.01 + 3196.79i) q^{29} +(-6497.66 + 2878.43i) q^{30} +(-805.352 + 2478.62i) q^{31} -4214.60 q^{32} +(5749.16 + 2466.29i) q^{33} -3121.77 q^{34} +(-309.985 + 954.034i) q^{35} +(-2966.71 + 619.028i) q^{36} +(533.898 + 387.900i) q^{37} +(7297.64 - 2371.15i) q^{38} +(-1265.88 - 12264.2i) q^{39} +(-11917.0 + 16402.3i) q^{40} +(6671.34 - 4847.01i) q^{41} +(335.996 - 579.462i) q^{42} -1556.30i q^{43} +(4968.88 - 600.281i) q^{44} +(-10281.9 + 22863.5i) q^{45} +(8061.06 + 2619.20i) q^{46} +(-6056.57 - 8336.15i) q^{47} +(5446.50 - 4885.67i) q^{48} +(5164.43 + 15894.5i) q^{49} +(10266.3 + 31596.5i) q^{50} +(-8197.34 + 7353.26i) q^{51} +(-5798.01 - 7980.28i) q^{52} +(-15010.2 - 4877.10i) q^{53} +(9914.90 - 13487.2i) q^{54} +(20142.2 - 36171.1i) q^{55} -1910.92i q^{56} +(13577.4 - 23415.7i) q^{57} +(-19444.0 + 14126.9i) q^{58} +(6189.78 - 8519.50i) q^{59} +(2059.25 + 19950.6i) q^{60} +(15306.5 - 4973.39i) q^{61} +(-9317.39 - 6769.48i) q^{62} +(-482.630 - 2313.02i) q^{63} +(10396.7 - 31997.8i) q^{64} -81595.9 q^{65} +(-18216.2 + 20794.7i) q^{66} -31430.0 q^{67} +(-2722.53 + 8379.10i) q^{68} +(27336.7 - 12110.0i) q^{69} +(-3586.32 - 2605.61i) q^{70} +(34976.4 - 11364.5i) q^{71} +(5169.05 - 47474.8i) q^{72} +(17528.4 - 24125.8i) q^{73} +(-2359.35 + 1714.17i) q^{74} +(101383. + 58785.9i) q^{75} -21655.4i q^{76} +(468.014 + 3874.02i) q^{77} +(53272.7 + 11427.4i) q^{78} +(-65271.3 - 21207.9i) q^{79} +(-28461.8 - 39174.2i) q^{80} +(-5733.71 - 58770.0i) q^{81} +(11260.8 + 34657.3i) q^{82} +(27437.9 + 84445.3i) q^{83} +(-1262.30 - 1407.20i) q^{84} +(42836.8 + 58959.8i) q^{85} +(6540.83 + 2125.24i) q^{86} +(-17781.7 + 82895.3i) q^{87} +(-15199.4 + 77389.0i) q^{88} +90876.2i q^{89} +(-82050.0 - 74434.6i) q^{90} +(6221.88 - 4520.46i) q^{91} +(14060.3 - 19352.4i) q^{92} +(-40411.5 + 4171.18i) q^{93} +(43305.9 - 14070.9i) q^{94} +(-144921. - 105291. i) q^{95} +(-26610.2 - 60068.9i) q^{96} +(-47704.1 + 146818. i) q^{97} -73853.9 q^{98} +(1148.06 + 97512.0i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.36557 + 4.20281i −0.241402 + 0.742958i 0.754806 + 0.655948i \(0.227731\pi\)
−0.996207 + 0.0870098i \(0.972269\pi\)
\(3\) 6.31381 + 14.2526i 0.405031 + 0.914303i
\(4\) 10.0898 + 7.33064i 0.315305 + 0.229082i
\(5\) 98.1154 31.8796i 1.75514 0.570280i 0.758463 0.651716i \(-0.225950\pi\)
0.996679 + 0.0814355i \(0.0259505\pi\)
\(6\) −68.5228 + 7.07275i −0.777064 + 0.0802067i
\(7\) −5.71539 + 7.86655i −0.0440860 + 0.0606791i −0.830491 0.557032i \(-0.811940\pi\)
0.786405 + 0.617711i \(0.211940\pi\)
\(8\) −158.991 + 115.514i −0.878312 + 0.638131i
\(9\) −163.272 + 179.976i −0.671900 + 0.740642i
\(10\) 455.894i 1.44166i
\(11\) 294.033 273.122i 0.732681 0.680573i
\(12\) −40.7757 + 190.089i −0.0817425 + 0.381070i
\(13\) −752.218 244.410i −1.23448 0.401108i −0.382147 0.924102i \(-0.624815\pi\)
−0.852336 + 0.522994i \(0.824815\pi\)
\(14\) −25.2568 34.7630i −0.0344396 0.0474021i
\(15\) 1073.85 + 1197.12i 1.23230 + 1.37375i
\(16\) −145.042 446.394i −0.141643 0.435932i
\(17\) 218.298 + 671.853i 0.183201 + 0.563835i 0.999913 0.0132112i \(-0.00420539\pi\)
−0.816712 + 0.577046i \(0.804205\pi\)
\(18\) −533.445 931.970i −0.388068 0.677986i
\(19\) −1020.61 1404.76i −0.648601 0.892723i 0.350436 0.936587i \(-0.386033\pi\)
−0.999038 + 0.0438636i \(0.986033\pi\)
\(20\) 1223.66 + 397.591i 0.684046 + 0.222260i
\(21\) −148.204 31.7911i −0.0733353 0.0157310i
\(22\) 746.354 + 1608.73i 0.328767 + 0.708642i
\(23\) 1918.02i 0.756020i −0.925801 0.378010i \(-0.876608\pi\)
0.925801 0.378010i \(-0.123392\pi\)
\(24\) −2650.21 1536.70i −0.939188 0.544580i
\(25\) 6082.15 4418.94i 1.94629 1.41406i
\(26\) 2054.42 2827.66i 0.596013 0.820341i
\(27\) −3595.99 1190.71i −0.949311 0.314337i
\(28\) −115.334 + 37.4742i −0.0278010 + 0.00903311i
\(29\) 4400.01 + 3196.79i 0.971535 + 0.705861i 0.955801 0.294015i \(-0.0949915\pi\)
0.0157339 + 0.999876i \(0.494992\pi\)
\(30\) −6497.66 + 2878.43i −1.31812 + 0.583918i
\(31\) −805.352 + 2478.62i −0.150516 + 0.463239i −0.997679 0.0680931i \(-0.978309\pi\)
0.847163 + 0.531333i \(0.178309\pi\)
\(32\) −4214.60 −0.727581
\(33\) 5749.16 + 2466.29i 0.919008 + 0.394239i
\(34\) −3121.77 −0.463131
\(35\) −309.985 + 954.034i −0.0427730 + 0.131642i
\(36\) −2966.71 + 619.028i −0.381521 + 0.0796076i
\(37\) 533.898 + 387.900i 0.0641142 + 0.0465817i 0.619381 0.785091i \(-0.287384\pi\)
−0.555267 + 0.831672i \(0.687384\pi\)
\(38\) 7297.64 2371.15i 0.819829 0.266379i
\(39\) −1265.88 12264.2i −0.133270 1.29115i
\(40\) −11917.0 + 16402.3i −1.17765 + 1.62089i
\(41\) 6671.34 4847.01i 0.619803 0.450313i −0.233050 0.972465i \(-0.574871\pi\)
0.852853 + 0.522152i \(0.174871\pi\)
\(42\) 335.996 579.462i 0.0293908 0.0506876i
\(43\) 1556.30i 0.128358i −0.997938 0.0641789i \(-0.979557\pi\)
0.997938 0.0641789i \(-0.0204428\pi\)
\(44\) 4968.88 600.281i 0.386925 0.0467437i
\(45\) −10281.9 + 22863.5i −0.756906 + 1.68310i
\(46\) 8061.06 + 2619.20i 0.561691 + 0.182505i
\(47\) −6056.57 8336.15i −0.399928 0.550454i 0.560798 0.827953i \(-0.310495\pi\)
−0.960726 + 0.277499i \(0.910495\pi\)
\(48\) 5446.50 4885.67i 0.341204 0.306070i
\(49\) 5164.43 + 15894.5i 0.307279 + 0.945706i
\(50\) 10266.3 + 31596.5i 0.580751 + 1.78737i
\(51\) −8197.34 + 7353.26i −0.441314 + 0.395872i
\(52\) −5798.01 7980.28i −0.297352 0.409270i
\(53\) −15010.2 4877.10i −0.734000 0.238491i −0.0819177 0.996639i \(-0.526104\pi\)
−0.652083 + 0.758148i \(0.726104\pi\)
\(54\) 9914.90 13487.2i 0.462705 0.629417i
\(55\) 20142.2 36171.1i 0.897841 1.61234i
\(56\) 1910.92i 0.0814278i
\(57\) 13577.4 23415.7i 0.553516 0.954598i
\(58\) −19444.0 + 14126.9i −0.758956 + 0.551414i
\(59\) 6189.78 8519.50i 0.231497 0.318628i −0.677427 0.735590i \(-0.736905\pi\)
0.908924 + 0.416962i \(0.136905\pi\)
\(60\) 2059.25 + 19950.6i 0.0738468 + 0.715448i
\(61\) 15306.5 4973.39i 0.526686 0.171131i −0.0335917 0.999436i \(-0.510695\pi\)
0.560277 + 0.828305i \(0.310695\pi\)
\(62\) −9317.39 6769.48i −0.307833 0.223654i
\(63\) −482.630 2313.02i −0.0153201 0.0734222i
\(64\) 10396.7 31997.8i 0.317282 0.976494i
\(65\) −81595.9 −2.39544
\(66\) −18216.2 + 20794.7i −0.514753 + 0.587615i
\(67\) −31430.0 −0.855377 −0.427688 0.903926i \(-0.640672\pi\)
−0.427688 + 0.903926i \(0.640672\pi\)
\(68\) −2722.53 + 8379.10i −0.0714004 + 0.219748i
\(69\) 27336.7 12110.0i 0.691232 0.306212i
\(70\) −3586.32 2605.61i −0.0874789 0.0635571i
\(71\) 34976.4 11364.5i 0.823435 0.267550i 0.133157 0.991095i \(-0.457488\pi\)
0.690277 + 0.723545i \(0.257488\pi\)
\(72\) 5169.05 47474.8i 0.117511 1.07927i
\(73\) 17528.4 24125.8i 0.384977 0.529876i −0.571917 0.820311i \(-0.693800\pi\)
0.956895 + 0.290435i \(0.0938001\pi\)
\(74\) −2359.35 + 1714.17i −0.0500855 + 0.0363893i
\(75\) 101383. + 58785.9i 2.08119 + 1.20676i
\(76\) 21655.4i 0.430063i
\(77\) 468.014 + 3874.02i 0.00899563 + 0.0744621i
\(78\) 53272.7 + 11427.4i 0.991444 + 0.212673i
\(79\) −65271.3 21207.9i −1.17667 0.382323i −0.345541 0.938404i \(-0.612305\pi\)
−0.831129 + 0.556080i \(0.812305\pi\)
\(80\) −28461.8 39174.2i −0.497206 0.684346i
\(81\) −5733.71 58770.0i −0.0971009 0.995275i
\(82\) 11260.8 + 34657.3i 0.184942 + 0.569194i
\(83\) 27437.9 + 84445.3i 0.437176 + 1.34549i 0.890840 + 0.454316i \(0.150116\pi\)
−0.453664 + 0.891173i \(0.649884\pi\)
\(84\) −1262.30 1407.20i −0.0195193 0.0217599i
\(85\) 42836.8 + 58959.8i 0.643087 + 0.885134i
\(86\) 6540.83 + 2125.24i 0.0953645 + 0.0309858i
\(87\) −17781.7 + 82895.3i −0.251870 + 1.17417i
\(88\) −15199.4 + 77389.0i −0.209227 + 1.06530i
\(89\) 90876.2i 1.21612i 0.793892 + 0.608058i \(0.208051\pi\)
−0.793892 + 0.608058i \(0.791949\pi\)
\(90\) −82050.0 74434.6i −1.06776 0.968654i
\(91\) 6221.88 4520.46i 0.0787623 0.0572241i
\(92\) 14060.3 19352.4i 0.173191 0.238377i
\(93\) −40411.5 + 4171.18i −0.484505 + 0.0500094i
\(94\) 43305.9 14070.9i 0.505508 0.164249i
\(95\) −144921. 105291.i −1.64749 1.19697i
\(96\) −26610.2 60068.9i −0.294693 0.665230i
\(97\) −47704.1 + 146818.i −0.514786 + 1.58435i 0.268886 + 0.963172i \(0.413344\pi\)
−0.783672 + 0.621175i \(0.786656\pi\)
\(98\) −73853.9 −0.776798
\(99\) 1148.06 + 97512.0i 0.0117727 + 0.999931i
\(100\) 93761.0 0.937610
\(101\) 22552.0 69407.8i 0.219979 0.677025i −0.778784 0.627292i \(-0.784163\pi\)
0.998763 0.0497326i \(-0.0158369\pi\)
\(102\) −19710.2 44493.2i −0.187582 0.423442i
\(103\) −62456.7 45377.5i −0.580078 0.421451i 0.258675 0.965965i \(-0.416714\pi\)
−0.838752 + 0.544514i \(0.816714\pi\)
\(104\) 147829. 48032.5i 1.34022 0.435464i
\(105\) −15554.6 + 1605.51i −0.137685 + 0.0142115i
\(106\) 40995.0 56424.8i 0.354378 0.487759i
\(107\) −31753.0 + 23069.9i −0.268118 + 0.194799i −0.713718 0.700433i \(-0.752990\pi\)
0.445600 + 0.895232i \(0.352990\pi\)
\(108\) −27554.0 38374.8i −0.227313 0.316583i
\(109\) 97175.0i 0.783408i 0.920091 + 0.391704i \(0.128114\pi\)
−0.920091 + 0.391704i \(0.871886\pi\)
\(110\) 124515. + 134048.i 0.981157 + 1.05628i
\(111\) −2157.64 + 10058.6i −0.0166216 + 0.0774869i
\(112\) 4340.55 + 1410.33i 0.0326964 + 0.0106237i
\(113\) 14947.9 + 20574.0i 0.110124 + 0.151573i 0.860522 0.509414i \(-0.170138\pi\)
−0.750397 + 0.660987i \(0.770138\pi\)
\(114\) 79870.8 + 89039.2i 0.575607 + 0.641681i
\(115\) −61145.8 188187.i −0.431143 1.32692i
\(116\) 20960.5 + 64509.7i 0.144629 + 0.445123i
\(117\) 166804. 95475.8i 1.12653 0.644806i
\(118\) 27353.2 + 37648.4i 0.180844 + 0.248910i
\(119\) −6532.82 2122.64i −0.0422896 0.0137407i
\(120\) −309016. 66286.5i −1.95897 0.420215i
\(121\) 11860.0 160614.i 0.0736414 0.997285i
\(122\) 71121.8i 0.432617i
\(123\) 111204. + 64480.7i 0.662762 + 0.384297i
\(124\) −26295.7 + 19104.9i −0.153578 + 0.111581i
\(125\) 266382. 366644.i 1.52486 2.09879i
\(126\) 10380.2 + 1130.20i 0.0582480 + 0.00634202i
\(127\) −126427. + 41078.6i −0.695552 + 0.225999i −0.635392 0.772190i \(-0.719161\pi\)
−0.0601607 + 0.998189i \(0.519161\pi\)
\(128\) 11173.0 + 8117.68i 0.0602762 + 0.0437933i
\(129\) 22181.3 9826.18i 0.117358 0.0519889i
\(130\) 111425. 342932.i 0.578263 1.77971i
\(131\) −44326.5 −0.225676 −0.112838 0.993613i \(-0.535994\pi\)
−0.112838 + 0.993613i \(0.535994\pi\)
\(132\) 39928.1 + 67029.3i 0.199455 + 0.334834i
\(133\) 16883.8 0.0827639
\(134\) 42920.0 132094.i 0.206489 0.635509i
\(135\) −390781. 2188.10i −1.84544 0.0103331i
\(136\) −112316. 81602.3i −0.520708 0.378316i
\(137\) −64609.8 + 20993.0i −0.294102 + 0.0955594i −0.452352 0.891840i \(-0.649415\pi\)
0.158250 + 0.987399i \(0.449415\pi\)
\(138\) 13565.7 + 131428.i 0.0606379 + 0.587476i
\(139\) −115676. + 159214.i −0.507814 + 0.698946i −0.983549 0.180643i \(-0.942182\pi\)
0.475735 + 0.879589i \(0.342182\pi\)
\(140\) −10121.4 + 7353.59i −0.0436434 + 0.0317088i
\(141\) 80571.6 138955.i 0.341298 0.588606i
\(142\) 162518.i 0.676365i
\(143\) −287931. + 133582.i −1.17746 + 0.546272i
\(144\) 104021. + 46779.4i 0.418039 + 0.187996i
\(145\) 533621. + 173384.i 2.10772 + 0.684840i
\(146\) 77459.7 + 106614.i 0.300742 + 0.413935i
\(147\) −193930. + 173961.i −0.740205 + 0.663986i
\(148\) 2543.35 + 7827.63i 0.00954448 + 0.0293749i
\(149\) 1650.77 + 5080.54i 0.00609145 + 0.0187475i 0.954056 0.299628i \(-0.0968626\pi\)
−0.947965 + 0.318376i \(0.896863\pi\)
\(150\) −385512. + 345815.i −1.39897 + 1.25492i
\(151\) −27502.8 37854.4i −0.0981600 0.135106i 0.757112 0.653285i \(-0.226610\pi\)
−0.855272 + 0.518180i \(0.826610\pi\)
\(152\) 324538. + 105449.i 1.13935 + 0.370197i
\(153\) −156559. 70406.1i −0.540692 0.243154i
\(154\) −16920.9 3323.30i −0.0574938 0.0112919i
\(155\) 268865.i 0.898887i
\(156\) 77132.0 133022.i 0.253760 0.437637i
\(157\) 4281.10 3110.40i 0.0138614 0.0100709i −0.580833 0.814023i \(-0.697273\pi\)
0.594694 + 0.803952i \(0.297273\pi\)
\(158\) 178266. 245362.i 0.568100 0.781923i
\(159\) −25260.1 244727.i −0.0792396 0.767695i
\(160\) −413517. + 134360.i −1.27701 + 0.414925i
\(161\) 15088.2 + 10962.2i 0.0458747 + 0.0333299i
\(162\) 254829. + 56157.1i 0.762888 + 0.168119i
\(163\) −48795.4 + 150177.i −0.143850 + 0.442725i −0.996861 0.0791676i \(-0.974774\pi\)
0.853011 + 0.521892i \(0.174774\pi\)
\(164\) 102844. 0.298586
\(165\) 642705. + 58700.2i 1.83782 + 0.167853i
\(166\) −392376. −1.10518
\(167\) 165845. 510420.i 0.460164 1.41624i −0.404801 0.914405i \(-0.632659\pi\)
0.864965 0.501833i \(-0.167341\pi\)
\(168\) 27235.5 12065.2i 0.0744497 0.0329808i
\(169\) 205713. + 149459.i 0.554044 + 0.402537i
\(170\) −306294. + 99520.8i −0.812860 + 0.264114i
\(171\) 419460. + 45670.7i 1.09698 + 0.119439i
\(172\) 11408.7 15702.7i 0.0294045 0.0404719i
\(173\) −424340. + 308301.i −1.07795 + 0.783177i −0.977325 0.211747i \(-0.932085\pi\)
−0.100627 + 0.994924i \(0.532085\pi\)
\(174\) −324111. 187933.i −0.811560 0.470576i
\(175\) 73101.5i 0.180439i
\(176\) −164567. 91640.5i −0.400462 0.223000i
\(177\) 160506. + 34429.8i 0.385086 + 0.0826040i
\(178\) −381935. 124098.i −0.903524 0.293573i
\(179\) 17255.1 + 23749.6i 0.0402518 + 0.0554019i 0.828669 0.559740i \(-0.189099\pi\)
−0.788417 + 0.615142i \(0.789099\pi\)
\(180\) −271346. + 155314.i −0.624226 + 0.357297i
\(181\) −117107. 360420.i −0.265698 0.817734i −0.991532 0.129864i \(-0.958546\pi\)
0.725834 0.687870i \(-0.241454\pi\)
\(182\) 10502.2 + 32322.4i 0.0235018 + 0.0723311i
\(183\) 167526. + 186756.i 0.369789 + 0.412237i
\(184\) 221558. + 304949.i 0.482440 + 0.664022i
\(185\) 64749.8 + 21038.5i 0.139094 + 0.0451944i
\(186\) 37654.3 175538.i 0.0798054 0.372039i
\(187\) 247684. + 137925.i 0.517958 + 0.288429i
\(188\) 128508.i 0.265177i
\(189\) 29919.2 21482.7i 0.0609250 0.0437455i
\(190\) 640420. 465292.i 1.28701 0.935065i
\(191\) 12207.5 16802.2i 0.0242127 0.0333260i −0.796739 0.604324i \(-0.793443\pi\)
0.820952 + 0.570998i \(0.193443\pi\)
\(192\) 521693. 53847.9i 1.02132 0.105418i
\(193\) 344823. 112040.i 0.666352 0.216511i 0.0437414 0.999043i \(-0.486072\pi\)
0.622610 + 0.782532i \(0.286072\pi\)
\(194\) −551905. 400982.i −1.05283 0.764928i
\(195\) −515181. 1.16295e6i −0.970226 2.19016i
\(196\) −64408.9 + 198230.i −0.119758 + 0.368578i
\(197\) −46484.0 −0.0853371 −0.0426685 0.999089i \(-0.513586\pi\)
−0.0426685 + 0.999089i \(0.513586\pi\)
\(198\) −411392. 128335.i −0.745749 0.232638i
\(199\) 379253. 0.678884 0.339442 0.940627i \(-0.389762\pi\)
0.339442 + 0.940627i \(0.389762\pi\)
\(200\) −456560. + 1.40515e6i −0.807091 + 2.48397i
\(201\) −198443. 447958.i −0.346454 0.782073i
\(202\) 260911. + 189563.i 0.449898 + 0.326870i
\(203\) −50295.5 + 16342.0i −0.0856621 + 0.0278333i
\(204\) −136613. + 14100.9i −0.229836 + 0.0237231i
\(205\) 500040. 688246.i 0.831037 1.14382i
\(206\) 276002. 200527.i 0.453152 0.329234i
\(207\) 345197. + 313158.i 0.559940 + 0.507970i
\(208\) 371235.i 0.594964i
\(209\) −683764. 134293.i −1.08278 0.212660i
\(210\) 14493.4 67565.5i 0.0226788 0.105725i
\(211\) −1.20613e6 391894.i −1.86503 0.605986i −0.993235 0.116118i \(-0.962955\pi\)
−0.871797 0.489867i \(-0.837045\pi\)
\(212\) −115697. 159243.i −0.176800 0.243344i
\(213\) 382808. + 426750.i 0.578138 + 0.644503i
\(214\) −53597.3 164955.i −0.0800033 0.246225i
\(215\) −49614.3 152697.i −0.0731999 0.225286i
\(216\) 709275. 226075.i 1.03438 0.329699i
\(217\) −14895.3 20501.6i −0.0214733 0.0295555i
\(218\) −408407. 132700.i −0.582040 0.189116i
\(219\) 454526. + 97499.4i 0.640395 + 0.137370i
\(220\) 468387. 217303.i 0.652451 0.302698i
\(221\) 558734.i 0.769528i
\(222\) −39327.7 22803.8i −0.0535570 0.0310546i
\(223\) −332722. + 241737.i −0.448043 + 0.325522i −0.788823 0.614621i \(-0.789309\pi\)
0.340780 + 0.940143i \(0.389309\pi\)
\(224\) 24088.1 33154.4i 0.0320761 0.0441490i
\(225\) −197740. + 1.81613e6i −0.260398 + 2.39161i
\(226\) −106881. + 34727.7i −0.139197 + 0.0452278i
\(227\) 809738. + 588309.i 1.04299 + 0.757776i 0.970867 0.239620i \(-0.0770229\pi\)
0.0721221 + 0.997396i \(0.477023\pi\)
\(228\) 308645. 136728.i 0.393208 0.174189i
\(229\) −443828. + 1.36596e6i −0.559275 + 1.72127i 0.125101 + 0.992144i \(0.460074\pi\)
−0.684377 + 0.729129i \(0.739926\pi\)
\(230\) 874414. 1.08993
\(231\) −52259.9 + 31130.2i −0.0644374 + 0.0383842i
\(232\) −1.06884e6 −1.30374
\(233\) 64020.4 197035.i 0.0772554 0.237768i −0.904969 0.425477i \(-0.860106\pi\)
0.982225 + 0.187709i \(0.0601063\pi\)
\(234\) 173483. + 831424.i 0.207118 + 0.992619i
\(235\) −859996. 624824.i −1.01584 0.738054i
\(236\) 124907. 40584.7i 0.145984 0.0474331i
\(237\) −109843. 1.06419e6i −0.127028 1.23069i
\(238\) 17842.1 24557.6i 0.0204176 0.0281024i
\(239\) −172546. + 125362.i −0.195394 + 0.141962i −0.681180 0.732116i \(-0.738533\pi\)
0.485787 + 0.874077i \(0.338533\pi\)
\(240\) 378632. 652992.i 0.424316 0.731779i
\(241\) 1.23423e6i 1.36885i −0.729085 0.684424i \(-0.760054\pi\)
0.729085 0.684424i \(-0.239946\pi\)
\(242\) 658833. + 269175.i 0.723164 + 0.295459i
\(243\) 801422. 452782.i 0.870654 0.491897i
\(244\) 190897. + 62026.2i 0.205270 + 0.0666961i
\(245\) 1.01342e6 + 1.39485e6i 1.07864 + 1.48461i
\(246\) −422857. + 379315.i −0.445508 + 0.399634i
\(247\) 424388. + 1.30613e6i 0.442609 + 1.36221i
\(248\) −158271. 487109.i −0.163408 0.502917i
\(249\) −1.03032e6 + 924232.i −1.05311 + 0.944676i
\(250\) 1.17717e6 + 1.62023e6i 1.19121 + 1.63956i
\(251\) −1.56786e6 509429.i −1.57081 0.510386i −0.611140 0.791522i \(-0.709289\pi\)
−0.959668 + 0.281136i \(0.909289\pi\)
\(252\) 12086.3 26875.8i 0.0119892 0.0266600i
\(253\) −523853. 563961.i −0.514527 0.553921i
\(254\) 587443.i 0.571323i
\(255\) −569866. + 982796.i −0.548810 + 0.946483i
\(256\) 821631. 596950.i 0.783568 0.569296i
\(257\) −737430. + 1.01499e6i −0.696447 + 0.958577i 0.303537 + 0.952820i \(0.401833\pi\)
−0.999983 + 0.00575710i \(0.998167\pi\)
\(258\) 11007.3 + 106642.i 0.0102952 + 0.0997423i
\(259\) −6102.87 + 1982.94i −0.00565308 + 0.00183680i
\(260\) −823283. 598150.i −0.755293 0.548753i
\(261\) −1.29374e6 + 269950.i −1.17556 + 0.245291i
\(262\) 60531.1 186296.i 0.0544785 0.167668i
\(263\) 1.40795e6 1.25516 0.627580 0.778552i \(-0.284046\pi\)
0.627580 + 0.778552i \(0.284046\pi\)
\(264\) −1.19896e6 + 271989.i −1.05875 + 0.240183i
\(265\) −1.62821e6 −1.42428
\(266\) −23056.1 + 70959.3i −0.0199793 + 0.0614901i
\(267\) −1.29522e6 + 573775.i −1.11190 + 0.492565i
\(268\) −317121. 230402.i −0.269704 0.195952i
\(269\) 1.65177e6 536693.i 1.39178 0.452215i 0.485253 0.874374i \(-0.338727\pi\)
0.906522 + 0.422159i \(0.138727\pi\)
\(270\) 542837. 1.63939e6i 0.453169 1.36859i
\(271\) 299837. 412690.i 0.248006 0.341350i −0.666806 0.745231i \(-0.732339\pi\)
0.914812 + 0.403881i \(0.132339\pi\)
\(272\) 268249. 194894.i 0.219844 0.159726i
\(273\) 103712. + 60136.5i 0.0842214 + 0.0488350i
\(274\) 300210.i 0.241573i
\(275\) 581445. 2.96048e6i 0.463636 2.36064i
\(276\) 364595. + 78208.6i 0.288096 + 0.0617990i
\(277\) 2.42255e6 + 787135.i 1.89703 + 0.616382i 0.971095 + 0.238695i \(0.0767197\pi\)
0.925933 + 0.377687i \(0.123280\pi\)
\(278\) −511181. 703581.i −0.396701 0.546012i
\(279\) −314601. 549632.i −0.241963 0.422729i
\(280\) −60919.5 187491.i −0.0464367 0.142917i
\(281\) 403067. + 1.24051e6i 0.304517 + 0.937206i 0.979857 + 0.199700i \(0.0639967\pi\)
−0.675340 + 0.737506i \(0.736003\pi\)
\(282\) 473972. + 528380.i 0.354920 + 0.395661i
\(283\) 254648. + 350493.i 0.189006 + 0.260144i 0.892995 0.450067i \(-0.148600\pi\)
−0.703989 + 0.710210i \(0.748600\pi\)
\(284\) 436213. + 141734.i 0.320924 + 0.104275i
\(285\) 585669. 2.73029e6i 0.427110 1.99111i
\(286\) −168229. 1.39253e6i −0.121615 1.00668i
\(287\) 80183.0i 0.0574616i
\(288\) 688125. 758527.i 0.488862 0.538877i
\(289\) 744957. 541243.i 0.524670 0.381195i
\(290\) −1.45740e6 + 2.00594e6i −1.01761 + 1.40063i
\(291\) −2.39373e6 + 247075.i −1.65708 + 0.171039i
\(292\) 353715. 114929.i 0.242771 0.0788810i
\(293\) 1.78494e6 + 1.29684e6i 1.21466 + 0.882503i 0.995646 0.0932179i \(-0.0297153\pi\)
0.219016 + 0.975721i \(0.429715\pi\)
\(294\) −466299. 1.05261e6i −0.314627 0.710229i
\(295\) 335714. 1.03322e6i 0.224603 0.691255i
\(296\) −129693. −0.0860375
\(297\) −1.38255e6 + 632034.i −0.909471 + 0.415767i
\(298\) −23606.8 −0.0153991
\(299\) −468784. + 1.44277e6i −0.303246 + 0.933294i
\(300\) 591989. + 1.33634e6i 0.379761 + 0.857260i
\(301\) 12242.7 + 8894.86i 0.00778864 + 0.00565878i
\(302\) 196652. 63896.0i 0.124074 0.0403140i
\(303\) 1.13163e6 116804.i 0.708104 0.0730888i
\(304\) −479042. + 659345.i −0.297297 + 0.409194i
\(305\) 1.34325e6 975932.i 0.826816 0.600717i
\(306\) 509696. 561843.i 0.311177 0.343014i
\(307\) 3.20784e6i 1.94253i 0.238004 + 0.971264i \(0.423507\pi\)
−0.238004 + 0.971264i \(0.576493\pi\)
\(308\) −23676.9 + 42518.8i −0.0142216 + 0.0255390i
\(309\) 252406. 1.17667e6i 0.150385 0.701067i
\(310\) −1.12999e6 367155.i −0.667835 0.216993i
\(311\) −31081.5 42780.1i −0.0182222 0.0250808i 0.799809 0.600255i \(-0.204934\pi\)
−0.818031 + 0.575174i \(0.804934\pi\)
\(312\) 1.61795e6 + 1.80368e6i 0.940977 + 1.04899i
\(313\) −365872. 1.12604e6i −0.211090 0.649669i −0.999408 0.0344006i \(-0.989048\pi\)
0.788318 0.615268i \(-0.210952\pi\)
\(314\) 7226.25 + 22240.1i 0.00413608 + 0.0127295i
\(315\) −121092. 211557.i −0.0687603 0.120130i
\(316\) −503104. 692463.i −0.283426 0.390103i
\(317\) −1.24649e6 405008.i −0.696690 0.226368i −0.0608023 0.998150i \(-0.519366\pi\)
−0.635888 + 0.771781i \(0.719366\pi\)
\(318\) 1.06303e6 + 228029.i 0.589494 + 0.126451i
\(319\) 2.16686e6 261775.i 1.19221 0.144029i
\(320\) 3.47092e6i 1.89483i
\(321\) −529288. 306903.i −0.286701 0.166241i
\(322\) −66676.2 + 48443.1i −0.0358369 + 0.0260371i
\(323\) 720990. 992358.i 0.384524 0.529251i
\(324\) 372970. 635006.i 0.197384 0.336059i
\(325\) −5.65513e6 + 1.83746e6i −2.96985 + 0.964962i
\(326\) −564530. 410155.i −0.294200 0.213749i
\(327\) −1.38499e6 + 613544.i −0.716272 + 0.317304i
\(328\) −500788. + 1.54127e6i −0.257021 + 0.791030i
\(329\) 100192. 0.0510323
\(330\) −1.12437e6 + 2.62101e6i −0.568360 + 1.32490i
\(331\) 107883. 0.0541229 0.0270615 0.999634i \(-0.491385\pi\)
0.0270615 + 0.999634i \(0.491385\pi\)
\(332\) −342196. + 1.05317e6i −0.170384 + 0.524389i
\(333\) −156983. + 32755.8i −0.0775787 + 0.0161874i
\(334\) 1.91872e6 + 1.39403e6i 0.941121 + 0.683765i
\(335\) −3.08377e6 + 1.00198e6i −1.50131 + 0.487804i
\(336\) 7304.57 + 70768.6i 0.00352977 + 0.0341974i
\(337\) 1.16505e6 1.60356e6i 0.558818 0.769147i −0.432358 0.901702i \(-0.642318\pi\)
0.991176 + 0.132555i \(0.0423182\pi\)
\(338\) −909063. + 660473.i −0.432815 + 0.314459i
\(339\) −198854. + 342946.i −0.0939801 + 0.162079i
\(340\) 908912.i 0.426407i
\(341\) 440164. + 948755.i 0.204988 + 0.441843i
\(342\) −764748. + 1.70054e6i −0.353552 + 0.786180i
\(343\) −309977. 100718.i −0.142264 0.0462243i
\(344\) 179775. + 247438.i 0.0819091 + 0.112738i
\(345\) 2.29609e6 2.05966e6i 1.03858 0.931641i
\(346\) −716262. 2.20443e6i −0.321649 0.989933i
\(347\) −216100. 665087.i −0.0963454 0.296521i 0.891257 0.453499i \(-0.149825\pi\)
−0.987602 + 0.156979i \(0.949825\pi\)
\(348\) −787089. + 706043.i −0.348398 + 0.312524i
\(349\) 1.53131e6 + 2.10767e6i 0.672975 + 0.926271i 0.999823 0.0188059i \(-0.00598644\pi\)
−0.326848 + 0.945077i \(0.605986\pi\)
\(350\) −307231. 99825.5i −0.134059 0.0435583i
\(351\) 2.41394e6 + 1.77457e6i 1.04583 + 0.768820i
\(352\) −1.23923e6 + 1.15110e6i −0.533085 + 0.495172i
\(353\) 2.98558e6i 1.27524i 0.770351 + 0.637621i \(0.220081\pi\)
−0.770351 + 0.637621i \(0.779919\pi\)
\(354\) −363884. + 627558.i −0.154332 + 0.266162i
\(355\) 3.06943e6 2.23007e6i 1.29267 0.939177i
\(356\) −666181. + 916919.i −0.278591 + 0.383447i
\(357\) −10993.9 106511.i −0.00456541 0.0442309i
\(358\) −123378. + 40088.0i −0.0508781 + 0.0165313i
\(359\) 2.03225e6 + 1.47651e6i 0.832224 + 0.604646i 0.920188 0.391478i \(-0.128036\pi\)
−0.0879640 + 0.996124i \(0.528036\pi\)
\(360\) −1.00632e6 4.82280e6i −0.409240 1.96129i
\(361\) −166527. + 512517.i −0.0672538 + 0.206986i
\(362\) 1.67469e6 0.671682
\(363\) 2.36404e6 845048.i 0.941648 0.336601i
\(364\) 95915.1 0.0379432
\(365\) 950686. 2.92591e6i 0.373512 1.14955i
\(366\) −1.01367e6 + 449049.i −0.395543 + 0.175223i
\(367\) −1.03976e6 755427.i −0.402964 0.292770i 0.367783 0.929912i \(-0.380117\pi\)
−0.770747 + 0.637141i \(0.780117\pi\)
\(368\) −856193. + 278194.i −0.329573 + 0.107085i
\(369\) −216895. + 1.99206e6i −0.0829247 + 0.761617i
\(370\) −176841. + 243401.i −0.0671552 + 0.0924311i
\(371\) 124155. 90203.9i 0.0468306 0.0340244i
\(372\) −438320. 254156.i −0.164223 0.0952233i
\(373\) 2.43760e6i 0.907173i −0.891212 0.453586i \(-0.850144\pi\)
0.891212 0.453586i \(-0.149856\pi\)
\(374\) −917904. + 852623.i −0.339327 + 0.315194i
\(375\) 6.90751e6 + 1.48172e6i 2.53655 + 0.544110i
\(376\) 1.92588e6 + 625758.i 0.702523 + 0.228264i
\(377\) −2.52843e6 3.48009e6i −0.916217 1.26106i
\(378\) 49430.6 + 155081.i 0.0177937 + 0.0558250i
\(379\) −1.41146e6 4.34403e6i −0.504743 1.55344i −0.801202 0.598394i \(-0.795806\pi\)
0.296459 0.955046i \(-0.404194\pi\)
\(380\) −690366. 2.12473e6i −0.245256 0.754822i
\(381\) −1.38371e6 1.54254e6i −0.488351 0.544409i
\(382\) 53946.1 + 74250.5i 0.0189148 + 0.0260340i
\(383\) 1.91516e6 + 622274.i 0.667128 + 0.216763i 0.622951 0.782261i \(-0.285934\pi\)
0.0441766 + 0.999024i \(0.485934\pi\)
\(384\) −45153.5 + 210498.i −0.0156266 + 0.0728484i
\(385\) 169422. + 365181.i 0.0582529 + 0.125562i
\(386\) 1.60222e6i 0.547337i
\(387\) 280097. + 254100.i 0.0950672 + 0.0862436i
\(388\) −1.55759e6 + 1.13166e6i −0.525260 + 0.381624i
\(389\) −1.25417e6 + 1.72622e6i −0.420225 + 0.578390i −0.965675 0.259753i \(-0.916359\pi\)
0.545450 + 0.838143i \(0.316359\pi\)
\(390\) 5.59118e6 577108.i 1.86141 0.192130i
\(391\) 1.28863e6 418700.i 0.426270 0.138504i
\(392\) −2.65714e6 1.93052e6i −0.873371 0.634541i
\(393\) −279869. 631766.i −0.0914057 0.206336i
\(394\) 63477.3 195363.i 0.0206005 0.0634019i
\(395\) −7.08022e6 −2.28325
\(396\) −703241. + 992288.i −0.225355 + 0.317980i
\(397\) −4.80781e6 −1.53098 −0.765492 0.643445i \(-0.777504\pi\)
−0.765492 + 0.643445i \(0.777504\pi\)
\(398\) −517898. + 1.59393e6i −0.163884 + 0.504383i
\(399\) 106601. + 240637.i 0.0335219 + 0.0756712i
\(400\) −2.85476e6 2.07410e6i −0.892111 0.648157i
\(401\) −2.38869e6 + 776133.i −0.741821 + 0.241032i −0.655458 0.755231i \(-0.727524\pi\)
−0.0863629 + 0.996264i \(0.527524\pi\)
\(402\) 2.15367e6 222297.i 0.664682 0.0686069i
\(403\) 1.21160e6 1.66762e6i 0.371618 0.511488i
\(404\) 736347. 534987.i 0.224455 0.163076i
\(405\) −2.43613e6 5.58345e6i −0.738011 1.69147i
\(406\) 233698.i 0.0703624i
\(407\) 262928. 31763.8i 0.0786775 0.00950488i
\(408\) 453902. 2.11601e6i 0.134993 0.629315i
\(409\) 2.12985e6 + 692031.i 0.629566 + 0.204558i 0.606383 0.795173i \(-0.292620\pi\)
0.0231830 + 0.999731i \(0.492620\pi\)
\(410\) 2.20972e6 + 3.04142e6i 0.649200 + 0.893547i
\(411\) −707139. 788311.i −0.206490 0.230193i
\(412\) −297527. 915695.i −0.0863543 0.265771i
\(413\) 31642.1 + 97384.4i 0.00912831 + 0.0280941i
\(414\) −1.78754e6 + 1.02316e6i −0.512571 + 0.293387i
\(415\) 5.38417e6 + 7.41067e6i 1.53461 + 2.11221i
\(416\) 3.17030e6 + 1.03009e6i 0.898187 + 0.291839i
\(417\) −2.99956e6 643430.i −0.844729 0.181201i
\(418\) 1.49814e6 2.69034e6i 0.419383 0.753124i
\(419\) 2.21849e6i 0.617338i −0.951170 0.308669i \(-0.900117\pi\)
0.951170 0.308669i \(-0.0998835\pi\)
\(420\) −168712. 97826.1i −0.0466683 0.0270602i
\(421\) −1.68256e6 + 1.22245e6i −0.462664 + 0.336145i −0.794575 0.607166i \(-0.792306\pi\)
0.331912 + 0.943310i \(0.392306\pi\)
\(422\) 3.29411e6 4.53395e6i 0.900444 1.23936i
\(423\) 2.48917e6 + 271021.i 0.676401 + 0.0736464i
\(424\) 2.94986e6 958469.i 0.796870 0.258919i
\(425\) 4.29660e6 + 3.12166e6i 1.15386 + 0.838327i
\(426\) −2.31630e6 + 1.02611e6i −0.618402 + 0.273949i
\(427\) −48359.2 + 148834.i −0.0128354 + 0.0395033i
\(428\) −489497. −0.129164
\(429\) −3.72183e6 3.26034e6i −0.976367 0.855303i
\(430\) 709508. 0.185049
\(431\) 2.06957e6 6.36949e6i 0.536646 1.65163i −0.203421 0.979091i \(-0.565206\pi\)
0.740066 0.672534i \(-0.234794\pi\)
\(432\) −9955.14 + 1.77793e6i −0.00256648 + 0.458359i
\(433\) −2.48996e6 1.80906e6i −0.638222 0.463696i 0.221017 0.975270i \(-0.429062\pi\)
−0.859239 + 0.511574i \(0.829062\pi\)
\(434\) 106505. 34605.5i 0.0271422 0.00881904i
\(435\) 898012. + 8.70019e6i 0.227541 + 2.20448i
\(436\) −712354. + 980472.i −0.179465 + 0.247012i
\(437\) −2.69435e6 + 1.95756e6i −0.674917 + 0.490356i
\(438\) −1.03046e6 + 1.77714e6i −0.256653 + 0.442625i
\(439\) 4.70791e6i 1.16591i 0.812503 + 0.582957i \(0.198104\pi\)
−0.812503 + 0.582957i \(0.801896\pi\)
\(440\) 975840. + 8.07760e6i 0.240296 + 1.98907i
\(441\) −3.70383e6 1.66565e6i −0.906890 0.407837i
\(442\) 2.34825e6 + 762993.i 0.571727 + 0.185765i
\(443\) −970070. 1.33519e6i −0.234852 0.323246i 0.675283 0.737559i \(-0.264022\pi\)
−0.910134 + 0.414314i \(0.864022\pi\)
\(444\) −95505.7 + 85671.5i −0.0229917 + 0.0206243i
\(445\) 2.89710e6 + 8.91636e6i 0.693527 + 2.13446i
\(446\) −561616. 1.72848e6i −0.133691 0.411459i
\(447\) −61988.2 + 55605.3i −0.0146737 + 0.0131628i
\(448\) 192291. + 264666.i 0.0452651 + 0.0623021i
\(449\) 5.94324e6 + 1.93108e6i 1.39126 + 0.452047i 0.906353 0.422521i \(-0.138855\pi\)
0.484904 + 0.874567i \(0.338855\pi\)
\(450\) −7.36280e6 3.31112e6i −1.71400 0.770803i
\(451\) 637771. 3.24727e6i 0.147647 0.751756i
\(452\) 317164.i 0.0730194i
\(453\) 365875. 630991.i 0.0837697 0.144470i
\(454\) −3.57830e6 + 2.59979e6i −0.814775 + 0.591969i
\(455\) 466352. 641878.i 0.105605 0.145353i
\(456\) 546153. + 5.29128e6i 0.122999 + 1.19165i
\(457\) −590752. + 191947.i −0.132317 + 0.0429923i −0.374427 0.927256i \(-0.622160\pi\)
0.242110 + 0.970249i \(0.422160\pi\)
\(458\) −5.13479e6 3.73064e6i −1.14382 0.831037i
\(459\) 14983.1 2.67590e6i 0.00331949 0.592841i
\(460\) 762587. 2.34700e6i 0.168033 0.517153i
\(461\) 2.42434e6 0.531302 0.265651 0.964069i \(-0.414413\pi\)
0.265651 + 0.964069i \(0.414413\pi\)
\(462\) −59469.6 262149.i −0.0129625 0.0571403i
\(463\) −296059. −0.0641839 −0.0320919 0.999485i \(-0.510217\pi\)
−0.0320919 + 0.999485i \(0.510217\pi\)
\(464\) 788842. 2.42781e6i 0.170096 0.523503i
\(465\) −3.83202e6 + 1.69756e6i −0.821855 + 0.364077i
\(466\) 740674. + 538131.i 0.158002 + 0.114795i
\(467\) 5.57983e6 1.81300e6i 1.18394 0.384684i 0.350109 0.936709i \(-0.386144\pi\)
0.833828 + 0.552024i \(0.186144\pi\)
\(468\) 2.38291e6 + 259451.i 0.502913 + 0.0547571i
\(469\) 179635. 247246.i 0.0377101 0.0519035i
\(470\) 3.80040e6 2.76115e6i 0.793569 0.576562i
\(471\) 71361.2 + 41378.2i 0.0148221 + 0.00859447i
\(472\) 2.06953e6i 0.427580i
\(473\) −425060. 457604.i −0.0873568 0.0940453i
\(474\) 4.62257e6 + 991579.i 0.945013 + 0.202713i
\(475\) −1.24151e7 4.03390e6i −2.52473 0.820334i
\(476\) −50354.3 69306.7i −0.0101864 0.0140203i
\(477\) 3.32850e6 1.90518e6i 0.669811 0.383389i
\(478\) −291248. 896369.i −0.0583033 0.179439i
\(479\) −2.41696e6 7.43862e6i −0.481315 1.48134i −0.837247 0.546825i \(-0.815836\pi\)
0.355932 0.934512i \(-0.384164\pi\)
\(480\) −4.52584e6 5.04536e6i −0.896595 0.999515i
\(481\) −306801. 422276.i −0.0604636 0.0832211i
\(482\) 5.18725e6 + 1.68544e6i 1.01700 + 0.330442i
\(483\) −60975.9 + 284259.i −0.0118930 + 0.0554430i
\(484\) 1.29707e6 1.53361e6i 0.251680 0.297579i
\(485\) 1.59259e7i 3.07433i
\(486\) 808555. + 3.98653e6i 0.155281 + 0.765604i
\(487\) 4.25871e6 3.09414e6i 0.813685 0.591177i −0.101212 0.994865i \(-0.532272\pi\)
0.914897 + 0.403688i \(0.132272\pi\)
\(488\) −1.85911e6 + 2.55884e6i −0.353391 + 0.486400i
\(489\) −2.44849e6 + 252727.i −0.463048 + 0.0477947i
\(490\) −7.24620e6 + 2.35443e6i −1.36339 + 0.442992i
\(491\) −615959. 447521.i −0.115305 0.0837740i 0.528638 0.848847i \(-0.322703\pi\)
−0.643943 + 0.765073i \(0.722703\pi\)
\(492\) 649336. + 1.46579e6i 0.120936 + 0.272998i
\(493\) −1.18726e6 + 3.65401e6i −0.220003 + 0.677099i
\(494\) −6.06895e6 −1.11891
\(495\) 3.22129e6 + 9.53083e6i 0.590903 + 1.74831i
\(496\) 1.22325e6 0.223260
\(497\) −110504. + 340096.i −0.0200672 + 0.0617605i
\(498\) −2.47738e6 5.59236e6i −0.447631 1.01047i
\(499\) 1.90106e6 + 1.38120e6i 0.341778 + 0.248316i 0.745412 0.666605i \(-0.232253\pi\)
−0.403634 + 0.914921i \(0.632253\pi\)
\(500\) 5.37547e6 1.74660e6i 0.961593 0.312440i
\(501\) 8.32191e6 858967.i 1.48125 0.152891i
\(502\) 4.28206e6 5.89375e6i 0.758392 1.04384i
\(503\) −5.09335e6 + 3.70054e6i −0.897602 + 0.652146i −0.937849 0.347044i \(-0.887186\pi\)
0.0402470 + 0.999190i \(0.487186\pi\)
\(504\) 343920. + 311999.i 0.0603089 + 0.0547113i
\(505\) 7.52892e6i 1.31372i
\(506\) 3.08558e6 1.43152e6i 0.535748 0.248554i
\(507\) −831346. + 3.87559e6i −0.143635 + 0.669604i
\(508\) −1.57675e6 512316.i −0.271083 0.0880803i
\(509\) −3.10825e6 4.27814e6i −0.531768 0.731915i 0.455631 0.890169i \(-0.349414\pi\)
−0.987399 + 0.158253i \(0.949414\pi\)
\(510\) −3.35231e6 3.73712e6i −0.570714 0.636226i
\(511\) 89605.2 + 275776.i 0.0151803 + 0.0467202i
\(512\) 1.52343e6 + 4.68864e6i 0.256832 + 0.790446i
\(513\) 1.99746e6 + 6.26674e6i 0.335108 + 1.05135i
\(514\) −3.25877e6 4.48531e6i −0.544059 0.748833i
\(515\) −7.57458e6 2.46113e6i −1.25846 0.408900i
\(516\) 295836. + 63459.2i 0.0489133 + 0.0104923i
\(517\) −4.05762e6 796925.i −0.667643 0.131127i
\(518\) 28357.0i 0.00464340i
\(519\) −7.07329e6 4.10139e6i −1.15266 0.668363i
\(520\) 1.29730e7 9.42547e6i 2.10394 1.52860i
\(521\) 7.18594e6 9.89060e6i 1.15982 1.59635i 0.447907 0.894080i \(-0.352170\pi\)
0.711910 0.702271i \(-0.247830\pi\)
\(522\) 632154. 5.80598e6i 0.101542 0.932609i
\(523\) 7.25865e6 2.35848e6i 1.16038 0.377032i 0.335339 0.942098i \(-0.391149\pi\)
0.825046 + 0.565066i \(0.191149\pi\)
\(524\) −447243. 324941.i −0.0711567 0.0516984i
\(525\) −1.04188e6 + 461548.i −0.164976 + 0.0730835i
\(526\) −1.92266e6 + 5.91735e6i −0.302998 + 0.932531i
\(527\) −1.84107e6 −0.288765
\(528\) 267068. 2.92411e6i 0.0416904 0.456466i
\(529\) 2.75754e6 0.428433
\(530\) 2.22344e6 6.84305e6i 0.343824 1.05818i
\(531\) 522690. + 2.50500e6i 0.0804466 + 0.385542i
\(532\) 170353. + 123769.i 0.0260959 + 0.0189597i
\(533\) −6.20296e6 + 2.01546e6i −0.945760 + 0.307296i
\(534\) −642745. 6.22709e6i −0.0975406 0.945000i
\(535\) −2.38000e6 + 3.27579e6i −0.359495 + 0.494802i
\(536\) 4.99710e6 3.63061e6i 0.751287 0.545842i
\(537\) −229548. + 395880.i −0.0343509 + 0.0592418i
\(538\) 7.67497e6i 1.14320i
\(539\) 5.85964e6 + 3.26299e6i 0.868759 + 0.483775i
\(540\) −3.92685e6 2.88675e6i −0.579508 0.426015i
\(541\) 75501.1 + 24531.8i 0.0110907 + 0.00360360i 0.314557 0.949239i \(-0.398144\pi\)
−0.303466 + 0.952842i \(0.598144\pi\)
\(542\) 1.32501e6 + 1.82371e6i 0.193740 + 0.266660i
\(543\) 4.39752e6 3.94470e6i 0.640041 0.574136i
\(544\) −920040. 2.83159e6i −0.133294 0.410235i
\(545\) 3.09790e6 + 9.53436e6i 0.446762 + 1.37499i
\(546\) −394368. + 353760.i −0.0566136 + 0.0507841i
\(547\) −6.67467e6 9.18690e6i −0.953809 1.31281i −0.949814 0.312814i \(-0.898728\pi\)
−0.00399501 0.999992i \(-0.501272\pi\)
\(548\) −805790. 261817.i −0.114623 0.0372432i
\(549\) −1.60403e6 + 3.56682e6i −0.227134 + 0.505068i
\(550\) 1.16483e7 + 6.48646e6i 1.64194 + 0.914325i
\(551\) 9.44363e6i 1.32513i
\(552\) −2.94743e6 + 5.08316e6i −0.411714 + 0.710046i
\(553\) 539884. 392249.i 0.0750737 0.0545442i
\(554\) −6.61635e6 + 9.10663e6i −0.915892 + 1.26062i
\(555\) 108965. + 1.05568e6i 0.0150160 + 0.145479i
\(556\) −2.33428e6 + 758453.i −0.320233 + 0.104050i
\(557\) −1.33891e6 972776.i −0.182858 0.132854i 0.492591 0.870261i \(-0.336050\pi\)
−0.675449 + 0.737407i \(0.736050\pi\)
\(558\) 2.73961e6 571642.i 0.372480 0.0777210i
\(559\) −380376. + 1.17068e6i −0.0514853 + 0.158456i
\(560\) 470836. 0.0634453
\(561\) −401954. + 4.40097e6i −0.0539224 + 0.590393i
\(562\) −5.76405e6 −0.769816
\(563\) −3.94370e6 + 1.21375e7i −0.524364 + 1.61383i 0.241207 + 0.970474i \(0.422457\pi\)
−0.765571 + 0.643352i \(0.777543\pi\)
\(564\) 1.83157e6 811376.i 0.242452 0.107405i
\(565\) 2.12251e6 + 1.54209e6i 0.279723 + 0.203231i
\(566\) −1.82080e6 + 591613.i −0.238902 + 0.0776241i
\(567\) 495087. + 290788.i 0.0646732 + 0.0379856i
\(568\) −4.24819e6 + 5.84713e6i −0.552500 + 0.760452i
\(569\) 766315. 556760.i 0.0992263 0.0720921i −0.537066 0.843540i \(-0.680467\pi\)
0.636292 + 0.771448i \(0.280467\pi\)
\(570\) 1.06751e7 + 6.18986e6i 1.37621 + 0.797984i
\(571\) 5.17226e6i 0.663880i 0.943300 + 0.331940i \(0.107703\pi\)
−0.943300 + 0.331940i \(0.892297\pi\)
\(572\) −3.88439e6 762903.i −0.496402 0.0974944i
\(573\) 316551. + 67902.7i 0.0402770 + 0.00863973i
\(574\) −336994. 109496.i −0.0426915 0.0138713i
\(575\) −8.47561e6 1.16657e7i −1.06906 1.47143i
\(576\) 4.06134e6 + 7.09549e6i 0.510051 + 0.891099i
\(577\) −792541. 2.43919e6i −0.0991020 0.305005i 0.889199 0.457521i \(-0.151262\pi\)
−0.988301 + 0.152516i \(0.951262\pi\)
\(578\) 1.25744e6 + 3.87002e6i 0.156556 + 0.481829i
\(579\) 3.77401e6 + 4.20722e6i 0.467849 + 0.521554i
\(580\) 4.11309e6 + 5.66119e6i 0.507690 + 0.698775i
\(581\) −821112. 266795.i −0.100916 0.0327897i
\(582\) 2.23041e6 1.03978e7i 0.272946 1.27243i
\(583\) −5.74553e6 + 2.66558e6i −0.700098 + 0.324803i
\(584\) 5.86057e6i 0.711062i
\(585\) 1.33223e7 1.46853e7i 1.60949 1.77416i
\(586\) −7.88783e6 + 5.73084e6i −0.948885 + 0.689405i
\(587\) 3.23077e6 4.44677e6i 0.387000 0.532660i −0.570422 0.821352i \(-0.693220\pi\)
0.957422 + 0.288692i \(0.0932204\pi\)
\(588\) −3.23195e6 + 333594.i −0.385498 + 0.0397901i
\(589\) 4.30381e6 1.39839e6i 0.511169 0.166089i
\(590\) 3.88399e6 + 2.82188e6i 0.459354 + 0.333741i
\(591\) −293491. 662516.i −0.0345641 0.0780239i
\(592\) 95718.4 294591.i 0.0112251 0.0345474i
\(593\) −1.18200e7 −1.38032 −0.690161 0.723656i \(-0.742460\pi\)
−0.690161 + 0.723656i \(0.742460\pi\)
\(594\) −768346. 6.67367e6i −0.0893493 0.776066i
\(595\) −708640. −0.0820603
\(596\) −20587.8 + 63362.6i −0.00237407 + 0.00730664i
\(597\) 2.39453e6 + 5.40533e6i 0.274969 + 0.620706i
\(598\) −5.42352e6 3.94042e6i −0.620195 0.450598i
\(599\) −1.28770e6 + 418398.i −0.146638 + 0.0476456i −0.381416 0.924403i \(-0.624564\pi\)
0.234778 + 0.972049i \(0.424564\pi\)
\(600\) −2.29096e7 + 2.36467e6i −2.59800 + 0.268159i
\(601\) −6.25507e6 + 8.60937e6i −0.706393 + 0.972266i 0.293474 + 0.955967i \(0.405188\pi\)
−0.999867 + 0.0162994i \(0.994812\pi\)
\(602\) −54101.7 + 39307.2i −0.00608443 + 0.00442060i
\(603\) 5.13163e6 5.65665e6i 0.574728 0.633528i
\(604\) 583554.i 0.0650862i
\(605\) −3.95665e6 1.61368e7i −0.439481 1.79237i
\(606\) −1.05442e6 + 4.91552e6i −0.116636 + 0.543736i
\(607\) 1.11200e7 + 3.61309e6i 1.22499 + 0.398022i 0.848896 0.528561i \(-0.177268\pi\)
0.376091 + 0.926583i \(0.377268\pi\)
\(608\) 4.30148e6 + 5.92048e6i 0.471910 + 0.649528i
\(609\) −550471. 613660.i −0.0601439 0.0670478i
\(610\) 2.26734e6 + 6.97815e6i 0.246713 + 0.759304i
\(611\) 2.51842e6 + 7.75089e6i 0.272913 + 0.839940i
\(612\) −1.06352e6 1.85806e6i −0.114781 0.200531i
\(613\) 994442. + 1.36873e6i 0.106888 + 0.147118i 0.859110 0.511791i \(-0.171018\pi\)
−0.752222 + 0.658910i \(0.771018\pi\)
\(614\) −1.34819e7 4.38055e6i −1.44322 0.468930i
\(615\) 1.29664e7 + 2.78141e6i 1.38240 + 0.296535i
\(616\) −521914. 561874.i −0.0554176 0.0596606i
\(617\) 873630.i 0.0923878i −0.998932 0.0461939i \(-0.985291\pi\)
0.998932 0.0461939i \(-0.0147092\pi\)
\(618\) 4.60065e6 + 2.66765e6i 0.484561 + 0.280968i
\(619\) −9.03259e6 + 6.56256e6i −0.947514 + 0.688409i −0.950218 0.311587i \(-0.899139\pi\)
0.00270345 + 0.999996i \(0.499139\pi\)
\(620\) −1.97095e6 + 2.71278e6i −0.205919 + 0.283424i
\(621\) −2.28380e6 + 6.89717e6i −0.237645 + 0.717699i
\(622\) 222241. 72210.3i 0.0230328 0.00748382i
\(623\) −714882. 519392.i −0.0737929 0.0536137i
\(624\) −5.29106e6 + 2.34391e6i −0.543978 + 0.240979i
\(625\) 7.18783e6 2.21219e7i 0.736034 2.26528i
\(626\) 5.23214e6 0.533634
\(627\) −2.40314e6 1.05933e7i −0.244123 1.07612i
\(628\) 65996.5 0.00667762
\(629\) −144063. + 443379.i −0.0145186 + 0.0446836i
\(630\) 1.05449e6 220028.i 0.105850 0.0220865i
\(631\) 1.38000e7 + 1.00263e7i 1.37977 + 1.00246i 0.996901 + 0.0786601i \(0.0250642\pi\)
0.382870 + 0.923802i \(0.374936\pi\)
\(632\) 1.28274e7 4.16787e6i 1.27746 0.415070i
\(633\) −2.02975e6 1.96647e7i −0.201341 1.95065i
\(634\) 3.40434e6 4.68568e6i 0.336364 0.462966i
\(635\) −1.10948e7 + 8.06088e6i −1.09191 + 0.793319i
\(636\) 1.53914e6 2.65441e6i 0.150881 0.260210i
\(637\) 1.32184e7i 1.29071i
\(638\) −1.85882e6 + 9.46437e6i −0.180795 + 0.920534i
\(639\) −3.66531e6 + 8.15042e6i −0.355107 + 0.789637i
\(640\) 1.35504e6 + 440278.i 0.130768 + 0.0424890i
\(641\) 8.43956e6 + 1.16161e7i 0.811288 + 1.11664i 0.991123 + 0.132945i \(0.0424433\pi\)
−0.179836 + 0.983697i \(0.557557\pi\)
\(642\) 2.01264e6 1.80540e6i 0.192720 0.172876i
\(643\) −4.96002e6 1.52654e7i −0.473103 1.45606i −0.848499 0.529197i \(-0.822493\pi\)
0.375396 0.926865i \(-0.377507\pi\)
\(644\) 71876.2 + 221212.i 0.00682921 + 0.0210182i
\(645\) 1.86307e6 1.67123e6i 0.176332 0.158175i
\(646\) 3.18612e6 + 4.38532e6i 0.300387 + 0.413447i
\(647\) 4.04543e6 + 1.31444e6i 0.379931 + 0.123447i 0.492755 0.870168i \(-0.335990\pi\)
−0.112825 + 0.993615i \(0.535990\pi\)
\(648\) 7.70037e6 + 8.68160e6i 0.720400 + 0.812198i
\(649\) −506860. 4.19558e6i −0.0472364 0.391003i
\(650\) 2.62766e7i 2.43942i
\(651\) 198155. 341739.i 0.0183253 0.0316040i
\(652\) −1.59323e6 + 1.15755e6i −0.146777 + 0.106640i
\(653\) −5.74254e6 + 7.90393e6i −0.527013 + 0.725371i −0.986672 0.162725i \(-0.947972\pi\)
0.459659 + 0.888096i \(0.347972\pi\)
\(654\) −687295. 6.65870e6i −0.0628346 0.608758i
\(655\) −4.34911e6 + 1.41311e6i −0.396093 + 0.128698i
\(656\) −3.13130e6 2.27502e6i −0.284096 0.206408i
\(657\) 1.48017e6 + 7.09375e6i 0.133782 + 0.641154i
\(658\) −136820. + 421089.i −0.0123193 + 0.0379149i
\(659\) 1.28985e7 1.15698 0.578489 0.815691i \(-0.303643\pi\)
0.578489 + 0.815691i \(0.303643\pi\)
\(660\) 6.05443e6 + 5.30371e6i 0.541020 + 0.473936i
\(661\) 1.16708e7 1.03896 0.519479 0.854483i \(-0.326126\pi\)
0.519479 + 0.854483i \(0.326126\pi\)
\(662\) −147322. + 453409.i −0.0130654 + 0.0402111i
\(663\) 7.96339e6 3.52774e6i 0.703581 0.311682i
\(664\) −1.41170e7 1.02566e7i −1.24257 0.902784i
\(665\) 1.65656e6 538249.i 0.145262 0.0471986i
\(666\) 76705.9 704500.i 0.00670105 0.0615454i
\(667\) 6.13151e6 8.43930e6i 0.533646 0.734500i
\(668\) 5.41504e6 3.93426e6i 0.469527 0.341131i
\(669\) −5.54611e6 3.21587e6i −0.479097 0.277800i
\(670\) 1.43288e7i 1.23317i
\(671\) 3.14228e6 5.64288e6i 0.269426 0.483832i
\(672\) 624623. + 133987.i 0.0533574 + 0.0114456i
\(673\) 1.21328e7 + 3.94219e6i 1.03258 + 0.335505i 0.775809 0.630967i \(-0.217342\pi\)
0.256770 + 0.966473i \(0.417342\pi\)
\(674\) 5.14847e6 + 7.08626e6i 0.436544 + 0.600852i
\(675\) −2.71330e7 + 8.64838e6i −2.29212 + 0.730593i
\(676\) 979961. + 3.01601e6i 0.0824788 + 0.253844i
\(677\) −4.33081e6 1.33288e7i −0.363159 1.11769i −0.951126 0.308804i \(-0.900071\pi\)
0.587967 0.808885i \(-0.299929\pi\)
\(678\) −1.16979e6 1.30407e6i −0.0977310 0.108949i
\(679\) −882305. 1.21439e6i −0.0734420 0.101084i
\(680\) −1.36214e7 4.42585e6i −1.12966 0.367050i
\(681\) −3.27239e6 + 1.52553e7i −0.270394 + 1.26053i
\(682\) −4.58851e6 + 554330.i −0.377756 + 0.0456360i
\(683\) 7.54042e6i 0.618506i −0.950980 0.309253i \(-0.899921\pi\)
0.950980 0.309253i \(-0.100079\pi\)
\(684\) 3.89745e6 + 3.53571e6i 0.318523 + 0.288959i
\(685\) −5.66997e6 + 4.11948e6i −0.461694 + 0.335441i
\(686\) 846594. 1.16524e6i 0.0686855 0.0945375i
\(687\) −2.22707e7 + 2.29873e6i −1.80029 + 0.185821i
\(688\) −694723. + 225729.i −0.0559552 + 0.0181810i
\(689\) 1.00989e7 + 7.33729e6i 0.810450 + 0.588827i
\(690\) 5.52088e6 + 1.24626e7i 0.441454 + 0.996524i
\(691\) −4.75049e6 + 1.46205e7i −0.378481 + 1.16484i 0.562620 + 0.826716i \(0.309794\pi\)
−0.941100 + 0.338127i \(0.890206\pi\)
\(692\) −6.54154e6 −0.519295
\(693\) −773645. 548287.i −0.0611939 0.0433686i
\(694\) 3.09033e6 0.243560
\(695\) −6.27388e6 + 1.93090e7i −0.492691 + 1.51635i
\(696\) −6.74843e6 1.52337e7i −0.528056 1.19202i
\(697\) 4.71282e6 + 3.42406e6i 0.367450 + 0.266968i
\(698\) −1.09492e7 + 3.55762e6i −0.850638 + 0.276389i
\(699\) 3.21246e6 331583.i 0.248683 0.0256684i
\(700\) −535880. + 737576.i −0.0413355 + 0.0568934i
\(701\) 1.25863e7 9.14445e6i 0.967389 0.702850i 0.0125343 0.999921i \(-0.496010\pi\)
0.954855 + 0.297072i \(0.0960101\pi\)
\(702\) −1.07546e7 + 7.72203e6i −0.823666 + 0.591410i
\(703\) 1.14589e6i 0.0874492i
\(704\) −5.68231e6 1.22480e7i −0.432109 0.931392i
\(705\) 3.47550e6 1.62022e7i 0.263357 1.22772i
\(706\) −1.25478e7 4.07704e6i −0.947451 0.307845i
\(707\) 417107. + 574098.i 0.0313833 + 0.0431954i
\(708\) 1.36707e6 + 1.52400e6i 0.102496 + 0.114262i
\(709\) 2.35534e6 + 7.24899e6i 0.175970 + 0.541579i 0.999676 0.0254369i \(-0.00809769\pi\)
−0.823707 + 0.567016i \(0.808098\pi\)
\(710\) 5.18102e6 + 1.59455e7i 0.385717 + 1.18712i
\(711\) 1.44739e7 8.28461e6i 1.07377 0.614608i
\(712\) −1.04975e7 1.44485e7i −0.776041 1.06813i
\(713\) 4.75404e6 + 1.54468e6i 0.350218 + 0.113793i
\(714\) 462660. + 99244.3i 0.0339638 + 0.00728551i
\(715\) −2.39919e7 + 2.22856e7i −1.75509 + 1.63027i
\(716\) 366119.i 0.0266895i
\(717\) −2.87615e6 1.66771e6i −0.208936 0.121150i
\(718\) −8.98068e6 + 6.52485e6i −0.650127 + 0.472345i
\(719\) 7.97910e6 1.09823e7i 0.575614 0.792265i −0.417592 0.908635i \(-0.637126\pi\)
0.993206 + 0.116370i \(0.0371258\pi\)
\(720\) 1.16974e7 + 1.27361e6i 0.840928 + 0.0915601i
\(721\) 713928. 231969.i 0.0511466 0.0166185i
\(722\) −1.92661e6 1.39976e6i −0.137547 0.0999335i
\(723\) 1.75910e7 7.79272e6i 1.25154 0.554425i
\(724\) 1.46052e6 4.49502e6i 0.103553 0.318702i
\(725\) 4.08879e7 2.88902
\(726\) 323299. + 1.10896e7i 0.0227648 + 0.780861i
\(727\) −1.19504e6 −0.0838581 −0.0419290 0.999121i \(-0.513350\pi\)
−0.0419290 + 0.999121i \(0.513350\pi\)
\(728\) −467049. + 1.43743e6i −0.0326613 + 0.100521i
\(729\) 1.15133e7 + 8.56354e6i 0.802384 + 0.596808i
\(730\) 1.09988e7 + 7.99110e6i 0.763903 + 0.555008i
\(731\) 1.04560e6 339738.i 0.0723726 0.0235153i
\(732\) 321254. + 3.11240e6i 0.0221600 + 0.214693i
\(733\) 7.49186e6 1.03117e7i 0.515027 0.708874i −0.469730 0.882810i \(-0.655649\pi\)
0.984757 + 0.173936i \(0.0556487\pi\)
\(734\) 4.59478e6 3.33830e6i 0.314792 0.228710i
\(735\) −1.34817e7 + 2.32507e7i −0.920506 + 1.58751i
\(736\) 8.08369e6i 0.550066i
\(737\) −9.24146e6 + 8.58422e6i −0.626718 + 0.582146i
\(738\) −8.07606e6 3.63188e6i −0.545831 0.245465i
\(739\) −1.24413e7 4.04241e6i −0.838019 0.272289i −0.141600 0.989924i \(-0.545225\pi\)
−0.696419 + 0.717635i \(0.745225\pi\)
\(740\) 499084. + 686930.i 0.0335038 + 0.0461141i
\(741\) −1.59362e7 + 1.42953e7i −1.06620 + 0.956416i
\(742\) 209566. + 644979.i 0.0139737 + 0.0430067i
\(743\) −1.73208e6 5.33080e6i −0.115106 0.354258i 0.876863 0.480739i \(-0.159632\pi\)
−0.991969 + 0.126481i \(0.959632\pi\)
\(744\) 5.94326e6 5.33128e6i 0.393634 0.353101i
\(745\) 323932. + 445854.i 0.0213827 + 0.0294308i
\(746\) 1.02448e7 + 3.32872e6i 0.673991 + 0.218993i
\(747\) −1.96780e7 8.84935e6i −1.29026 0.580243i
\(748\) 1.48800e6 + 3.20731e6i 0.0972408 + 0.209598i
\(749\) 381640.i 0.0248570i
\(750\) −1.56601e7 + 2.70075e7i −1.01658 + 1.75320i
\(751\) 5.20205e6 3.77951e6i 0.336570 0.244532i −0.406643 0.913587i \(-0.633301\pi\)
0.743213 + 0.669055i \(0.233301\pi\)
\(752\) −2.84275e6 + 3.91271e6i −0.183313 + 0.252309i
\(753\) −2.63850e6 2.55625e7i −0.169578 1.64292i
\(754\) 1.80789e7 5.87419e6i 1.15809 0.376288i
\(755\) −3.90523e6 2.83732e6i −0.249333 0.181151i
\(756\) 459359. + 2572.09i 0.0292313 + 0.000163674i
\(757\) −3.63976e6 + 1.12020e7i −0.230852 + 0.710488i 0.766793 + 0.641894i \(0.221851\pi\)
−0.997645 + 0.0685936i \(0.978149\pi\)
\(758\) 2.01845e7 1.27599
\(759\) 4.73040e6 1.10270e7i 0.298053 0.694789i
\(760\) 3.52038e7 2.21083
\(761\) −4.28628e6 + 1.31918e7i −0.268299 + 0.825739i 0.722616 + 0.691250i \(0.242939\pi\)
−0.990915 + 0.134490i \(0.957061\pi\)
\(762\) 8.37258e6 3.70900e6i 0.522362 0.231403i
\(763\) −764432. 555392.i −0.0475365 0.0345373i
\(764\) 246342. 80041.3i 0.0152688 0.00496113i
\(765\) −1.76054e7 1.91687e6i −1.08766 0.118424i
\(766\) −5.23060e6 + 7.19930e6i −0.322092 + 0.443321i
\(767\) −6.73831e6 + 4.89567e6i −0.413583 + 0.300486i
\(768\) 1.36957e7 + 7.94133e6i 0.837878 + 0.485836i
\(769\)