Properties

Label 33.6.f.a.2.13
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 2.13
Character \(\chi\) \(=\) 33.2
Dual form 33.6.f.a.17.13

$q$-expansion

\(f(q)\) \(=\) \(q+(1.36557 - 4.20281i) q^{2} +(-11.6039 - 10.4091i) q^{3} +(10.0898 + 7.33064i) q^{4} +(-98.1154 + 31.8796i) q^{5} +(-59.5934 + 34.5547i) q^{6} +(-5.71539 + 7.86655i) q^{7} +(158.991 - 115.514i) q^{8} +(26.3023 + 241.572i) q^{9} +O(q^{10})\) \(q+(1.36557 - 4.20281i) q^{2} +(-11.6039 - 10.4091i) q^{3} +(10.0898 + 7.33064i) q^{4} +(-98.1154 + 31.8796i) q^{5} +(-59.5934 + 34.5547i) q^{6} +(-5.71539 + 7.86655i) q^{7} +(158.991 - 115.514i) q^{8} +(26.3023 + 241.572i) 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} +(1470.36 + 651.362i) q^{15} +(-145.042 - 446.394i) q^{16} +(-218.298 - 671.853i) q^{17} +(1051.20 + 219.341i) 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} +(-3047.32 - 314.537i) q^{24} +(6082.15 - 4418.94i) q^{25} +(-2054.42 + 2827.66i) q^{26} +(2209.33 - 3076.97i) q^{27} +(-115.334 + 37.4742i) q^{28} +(-4400.01 - 3196.79i) q^{29} +(4745.44 - 5290.16i) q^{30} +(-805.352 + 2478.62i) q^{31} +4214.60 q^{32} +(6254.88 - 108.672i) q^{33} -3121.77 q^{34} +(309.985 - 954.034i) q^{35} +(-1505.49 + 2630.22i) q^{36} +(533.898 + 387.900i) q^{37} +(-7297.64 + 2371.15i) q^{38} +(6184.60 + 10666.0i) q^{39} +(-11917.0 + 16402.3i) q^{40} +(-6671.34 + 4847.01i) q^{41} +(68.7726 - 666.288i) 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} +(-2963.49 + 6689.68i) q^{48} +(5164.43 + 15894.5i) q^{49} +(-10266.3 - 31596.5i) q^{50} +(-4460.25 + 10068.4i) 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} +(-2779.06 + 26924.3i) q^{57} +(-19444.0 + 14126.9i) q^{58} +(-6189.78 + 8519.50i) q^{59} +(10060.7 + 17350.8i) q^{60} +(15306.5 - 4973.39i) q^{61} +(9317.39 + 6769.48i) q^{62} +(-2050.67 - 1173.77i) q^{63} +(10396.7 - 31997.8i) q^{64} +81595.9 q^{65} +(8084.78 - 26436.5i) q^{66} -31430.0 q^{67} +(2722.53 - 8379.10i) q^{68} +(19964.8 - 22256.6i) q^{69} +(-3586.32 - 2605.61i) q^{70} +(-34976.4 + 11364.5i) q^{71} +(32086.8 + 35369.6i) q^{72} +(17528.4 - 24125.8i) q^{73} +(2359.35 - 1714.17i) q^{74} +(-116574. - 12032.5i) 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} +(-57665.4 + 12707.8i) q^{81} +(11260.8 + 34657.3i) q^{82} +(-27437.9 - 84445.3i) q^{83} +(1728.40 + 765.669i) 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} +(-110131. + 11991.1i) q^{90} +(6221.88 - 4520.46i) q^{91} +(-14060.3 + 19352.4i) q^{92} +(35145.4 - 20378.7i) q^{93} +(43305.9 - 14070.9i) q^{94} +(144921. + 105291. i) q^{95} +(-48905.9 - 43870.1i) q^{96} +(-47704.1 + 146818. i) q^{97} +73853.9 q^{98} +(-73712.4 - 63846.5i) 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 \(-0.772269\pi\)
0.996207 0.0870098i \(-0.0277311\pi\)
\(3\) −11.6039 10.4091i −0.744392 0.667742i
\(4\) 10.0898 + 7.33064i 0.315305 + 0.229082i
\(5\) −98.1154 + 31.8796i −1.75514 + 0.570280i −0.996679 0.0814355i \(-0.974050\pi\)
−0.758463 + 0.651716i \(0.774050\pi\)
\(6\) −59.5934 + 34.5547i −0.675802 + 0.391858i
\(7\) −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
\(9\) 26.3023 + 241.572i 0.108240 + 0.994125i
\(10\) 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
\(15\) 1470.36 + 651.362i 1.68731 + 0.747471i
\(16\) −145.042 446.394i −0.141643 0.435932i
\(17\) −218.298 671.853i −0.183201 0.563835i 0.816712 0.577046i \(-0.195795\pi\)
−0.999913 + 0.0132112i \(0.995795\pi\)
\(18\) 1051.20 + 219.341i 0.764722 + 0.159566i
\(19\) −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 \(0.123392\pi\)
−0.925801 + 0.378010i \(0.876608\pi\)
\(24\) −3047.32 314.537i −1.07992 0.111466i
\(25\) 6082.15 4418.94i 1.94629 1.41406i
\(26\) −2054.42 + 2827.66i −0.596013 + 0.820341i
\(27\) 2209.33 3076.97i 0.583246 0.812295i
\(28\) −115.334 + 37.4742i −0.0278010 + 0.00903311i
\(29\) −4400.01 3196.79i −0.971535 0.705861i −0.0157339 0.999876i \(-0.505008\pi\)
−0.955801 + 0.294015i \(0.905008\pi\)
\(30\) 4745.44 5290.16i 0.962660 1.07316i
\(31\) −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
\(33\) 6254.88 108.672i 0.999849 0.0173713i
\(34\) −3121.77 −0.463131
\(35\) 309.985 954.034i 0.0427730 0.131642i
\(36\) −1505.49 + 2630.22i −0.193608 + 0.338248i
\(37\) 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
\(39\) 6184.60 + 10666.0i 0.651103 + 1.12290i
\(40\) −11917.0 + 16402.3i −1.17765 + 1.62089i
\(41\) −6671.34 + 4847.01i −0.619803 + 0.450313i −0.852853 0.522152i \(-0.825129\pi\)
0.233050 + 0.972465i \(0.425129\pi\)
\(42\) 68.7726 666.288i 0.00601578 0.0582825i
\(43\) 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 0.960726 0.277499i \(-0.0895055\pi\)
−0.560798 + 0.827953i \(0.689505\pi\)
\(48\) −2963.49 + 6689.68i −0.185652 + 0.419085i
\(49\) 5164.43 + 15894.5i 0.307279 + 0.945706i
\(50\) −10266.3 31596.5i −0.580751 1.78737i
\(51\) −4460.25 + 10068.4i −0.240123 + 0.542045i
\(52\) −5798.01 7980.28i −0.297352 0.409270i
\(53\) 15010.2 + 4877.10i 0.734000 + 0.238491i 0.652083 0.758148i \(-0.273896\pi\)
0.0819177 + 0.996639i \(0.473896\pi\)
\(54\) −9914.90 13487.2i −0.462705 0.629417i
\(55\) 20142.2 36171.1i 0.897841 1.61234i
\(56\) 1910.92i 0.0814278i
\(57\) −2779.06 + 26924.3i −0.113295 + 1.09763i
\(58\) −19444.0 + 14126.9i −0.758956 + 0.551414i
\(59\) −6189.78 + 8519.50i −0.231497 + 0.318628i −0.908924 0.416962i \(-0.863095\pi\)
0.677427 + 0.735590i \(0.263095\pi\)
\(60\) 10060.7 + 17350.8i 0.360786 + 0.622215i
\(61\) 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
\(63\) −2050.67 1173.77i −0.0650945 0.0372590i
\(64\) 10396.7 31997.8i 0.317282 0.976494i
\(65\) 81595.9 2.39544
\(66\) 8084.78 26436.5i 0.228459 0.747040i
\(67\) −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
\(69\) 19964.8 22256.6i 0.504827 0.562776i
\(70\) −3586.32 2605.61i −0.0874789 0.0635571i
\(71\) −34976.4 + 11364.5i −0.823435 + 0.267550i −0.690277 0.723545i \(-0.742512\pi\)
−0.133157 + 0.991095i \(0.542512\pi\)
\(72\) 32086.8 + 35369.6i 0.729450 + 0.804080i
\(73\) 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
\(75\) −116574. 12032.5i −2.39303 0.247003i
\(76\) 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
\(81\) −57665.4 + 12707.8i −0.976568 + 0.215208i
\(82\) 11260.8 + 34657.3i 0.184942 + 0.569194i
\(83\) −27437.9 84445.3i −0.437176 1.34549i −0.890840 0.454316i \(-0.849884\pi\)
0.453664 0.891173i \(-0.350116\pi\)
\(84\) 1728.40 + 765.669i 0.0267267 + 0.0118398i
\(85\) 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 \(-0.791949\pi\)
0.793892 0.608058i \(-0.208051\pi\)
\(90\) −110131. + 11991.1i −1.43319 + 0.156046i
\(91\) 6221.88 4520.46i 0.0787623 0.0572241i
\(92\) −14060.3 + 19352.4i −0.173191 + 0.238377i
\(93\) 35145.4 20378.7i 0.421367 0.244326i
\(94\) 43305.9 14070.9i 0.505508 0.164249i
\(95\) 144921. + 105291.i 1.64749 + 1.19697i
\(96\) −48905.9 43870.1i −0.541606 0.485837i
\(97\) −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
\(99\) −73712.4 63846.5i −0.755880 0.654711i
\(100\) 93761.0 0.937610
\(101\) −22552.0 + 69407.8i −0.219979 + 0.677025i 0.778784 + 0.627292i \(0.215837\pi\)
−0.998763 + 0.0497326i \(0.984163\pi\)
\(102\) 36224.8 + 32494.7i 0.344751 + 0.309252i
\(103\) −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
\(105\) −13527.7 + 7843.90i −0.119743 + 0.0694318i
\(106\) 40995.0 56424.8i 0.354378 0.487759i
\(107\) 31753.0 23069.9i 0.268118 0.194799i −0.445600 0.895232i \(-0.647010\pi\)
0.713718 + 0.700433i \(0.247010\pi\)
\(108\) 44847.8 14850.1i 0.369983 0.122509i
\(109\) 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 0.750397 0.660987i \(-0.229862\pi\)
−0.860522 + 0.509414i \(0.829862\pi\)
\(114\) 109363. + 48447.1i 0.788147 + 0.349145i
\(115\) −61145.8 188187.i −0.431143 1.32692i
\(116\) −20960.5 64509.7i −0.144629 0.445123i
\(117\) 39257.7 188144.i 0.265131 1.27065i
\(118\) 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
\(123\) 127867. + 13198.1i 0.762069 + 0.0786590i
\(124\) −26295.7 + 19104.9i −0.153578 + 0.111581i
\(125\) −266382. + 366644.i −1.52486 + 2.09879i
\(126\) −7733.47 + 7015.70i −0.0433958 + 0.0393681i
\(127\) −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
\(129\) −16199.6 + 18059.2i −0.0857100 + 0.0955486i
\(130\) 111425. 342932.i 0.578263 1.77971i
\(131\) 44326.5 0.225676 0.112838 0.993613i \(-0.464006\pi\)
0.112838 + 0.993613i \(0.464006\pi\)
\(132\) 63906.9 + 44755.8i 0.319237 + 0.223571i
\(133\) 16883.8 0.0827639
\(134\) −42920.0 + 132094.i −0.206489 + 0.635509i
\(135\) −118677. + 372331.i −0.560444 + 1.75831i
\(136\) −112316. 81602.3i −0.520708 0.378316i
\(137\) 64609.8 20993.0i 0.294102 0.0955594i −0.158250 0.987399i \(-0.550585\pi\)
0.452352 + 0.891840i \(0.350585\pi\)
\(138\) −66276.6 114301.i −0.296253 0.510920i
\(139\) −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
\(141\) 16491.6 159775.i 0.0698579 0.676803i
\(142\) 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
\(147\) 105519. 238195.i 0.402752 0.909160i
\(148\) 2543.35 + 7827.63i 0.00954448 + 0.0293749i
\(149\) −1650.77 5080.54i −0.00609145 0.0187475i 0.947965 0.318376i \(-0.103137\pi\)
−0.954056 + 0.299628i \(0.903137\pi\)
\(150\) −209760. + 473506.i −0.761194 + 1.71829i
\(151\) −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
\(156\) −15787.6 + 152954.i −0.0519403 + 0.503212i
\(157\) 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
\(159\) −123411. 212836.i −0.387134 0.667654i
\(160\) −413517. + 134360.i −1.27701 + 0.414925i
\(161\) −15088.2 10962.2i −0.0458747 0.0333299i
\(162\) −25337.8 + 259710.i −0.0758545 + 0.777501i
\(163\) −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
\(165\) −610236. + 210066.i −1.74497 + 0.600683i
\(166\) −392376. −1.10518
\(167\) −165845. + 510420.i −0.460164 + 1.41624i 0.404801 + 0.914405i \(0.367341\pi\)
−0.864965 + 0.501833i \(0.832659\pi\)
\(168\) 19890.9 22174.2i 0.0543728 0.0606142i
\(169\) 205713. + 149459.i 0.554044 + 0.402537i
\(170\) 306294. 99520.8i 0.812860 0.264114i
\(171\) 312505. 283501.i 0.817273 0.741419i
\(172\) 11408.7 15702.7i 0.0294045 0.0404719i
\(173\) 424340. 308301.i 1.07795 0.783177i 0.100627 0.994924i \(-0.467915\pi\)
0.977325 + 0.211747i \(0.0679153\pi\)
\(174\) 372675. + 38466.6i 0.933163 + 0.0963188i
\(175\) 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 0.788417 0.615142i \(-0.210901\pi\)
−0.828669 + 0.559740i \(0.810901\pi\)
\(180\) 63861.9 306060.i 0.146913 0.704085i
\(181\) −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
\(183\) −229384. 101616.i −0.506332 0.224302i
\(184\) 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
\(189\) 11578.0 + 34965.9i 0.0235764 + 0.0712017i
\(190\) 640420. 465292.i 1.28701 0.935065i
\(191\) −12207.5 + 16802.2i −0.0242127 + 0.0333260i −0.820952 0.570998i \(-0.806557\pi\)
0.796739 + 0.604324i \(0.206557\pi\)
\(192\) −453710. + 263080.i −0.888229 + 0.515032i
\(193\) 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
\(195\) −946833. 849337.i −1.78315 1.59954i
\(196\) −64408.9 + 198230.i −0.119758 + 0.368578i
\(197\) 46484.0 0.0853371 0.0426685 0.999089i \(-0.486414\pi\)
0.0426685 + 0.999089i \(0.486414\pi\)
\(198\) −368994. + 222612.i −0.668893 + 0.403539i
\(199\) 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
\(201\) 364711. + 327157.i 0.636736 + 0.571171i
\(202\) 260911. + 189563.i 0.449898 + 0.326870i
\(203\) 50295.5 16342.0i 0.0856621 0.0278333i
\(204\) −118811. + 68891.4i −0.199885 + 0.115902i
\(205\) 500040. 688246.i 0.831037 1.14382i
\(206\) −276002. + 200527.i −0.453152 + 0.329234i
\(207\) −463340. + 50448.4i −0.751579 + 0.0818317i
\(208\) 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
\(213\) 524158. + 232199.i 0.791613 + 0.350680i
\(214\) −53597.3 164955.i −0.0800033 0.246225i
\(215\) 49614.3 + 152697.i 0.0731999 + 0.225286i
\(216\) −4168.23 744421.i −0.00607879 1.08564i
\(217\) −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
\(222\) −45220.6 4667.56i −0.0615820 0.00635634i
\(223\) −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
\(225\) 1.22747e6 + 1.35305e6i 1.61642 + 1.78179i
\(226\) −106881. + 34727.7i −0.139197 + 0.0452278i
\(227\) −809738. 588309.i −1.04299 0.757776i −0.0721221 0.997396i \(-0.522977\pi\)
−0.970867 + 0.239620i \(0.922977\pi\)
\(228\) −225413. + 251288.i −0.287171 + 0.320136i
\(229\) −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
\(231\) −34894.2 + 49825.5i −0.0430252 + 0.0614358i
\(232\) −1.06884e6 −1.30374
\(233\) −64020.4 + 197035.i −0.0772554 + 0.237768i −0.982225 0.187709i \(-0.939894\pi\)
0.904969 + 0.425477i \(0.139894\pi\)
\(234\) −737122. 421916.i −0.880034 0.503717i
\(235\) −859996. 624824.i −1.01584 0.738054i
\(236\) −124907. + 40584.7i −0.145984 + 0.0474331i
\(237\) 536649. + 925509.i 0.620611 + 1.07031i
\(238\) 17842.1 24557.6i 0.0204176 0.0281024i
\(239\) 172546. 125362.i 0.195394 0.141962i −0.485787 0.874077i \(-0.661467\pi\)
0.681180 + 0.732116i \(0.261467\pi\)
\(240\) 77499.4 750836.i 0.0868501 0.841428i
\(241\) 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
\(246\) 230080. 519376.i 0.242405 0.547197i
\(247\) 424388. + 1.30613e6i 0.442609 + 1.36221i
\(248\) 158271. + 487109.i 0.163408 + 0.502917i
\(249\) −560609. + 1.26550e6i −0.573010 + 1.29349i
\(250\) 1.17717e6 + 1.62023e6i 1.19121 + 1.63956i
\(251\) 1.56786e6 + 509429.i 1.57081 + 0.510386i 0.959668 0.281136i \(-0.0907112\pi\)
0.611140 + 0.791522i \(0.290711\pi\)
\(252\) −12086.3 26875.8i −0.0119892 0.0266600i
\(253\) −523853. 563961.i −0.514527 0.553921i
\(254\) 587443.i 0.571323i
\(255\) 116642. 1.13006e6i 0.112332 1.08830i
\(256\) 821631. 596950.i 0.783568 0.569296i
\(257\) 737430. 1.01499e6i 0.696447 0.958577i −0.303537 0.952820i \(-0.598167\pi\)
0.999983 0.00575710i \(-0.00183255\pi\)
\(258\) 53777.5 + 92745.2i 0.0502981 + 0.0867445i
\(259\) −6102.87 + 1982.94i −0.00565308 + 0.00183680i
\(260\) 823283. + 598150.i 0.755293 + 0.548753i
\(261\) 656526. 1.14700e6i 0.596555 1.04223i
\(262\) 60531.1 186296.i 0.0544785 0.167668i
\(263\) −1.40795e6 −1.25516 −0.627580 0.778552i \(-0.715954\pi\)
−0.627580 + 0.778552i \(0.715954\pi\)
\(264\) 981920. 739805.i 0.867094 0.653292i
\(265\) −1.62821e6 −1.42428
\(266\) 23056.1 70959.3i 0.0199793 0.0614901i
\(267\) −945937. + 1.05452e6i −0.812053 + 0.905268i
\(268\) −317121. 230402.i −0.269704 0.195952i
\(269\) −1.65177e6 + 536693.i −1.39178 + 0.452215i −0.906522 0.422159i \(-0.861273\pi\)
−0.485253 + 0.874374i \(0.661273\pi\)
\(270\) 1.40277e6 + 1.00722e6i 1.17106 + 0.840845i
\(271\) 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
\(273\) −119252. 12308.9i −0.0968410 0.00999569i
\(274\) 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
\(279\) −619948. 129357.i −0.476810 0.0994902i
\(280\) −60919.5 187491.i −0.0464367 0.142917i
\(281\) −403067. 1.24051e6i −0.304517 0.937206i −0.979857 0.199700i \(-0.936003\pi\)
0.675340 0.737506i \(-0.263997\pi\)
\(282\) −648984. 287496.i −0.485972 0.215283i
\(283\) 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
\(288\) 110854. + 1.01813e6i 0.0787535 + 0.723307i
\(289\) 744957. 541243.i 0.524670 0.381195i
\(290\) 1.45740e6 2.00594e6i 1.01761 1.40063i
\(291\) 2.08180e6 1.20711e6i 1.44114 0.835632i
\(292\) 353715. 114929.i 0.242771 0.0788810i
\(293\) −1.78494e6 1.29684e6i −1.21466 0.882503i −0.219016 0.975721i \(-0.570285\pi\)
−0.995646 + 0.0932179i \(0.970285\pi\)
\(294\) −856995. 768750.i −0.578242 0.518701i
\(295\) 335714. 1.03322e6i 0.224603 0.691255i
\(296\) 129693. 0.0860375
\(297\) 190770. + 1.50815e6i 0.125493 + 0.992095i
\(298\) −23606.8 −0.0153991
\(299\) 468784. 1.44277e6i 0.303246 0.933294i
\(300\) −1.08800e6 975965.i −0.697950 0.626082i
\(301\) 12242.7 + 8894.86i 0.00778864 + 0.00565878i
\(302\) −196652. + 63896.0i −0.124074 + 0.0403140i
\(303\) 984162. 570658.i 0.615829 0.357083i
\(304\) −479042. + 659345.i −0.297297 + 0.409194i
\(305\) −1.34325e6 + 975932.i −0.826816 + 0.600717i
\(306\) −82109.8 754133.i −0.0501293 0.460410i
\(307\) 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 0.818031 0.575174i \(-0.195066\pi\)
−0.799809 + 0.600255i \(0.795066\pi\)
\(312\) 2.21537e6 + 981397.i 1.28843 + 0.570766i
\(313\) −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
\(315\) 238622. + 49790.4i 0.135498 + 0.0282728i
\(316\) −503104. 692463.i −0.283426 0.390103i
\(317\) 1.24649e6 + 405008.i 0.696690 + 0.226368i 0.635888 0.771781i \(-0.280634\pi\)
0.0608023 + 0.998150i \(0.480634\pi\)
\(318\) −1.06303e6 + 228029.i −0.589494 + 0.126451i
\(319\) 2.16686e6 261775.i 1.19221 0.144029i
\(320\) 3.47092e6i 1.89483i
\(321\) −608596. 62817.8i −0.329660 0.0340267i
\(322\) −66676.2 + 48443.1i −0.0358369 + 0.0260371i
\(323\) −720990. + 992358.i −0.384524 + 0.529251i
\(324\) −674986. 294505.i −0.357217 0.155858i
\(325\) −5.65513e6 + 1.83746e6i −2.96985 + 0.964962i
\(326\) 564530. + 410155.i 0.294200 + 0.213749i
\(327\) 1.01150e6 1.12761e6i 0.523115 0.583163i
\(328\) −500788. + 1.54127e6i −0.257021 + 0.791030i
\(329\) −100192. −0.0510323
\(330\) 49543.0 + 2.85157e6i 0.0250436 + 1.44145i
\(331\) 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
\(333\) −79663.1 + 139178.i −0.0393683 + 0.0687795i
\(334\) 1.91872e6 + 1.39403e6i 0.941121 + 0.683765i
\(335\) 3.08377e6 1.00198e6i 1.50131 0.487804i
\(336\) −35687.2 61546.5i −0.0172451 0.0297410i
\(337\) 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
\(339\) −40702.1 + 394333.i −0.0192361 + 0.186365i
\(340\) 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
\(345\) −1.24932e6 + 2.82018e6i −0.565103 + 1.27564i
\(346\) −716262. 2.20443e6i −0.321649 0.989933i
\(347\) 216100. + 665087.i 0.0963454 + 0.296521i 0.987602 0.156979i \(-0.0501754\pi\)
−0.891257 + 0.453499i \(0.850175\pi\)
\(348\) −428263. + 966745.i −0.189567 + 0.427921i
\(349\) 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 \(-0.779919\pi\)
0.770351 0.637621i \(-0.220081\pi\)
\(354\) 74480.9 721591.i 0.0315891 0.306044i
\(355\) 3.06943e6 2.23007e6i 1.29267 0.939177i
\(356\) 666181. 916919.i 0.278591 0.383447i
\(357\) −53711.7 92631.6i −0.0223048 0.0384670i
\(358\) −123378. + 40088.0i −0.0508781 + 0.0165313i
\(359\) −2.03225e6 1.47651e6i −0.832224 0.604646i 0.0879640 0.996124i \(-0.471964\pi\)
−0.920188 + 0.391478i \(0.871964\pi\)
\(360\) −4.27578e6 2.44739e6i −1.73884 0.995284i
\(361\) −166527. + 512517.i −0.0672538 + 0.206986i
\(362\) −1.67469e6 −0.671682
\(363\) −1.80946e6 + 1.74030e6i −0.720747 + 0.693198i
\(364\) 95915.1 0.0379432
\(365\) −950686. + 2.92591e6i −0.373512 + 1.14955i
\(366\) −740312. + 825292.i −0.288876 + 0.322037i
\(367\) −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
\(369\) −1.34638e6 1.48412e6i −0.514755 0.567419i
\(370\) −176841. + 243401.i −0.0671552 + 0.0924311i
\(371\) −124155. + 90203.9i −0.0468306 + 0.0340244i
\(372\) 503998. + 52021.4i 0.188830 + 0.0194906i
\(373\) 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
\(378\) 162766. 911.371i 0.0585913 0.000328069i
\(379\) −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
\(381\) 1.89464e6 + 839313.i 0.668673 + 0.296218i
\(382\) 53946.1 + 74250.5i 0.0189148 + 0.0260340i
\(383\) −1.91516e6 622274.i −0.667128 0.216763i −0.0441766 0.999024i \(-0.514066\pi\)
−0.622951 + 0.782261i \(0.714066\pi\)
\(384\) 45153.5 + 210498.i 0.0156266 + 0.0728484i
\(385\) 169422. + 365181.i 0.0582529 + 0.125562i
\(386\) 1.60222e6i 0.547337i
\(387\) 375959. 40934.4i 0.127604 0.0138935i
\(388\) −1.55759e6 + 1.13166e6i −0.525260 + 0.381624i
\(389\) 1.25417e6 1.72622e6i 0.420225 0.578390i −0.545450 0.838143i \(-0.683641\pi\)
0.965675 + 0.259753i \(0.0836412\pi\)
\(390\) −4.86257e6 + 2.81952e6i −1.61884 + 0.938672i
\(391\) 1.28863e6 418700.i 0.426270 0.138504i
\(392\) 2.65714e6 + 1.93052e6i 0.873371 + 0.634541i
\(393\) −514361. 461398.i −0.167991 0.150693i
\(394\) 63477.3 195363.i 0.0206005 0.0634019i
\(395\) 7.08022e6 2.28325
\(396\) −275705. 1.18456e6i −0.0883499 0.379592i
\(397\) −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
\(399\) −195918. 175745.i −0.0616088 0.0552649i
\(400\) −2.85476e6 2.07410e6i −0.892111 0.648157i
\(401\) 2.38869e6 776133.i 0.741821 0.241032i 0.0863629 0.996264i \(-0.472476\pi\)
0.655458 + 0.755231i \(0.272476\pi\)
\(402\) 1.87302e6 1.08605e6i 0.578066 0.335186i
\(403\) 1.21160e6 1.66762e6i 0.371618 0.511488i
\(404\) −736347. + 534987.i −0.224455 + 0.163076i
\(405\) 5.25274e6 3.08519e6i 1.59129 0.934639i
\(406\) 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
\(411\) −968246. 428927.i −0.282736 0.125250i
\(412\) −297527. 915695.i −0.0863543 0.265771i
\(413\) −31642.1 97384.4i −0.00912831 0.0280941i
\(414\) −420701. + 2.01622e6i −0.120635 + 0.578146i
\(415\) 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 \(0.0998835\pi\)
−0.951170 + 0.308669i \(0.900117\pi\)
\(420\) −193992. 20023.3i −0.0536611 0.00553877i
\(421\) −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
\(423\) −1.85448e6 + 1.68236e6i −0.503932 + 0.457160i
\(424\) 2.94986e6 958469.i 0.796870 0.258919i
\(425\) −4.29660e6 3.12166e6i −1.15386 0.838327i
\(426\) 1.69166e6 1.88585e6i 0.451637 0.503481i
\(427\) −48359.2 + 148834.i −0.0128354 + 0.0395033i
\(428\) 489497. 0.129164
\(429\) −4.73160e6 1.44701e6i −1.24126 0.379603i
\(430\) 709508. 0.185049
\(431\) −2.06957e6 + 6.36949e6i −0.536646 + 1.65163i 0.203421 + 0.979091i \(0.434794\pi\)
−0.740066 + 0.672534i \(0.765206\pi\)
\(432\) −1.69399e6 539943.i −0.436718 0.139200i
\(433\) −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
\(435\) −4.38733e6 7.56644e6i −1.11167 1.91720i
\(436\) −712354. + 980472.i −0.179465 + 0.247012i
\(437\) 2.69435e6 1.95756e6i 0.674917 0.490356i
\(438\) −210917. + 2.04343e6i −0.0525324 + 0.508948i
\(439\) 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 0.910134 0.414314i \(-0.135978\pi\)
−0.675283 + 0.737559i \(0.735978\pi\)
\(444\) 51965.5 117305.i 0.0125100 0.0282397i
\(445\) 2.89710e6 + 8.91636e6i 0.693527 + 2.13446i
\(446\) 561616. + 1.72848e6i 0.133691 + 0.411459i
\(447\) −33728.4 + 76137.2i −0.00798411 + 0.0180231i
\(448\) 192291. + 264666.i 0.0452651 + 0.0623021i
\(449\) −5.94324e6 1.93108e6i −1.39126 0.452047i −0.484904 0.874567i \(-0.661145\pi\)
−0.906353 + 0.422521i \(0.861145\pi\)
\(450\) 7.36280e6 3.31112e6i 1.71400 0.770803i
\(451\) 637771. 3.24727e6i 0.147647 0.751756i
\(452\) 317164.i 0.0730194i
\(453\) −74888.3 + 725538.i −0.0171462 + 0.166117i
\(454\) −3.57830e6 + 2.59979e6i −0.814775 + 0.591969i
\(455\) −466352. + 641878.i −0.105605 + 0.145353i
\(456\) 2.66829e6 + 4.60176e6i 0.600926 + 1.03636i
\(457\) −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
\(459\) −2.54956e6 812650.i −0.564852 0.180041i
\(460\) 762587. 2.34700e6i 0.168033 0.517153i
\(461\) −2.42434e6 −0.531302 −0.265651 0.964069i \(-0.585587\pi\)
−0.265651 + 0.964069i \(0.585587\pi\)
\(462\) 161756. + 214694.i 0.0352579 + 0.0467967i
\(463\) −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
\(465\) −2.79864e6 + 3.11989e6i −0.600225 + 0.669125i
\(466\) 740674. + 538131.i 0.158002 + 0.114795i
\(467\) −5.57983e6 + 1.81300e6i −1.18394 + 0.384684i −0.833828 0.552024i \(-0.813856\pi\)
−0.350109 + 0.936709i \(0.613856\pi\)
\(468\) 1.77531e6 1.61054e6i 0.374680 0.339904i
\(469\) 179635. 247246.i 0.0377101 0.0519035i
\(470\) −3.80040e6 + 2.76115e6i −0.793569 + 0.576562i
\(471\) −82053.9 8469.41i −0.0170430 0.00175914i
\(472\) 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
\(477\) −783370. + 3.75432e6i −0.157642 + 0.755502i
\(478\) −291248. 896369.i −0.0583033 0.179439i
\(479\) 2.41696e6 + 7.43862e6i 0.481315 + 1.48134i 0.837247 + 0.546825i \(0.184164\pi\)
−0.355932 + 0.934512i \(0.615836\pi\)
\(480\) 6.19699e6 + 2.74523e6i 1.22766 + 0.543846i
\(481\) −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
\(486\) 2.99736e6 2.74991e6i 0.575636 0.528115i
\(487\) 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
\(489\) 2.12942e6 1.23473e6i 0.402707 0.233506i
\(490\) −7.24620e6 + 2.35443e6i −1.36339 + 0.442992i
\(491\) 615959. + 447521.i 0.115305 + 0.0837740i 0.643943 0.765073i \(-0.277297\pi\)
−0.528638 + 0.848847i \(0.677297\pi\)
\(492\) 1.19339e6 + 1.07051e6i 0.222265 + 0.199378i
\(493\) −1.18726e6 + 3.65401e6i −0.220003 + 0.677099i
\(494\) 6.06895e6 1.11891
\(495\) 9.26773e6 + 3.91441e6i 1.70004 + 0.718047i
\(496\) 1.22325e6 0.223260
\(497\) 110504. 340096.i 0.0200672 0.0617605i
\(498\) 4.55310e6 + 4.08427e6i 0.822685 + 0.737974i
\(499\) 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
\(501\) 7.23745e6 4.19658e6i 1.28822 0.746966i
\(502\) 4.28206e6 5.89375e6i 0.758392 1.04384i
\(503\) 5.09335e6 3.70054e6i 0.897602 0.652146i −0.0402470 0.999190i \(-0.512814\pi\)
0.937849 + 0.347044i \(0.112814\pi\)
\(504\) −461626. + 50261.7i −0.0809494 + 0.00881375i
\(505\) 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 0.987399 0.158253i \(-0.0505863\pi\)
−0.455631 + 0.890169i \(0.650586\pi\)
\(510\) −4.59013e6 2.03340e6i −0.781447 0.346176i
\(511\) 89605.2 + 275776.i 0.0151803 + 0.0467202i
\(512\) −1.52343e6 4.68864e6i −0.256832 0.790446i
\(513\) −6.57727e6 + 36828.0i −1.10345 + 0.00617853i
\(514\) −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
\(519\) −8.13315e6 839484.i −1.32538 0.136802i
\(520\) 1.29730e7 9.42547e6i 2.10394 1.52860i
\(521\) −7.18594e6 + 9.89060e6i −1.15982 + 1.59635i −0.447907 + 0.894080i \(0.647830\pi\)
−0.711910 + 0.702271i \(0.752170\pi\)
\(522\) −3.92410e6 4.32557e6i −0.630323 0.694812i
\(523\) 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
\(525\) 760919. 848264.i 0.120487 0.134318i
\(526\) −1.92266e6 + 5.91735e6i −0.302998 + 0.932531i
\(527\) 1.84107e6 0.288765
\(528\) −955733. 2.77638e6i −0.149194 0.433405i
\(529\) 2.75754e6 0.428433
\(530\) −2.22344e6 + 6.84305e6i −0.343824 + 1.05818i
\(531\) −2.22088e6 1.27120e6i −0.341813 0.195648i
\(532\) 170353. + 123769.i 0.0260959 + 0.0189597i
\(533\) 6.20296e6 2.01546e6i 0.945760 0.307296i
\(534\) 3.14020e6 + 5.41562e6i 0.476545 + 0.821854i
\(535\) −2.38000e6 + 3.27579e6i −0.359495 + 0.494802i
\(536\) −4.99710e6 + 3.63061e6i −0.751287 + 0.545842i
\(537\) −46984.5 + 455199.i −0.00703103 + 0.0681186i
\(538\) 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
\(543\) −2.39273e6 + 5.40127e6i −0.348252 + 0.786133i
\(544\) −920040. 2.83159e6i −0.133294 0.410235i
\(545\) −3.09790e6 9.53436e6i −0.446762 1.37499i
\(546\) −214580. + 484385.i −0.0308040 + 0.0695358i
\(547\) −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
\(552\) 603288. 5.84482e6i 0.0842708 0.816438i
\(553\) 539884. 392249.i 0.0750737 0.0545442i
\(554\) 6.61635e6 9.10663e6i 0.915892 1.26062i
\(555\) 532361. + 918114.i 0.0733624 + 0.126521i
\(556\) −2.33428e6 + 758453.i −0.320233 + 0.104050i
\(557\) 1.33891e6 + 972776.i 0.182858 + 0.132854i 0.675449 0.737407i \(-0.263950\pi\)
−0.492591 + 0.870261i \(0.663950\pi\)
\(558\) −1.39025e6 + 2.42888e6i −0.189020 + 0.330232i
\(559\) −380376. + 1.17068e6i −0.0514853 + 0.158456i
\(560\) −470836. −0.0634453
\(561\) −1.43844e6 4.17864e6i −0.192968 0.560567i
\(562\) −5.76405e6 −0.769816
\(563\) 3.94370e6 1.21375e7i 0.524364 1.61383i −0.241207 0.970474i \(-0.577543\pi\)
0.765571 0.643352i \(-0.222457\pi\)
\(564\) 1.33765e6 1.49120e6i 0.177070 0.197396i
\(565\) 2.12251e6 + 1.54209e6i 0.279723 + 0.203231i
\(566\) 1.82080e6 591613.i 0.238902 0.0776241i
\(567\) 229613. 526258.i 0.0299943 0.0687450i
\(568\) −4.24819e6 + 5.84713e6i −0.552500 + 0.760452i
\(569\) −766315. + 556760.i −0.0992263 + 0.0720921i −0.636292 0.771448i \(-0.719533\pi\)
0.537066 + 0.843540i \(0.319533\pi\)
\(570\) −1.22746e7 1.26696e6i −1.58242 0.163334i
\(571\) 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
\(576\) 8.00323e6 + 1.66994e6i 1.00510 + 0.209722i
\(577\) −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
\(579\) −5.16754e6 2.28919e6i −0.640601 0.283782i
\(580\) 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
\(585\) 2.14616e6 + 1.97113e7i 0.259282 + 2.38136i
\(586\) −7.88783e6 + 5.73084e6i −0.948885 + 0.689405i
\(587\) −3.23077e6 + 4.44677e6i −0.387000 + 0.532660i −0.957422 0.288692i \(-0.906780\pi\)
0.570422 + 0.821352i \(0.306780\pi\)
\(588\) 2.81079e6 1.62981e6i 0.335262 0.194399i
\(589\) 4.30381e6 1.39839e6i 0.511169 0.166089i
\(590\) −3.88399e6 2.82188e6i −0.459354 0.333741i
\(591\) −539397. 483855.i −0.0635243 0.0569832i
\(592\) 95718.4 294591.i 0.0112251 0.0345474i
\(593\) 1.18200e7 1.38032 0.690161 0.723656i \(-0.257540\pi\)
0.690161 + 0.723656i \(0.257540\pi\)
\(594\) 6.59897e6 + 1.25772e6i 0.767379 + 0.146257i
\(595\) −708640. −0.0820603
\(596\) 20587.8 63362.6i 0.00237407 0.00730664i
\(597\) −4.40082e6 3.94767e6i −0.505356 0.453320i
\(598\) −5.42352e6 3.94042e6i −0.620195 0.450598i
\(599\) 1.28770e6 418398.i 0.146638 0.0476456i −0.234778 0.972049i \(-0.575436\pi\)
0.381416 + 0.924403i \(0.375436\pi\)
\(600\) −1.99242e7 + 1.15529e7i −2.25945 + 1.31012i
\(601\) −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
\(603\) −826683. 7.59262e6i −0.0925860 0.850351i
\(604\) 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
\(609\) −753730. 333898.i −0.0823517 0.0364813i
\(610\) 2.26734e6 + 6.97815e6i 0.246713 + 0.759304i
\(611\) −2.51842e6 7.75089e6i −0.272913 0.839940i
\(612\) 2.09577e6 + 437299.i 0.226185 + 0.0471954i
\(613\) 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 \(0.0147092\pi\)
−0.998932 + 0.0461939i \(0.985291\pi\)
\(618\) 5.29001e6 + 546022.i 0.557167 + 0.0575094i
\(619\) −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
\(621\) 5.90169e6 + 4.23755e6i 0.614112 + 0.440946i
\(622\) 222241. 72210.3i 0.0230328 0.00748382i
\(623\) 714882. + 519392.i 0.0737929 + 0.0536137i
\(624\) 3.86422e6 4.30779e6i 0.397283 0.442887i
\(625\) 7.18783e6 2.21219e7i 0.736034 2.26528i
\(626\) −5.23214e6 −0.533634
\(627\) −6.53648e6 8.67567e6i −0.664011 0.881321i
\(628\) 65996.5 0.00667762
\(629\) 144063. 443379.i 0.0145186 0.0446836i
\(630\) 535115. 934888.i 0.0537150 0.0938444i
\(631\) 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
\(633\) 9.91654e6 + 1.71022e7i 0.983673 + 1.69645i
\(634\) 3.40434e6 4.68568e6i 0.336364 0.462966i
\(635\) 1.10948e7 8.06088e6i 1.09191 0.793319i
\(636\) 315035. 3.05214e6i 0.0308827 0.299200i
\(637\) 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 \(-0.957557\pi\)
0.179836 0.983697i \(-0.442443\pi\)
\(642\) −1.09509e6 + 2.47203e6i −0.104861 + 0.236710i
\(643\) −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
\(645\) 1.01371e6 2.28832e6i 0.0959437 0.216580i
\(646\) 3.18612e6 + 4.38532e6i 0.300387 + 0.413447i
\(647\) −4.04543e6 1.31444e6i −0.379931 0.123447i 0.112825 0.993615i \(-0.464010\pi\)
−0.492755 + 0.870168i \(0.664010\pi\)
\(648\) −7.70037e6 + 8.68160e6i −0.720400 + 0.812198i
\(649\) −506860. 4.19558e6i −0.0472364 0.391003i
\(650\) 2.62766e7i 2.43942i
\(651\) −40558.9 + 392945.i −0.00375088 + 0.0363396i
\(652\) −1.59323e6 + 1.15755e6i −0.146777 + 0.106640i
\(653\) 5.74254e6 7.90393e6i 0.527013 0.725371i −0.459659 0.888096i \(-0.652028\pi\)
0.986672 + 0.162725i \(0.0520282\pi\)
\(654\) −3.35785e6 5.79098e6i −0.306985 0.529429i
\(655\) −4.34911e6 + 1.41311e6i −0.396093 + 0.128698i
\(656\) 3.13130e6 + 2.27502e6i 0.284096 + 0.206408i
\(657\) 6.28916e6 + 3.59981e6i 0.568433 + 0.325362i
\(658\) −136820. + 421089.i −0.0123193 + 0.0379149i
\(659\) −1.28985e7 −1.15698 −0.578489 0.815691i \(-0.696357\pi\)
−0.578489 + 0.815691i \(0.696357\pi\)
\(660\) −7.69705e6 2.35391e6i −0.687804 0.210344i
\(661\) 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
\(663\) 5.81590e6 6.48351e6i 0.513846 0.572831i
\(664\) −1.41170e7 1.02566e7i −1.24257 0.902784i
\(665\) −1.65656e6 + 538249.i −0.145262 + 0.0471986i
\(666\) 476151. + 524866.i 0.0415967 + 0.0458525i
\(667\) 6.13151e6 8.43930e6i 0.533646 0.734500i
\(668\) −5.41504e6 + 3.93426e6i −0.469527 + 0.341131i
\(669\) 6.37714e6 + 658233.i 0.550885 + 0.0568610i
\(670\) 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
\(675\) −159454. 2.84775e7i −0.0134702 2.40571i
\(676\) 979961. + 3.01601e6i 0.0824788 + 0.253844i
\(677\) 4.33081e6 + 1.33288e7i 0.363159 + 1.11769i 0.951126 + 0.308804i \(0.0999287\pi\)
−0.587967 + 0.808885i \(0.700071\pi\)
\(678\) 1.60172e6 + 709554.i 0.133818 + 0.0592804i
\(679\) −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 \(0.100079\pi\)
−0.950980 + 0.309253i \(0.899921\pi\)
\(684\) 5.23134e6 569588.i 0.427536 0.0465501i
\(685\) −5.66997e6 + 4.11948e6i −0.461694 + 0.335441i
\(686\) −846594. + 1.16524e6i −0.0686855 + 0.0945375i
\(687\) 1.93685e7 1.12307e7i 1.56569 0.907850i
\(688\) −694723. + 225729.i −0.0559552 + 0.0181810i
\(689\) −1.00989e7 7.33729e6i −0.810450 0.588827i
\(690\) 1.01466e7 + 9.10184e6i 0.811333 + 0.727791i
\(691\) −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
\(693\) 923547. 214955.i 0.0730510 0.0170026i
\(694\) 3.09033e6 0.243560
\(695\) 6.27388e6 1.93090e7i 0.492691 1.51635i
\(696\) 1.24027e7 + 1.11256e7i 0.970496 + 0.870564i
\(697\) 4.71282e6 + 3.42406e6i 0.367450 + 0.266968i
\(698\) 1.09492e7 3.55762e6i 0.850638 0.276389i
\(699\) 2.79384e6 1.61998e6i 0.216276 0.125406i
\(700\) −535880. + 737576.i −0.0413355 + 0.0568934i
\(701\) −1.25863e7 + 9.14445e6i −0.967389 + 0.702850i −0.954855 0.297072i \(-0.903990\pi\)
−0.0125343 + 0.999921i \(0.503990\pi\)
\(702\) 4.16175e6 + 1.25686e7i 0.318737 + 0.962599i
\(703\) 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
\(708\) 1.87186e6 + 829222.i 0.140343 + 0.0621710i
\(709\) 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
\(711\) 3.40646e6 1.63256e7i 0.252714 1.21114i
\(712\) −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
\(717\) −3.30711e6 341352.i −0.240243 0.0247973i
\(718\) −8.98068e6 + 6.52485e6i −0.650127 + 0.472345i
\(719\) −7.97910e6 + 1.09823e7i −0.575614 + 0.792265i −0.993206 0.116370i \(-0.962874\pi\)
0.417592 + 0.908635i \(0.362874\pi\)
\(720\) −8.71480e6 + 7.90595e6i −0.626508 + 0.568359i
\(721\) 713928. 231969.i 0.0511466 0.0166185i
\(722\) 1.92661e6 + 1.39976e6i 0.137547 + 0.0999335i
\(723\) −1.28472e7 + 1.43220e7i −0.914037 + 1.01896i
\(724\) 1.46052e6 4.49502e6i 0.103553 0.318702i
\(725\) −4.08879e7 −2.88902
\(726\) 4.84318e6 + 9.98133e6i 0.341027 + 0.702824i
\(727\) −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
\(729\) −4.58660e6 1.35961e7i −0.319648 0.947536i
\(730\) 1.09988e7 + 7.99110e6i 0.763903 + 0.555008i
\(731\) −1.04560e6 + 339738.i −0.0723726 + 0.0235153i
\(732\) −1.56952e6 2.70681e6i −0.108265 0.186715i
\(733\) 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
\(735\) −2.75948e6 + 2.67346e7i −0.188412 + 1.82539i
\(736\) 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
\(741\) 8.67105e6 1.95737e7i 0.580131 1.30957i
\(742\) 209566. + 644979.i 0.0139737 + 0.0430067i
\(743\) 1.73208e6 + 5.33080e6i 0.115106 + 0.354258i 0.991969 0.126481i \(-0.0403683\pi\)
−0.876863 + 0.480739i \(0.840368\pi\)
\(744\) 3.23378e6 7.29983e6i 0.214180 0.483482i
\(745\) 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
\(750\) 3.20535e6 3.10543e7i 0.208076 2.01590i
\(751\) 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
\(753\) −1.28907e7 2.22314e7i −0.828491 1.42882i
\(754\) 1.80789e7 5.87419e6i 1.15809 0.376288i
\(755\) 3.90523e6 + 2.83732e6i 0.249333 + 0.181151i
\(756\) −139504. + 437671.i −0.00887730 + 0.0278512i
\(757\) −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
\(759\) 208435. + 1.19970e7i 0.0131331 + 0.755906i
\(760\) 3.52038e7 2.21083
\(761\) 4.28628e6 1.31918e7i 0.268299 0.825739i −0.722616 0.691250i \(-0.757061\pi\)
0.990915 0.134490i \(-0.0429395\pi\)
\(762\) 6.11474e6 6.81665e6i 0.381496 0.425288i
\(763\) −764432. 555392.i −0.0475365 0.0345373i
\(764\) −246342. + 80041.3i −0.0152688 + 0.00496113i
\(765\) −1.31164e7 + 1.18990e7i −0.810326 + 0.735116i
\(766\) −5.23060e6 + 7.19930e6i −0.322092 + 0.443321i
\(767\) 6.73831e6 4.89567e6i 0.413583 0.300486i
\(768\) −1.57478e7 1.62545e6i −0.963425 0.0994424i