Properties

Label 21.6.e.c.4.3
Level $21$
Weight $6$
Character 21.4
Analytic conductor $3.368$
Analytic rank $0$
Dimension $8$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 21 = 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 21.e (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.36806021607\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(4\) over \(\Q(\zeta_{3})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{8} - \cdots)\)
Defining polynomial: \(x^{8} - x^{7} + 98 x^{6} + 83 x^{5} + 9122 x^{4} - 91 x^{3} + 28567 x^{2} + 2058 x + 86436\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 3\cdot 7^{2} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 4.3
Root \(0.895402 + 1.55088i\) of defining polynomial
Character \(\chi\) \(=\) 21.4
Dual form 21.6.e.c.16.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.395402 + 0.684857i) q^{2} +(-4.50000 + 7.79423i) q^{3} +(15.6873 - 27.1712i) q^{4} +(52.0958 + 90.2327i) q^{5} -7.11724 q^{6} +(-7.12980 + 129.446i) q^{7} +50.1170 q^{8} +(-40.5000 - 70.1481i) q^{9} +O(q^{10})\) \(q+(0.395402 + 0.684857i) q^{2} +(-4.50000 + 7.79423i) q^{3} +(15.6873 - 27.1712i) q^{4} +(52.0958 + 90.2327i) q^{5} -7.11724 q^{6} +(-7.12980 + 129.446i) q^{7} +50.1170 q^{8} +(-40.5000 - 70.1481i) q^{9} +(-41.1977 + 71.3564i) q^{10} +(248.830 - 430.986i) q^{11} +(141.186 + 244.541i) q^{12} -206.551 q^{13} +(-91.4709 + 46.3002i) q^{14} -937.725 q^{15} +(-482.178 - 835.156i) q^{16} +(-31.5793 + 54.6969i) q^{17} +(32.0276 - 55.4734i) q^{18} +(-661.977 - 1146.58i) q^{19} +3268.98 q^{20} +(-976.845 - 638.077i) q^{21} +393.552 q^{22} +(97.2187 + 168.388i) q^{23} +(-225.526 + 390.623i) q^{24} +(-3865.45 + 6695.16i) q^{25} +(-81.6709 - 141.458i) q^{26} +729.000 q^{27} +(3405.35 + 2224.38i) q^{28} +4323.14 q^{29} +(-370.779 - 642.208i) q^{30} +(3762.66 - 6517.11i) q^{31} +(1183.18 - 2049.33i) q^{32} +(2239.47 + 3878.87i) q^{33} -49.9461 q^{34} +(-12051.7 + 6100.24i) q^{35} -2541.34 q^{36} +(-5177.82 - 8968.25i) q^{37} +(523.495 - 906.720i) q^{38} +(929.481 - 1609.91i) q^{39} +(2610.89 + 4522.19i) q^{40} -4180.92 q^{41} +(50.7445 - 921.296i) q^{42} +5960.87 q^{43} +(-7806.94 - 13522.0i) q^{44} +(4219.76 - 7308.85i) q^{45} +(-76.8810 + 133.162i) q^{46} +(2194.87 + 3801.62i) q^{47} +8679.20 q^{48} +(-16705.3 - 1845.84i) q^{49} -6113.64 q^{50} +(-284.214 - 492.273i) q^{51} +(-3240.24 + 5612.25i) q^{52} +(-8892.39 + 15402.1i) q^{53} +(288.248 + 499.261i) q^{54} +51852.0 q^{55} +(-357.324 + 6487.42i) q^{56} +11915.6 q^{57} +(1709.38 + 2960.73i) q^{58} +(-1750.23 + 3031.49i) q^{59} +(-14710.4 + 25479.1i) q^{60} +(5316.23 + 9207.98i) q^{61} +5951.06 q^{62} +(9369.11 - 4742.41i) q^{63} -28988.0 q^{64} +(-10760.5 - 18637.7i) q^{65} +(-1770.98 + 3067.43i) q^{66} +(6637.37 - 11496.3i) q^{67} +(990.789 + 1716.10i) q^{68} -1749.94 q^{69} +(-8943.05 - 5841.61i) q^{70} +38811.1 q^{71} +(-2029.74 - 3515.61i) q^{72} +(-15687.8 + 27172.1i) q^{73} +(4094.65 - 7092.14i) q^{74} +(-34789.1 - 60256.5i) q^{75} -41538.6 q^{76} +(54015.1 + 35282.8i) q^{77} +1470.08 q^{78} +(-19745.7 - 34200.6i) q^{79} +(50238.9 - 87016.3i) q^{80} +(-3280.50 + 5681.99i) q^{81} +(-1653.14 - 2863.33i) q^{82} -102372. q^{83} +(-32661.4 + 16532.4i) q^{84} -6580.60 q^{85} +(2356.94 + 4082.34i) q^{86} +(-19454.1 + 33695.5i) q^{87} +(12470.6 - 21599.7i) q^{88} +(56410.5 + 97705.8i) q^{89} +6674.02 q^{90} +(1472.67 - 26737.2i) q^{91} +6100.40 q^{92} +(33863.9 + 58654.0i) q^{93} +(-1735.71 + 3006.34i) q^{94} +(68972.6 - 119464. i) q^{95} +(10648.6 + 18444.0i) q^{96} +30334.3 q^{97} +(-5341.19 - 12170.6i) q^{98} -40310.4 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8q - 3q^{2} - 36q^{3} - 69q^{4} + 54q^{6} + 258q^{7} + 246q^{8} - 324q^{9} + O(q^{10}) \) \( 8q - 3q^{2} - 36q^{3} - 69q^{4} + 54q^{6} + 258q^{7} + 246q^{8} - 324q^{9} - 283q^{10} - 402q^{11} - 621q^{12} + 924q^{13} + 1926q^{14} - 3273q^{16} - 276q^{17} - 243q^{18} - 510q^{19} + 9438q^{20} - 3564q^{21} + 2750q^{22} - 6900q^{23} - 1107q^{24} - 2814q^{25} + 15138q^{26} + 5832q^{27} - 26221q^{28} + 1080q^{29} - 2547q^{30} + 6410q^{31} - 15519q^{32} - 3618q^{33} + 42288q^{34} - 33108q^{35} + 11178q^{36} - 15250q^{37} + 41250q^{38} - 4158q^{39} + 8547q^{40} + 8616q^{41} - 16281q^{42} + 58396q^{43} - 70743q^{44} - 61800q^{46} + 15060q^{47} + 58914q^{48} - 64252q^{49} - 14604q^{50} - 2484q^{51} + 47476q^{52} - 13692q^{53} - 2187q^{54} + 146248q^{55} - 15921q^{56} + 9180q^{57} - 52309q^{58} - 34830q^{59} - 42471q^{60} + 5364q^{61} + 32058q^{62} + 11178q^{63} - 146974q^{64} - 66864q^{65} - 12375q^{66} + 5994q^{67} + 58272q^{68} + 124200q^{69} - 4307q^{70} + 178536q^{71} - 9963q^{72} - 59638q^{73} + 185442q^{74} - 25326q^{75} + 42616q^{76} - 75660q^{77} - 272484q^{78} + 44062q^{79} + 33381q^{80} - 26244q^{81} - 57596q^{82} - 416892q^{83} + 63036q^{84} + 72648q^{85} + 136968q^{86} - 4860q^{87} - 87597q^{88} + 77520q^{89} + 45846q^{90} + 104722q^{91} + 316512q^{92} + 57690q^{93} + 73722q^{94} + 221376q^{95} - 139671q^{96} - 377260q^{97} + 382479q^{98} + 65124q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).

\(n\) \(8\) \(10\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.395402 + 0.684857i 0.0698979 + 0.121067i 0.898856 0.438244i \(-0.144399\pi\)
−0.828958 + 0.559310i \(0.811066\pi\)
\(3\) −4.50000 + 7.79423i −0.288675 + 0.500000i
\(4\) 15.6873 27.1712i 0.490229 0.849101i
\(5\) 52.0958 + 90.2327i 0.931919 + 1.61413i 0.780038 + 0.625732i \(0.215200\pi\)
0.151881 + 0.988399i \(0.451467\pi\)
\(6\) −7.11724 −0.0807112
\(7\) −7.12980 + 129.446i −0.0549961 + 0.998487i
\(8\) 50.1170 0.276860
\(9\) −40.5000 70.1481i −0.166667 0.288675i
\(10\) −41.1977 + 71.3564i −0.130278 + 0.225649i
\(11\) 248.830 430.986i 0.620041 1.07394i −0.369436 0.929256i \(-0.620449\pi\)
0.989477 0.144687i \(-0.0462176\pi\)
\(12\) 141.186 + 244.541i 0.283034 + 0.490229i
\(13\) −206.551 −0.338977 −0.169488 0.985532i \(-0.554211\pi\)
−0.169488 + 0.985532i \(0.554211\pi\)
\(14\) −91.4709 + 46.3002i −0.124728 + 0.0631340i
\(15\) −937.725 −1.07609
\(16\) −482.178 835.156i −0.470877 0.815582i
\(17\) −31.5793 + 54.6969i −0.0265021 + 0.0459030i −0.878972 0.476873i \(-0.841770\pi\)
0.852470 + 0.522776i \(0.175104\pi\)
\(18\) 32.0276 55.4734i 0.0232993 0.0403556i
\(19\) −661.977 1146.58i −0.420687 0.728651i 0.575320 0.817929i \(-0.304878\pi\)
−0.996007 + 0.0892772i \(0.971544\pi\)
\(20\) 3268.98 1.82741
\(21\) −976.845 638.077i −0.483367 0.315736i
\(22\) 393.552 0.173358
\(23\) 97.2187 + 168.388i 0.0383204 + 0.0663729i 0.884550 0.466446i \(-0.154466\pi\)
−0.846229 + 0.532819i \(0.821133\pi\)
\(24\) −225.526 + 390.623i −0.0799225 + 0.138430i
\(25\) −3865.45 + 6695.16i −1.23695 + 2.14245i
\(26\) −81.6709 141.458i −0.0236938 0.0410388i
\(27\) 729.000 0.192450
\(28\) 3405.35 + 2224.38i 0.820855 + 0.536184i
\(29\) 4323.14 0.954562 0.477281 0.878751i \(-0.341622\pi\)
0.477281 + 0.878751i \(0.341622\pi\)
\(30\) −370.779 642.208i −0.0752163 0.130278i
\(31\) 3762.66 6517.11i 0.703219 1.21801i −0.264112 0.964492i \(-0.585079\pi\)
0.967331 0.253518i \(-0.0815879\pi\)
\(32\) 1183.18 2049.33i 0.204256 0.353783i
\(33\) 2239.47 + 3878.87i 0.357981 + 0.620041i
\(34\) −49.9461 −0.00740977
\(35\) −12051.7 + 6100.24i −1.66294 + 0.841738i
\(36\) −2541.34 −0.326819
\(37\) −5177.82 8968.25i −0.621789 1.07697i −0.989152 0.146892i \(-0.953073\pi\)
0.367364 0.930077i \(-0.380260\pi\)
\(38\) 523.495 906.720i 0.0588103 0.101862i
\(39\) 929.481 1609.91i 0.0978541 0.169488i
\(40\) 2610.89 + 4522.19i 0.258011 + 0.446888i
\(41\) −4180.92 −0.388429 −0.194215 0.980959i \(-0.562216\pi\)
−0.194215 + 0.980959i \(0.562216\pi\)
\(42\) 50.7445 921.296i 0.00443880 0.0805890i
\(43\) 5960.87 0.491630 0.245815 0.969317i \(-0.420944\pi\)
0.245815 + 0.969317i \(0.420944\pi\)
\(44\) −7806.94 13522.0i −0.607924 1.05296i
\(45\) 4219.76 7308.85i 0.310640 0.538044i
\(46\) −76.8810 + 133.162i −0.00535703 + 0.00927866i
\(47\) 2194.87 + 3801.62i 0.144932 + 0.251029i 0.929348 0.369206i \(-0.120370\pi\)
−0.784416 + 0.620236i \(0.787037\pi\)
\(48\) 8679.20 0.543721
\(49\) −16705.3 1845.84i −0.993951 0.109826i
\(50\) −6113.64 −0.345840
\(51\) −284.214 492.273i −0.0153010 0.0265021i
\(52\) −3240.24 + 5612.25i −0.166176 + 0.287825i
\(53\) −8892.39 + 15402.1i −0.434839 + 0.753164i −0.997283 0.0736720i \(-0.976528\pi\)
0.562443 + 0.826836i \(0.309862\pi\)
\(54\) 288.248 + 499.261i 0.0134519 + 0.0232993i
\(55\) 51852.0 2.31131
\(56\) −357.324 + 6487.42i −0.0152262 + 0.276441i
\(57\) 11915.6 0.485768
\(58\) 1709.38 + 2960.73i 0.0667219 + 0.115566i
\(59\) −1750.23 + 3031.49i −0.0654585 + 0.113377i −0.896897 0.442239i \(-0.854184\pi\)
0.831439 + 0.555616i \(0.187518\pi\)
\(60\) −14710.4 + 25479.1i −0.527529 + 0.913706i
\(61\) 5316.23 + 9207.98i 0.182928 + 0.316840i 0.942876 0.333143i \(-0.108109\pi\)
−0.759949 + 0.649983i \(0.774776\pi\)
\(62\) 5951.06 0.196614
\(63\) 9369.11 4742.41i 0.297404 0.150538i
\(64\) −28988.0 −0.884645
\(65\) −10760.5 18637.7i −0.315899 0.547153i
\(66\) −1770.98 + 3067.43i −0.0500443 + 0.0866792i
\(67\) 6637.37 11496.3i 0.180638 0.312874i −0.761460 0.648212i \(-0.775517\pi\)
0.942098 + 0.335338i \(0.108850\pi\)
\(68\) 990.789 + 1716.10i 0.0259842 + 0.0450059i
\(69\) −1749.94 −0.0442486
\(70\) −8943.05 5841.61i −0.218143 0.142491i
\(71\) 38811.1 0.913713 0.456857 0.889540i \(-0.348975\pi\)
0.456857 + 0.889540i \(0.348975\pi\)
\(72\) −2029.74 3515.61i −0.0461433 0.0799225i
\(73\) −15687.8 + 27172.1i −0.344552 + 0.596782i −0.985272 0.170992i \(-0.945303\pi\)
0.640720 + 0.767775i \(0.278636\pi\)
\(74\) 4094.65 7092.14i 0.0869235 0.150556i
\(75\) −34789.1 60256.5i −0.714151 1.23695i
\(76\) −41538.6 −0.824931
\(77\) 54015.1 + 35282.8i 1.03822 + 0.678166i
\(78\) 1470.08 0.0273592
\(79\) −19745.7 34200.6i −0.355964 0.616547i 0.631319 0.775523i \(-0.282514\pi\)
−0.987282 + 0.158976i \(0.949181\pi\)
\(80\) 50238.9 87016.3i 0.877638 1.52011i
\(81\) −3280.50 + 5681.99i −0.0555556 + 0.0962250i
\(82\) −1653.14 2863.33i −0.0271504 0.0470259i
\(83\) −102372. −1.63112 −0.815559 0.578675i \(-0.803570\pi\)
−0.815559 + 0.578675i \(0.803570\pi\)
\(84\) −32661.4 + 16532.4i −0.505052 + 0.255645i
\(85\) −6580.60 −0.0987912
\(86\) 2356.94 + 4082.34i 0.0343639 + 0.0595201i
\(87\) −19454.1 + 33695.5i −0.275558 + 0.477281i
\(88\) 12470.6 21599.7i 0.171665 0.297332i
\(89\) 56410.5 + 97705.8i 0.754892 + 1.30751i 0.945428 + 0.325831i \(0.105644\pi\)
−0.190536 + 0.981680i \(0.561023\pi\)
\(90\) 6674.02 0.0868523
\(91\) 1472.67 26737.2i 0.0186424 0.338464i
\(92\) 6100.40 0.0751430
\(93\) 33863.9 + 58654.0i 0.406004 + 0.703219i
\(94\) −1735.71 + 3006.34i −0.0202609 + 0.0350929i
\(95\) 68972.6 119464.i 0.784092 1.35809i
\(96\) 10648.6 + 18444.0i 0.117928 + 0.204256i
\(97\) 30334.3 0.327345 0.163672 0.986515i \(-0.447666\pi\)
0.163672 + 0.986515i \(0.447666\pi\)
\(98\) −5341.19 12170.6i −0.0561789 0.128011i
\(99\) −40310.4 −0.413361
\(100\) 121277. + 210058.i 1.21277 + 2.10058i
\(101\) −53398.2 + 92488.4i −0.520862 + 0.902160i 0.478843 + 0.877900i \(0.341056\pi\)
−0.999706 + 0.0242599i \(0.992277\pi\)
\(102\) 224.758 389.292i 0.00213902 0.00370488i
\(103\) −78767.8 136430.i −0.731570 1.26712i −0.956212 0.292674i \(-0.905455\pi\)
0.224643 0.974441i \(-0.427879\pi\)
\(104\) −10351.7 −0.0938490
\(105\) 6685.79 121384.i 0.0591806 1.07446i
\(106\) −14064.3 −0.121578
\(107\) 44662.2 + 77357.1i 0.377121 + 0.653192i 0.990642 0.136486i \(-0.0435809\pi\)
−0.613521 + 0.789678i \(0.710248\pi\)
\(108\) 11436.1 19807.8i 0.0943445 0.163410i
\(109\) −83802.3 + 145150.i −0.675600 + 1.17017i 0.300693 + 0.953721i \(0.402782\pi\)
−0.976293 + 0.216452i \(0.930551\pi\)
\(110\) 20502.4 + 35511.2i 0.161556 + 0.279823i
\(111\) 93200.8 0.717980
\(112\) 111545. 56461.3i 0.840244 0.425310i
\(113\) −115794. −0.853079 −0.426539 0.904469i \(-0.640267\pi\)
−0.426539 + 0.904469i \(0.640267\pi\)
\(114\) 4711.46 + 8160.48i 0.0339542 + 0.0588103i
\(115\) −10129.4 + 17544.6i −0.0714230 + 0.123708i
\(116\) 67818.4 117465.i 0.467954 0.810519i
\(117\) 8365.33 + 14489.2i 0.0564961 + 0.0978541i
\(118\) −2768.19 −0.0183017
\(119\) −6855.13 4477.78i −0.0443760 0.0289865i
\(120\) −46995.9 −0.297925
\(121\) −43307.1 75010.0i −0.268903 0.465753i
\(122\) −4204.10 + 7281.72i −0.0255725 + 0.0442929i
\(123\) 18814.1 32587.0i 0.112130 0.194215i
\(124\) −118052. 204472.i −0.689476 1.19421i
\(125\) −479898. −2.74709
\(126\) 6952.44 + 4541.35i 0.0390131 + 0.0254835i
\(127\) 201513. 1.10865 0.554325 0.832300i \(-0.312977\pi\)
0.554325 + 0.832300i \(0.312977\pi\)
\(128\) −49323.7 85431.2i −0.266091 0.460884i
\(129\) −26823.9 + 46460.4i −0.141921 + 0.245815i
\(130\) 8509.43 14738.8i 0.0441613 0.0764897i
\(131\) −19234.8 33315.6i −0.0979285 0.169617i 0.812899 0.582405i \(-0.197888\pi\)
−0.910827 + 0.412788i \(0.864555\pi\)
\(132\) 140525. 0.701970
\(133\) 153139. 77515.2i 0.750685 0.379977i
\(134\) 10497.7 0.0505049
\(135\) 37977.9 + 65779.6i 0.179348 + 0.310640i
\(136\) −1582.66 + 2741.25i −0.00733736 + 0.0127087i
\(137\) 120861. 209337.i 0.550155 0.952896i −0.448108 0.893979i \(-0.647902\pi\)
0.998263 0.0589167i \(-0.0187646\pi\)
\(138\) −691.929 1198.46i −0.00309289 0.00535703i
\(139\) −53112.2 −0.233162 −0.116581 0.993181i \(-0.537193\pi\)
−0.116581 + 0.993181i \(0.537193\pi\)
\(140\) −23307.1 + 423155.i −0.100501 + 1.82465i
\(141\) −39507.6 −0.167353
\(142\) 15346.0 + 26580.1i 0.0638667 + 0.110620i
\(143\) −51396.1 + 89020.7i −0.210180 + 0.364042i
\(144\) −39056.4 + 67647.7i −0.156959 + 0.271861i
\(145\) 225218. + 390088.i 0.889574 + 1.54079i
\(146\) −24812.0 −0.0963340
\(147\) 89560.9 121899.i 0.341842 0.465271i
\(148\) −324905. −1.21927
\(149\) −64531.0 111771.i −0.238124 0.412443i 0.722052 0.691839i \(-0.243199\pi\)
−0.960176 + 0.279396i \(0.909866\pi\)
\(150\) 27511.4 47651.1i 0.0998353 0.172920i
\(151\) −76603.2 + 132681.i −0.273404 + 0.473549i −0.969731 0.244175i \(-0.921483\pi\)
0.696327 + 0.717724i \(0.254816\pi\)
\(152\) −33176.3 57463.0i −0.116471 0.201734i
\(153\) 5115.85 0.0176681
\(154\) −2805.94 + 50943.5i −0.00953405 + 0.173096i
\(155\) 784075. 2.62137
\(156\) −29162.1 50510.3i −0.0959418 0.166176i
\(157\) 75593.9 130932.i 0.244758 0.423934i −0.717305 0.696759i \(-0.754625\pi\)
0.962064 + 0.272825i \(0.0879581\pi\)
\(158\) 15615.0 27046.0i 0.0497622 0.0861907i
\(159\) −80031.5 138619.i −0.251055 0.434839i
\(160\) 246555. 0.761402
\(161\) −22490.2 + 11384.0i −0.0683799 + 0.0346122i
\(162\) −5188.47 −0.0155329
\(163\) 16458.3 + 28506.7i 0.0485196 + 0.0840384i 0.889265 0.457392i \(-0.151216\pi\)
−0.840746 + 0.541430i \(0.817883\pi\)
\(164\) −65587.3 + 113601.i −0.190419 + 0.329816i
\(165\) −233334. + 404146.i −0.667219 + 1.15566i
\(166\) −40478.1 70110.1i −0.114012 0.197474i
\(167\) 217586. 0.603725 0.301862 0.953352i \(-0.402392\pi\)
0.301862 + 0.953352i \(0.402392\pi\)
\(168\) −48956.5 31978.5i −0.133825 0.0874147i
\(169\) −328630. −0.885095
\(170\) −2601.99 4506.77i −0.00690530 0.0119603i
\(171\) −53620.2 + 92872.9i −0.140229 + 0.242884i
\(172\) 93510.0 161964.i 0.241011 0.417443i
\(173\) 210621. + 364807.i 0.535041 + 0.926718i 0.999161 + 0.0409458i \(0.0130371\pi\)
−0.464121 + 0.885772i \(0.653630\pi\)
\(174\) −30768.8 −0.0770438
\(175\) −839100. 548101.i −2.07118 1.35290i
\(176\) −479921. −1.16785
\(177\) −15752.1 27283.4i −0.0377925 0.0654585i
\(178\) −44609.7 + 77266.3i −0.105531 + 0.182785i
\(179\) −1747.03 + 3025.94i −0.00407538 + 0.00705876i −0.868056 0.496466i \(-0.834631\pi\)
0.863981 + 0.503525i \(0.167964\pi\)
\(180\) −132394. 229312.i −0.304569 0.527529i
\(181\) 594611. 1.34908 0.674538 0.738240i \(-0.264343\pi\)
0.674538 + 0.738240i \(0.264343\pi\)
\(182\) 18893.4 9563.37i 0.0422798 0.0214009i
\(183\) −95692.2 −0.211227
\(184\) 4872.30 + 8439.08i 0.0106094 + 0.0183760i
\(185\) 539486. 934418.i 1.15891 2.00730i
\(186\) −26779.8 + 46383.9i −0.0567576 + 0.0983071i
\(187\) 15715.7 + 27220.5i 0.0328648 + 0.0569235i
\(188\) 137726. 0.284199
\(189\) −5197.62 + 94365.8i −0.0105840 + 0.192159i
\(190\) 109088. 0.219226
\(191\) −414322. 717627.i −0.821778 1.42336i −0.904357 0.426777i \(-0.859649\pi\)
0.0825782 0.996585i \(-0.473685\pi\)
\(192\) 130446. 225939.i 0.255375 0.442322i
\(193\) −109869. + 190299.i −0.212316 + 0.367743i −0.952439 0.304729i \(-0.901434\pi\)
0.740123 + 0.672472i \(0.234767\pi\)
\(194\) 11994.3 + 20774.7i 0.0228807 + 0.0396306i
\(195\) 193688. 0.364768
\(196\) −312216. + 424948.i −0.580516 + 0.790125i
\(197\) 475612. 0.873146 0.436573 0.899669i \(-0.356192\pi\)
0.436573 + 0.899669i \(0.356192\pi\)
\(198\) −15938.8 27606.9i −0.0288931 0.0500443i
\(199\) −313778. + 543479.i −0.561681 + 0.972859i 0.435669 + 0.900107i \(0.356512\pi\)
−0.997350 + 0.0727525i \(0.976822\pi\)
\(200\) −193725. + 335541.i −0.342460 + 0.593159i
\(201\) 59736.4 + 103466.i 0.104291 + 0.180638i
\(202\) −84455.1 −0.145629
\(203\) −30823.1 + 559611.i −0.0524972 + 0.953117i
\(204\) −17834.2 −0.0300039
\(205\) −217808. 377255.i −0.361984 0.626975i
\(206\) 62290.0 107889.i 0.102270 0.177138i
\(207\) 7874.71 13639.4i 0.0127735 0.0221243i
\(208\) 99594.5 + 172503.i 0.159616 + 0.276463i
\(209\) −658879. −1.04337
\(210\) 85774.6 43416.9i 0.134218 0.0679376i
\(211\) 570989. 0.882920 0.441460 0.897281i \(-0.354461\pi\)
0.441460 + 0.897281i \(0.354461\pi\)
\(212\) 278995. + 483234.i 0.426341 + 0.738445i
\(213\) −174650. + 302502.i −0.263766 + 0.456857i
\(214\) −35319.1 + 61174.4i −0.0527199 + 0.0913136i
\(215\) 310536. + 537865.i 0.458159 + 0.793555i
\(216\) 36535.3 0.0532817
\(217\) 816785. + 533525.i 1.17749 + 0.769140i
\(218\) −132543. −0.188892
\(219\) −141190. 244549.i −0.198927 0.344552i
\(220\) 813419. 1.40888e6i 1.13307 1.96254i
\(221\) 6522.75 11297.7i 0.00898359 0.0155600i
\(222\) 36851.8 + 63829.3i 0.0501853 + 0.0869235i
\(223\) 4233.11 0.00570029 0.00285015 0.999996i \(-0.499093\pi\)
0.00285015 + 0.999996i \(0.499093\pi\)
\(224\) 256841. + 167769.i 0.342014 + 0.223404i
\(225\) 626204. 0.824630
\(226\) −45785.2 79302.2i −0.0596285 0.103280i
\(227\) −564931. + 978490.i −0.727664 + 1.26035i 0.230204 + 0.973142i \(0.426061\pi\)
−0.957868 + 0.287209i \(0.907273\pi\)
\(228\) 186924. 323761.i 0.238137 0.412466i
\(229\) −402322. 696842.i −0.506973 0.878103i −0.999967 0.00807048i \(-0.997431\pi\)
0.492994 0.870032i \(-0.335902\pi\)
\(230\) −16020.7 −0.0199693
\(231\) −518070. + 262234.i −0.638791 + 0.323339i
\(232\) 216663. 0.264280
\(233\) −584636. 1.01262e6i −0.705498 1.22196i −0.966511 0.256624i \(-0.917390\pi\)
0.261013 0.965335i \(-0.415943\pi\)
\(234\) −6615.34 + 11458.1i −0.00789792 + 0.0136796i
\(235\) −228687. + 396098.i −0.270130 + 0.467878i
\(236\) 54912.9 + 95112.0i 0.0641792 + 0.111162i
\(237\) 355423. 0.411031
\(238\) 356.106 6465.31i 0.000407508 0.00739855i
\(239\) −1.70554e6 −1.93138 −0.965689 0.259700i \(-0.916376\pi\)
−0.965689 + 0.259700i \(0.916376\pi\)
\(240\) 452150. + 783147.i 0.506704 + 0.877638i
\(241\) −475598. + 823760.i −0.527470 + 0.913604i 0.472018 + 0.881589i \(0.343526\pi\)
−0.999487 + 0.0320153i \(0.989807\pi\)
\(242\) 34247.4 59318.3i 0.0375915 0.0651104i
\(243\) −29524.5 51137.9i −0.0320750 0.0555556i
\(244\) 333590. 0.358705
\(245\) −703723. 1.60353e6i −0.749008 1.70672i
\(246\) 29756.6 0.0313506
\(247\) 136732. + 236827.i 0.142603 + 0.246996i
\(248\) 188573. 326618.i 0.194693 0.337218i
\(249\) 460673. 797909.i 0.470863 0.815559i
\(250\) −189753. 328661.i −0.192016 0.332582i
\(251\) 1.14498e6 1.14713 0.573566 0.819159i \(-0.305560\pi\)
0.573566 + 0.819159i \(0.305560\pi\)
\(252\) 18119.3 328966.i 0.0179738 0.326324i
\(253\) 96763.6 0.0950409
\(254\) 79678.8 + 138008.i 0.0774923 + 0.134221i
\(255\) 29612.7 51290.7i 0.0285186 0.0493956i
\(256\) −424803. + 735781.i −0.405124 + 0.701695i
\(257\) −591869. 1.02515e6i −0.558976 0.968175i −0.997582 0.0694955i \(-0.977861\pi\)
0.438606 0.898679i \(-0.355472\pi\)
\(258\) −42425.0 −0.0396800
\(259\) 1.19782e6 606305.i 1.10954 0.561619i
\(260\) −675211. −0.619450
\(261\) −175087. 303260.i −0.159094 0.275558i
\(262\) 15211.0 26346.2i 0.0136900 0.0237118i
\(263\) −224158. + 388253.i −0.199832 + 0.346119i −0.948474 0.316856i \(-0.897373\pi\)
0.748642 + 0.662975i \(0.230706\pi\)
\(264\) 112235. + 194397.i 0.0991106 + 0.171665i
\(265\) −1.85303e6 −1.62094
\(266\) 113639. + 74228.9i 0.0984740 + 0.0643234i
\(267\) −1.01539e6 −0.871674
\(268\) −208245. 360691.i −0.177108 0.306760i
\(269\) −373737. + 647332.i −0.314909 + 0.545439i −0.979418 0.201841i \(-0.935307\pi\)
0.664509 + 0.747280i \(0.268641\pi\)
\(270\) −30033.1 + 52018.8i −0.0250721 + 0.0434261i
\(271\) 116319. + 201470.i 0.0962114 + 0.166643i 0.910114 0.414359i \(-0.135994\pi\)
−0.813902 + 0.581002i \(0.802661\pi\)
\(272\) 60907.3 0.0499169
\(273\) 201769. + 131796.i 0.163850 + 0.107027i
\(274\) 191155. 0.153819
\(275\) 1.92368e6 + 3.33191e6i 1.53391 + 2.65682i
\(276\) −27451.8 + 47547.9i −0.0216919 + 0.0375715i
\(277\) 1.21462e6 2.10379e6i 0.951134 1.64741i 0.208157 0.978095i \(-0.433253\pi\)
0.742977 0.669317i \(-0.233413\pi\)
\(278\) −21000.7 36374.3i −0.0162975 0.0282282i
\(279\) −609550. −0.468812
\(280\) −603992. + 305725.i −0.460401 + 0.233043i
\(281\) 2.51704e6 1.90163 0.950813 0.309766i \(-0.100251\pi\)
0.950813 + 0.309766i \(0.100251\pi\)
\(282\) −15621.4 27057.1i −0.0116976 0.0202609i
\(283\) −130497. + 226028.i −0.0968579 + 0.167763i −0.910382 0.413768i \(-0.864213\pi\)
0.813525 + 0.581530i \(0.197546\pi\)
\(284\) 608842. 1.05454e6i 0.447928 0.775835i
\(285\) 620753. + 1.07518e6i 0.452696 + 0.784092i
\(286\) −81288.6 −0.0587645
\(287\) 29809.1 541201.i 0.0213621 0.387841i
\(288\) −191675. −0.136171
\(289\) 707934. + 1.22618e6i 0.498595 + 0.863592i
\(290\) −178103. + 308484.i −0.124359 + 0.215396i
\(291\) −136505. + 236433.i −0.0944963 + 0.163672i
\(292\) 492199. + 852514.i 0.337819 + 0.585119i
\(293\) 65011.7 0.0442408 0.0221204 0.999755i \(-0.492958\pi\)
0.0221204 + 0.999755i \(0.492958\pi\)
\(294\) 118896. + 13137.3i 0.0802230 + 0.00886417i
\(295\) −364720. −0.244008
\(296\) −259497. 449462.i −0.172148 0.298170i
\(297\) 181397. 314189.i 0.119327 0.206680i
\(298\) 51031.5 88389.1i 0.0332887 0.0576578i
\(299\) −20080.6 34780.7i −0.0129897 0.0224989i
\(300\) −2.18299e6 −1.40039
\(301\) −42499.8 + 771608.i −0.0270377 + 0.490886i
\(302\) −121156. −0.0764414
\(303\) −480584. 832395.i −0.300720 0.520862i
\(304\) −638381. + 1.10571e6i −0.396183 + 0.686210i
\(305\) −553907. + 959395.i −0.340947 + 0.590538i
\(306\) 2022.82 + 3503.62i 0.00123496 + 0.00213902i
\(307\) −2.35599e6 −1.42668 −0.713342 0.700816i \(-0.752819\pi\)
−0.713342 + 0.700816i \(0.752819\pi\)
\(308\) 1.80603e6 914165.i 1.08480 0.549096i
\(309\) 1.41782e6 0.844744
\(310\) 310025. + 536980.i 0.183228 + 0.317361i
\(311\) 1.05903e6 1.83429e6i 0.620878 1.07539i −0.368445 0.929650i \(-0.620110\pi\)
0.989323 0.145742i \(-0.0465570\pi\)
\(312\) 46582.8 80683.7i 0.0270919 0.0469245i
\(313\) 93756.8 + 162392.i 0.0540931 + 0.0936920i 0.891804 0.452422i \(-0.149440\pi\)
−0.837711 + 0.546114i \(0.816107\pi\)
\(314\) 119560. 0.0684324
\(315\) 916012. + 598340.i 0.520145 + 0.339760i
\(316\) −1.23903e6 −0.698014
\(317\) 502705. + 870711.i 0.280974 + 0.486661i 0.971625 0.236527i \(-0.0760093\pi\)
−0.690651 + 0.723188i \(0.742676\pi\)
\(318\) 63289.3 109620.i 0.0350964 0.0607888i
\(319\) 1.07573e6 1.86321e6i 0.591868 1.02515i
\(320\) −1.51016e6 2.61567e6i −0.824417 1.42793i
\(321\) −803919. −0.435461
\(322\) −16689.1 10901.3i −0.00897000 0.00585922i
\(323\) 83619.1 0.0445964
\(324\) 102924. + 178270.i 0.0544698 + 0.0943445i
\(325\) 798415. 1.38290e6i 0.419296 0.726241i
\(326\) −13015.3 + 22543.2i −0.00678284 + 0.0117482i
\(327\) −754220. 1.30635e6i −0.390058 0.675600i
\(328\) −209535. −0.107540
\(329\) −507753. + 257011.i −0.258620 + 0.130907i
\(330\) −369043. −0.186549
\(331\) −839920. 1.45478e6i −0.421374 0.729841i 0.574700 0.818364i \(-0.305119\pi\)
−0.996074 + 0.0885229i \(0.971785\pi\)
\(332\) −1.60594e6 + 2.78157e6i −0.799620 + 1.38498i
\(333\) −419404. + 726429.i −0.207263 + 0.358990i
\(334\) 86033.9 + 149015.i 0.0421991 + 0.0730910i
\(335\) 1.38312e6 0.673360
\(336\) −61880.9 + 1.12348e6i −0.0299026 + 0.542899i
\(337\) −995036. −0.477270 −0.238635 0.971109i \(-0.576700\pi\)
−0.238635 + 0.971109i \(0.576700\pi\)
\(338\) −129941. 225064.i −0.0618663 0.107156i
\(339\) 521072. 902523.i 0.246263 0.426539i
\(340\) −103232. + 178803.i −0.0484303 + 0.0838837i
\(341\) −1.87252e6 3.24330e6i −0.872049 1.51043i
\(342\) −84806.2 −0.0392069
\(343\) 358042. 2.14927e6i 0.164323 0.986407i
\(344\) 298741. 0.136113
\(345\) −91164.4 157901.i −0.0412361 0.0714230i
\(346\) −166560. + 288491.i −0.0747965 + 0.129551i
\(347\) −2.02833e6 + 3.51317e6i −0.904304 + 1.56630i −0.0824546 + 0.996595i \(0.526276\pi\)
−0.821849 + 0.569705i \(0.807057\pi\)
\(348\) 610366. + 1.05718e6i 0.270173 + 0.467954i
\(349\) 2.86202e6 1.25779 0.628897 0.777488i \(-0.283507\pi\)
0.628897 + 0.777488i \(0.283507\pi\)
\(350\) 43589.0 791384.i 0.0190198 0.345316i
\(351\) −150576. −0.0652361
\(352\) −588821. 1.01987e6i −0.253295 0.438720i
\(353\) −416343. + 721126.i −0.177834 + 0.308017i −0.941138 0.338022i \(-0.890242\pi\)
0.763305 + 0.646039i \(0.223576\pi\)
\(354\) 12456.8 21575.9i 0.00528323 0.00915083i
\(355\) 2.02190e6 + 3.50203e6i 0.851507 + 1.47485i
\(356\) 3.53972e6 1.48028
\(357\) 65748.9 33280.4i 0.0273035 0.0138203i
\(358\) −2763.12 −0.00113944
\(359\) 1.34875e6 + 2.33611e6i 0.552327 + 0.956659i 0.998106 + 0.0615157i \(0.0195934\pi\)
−0.445779 + 0.895143i \(0.647073\pi\)
\(360\) 211482. 366297.i 0.0860036 0.148963i
\(361\) 361621. 626346.i 0.146045 0.252957i
\(362\) 235110. + 407223.i 0.0942976 + 0.163328i
\(363\) 779527. 0.310502
\(364\) −703379. 459449.i −0.278251 0.181754i
\(365\) −3.26908e6 −1.28438
\(366\) −37836.9 65535.5i −0.0147643 0.0255725i
\(367\) −727411. + 1.25991e6i −0.281913 + 0.488287i −0.971856 0.235576i \(-0.924302\pi\)
0.689943 + 0.723864i \(0.257636\pi\)
\(368\) 93753.3 162386.i 0.0360884 0.0625069i
\(369\) 169327. + 293283.i 0.0647382 + 0.112130i
\(370\) 853257. 0.324023
\(371\) −1.93033e6 1.26089e6i −0.728110 0.475602i
\(372\) 2.12494e6 0.796138
\(373\) 1.02344e6 + 1.77265e6i 0.380883 + 0.659708i 0.991189 0.132457i \(-0.0422868\pi\)
−0.610306 + 0.792166i \(0.708953\pi\)
\(374\) −12428.1 + 21526.1i −0.00459436 + 0.00795767i
\(375\) 2.15954e6 3.74043e6i 0.793018 1.37355i
\(376\) 110000. + 190526.i 0.0401258 + 0.0694999i
\(377\) −892950. −0.323574
\(378\) −66682.3 + 33752.9i −0.0240039 + 0.0121501i
\(379\) −416898. −0.149084 −0.0745421 0.997218i \(-0.523750\pi\)
−0.0745421 + 0.997218i \(0.523750\pi\)
\(380\) −2.16399e6 3.74814e6i −0.768769 1.33155i
\(381\) −906810. + 1.57064e6i −0.320040 + 0.554325i
\(382\) 327648. 567503.i 0.114881 0.198980i
\(383\) 1.93813e6 + 3.35694e6i 0.675127 + 1.16935i 0.976432 + 0.215827i \(0.0692446\pi\)
−0.301305 + 0.953528i \(0.597422\pi\)
\(384\) 887827. 0.307256
\(385\) −369694. + 6.71201e6i −0.127113 + 2.30782i
\(386\) −173771. −0.0593619
\(387\) −241415. 418143.i −0.0819383 0.141921i
\(388\) 475864. 824221.i 0.160474 0.277949i
\(389\) −1.41901e6 + 2.45780e6i −0.475458 + 0.823517i −0.999605 0.0281111i \(-0.991051\pi\)
0.524147 + 0.851628i \(0.324384\pi\)
\(390\) 76584.9 + 132649.i 0.0254966 + 0.0441613i
\(391\) −12280.4 −0.00406228
\(392\) −837221. 92508.0i −0.275185 0.0304063i
\(393\) 346226. 0.113078
\(394\) 188058. + 325726.i 0.0610311 + 0.105709i
\(395\) 2.05734e6 3.56342e6i 0.663458 1.14914i
\(396\) −632362. + 1.09528e6i −0.202641 + 0.350985i
\(397\) −2.17133e6 3.76085e6i −0.691432 1.19760i −0.971369 0.237577i \(-0.923647\pi\)
0.279937 0.960018i \(-0.409686\pi\)
\(398\) −496274. −0.157041
\(399\) −84955.8 + 1.54242e6i −0.0267153 + 0.485032i
\(400\) 7.45534e6 2.32979
\(401\) −1.70152e6 2.94712e6i −0.528417 0.915244i −0.999451 0.0331296i \(-0.989453\pi\)
0.471034 0.882115i \(-0.343881\pi\)
\(402\) −47239.8 + 81821.8i −0.0145795 + 0.0252525i
\(403\) −777182. + 1.34612e6i −0.238375 + 0.412877i
\(404\) 1.67535e6 + 2.90179e6i 0.510683 + 0.884529i
\(405\) −683602. −0.207093
\(406\) −395441. + 200162.i −0.119060 + 0.0602653i
\(407\) −5.15359e6 −1.54214
\(408\) −14243.9 24671.2i −0.00423623 0.00733736i
\(409\) 2.64716e6 4.58501e6i 0.782477 1.35529i −0.148018 0.988985i \(-0.547289\pi\)
0.930495 0.366305i \(-0.119377\pi\)
\(410\) 172244. 298335.i 0.0506039 0.0876486i
\(411\) 1.08775e6 + 1.88404e6i 0.317632 + 0.550155i
\(412\) −4.94262e6 −1.43455
\(413\) −379935. 248174.i −0.109606 0.0715947i
\(414\) 12454.7 0.00357136
\(415\) −5.33315e6 9.23728e6i −1.52007 2.63284i
\(416\) −244387. + 423291.i −0.0692382 + 0.119924i
\(417\) 239005. 413969.i 0.0673080 0.116581i
\(418\) −260522. 451238.i −0.0729297 0.126318i
\(419\) 2.87267e6 0.799376 0.399688 0.916651i \(-0.369119\pi\)
0.399688 + 0.916651i \(0.369119\pi\)
\(420\) −3.19328e6 2.08586e6i −0.883312 0.576981i
\(421\) 2.08688e6 0.573843 0.286921 0.957954i \(-0.407368\pi\)
0.286921 + 0.957954i \(0.407368\pi\)
\(422\) 225770. + 391046.i 0.0617143 + 0.106892i
\(423\) 177784. 307932.i 0.0483106 0.0836765i
\(424\) −445660. + 771905.i −0.120390 + 0.208521i
\(425\) −244137. 422857.i −0.0655633 0.113559i
\(426\) −276228. −0.0737469
\(427\) −1.22984e6 + 622512.i −0.326421 + 0.165226i
\(428\) 2.80252e6 0.739501
\(429\) −462565. 801187.i −0.121347 0.210180i
\(430\) −245574. + 425346.i −0.0640488 + 0.110936i
\(431\) 1.21432e6 2.10326e6i 0.314876 0.545380i −0.664535 0.747257i \(-0.731371\pi\)
0.979411 + 0.201876i \(0.0647039\pi\)
\(432\) −351508. 608829.i −0.0906202 0.156959i
\(433\) 956219. 0.245097 0.122548 0.992463i \(-0.460893\pi\)
0.122548 + 0.992463i \(0.460893\pi\)
\(434\) −42429.8 + 770338.i −0.0108130 + 0.196317i
\(435\) −4.05392e6 −1.02719
\(436\) 2.62927e6 + 4.55402e6i 0.662397 + 1.14730i
\(437\) 128713. 222938.i 0.0322418 0.0558444i
\(438\) 111654. 193390.i 0.0278092 0.0481670i
\(439\) −1.32102e6 2.28808e6i −0.327152 0.566644i 0.654794 0.755808i \(-0.272756\pi\)
−0.981946 + 0.189164i \(0.939422\pi\)
\(440\) 2.59867e6 0.639910
\(441\) 547084. + 1.24660e6i 0.133955 + 0.305233i
\(442\) 10316.4 0.00251174
\(443\) 1.71983e6 + 2.97883e6i 0.416366 + 0.721168i 0.995571 0.0940147i \(-0.0299701\pi\)
−0.579205 + 0.815182i \(0.696637\pi\)
\(444\) 1.46207e6 2.53238e6i 0.351974 0.609637i
\(445\) −5.87750e6 + 1.01801e7i −1.40700 + 2.43699i
\(446\) 1673.78 + 2899.07i 0.000398439 + 0.000690116i
\(447\) 1.16156e6 0.274962
\(448\) 206679. 3.75237e6i 0.0486520 0.883306i
\(449\) 4.39903e6 1.02977 0.514886 0.857259i \(-0.327834\pi\)
0.514886 + 0.857259i \(0.327834\pi\)
\(450\) 247602. + 428860.i 0.0576400 + 0.0998353i
\(451\) −1.04034e6 + 1.80192e6i −0.240842 + 0.417151i
\(452\) −1.81649e6 + 3.14626e6i −0.418204 + 0.724350i
\(453\) −689429. 1.19413e6i −0.157850 0.273404i
\(454\) −893501. −0.203449
\(455\) 2.48929e6 1.26001e6i 0.563698 0.285329i
\(456\) 597173. 0.134490
\(457\) 1.12555e6 + 1.94951e6i 0.252101 + 0.436652i 0.964104 0.265524i \(-0.0855451\pi\)
−0.712003 + 0.702176i \(0.752212\pi\)
\(458\) 318158. 551066.i 0.0708727 0.122755i
\(459\) −23021.3 + 39874.1i −0.00510033 + 0.00883403i
\(460\) 317805. + 550455.i 0.0700272 + 0.121291i
\(461\) 1.85307e6 0.406107 0.203053 0.979168i \(-0.434913\pi\)
0.203053 + 0.979168i \(0.434913\pi\)
\(462\) −384439. 251116.i −0.0837958 0.0547356i
\(463\) −3.01089e6 −0.652744 −0.326372 0.945241i \(-0.605826\pi\)
−0.326372 + 0.945241i \(0.605826\pi\)
\(464\) −2.08452e6 3.61050e6i −0.449481 0.778524i
\(465\) −3.52834e6 + 6.11126e6i −0.756725 + 1.31069i
\(466\) 462333. 800785.i 0.0986258 0.170825i
\(467\) 533627. + 924270.i 0.113226 + 0.196113i 0.917069 0.398728i \(-0.130548\pi\)
−0.803843 + 0.594841i \(0.797215\pi\)
\(468\) 524918. 0.110784
\(469\) 1.44082e6 + 941145.i 0.302466 + 0.197572i
\(470\) −361694. −0.0755260
\(471\) 680345. + 1.17839e6i 0.141311 + 0.244758i
\(472\) −87716.4 + 151929.i −0.0181228 + 0.0313896i
\(473\) 1.48324e6 2.56905e6i 0.304831 0.527983i
\(474\) 140535. + 243414.i 0.0287302 + 0.0497622i
\(475\) 1.02354e7 2.08147
\(476\) −229205. + 116018.i −0.0463668 + 0.0234697i
\(477\) 1.44057e6 0.289893
\(478\) −674375. 1.16805e6i −0.134999 0.233826i
\(479\) 2.84394e6 4.92585e6i 0.566346 0.980939i −0.430577 0.902554i \(-0.641690\pi\)
0.996923 0.0783858i \(-0.0249766\pi\)
\(480\) −1.10950e6 + 1.92171e6i −0.219798 + 0.380701i
\(481\) 1.06949e6 + 1.85240e6i 0.210772 + 0.365068i
\(482\) −752211. −0.147476
\(483\) 12476.7 226522.i 0.00243350 0.0441816i
\(484\) −2.71749e6 −0.527295
\(485\) 1.58029e6 + 2.73715e6i 0.305059 + 0.528377i
\(486\) 23348.1 40440.1i 0.00448396 0.00776644i
\(487\) 3.42239e6 5.92775e6i 0.653893 1.13258i −0.328277 0.944582i \(-0.606468\pi\)
0.982170 0.187995i \(-0.0601987\pi\)
\(488\) 266433. + 461476.i 0.0506453 + 0.0877202i
\(489\) −296250. −0.0560256
\(490\) 819933. 1.11599e6i 0.154272 0.209976i
\(491\) 5.60132e6 1.04854 0.524272 0.851551i \(-0.324338\pi\)
0.524272 + 0.851551i \(0.324338\pi\)
\(492\) −590286. 1.02241e6i −0.109939 0.190419i
\(493\) −136522. + 236462.i −0.0252979 + 0.0438172i
\(494\) −108129. + 187284.i −0.0199353 + 0.0345290i
\(495\) −2.10001e6 3.63732e6i −0.385219 0.667219i
\(496\) −7.25708e6 −1.32452
\(497\) −276715. + 5.02392e6i −0.0502507 + 0.912330i
\(498\) 728605. 0.131649
\(499\) 1.16764e6 + 2.02242e6i 0.209923 + 0.363596i 0.951690 0.307061i \(-0.0993455\pi\)
−0.741767 + 0.670657i \(0.766012\pi\)
\(500\) −7.52830e6 + 1.30394e7i −1.34670 + 2.33256i
\(501\) −979135. + 1.69591e6i −0.174280 + 0.301862i
\(502\) 452728. + 784147.i 0.0801822 + 0.138880i
\(503\) −1.08278e7 −1.90819 −0.954093 0.299510i \(-0.903177\pi\)
−0.954093 + 0.299510i \(0.903177\pi\)
\(504\) 469552. 237675.i 0.0823393 0.0416780i
\(505\) −1.11273e7 −1.94161
\(506\) 38260.6 + 66269.3i 0.00664317 + 0.0115063i
\(507\) 1.47883e6 2.56141e6i 0.255505 0.442547i
\(508\) 3.16120e6 5.47536e6i 0.543492 0.941355i
\(509\) −1.58924e6 2.75264e6i −0.271890 0.470928i 0.697455 0.716628i \(-0.254316\pi\)
−0.969346 + 0.245700i \(0.920982\pi\)
\(510\) 46835.7 0.00797356
\(511\) −3.40546e6 2.22445e6i −0.576930 0.376852i
\(512\) −3.82859e6 −0.645452
\(513\) −482582. 835856.i −0.0809613 0.140229i
\(514\) 468053. 810692.i 0.0781425 0.135347i
\(515\) 8.20695e6 1.42149e7i 1.36353 2.36170i
\(516\) 841590. + 1.45768e6i 0.139148 + 0.241011i
\(517\) 2.18460e6 0.359455
\(518\) 888852. + 580600.i 0.145548 + 0.0950720i
\(519\) −3.79118e6 −0.617812
\(520\) −539282. 934064.i −0.0874596 0.151485i
\(521\) 3.17918e6 5.50651e6i 0.513123 0.888755i −0.486761 0.873535i \(-0.661822\pi\)
0.999884 0.0152197i \(-0.00484477\pi\)
\(522\) 138460. 239819.i 0.0222406 0.0385219i
\(523\) 3.61094e6 + 6.25433e6i 0.577252 + 0.999830i 0.995793 + 0.0916321i \(0.0292084\pi\)
−0.418541 + 0.908198i \(0.637458\pi\)
\(524\) −1.20697e6 −0.192029
\(525\) 8.04798e6 4.07368e6i 1.27435 0.645043i
\(526\) −354531. −0.0558714
\(527\) 237644. + 411612.i 0.0372735 + 0.0645597i
\(528\) 2.15964e6 3.74061e6i 0.337130 0.583926i
\(529\) 3.19927e6 5.54130e6i 0.497063 0.860939i
\(530\) −732691. 1.26906e6i −0.113300 0.196242i
\(531\) 283538. 0.0436390
\(532\) 296162. 5.37699e6i 0.0453680 0.823683i
\(533\) 863574. 0.131668
\(534\) −401487. 695396.i −0.0609282 0.105531i
\(535\) −4.65343e6 + 8.05997e6i −0.702892 + 1.21744i
\(536\) 332645. 576158.i 0.0500114 0.0866223i
\(537\) −15723.3 27233.5i −0.00235292 0.00407538i
\(538\) −591106. −0.0880461
\(539\) −4.95232e6 + 6.74046e6i −0.734237 + 0.999350i
\(540\) 2.38308e6 0.351686
\(541\) 4.71583e6 + 8.16805e6i 0.692731 + 1.19985i 0.970940 + 0.239325i \(0.0769260\pi\)
−0.278209 + 0.960521i \(0.589741\pi\)
\(542\) −91985.4 + 159323.i −0.0134500 + 0.0232960i
\(543\) −2.67575e6 + 4.63453e6i −0.389444 + 0.674538i
\(544\) 74728.0 + 129433.i 0.0108264 + 0.0187520i
\(545\) −1.74630e7 −2.51842
\(546\) −10481.3 + 190295.i −0.00150465 + 0.0273178i
\(547\) 9.91568e6 1.41695 0.708474 0.705737i \(-0.249384\pi\)
0.708474 + 0.705737i \(0.249384\pi\)
\(548\) −3.79197e6 6.56788e6i −0.539403 0.934274i
\(549\) 430615. 745847.i 0.0609759 0.105613i
\(550\) −1.52126e6 + 2.63489e6i −0.214435 + 0.371412i
\(551\) −2.86182e6 4.95682e6i −0.401572 0.695543i
\(552\) −87701.5 −0.0122507
\(553\) 4.56790e6 2.31216e6i 0.635191 0.321517i
\(554\) 1.92106e6 0.265929
\(555\) 4.85538e6 + 8.40976e6i 0.669099 + 1.15891i
\(556\) −833188. + 1.44312e6i −0.114303 + 0.197978i
\(557\) −4.82306e6 + 8.35379e6i −0.658696 + 1.14089i 0.322258 + 0.946652i \(0.395558\pi\)
−0.980953 + 0.194243i \(0.937775\pi\)
\(558\) −241018. 417455.i −0.0327690 0.0567576i
\(559\) −1.23123e6 −0.166651
\(560\) 1.09057e7 + 7.12362e6i 1.46955 + 0.959910i
\(561\) −282883. −0.0379490
\(562\) 995245. + 1.72382e6i 0.132920 + 0.230224i
\(563\) −1.54752e6 + 2.68038e6i −0.205762 + 0.356390i −0.950375 0.311106i \(-0.899301\pi\)
0.744613 + 0.667496i \(0.232634\pi\)
\(564\) −619769. + 1.07347e6i −0.0820412 + 0.142100i
\(565\) −6.03238e6 1.04484e7i −0.795000 1.37698i
\(566\) −206396. −0.0270807
\(567\) −712120. 465158.i −0.0930241 0.0607635i
\(568\) 1.94509e6 0.252970
\(569\) 6.15927e6 + 1.06682e7i 0.797533 + 1.38137i 0.921218 + 0.389046i \(0.127195\pi\)
−0.123685 + 0.992322i \(0.539471\pi\)
\(570\) −490895. + 850254.i −0.0632850 + 0.109613i
\(571\) 1.61755e6 2.80168e6i 0.207619 0.359607i −0.743345 0.668908i \(-0.766762\pi\)
0.950964 + 0.309302i \(0.100095\pi\)
\(572\) 1.61253e6 + 2.79299e6i 0.206072 + 0.356927i
\(573\) 7.45780e6 0.948908
\(574\) 382432. 193577.i 0.0484479 0.0245231i
\(575\) −1.50318e6 −0.189601
\(576\) 1.17402e6 + 2.03345e6i 0.147441 + 0.255375i
\(577\) 4.52525e6 7.83796e6i 0.565852 0.980084i −0.431118 0.902296i \(-0.641881\pi\)
0.996970 0.0777887i \(-0.0247859\pi\)
\(578\) −559838. + 969667.i −0.0697016 + 0.120727i
\(579\) −988825. 1.71269e6i −0.122581 0.212316i
\(580\) 1.41322e7 1.74438
\(581\) 729890. 1.32516e7i 0.0897051 1.62865i
\(582\) −215897. −0.0264204
\(583\) 4.42538e6 + 7.66499e6i 0.539237 + 0.933986i
\(584\) −786226. + 1.36178e6i −0.0953927 + 0.165225i
\(585\) −871598. + 1.50965e6i −0.105300 + 0.182384i
\(586\) 25705.8 + 44523.8i 0.00309234 + 0.00535609i
\(587\) −2.13170e6 −0.255347 −0.127673 0.991816i \(-0.540751\pi\)
−0.127673 + 0.991816i \(0.540751\pi\)
\(588\) −1.90717e6 4.34575e6i −0.227482 0.518347i
\(589\) −9.96318e6 −1.18334
\(590\) −144211. 249781.i −0.0170557 0.0295413i
\(591\) −2.14025e6 + 3.70703e6i −0.252056 + 0.436573i
\(592\) −4.99326e6 + 8.64858e6i −0.585572 + 1.01424i
\(593\) 3.63467e6 + 6.29543e6i 0.424451 + 0.735171i 0.996369 0.0851397i \(-0.0271337\pi\)
−0.571918 + 0.820311i \(0.693800\pi\)
\(594\) 286899. 0.0333629
\(595\) 46918.4 851830.i 0.00543313 0.0986417i
\(596\) −4.04927e6 −0.466941
\(597\) −2.82400e6 4.89131e6i −0.324286 0.561681i
\(598\) 15879.9 27504.8i 0.00181591 0.00314525i
\(599\) 1.10282e6 1.91015e6i 0.125585 0.217520i −0.796376 0.604802i \(-0.793252\pi\)
0.921962 + 0.387281i \(0.126586\pi\)
\(600\) −1.74352e6 3.01987e6i −0.197720 0.342460i
\(601\) −1.00121e7 −1.13067 −0.565336 0.824860i \(-0.691254\pi\)
−0.565336 + 0.824860i \(0.691254\pi\)
\(602\) −545246. + 275990.i −0.0613199 + 0.0310385i
\(603\) −1.07525e6 −0.120425
\(604\) 2.40340e6 + 4.16280e6i 0.268061 + 0.464295i
\(605\) 4.51224e6 7.81542e6i 0.501191 0.868088i
\(606\) 380048. 658262.i 0.0420394 0.0728144i
\(607\) −3.16069e6 5.47448e6i −0.348185 0.603075i 0.637742 0.770250i \(-0.279869\pi\)
−0.985927 + 0.167175i \(0.946535\pi\)
\(608\) −3.13295e6 −0.343712
\(609\) −4.22303e6 2.75849e6i −0.461404 0.301390i
\(610\) −876065. −0.0953261
\(611\) −453353. 785231.i −0.0491285 0.0850931i
\(612\) 80253.9 139004.i 0.00866139 0.0150020i
\(613\) −7.15392e6 + 1.23910e7i −0.768941 + 1.33185i 0.169196 + 0.985582i \(0.445883\pi\)
−0.938138 + 0.346263i \(0.887451\pi\)
\(614\) −931565. 1.61352e6i −0.0997223 0.172724i
\(615\) 3.92055e6 0.417984
\(616\) 2.70707e6 + 1.76827e6i 0.287441 + 0.187757i
\(617\) 1.73991e7 1.83999 0.919993 0.391936i \(-0.128194\pi\)
0.919993 + 0.391936i \(0.128194\pi\)
\(618\) 560610. + 971004.i 0.0590459 + 0.102270i
\(619\) −4.13368e6 + 7.15975e6i −0.433621 + 0.751054i −0.997182 0.0750208i \(-0.976098\pi\)
0.563561 + 0.826074i \(0.309431\pi\)
\(620\) 1.23000e7 2.13043e7i 1.28507 2.22581i
\(621\) 70872.4 + 122755.i 0.00737476 + 0.0127735i
\(622\) 1.67497e6 0.173592
\(623\) −1.30498e7 + 6.60547e6i −1.34705 + 0.681841i
\(624\) −1.79270e6 −0.184309
\(625\) −1.29211e7 2.23800e7i −1.32312 2.29172i
\(626\) −74143.4 + 128420.i −0.00756200 + 0.0130978i
\(627\) 2.96495e6 5.13545e6i 0.301196 0.521687i
\(628\) −2.37173e6 4.10796e6i −0.239975 0.415649i
\(629\) 654048. 0.0659148
\(630\) −47584.4 + 863923.i −0.00477654 + 0.0867208i
\(631\) 2.83238e6 0.283190 0.141595 0.989925i \(-0.454777\pi\)
0.141595 + 0.989925i \(0.454777\pi\)
\(632\) −989596. 1.71403e6i −0.0985520 0.170697i
\(633\) −2.56945e6 + 4.45041e6i −0.254877 + 0.441460i
\(634\) −397542. + 688563.i −0.0392790 + 0.0680331i
\(635\) 1.04980e7 + 1.81831e7i 1.03317 + 1.78951i
\(636\) −5.02192e6 −0.492297
\(637\) 3.45051e6 + 381261.i 0.336926 + 0.0372284i
\(638\) 1.70138e6 0.165481
\(639\) −1.57185e6 2.72252e6i −0.152286 0.263766i
\(640\) 5.13912e6 8.90122e6i 0.495951 0.859012i
\(641\) 1.78588e6 3.09324e6i 0.171675 0.297350i −0.767330 0.641252i \(-0.778415\pi\)
0.939006 + 0.343902i \(0.111749\pi\)
\(642\) −317872. 550570.i −0.0304379 0.0527199i
\(643\) −5.96911e6 −0.569354 −0.284677 0.958624i \(-0.591886\pi\)
−0.284677 + 0.958624i \(0.591886\pi\)
\(644\) −43494.6 + 789670.i −0.00413258 + 0.0750293i
\(645\) −5.58966e6 −0.529037
\(646\) 33063.2 + 57267.2i 0.00311719 + 0.00539914i
\(647\) 841379. 1.45731e6i 0.0790189 0.136865i −0.823808 0.566869i \(-0.808155\pi\)
0.902827 + 0.430004i \(0.141488\pi\)
\(648\) −164409. + 284764.i −0.0153811 + 0.0266408i
\(649\) 871021. + 1.50865e6i 0.0811739 + 0.140597i
\(650\) 1.26278e6 0.117232
\(651\) −7.83395e6 + 3.96534e6i −0.724483 + 0.366715i
\(652\) 1.03275e6 0.0951427
\(653\) −8.51526e6 1.47489e7i −0.781475 1.35355i −0.931082 0.364809i \(-0.881134\pi\)
0.149608 0.988745i \(-0.452199\pi\)
\(654\) 596441. 1.03307e6i 0.0545285 0.0944461i
\(655\) 2.00411e6 3.47121e6i 0.182523 0.316139i
\(656\) 2.01594e6 + 3.49172e6i 0.182902 + 0.316796i
\(657\) 2.54143e6 0.229702
\(658\) −376783. 246115.i −0.0339255 0.0221602i
\(659\) −1.99303e7 −1.78772 −0.893862 0.448342i \(-0.852015\pi\)
−0.893862 + 0.448342i \(0.852015\pi\)
\(660\) 7.32077e6 + 1.26799e7i 0.654179 + 1.13307i
\(661\) −4.77867e6 + 8.27691e6i −0.425406 + 0.736825i −0.996458 0.0840888i \(-0.973202\pi\)
0.571052 + 0.820914i \(0.306535\pi\)
\(662\) 664213. 1.15045e6i 0.0589064 0.102029i
\(663\) 58704.7 + 101680.i 0.00518668 + 0.00898359i
\(664\) −5.13056e6 −0.451591
\(665\) 1.49723e7 + 9.77995e6i 1.31291 + 0.857595i
\(666\) −663333. −0.0579490
\(667\) 420290. + 727963.i 0.0365792 + 0.0633570i
\(668\) 3.41333e6 5.91207e6i 0.295963 0.512623i
\(669\) −19049.0 + 32993.8i −0.00164553 + 0.00285015i
\(670\) 546889. + 947239.i 0.0470665 + 0.0815216i
\(671\) 5.29135e6 0.453691
\(672\) −2.46341e6 + 1.24692e6i −0.210433 + 0.106516i
\(673\) 1.80397e7 1.53530 0.767648 0.640872i \(-0.221427\pi\)
0.767648 + 0.640872i \(0.221427\pi\)
\(674\) −393440. 681457.i −0.0333602 0.0577815i
\(675\) −2.81792e6 + 4.88077e6i −0.238050 + 0.412315i
\(676\) −5.15531e6 + 8.92927e6i −0.433899 + 0.751535i
\(677\) 7.23704e6 + 1.25349e7i 0.606861 + 1.05111i 0.991754 + 0.128153i \(0.0409048\pi\)
−0.384894 + 0.922961i \(0.625762\pi\)
\(678\) 824133. 0.0688530
\(679\) −216278. + 3.92665e6i −0.0180027 + 0.326849i
\(680\) −329800. −0.0273513
\(681\) −5.08438e6 8.80641e6i −0.420117 0.727664i
\(682\) 1.48080e6 2.56482e6i 0.121909 0.211152i
\(683\) −1.34392e6 + 2.32774e6i −0.110236 + 0.190934i −0.915865 0.401486i \(-0.868494\pi\)
0.805629 + 0.592420i \(0.201827\pi\)
\(684\) 1.68231e6 + 2.91385e6i 0.137489 + 0.238137i
\(685\) 2.51854e7 2.05080
\(686\) 1.61351e6 604620.i 0.130907 0.0490537i
\(687\) 7.24179e6 0.585402
\(688\) −2.87420e6 4.97826e6i −0.231497 0.400965i
\(689\) 1.83674e6 3.18132e6i 0.147400 0.255305i
\(690\) 72093.3 124869.i 0.00576464 0.00998464i
\(691\) −2.33814e6 4.04977e6i −0.186284 0.322653i 0.757725 0.652574i \(-0.226311\pi\)
−0.944008 + 0.329922i \(0.892978\pi\)
\(692\) 1.32163e7 1.04917
\(693\) 287405. 5.21801e6i 0.0227333 0.412735i
\(694\) −3.20802e6 −0.252836
\(695\) −2.76693e6 4.79246e6i −0.217288 0.376354i
\(696\) −974982. + 1.68872e6i −0.0762910 + 0.132140i
\(697\) 132030. 228683.i 0.0102942 0.0178301i
\(698\) 1.13165e6 + 1.96008e6i 0.0879172 + 0.152277i
\(699\) 1.05235e7 0.814639
\(700\) −2.80558e7 + 1.42011e7i −2.16410 + 1.09541i
\(701\) 6.34801e6 0.487913 0.243957 0.969786i \(-0.421555\pi\)
0.243957 + 0.969786i \(0.421555\pi\)
\(702\) −59538.1 103123.i −0.00455987 0.00789792i
\(703\) −6.85520e6 + 1.18736e7i −0.523157 + 0.906135i
\(704\) −7.21309e6 + 1.24934e7i −0.548516 + 0.950058i
\(705\) −2.05818e6 3.56488e6i −0.155959 0.270130i
\(706\) −658492. −0.0497208
\(707\) −1.15915e7 7.57158e6i −0.872150 0.569690i
\(708\) −988433. −0.0741078
\(709\) 3.20526e6 + 5.55168e6i 0.239468 + 0.414771i 0.960562 0.278067i \(-0.0896936\pi\)
−0.721094 + 0.692838i \(0.756360\pi\)
\(710\) −1.59893e6 + 2.76942e6i −0.119037 + 0.206178i
\(711\) −1.59940e6 + 2.77025e6i −0.118655 + 0.205516i
\(712\) 2.82712e6 + 4.89672e6i 0.208999 + 0.361997i
\(713\) 1.46320e6 0.107790
\(714\) 48789.6 + 31869.5i 0.00358164 + 0.00233953i
\(715\) −1.07101e7 −0.783481
\(716\) 54812.4 + 94937.9i 0.00399573 + 0.00692081i
\(717\) 7.67493e6 1.32934e7i 0.557541 0.965689i
\(718\) −1.06660e6 + 1.84741e6i −0.0772131 + 0.133737i
\(719\) −3.67253e6 6.36100e6i −0.264937 0.458885i 0.702610 0.711575i \(-0.252018\pi\)
−0.967547 + 0.252691i \(0.918685\pi\)
\(720\) −8.13870e6 −0.585092
\(721\) 1.82218e7 9.22343e6i 1.30543 0.660776i
\(722\) 571944. 0.0408329
\(723\) −4.28038e6 7.41384e6i −0.304535 0.527470i
\(724\) 9.32784e6 1.61563e7i 0.661355 1.14550i
\(725\) −1.67109e7 + 2.89441e7i −1.18074 + 2.04510i
\(726\) 308227. + 533865.i 0.0217035 + 0.0375915i
\(727\) 1.57839e7 1.10759 0.553793 0.832655i \(-0.313180\pi\)
0.553793 + 0.832655i \(0.313180\pi\)
\(728\) 73805.7 1.33999e6i 0.00516133 0.0937069i
\(729\) 531441. 0.0370370
\(730\) −1.29260e6 2.23885e6i −0.0897755 0.155496i
\(731\) −188240. + 326041.i −0.0130292 + 0.0225673i
\(732\) −1.50115e6 + 2.60007e6i −0.103549 + 0.179353i
\(733\) −6.76835e6 1.17231e7i −0.465289 0.805905i 0.533925 0.845532i \(-0.320716\pi\)
−0.999215 + 0.0396269i \(0.987383\pi\)
\(734\) −1.15048e6 −0.0788205
\(735\) 1.56650e7 + 1.73089e6i 1.06958 + 0.118182i
\(736\) 460109. 0.0313088
\(737\) −3.30315e6 5.72123e6i −0.224006 0.387990i
\(738\) −133905. + 231930.i −0.00905013 + 0.0156753i
\(739\) 3.66851e6 6.35405e6i 0.247103 0.427996i −0.715617 0.698492i \(-0.753855\pi\)
0.962721 + 0.270497i \(0.0871879\pi\)
\(740\) −1.69262e7 2.93170e7i −1.13626 1.96807i
\(741\) −2.46118e6 −0.164664
\(742\) 100276. 1.82056e6i 0.00668629 0.121394i
\(743\) 1.20844e7 0.803068 0.401534 0.915844i \(-0.368477\pi\)
0.401534 + 0.915844i \(0.368477\pi\)
\(744\) 1.69716e6 + 2.93956e6i 0.112406 + 0.194693i
\(745\) 6.72360e6 1.16456e7i 0.443824 0.768726i
\(746\) −809343. + 1.40182e6i −0.0532459 + 0.0922245i
\(747\) 4.14606e6 + 7.18118e6i 0.271853 + 0.470863i
\(748\) 986151. 0.0644450
\(749\) −1.03320e7 + 5.22978e6i −0.672944 + 0.340627i
\(750\) 3.41555e6 0.221721
\(751\) −4.39088e6 7.60523e6i −0.284087 0.492054i 0.688300 0.725426i \(-0.258357\pi\)
−0.972387 + 0.233372i \(0.925024\pi\)
\(752\) 2.11663e6 3.66612e6i 0.136490 0.236408i
\(753\) −5.15241e6 + 8.92423e6i −0.331148 + 0.573566i
\(754\) −353075. 611543.i −0.0226172 0.0391741i
\(755\) −1.59628e7 −1.01916
\(756\) 2.48250e6 + 1.62157e6i 0.157974 + 0.103189i
\(757\) 465874. 0.0295480 0.0147740 0.999891i \(-0.495297\pi\)
0.0147740 + 0.999891i \(0.495297\pi\)
\(758\) −164842. 285516.i −0.0104207 0.0180491i
\(759\) −435436. + 754198.i −0.0274360 + 0.0475205i
\(760\) 3.45670e6 5.98717e6i 0.217084 0.376000i
\(761\) −7.49891e6 1.29885e7i −0.469393 0.813013i 0.529995 0.848001i \(-0.322194\pi\)
−0.999388 + 0.0349882i \(0.988861\pi\)
\(762\) −1.43422e6 −0.0894804
\(763\) −1.81915e7 1.18827e7i −1.13125 0.738932i
\(764\) −2.59984e7 −1.61144
\(765\) 266514. + 461616.i 0.0164652 + 0.0285186i
\(766\) −1.53268e6 + 2.65468e6i −0.0943800 + 0.163471i
\(767\) 361513. 626159.i 0.0221889 0.0384323i
\(768\) −3.82323e6 6.62203e6i −0.233898 0.405124i
\(769\) −1.85606e7 −1.13181 −0.565907 0.824469i \(-0.691474\pi\)
−0.565907 + 0.824469i