Properties

Label 36.6.h.a.11.8
Level 36
Weight 6
Character 36.11
Analytic conductor 5.774
Analytic rank 0
Dimension 56
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 36 = 2^{2} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 36.h (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.77381751327\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(28\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 11.8
Character \(\chi\) \(=\) 36.11
Dual form 36.6.h.a.23.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.91293 - 4.08522i) q^{2} +(-13.5204 - 7.75878i) q^{3} +(-1.37798 + 31.9703i) q^{4} +(-27.3241 + 15.7756i) q^{5} +(21.2081 + 85.5933i) q^{6} +(-2.81745 - 1.62665i) q^{7} +(135.998 - 119.468i) q^{8} +(122.603 + 209.804i) q^{9} +O(q^{10})\) \(q+(-3.91293 - 4.08522i) q^{2} +(-13.5204 - 7.75878i) q^{3} +(-1.37798 + 31.9703i) q^{4} +(-27.3241 + 15.7756i) q^{5} +(21.2081 + 85.5933i) q^{6} +(-2.81745 - 1.62665i) q^{7} +(135.998 - 119.468i) q^{8} +(122.603 + 209.804i) q^{9} +(171.364 + 49.8961i) q^{10} +(244.292 - 423.126i) q^{11} +(266.681 - 421.560i) q^{12} +(514.329 + 890.844i) q^{13} +(4.37923 + 17.8749i) q^{14} +(491.832 - 1.29066i) q^{15} +(-1020.20 - 88.1092i) q^{16} +544.497i q^{17} +(377.357 - 1321.81i) q^{18} +1086.90i q^{19} +(-466.698 - 895.298i) q^{20} +(25.4722 + 43.8530i) q^{21} +(-2684.46 + 657.677i) q^{22} +(969.831 + 1679.80i) q^{23} +(-2765.67 + 560.084i) q^{24} +(-1064.76 + 1844.22i) q^{25} +(1626.76 - 5586.95i) q^{26} +(-29.8209 - 3787.88i) q^{27} +(55.8870 - 87.8332i) q^{28} +(-271.322 - 156.648i) q^{29} +(-1929.78 - 2004.19i) q^{30} +(-4990.16 + 2881.07i) q^{31} +(3632.03 + 4512.51i) q^{32} +(-6585.87 + 3825.43i) q^{33} +(2224.39 - 2130.58i) q^{34} +102.646 q^{35} +(-6876.43 + 3630.54i) q^{36} +9789.25 q^{37} +(4440.21 - 4252.95i) q^{38} +(-42.0792 - 16035.1i) q^{39} +(-1831.33 + 5409.80i) q^{40} +(8802.77 - 5082.28i) q^{41} +(79.4780 - 275.653i) q^{42} +(16506.0 + 9529.76i) q^{43} +(13190.8 + 8393.16i) q^{44} +(-6659.78 - 3798.56i) q^{45} +(3067.45 - 10534.9i) q^{46} +(-11221.8 + 19436.8i) q^{47} +(13109.9 + 9106.79i) q^{48} +(-8398.21 - 14546.1i) q^{49} +(11700.4 - 2866.53i) q^{50} +(4224.63 - 7361.83i) q^{51} +(-29189.3 + 15215.7i) q^{52} +11691.5i q^{53} +(-15357.6 + 14943.5i) q^{54} +15415.4i q^{55} +(-577.499 + 115.374i) q^{56} +(8432.99 - 14695.3i) q^{57} +(421.723 + 1721.36i) q^{58} +(-19276.6 - 33388.1i) q^{59} +(-636.474 + 15725.8i) q^{60} +(3811.30 - 6601.36i) q^{61} +(31295.9 + 9112.46i) q^{62} +(-4.14910 - 790.543i) q^{63} +(4222.70 - 32494.8i) q^{64} +(-28107.2 - 16227.7i) q^{65} +(41397.7 + 11936.1i) q^{66} +(4430.73 - 2558.08i) q^{67} +(-17407.8 - 750.309i) q^{68} +(-79.3456 - 30236.2i) q^{69} +(-401.645 - 419.329i) q^{70} -65091.6 q^{71} +(41738.5 + 13885.7i) q^{72} +12156.6 q^{73} +(-38304.6 - 39991.2i) q^{74} +(28704.9 - 16673.4i) q^{75} +(-34748.4 - 1497.73i) q^{76} +(-1376.56 + 794.757i) q^{77} +(-65342.4 + 62916.3i) q^{78} +(64990.0 + 37522.0i) q^{79} +(29266.1 - 13686.8i) q^{80} +(-28986.1 + 51445.0i) q^{81} +(-55206.8 - 16074.6i) q^{82} +(-25579.5 + 44304.9i) q^{83} +(-1437.09 + 753.925i) q^{84} +(-8589.76 - 14877.9i) q^{85} +(-25655.8 - 104720. i) q^{86} +(2452.99 + 4223.07i) q^{87} +(-17327.0 - 86729.3i) q^{88} +126726. i q^{89} +(10541.3 + 42070.2i) q^{90} -3346.54i q^{91} +(-55040.0 + 28691.1i) q^{92} +(89822.5 - 235.711i) q^{93} +(123314. - 30211.1i) q^{94} +(-17146.4 - 29698.5i) q^{95} +(-14095.0 - 89191.1i) q^{96} +(-30959.8 + 53624.0i) q^{97} +(-26562.5 + 91226.4i) q^{98} +(118724. - 623.114i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 3q^{2} - q^{4} - 6q^{5} - 27q^{6} + 18q^{9} + O(q^{10}) \) \( 56q - 3q^{2} - q^{4} - 6q^{5} - 27q^{6} + 18q^{9} - 68q^{10} - 486q^{12} - 2q^{13} - 1518q^{14} - q^{16} + 1992q^{18} - 1242q^{20} + 330q^{21} + 63q^{22} + 2235q^{24} + 12498q^{25} - 2052q^{28} - 11946q^{29} - 6882q^{30} - 7233q^{32} + 17040q^{33} + 6361q^{34} + 6399q^{36} - 8q^{37} - 14877q^{38} - 1526q^{40} - 43536q^{41} + 18564q^{42} - 42q^{45} - 26880q^{46} - 5931q^{48} + 38414q^{49} + 38631q^{50} + 24988q^{52} + 37587q^{54} + 21186q^{56} - 90786q^{57} - 3314q^{58} + 60930q^{60} - 2q^{61} - 106342q^{64} + 35970q^{65} - 47838q^{66} + 31413q^{68} - 1854q^{69} + 10524q^{70} - 130941q^{72} + 53620q^{73} - 20406q^{74} + 26193q^{76} + 26178q^{77} - 96684q^{78} - 14790q^{81} - 151286q^{82} + 141630q^{84} + 6248q^{85} + 279237q^{86} - 122541q^{88} + 235278q^{90} + 435804q^{92} + 71838q^{93} + 63480q^{94} - 37476q^{96} - 58148q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/36\mathbb{Z}\right)^\times\).

\(n\) \(19\) \(29\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.91293 4.08522i −0.691715 0.722171i
\(3\) −13.5204 7.75878i −0.867335 0.497726i
\(4\) −1.37798 + 31.9703i −0.0430620 + 0.999072i
\(5\) −27.3241 + 15.7756i −0.488788 + 0.282202i −0.724072 0.689725i \(-0.757732\pi\)
0.235283 + 0.971927i \(0.424398\pi\)
\(6\) 21.2081 + 85.5933i 0.240505 + 0.970648i
\(7\) −2.81745 1.62665i −0.0217325 0.0125473i 0.489094 0.872231i \(-0.337327\pi\)
−0.510827 + 0.859684i \(0.670661\pi\)
\(8\) 135.998 119.468i 0.751288 0.659975i
\(9\) 122.603 + 209.804i 0.504538 + 0.863389i
\(10\) 171.364 + 49.8961i 0.541900 + 0.157785i
\(11\) 244.292 423.126i 0.608734 1.05436i −0.382715 0.923866i \(-0.625011\pi\)
0.991449 0.130492i \(-0.0416557\pi\)
\(12\) 266.681 421.560i 0.534613 0.845097i
\(13\) 514.329 + 890.844i 0.844078 + 1.46199i 0.886419 + 0.462883i \(0.153185\pi\)
−0.0423410 + 0.999103i \(0.513482\pi\)
\(14\) 4.37923 + 17.8749i 0.00597143 + 0.0243738i
\(15\) 491.832 1.29066i 0.564402 0.00148110i
\(16\) −1020.20 88.1092i −0.996291 0.0860441i
\(17\) 544.497i 0.456955i 0.973549 + 0.228478i \(0.0733748\pi\)
−0.973549 + 0.228478i \(0.926625\pi\)
\(18\) 377.357 1321.81i 0.274518 0.961582i
\(19\) 1086.90i 0.690724i 0.938470 + 0.345362i \(0.112244\pi\)
−0.938470 + 0.345362i \(0.887756\pi\)
\(20\) −466.698 895.298i −0.260892 0.500487i
\(21\) 25.4722 + 43.8530i 0.0126043 + 0.0216995i
\(22\) −2684.46 + 657.677i −1.18250 + 0.289705i
\(23\) 969.831 + 1679.80i 0.382275 + 0.662121i 0.991387 0.130964i \(-0.0418072\pi\)
−0.609112 + 0.793084i \(0.708474\pi\)
\(24\) −2765.67 + 560.084i −0.980104 + 0.198484i
\(25\) −1064.76 + 1844.22i −0.340724 + 0.590151i
\(26\) 1626.76 5586.95i 0.471943 1.62085i
\(27\) −29.8209 3787.88i −0.00787247 0.999969i
\(28\) 55.8870 87.8332i 0.0134715 0.0211721i
\(29\) −271.322 156.648i −0.0599087 0.0345883i 0.469746 0.882801i \(-0.344345\pi\)
−0.529655 + 0.848213i \(0.677679\pi\)
\(30\) −1929.78 2004.19i −0.391475 0.406570i
\(31\) −4990.16 + 2881.07i −0.932631 + 0.538455i −0.887643 0.460533i \(-0.847658\pi\)
−0.0449884 + 0.998988i \(0.514325\pi\)
\(32\) 3632.03 + 4512.51i 0.627011 + 0.779011i
\(33\) −6585.87 + 3825.43i −1.05276 + 0.611499i
\(34\) 2224.39 2130.58i 0.330000 0.316082i
\(35\) 102.646 0.0141635
\(36\) −6876.43 + 3630.54i −0.884315 + 0.466891i
\(37\) 9789.25 1.17556 0.587780 0.809021i \(-0.300002\pi\)
0.587780 + 0.809021i \(0.300002\pi\)
\(38\) 4440.21 4252.95i 0.498821 0.477784i
\(39\) −42.0792 16035.1i −0.00443003 1.68815i
\(40\) −1831.33 + 5409.80i −0.180974 + 0.534603i
\(41\) 8802.77 5082.28i 0.817823 0.472171i −0.0318420 0.999493i \(-0.510137\pi\)
0.849665 + 0.527322i \(0.176804\pi\)
\(42\) 79.4780 275.653i 0.00695222 0.0241123i
\(43\) 16506.0 + 9529.76i 1.36136 + 0.785979i 0.989804 0.142434i \(-0.0454928\pi\)
0.371551 + 0.928413i \(0.378826\pi\)
\(44\) 13190.8 + 8393.16i 1.02717 + 0.653572i
\(45\) −6659.78 3798.56i −0.490263 0.279633i
\(46\) 3067.45 10534.9i 0.213739 0.734067i
\(47\) −11221.8 + 19436.8i −0.741000 + 1.28345i 0.211040 + 0.977477i \(0.432315\pi\)
−0.952040 + 0.305973i \(0.901018\pi\)
\(48\) 13109.9 + 9106.79i 0.821291 + 0.570509i
\(49\) −8398.21 14546.1i −0.499685 0.865480i
\(50\) 11700.4 2866.53i 0.661874 0.162155i
\(51\) 4224.63 7361.83i 0.227438 0.396333i
\(52\) −29189.3 + 15215.7i −1.49698 + 0.780339i
\(53\) 11691.5i 0.571717i 0.958272 + 0.285858i \(0.0922787\pi\)
−0.958272 + 0.285858i \(0.907721\pi\)
\(54\) −15357.6 + 14943.5i −0.716703 + 0.697378i
\(55\) 15415.4i 0.687144i
\(56\) −577.499 + 115.374i −0.0246083 + 0.00491631i
\(57\) 8432.99 14695.3i 0.343791 0.599089i
\(58\) 421.723 + 1721.36i 0.0164610 + 0.0671895i
\(59\) −19276.6 33388.1i −0.720942 1.24871i −0.960622 0.277857i \(-0.910376\pi\)
0.239680 0.970852i \(1.57704\pi\)
\(60\) −636.474 + 15725.8i −0.0228246 + 0.563942i
\(61\) 3811.30 6601.36i 0.131144 0.227148i −0.792974 0.609256i \(-0.791468\pi\)
0.924118 + 0.382108i \(0.124802\pi\)
\(62\) 31295.9 + 9112.46i 1.03397 + 0.301062i
\(63\) −4.14910 790.543i −0.000131705 0.0250942i
\(64\) 4222.70 32494.8i 0.128867 0.991662i
\(65\) −28107.2 16227.7i −0.825151 0.476401i
\(66\) 41397.7 + 11936.1i 1.16981 + 0.337288i
\(67\) 4430.73 2558.08i 0.120584 0.0696189i −0.438495 0.898734i \(-0.644488\pi\)
0.559079 + 0.829115i \(0.311155\pi\)
\(68\) −17407.8 750.309i −0.456531 0.0196774i
\(69\) −79.3456 30236.2i −0.00200632 0.764548i
\(70\) −401.645 419.329i −0.00979709 0.0102285i
\(71\) −65091.6 −1.53242 −0.766212 0.642588i \(-0.777861\pi\)
−0.766212 + 0.642588i \(0.777861\pi\)
\(72\) 41738.5 + 13885.7i 0.948869 + 0.315671i
\(73\) 12156.6 0.266996 0.133498 0.991049i \(-0.457379\pi\)
0.133498 + 0.991049i \(0.457379\pi\)
\(74\) −38304.6 39991.2i −0.813152 0.848956i
\(75\) 28704.9 16673.4i 0.589255 0.342272i
\(76\) −34748.4 1497.73i −0.690083 0.0297440i
\(77\) −1376.56 + 794.757i −0.0264587 + 0.0152759i
\(78\) −65342.4 + 62916.3i −1.21607 + 1.17092i
\(79\) 64990.0 + 37522.0i 1.17160 + 0.676423i 0.954056 0.299628i \(-0.0968626\pi\)
0.217542 + 0.976051i \(0.430196\pi\)
\(80\) 29266.1 13686.8i 0.511257 0.239098i
\(81\) −28986.1 + 51445.0i −0.490882 + 0.871226i
\(82\) −55206.8 16074.6i −0.906688 0.264001i
\(83\) −25579.5 + 44304.9i −0.407564 + 0.705922i −0.994616 0.103627i \(-0.966955\pi\)
0.587052 + 0.809549i \(0.300289\pi\)
\(84\) −1437.09 + 753.925i −0.0222222 + 0.0116582i
\(85\) −8589.76 14877.9i −0.128954 0.223354i
\(86\) −25655.8 104720.i −0.374058 1.52680i
\(87\) 2452.99 + 4223.07i 0.0347454 + 0.0598177i
\(88\) −17327.0 86729.3i −0.238515 1.19388i
\(89\) 126726.i 1.69587i 0.530104 + 0.847933i \(0.322153\pi\)
−0.530104 + 0.847933i \(0.677847\pi\)
\(90\) 10541.3 + 42070.2i 0.137179 + 0.547480i
\(91\) 3346.54i 0.0423636i
\(92\) −55040.0 + 28691.1i −0.677968 + 0.353409i
\(93\) 89822.5 235.711i 1.07691 0.00282601i
\(94\) 123314. 30211.1i 1.43943 0.352652i
\(95\) −17146.4 29698.5i −0.194924 0.337618i
\(96\) −14095.0 89191.1i −0.156094 0.987742i
\(97\) −30959.8 + 53624.0i −0.334094 + 0.578668i −0.983310 0.181936i \(-0.941764\pi\)
0.649216 + 0.760604i \(0.275097\pi\)
\(98\) −26562.5 + 91226.4i −0.279385 + 0.959523i
\(99\) 118724. 623.114i 1.21745 0.00638969i
\(100\) −57493.2 36582.1i −0.574932 0.365821i
\(101\) 75740.7 + 43728.9i 0.738798 + 0.426545i 0.821632 0.570018i \(-0.193064\pi\)
−0.0828340 + 0.996563i \(0.526397\pi\)
\(102\) −46605.3 + 11547.8i −0.443543 + 0.109900i
\(103\) 92372.6 53331.3i 0.857926 0.495324i −0.00539101 0.999985i \(-0.501716\pi\)
0.863317 + 0.504661i \(0.168383\pi\)
\(104\) 176375. + 59706.7i 1.59902 + 0.541302i
\(105\) −1387.81 796.404i −0.0122845 0.00704953i
\(106\) 47762.3 45748.0i 0.412877 0.395465i
\(107\) 26946.6 0.227533 0.113767 0.993508i \(-0.463708\pi\)
0.113767 + 0.993508i \(0.463708\pi\)
\(108\) 121141. + 4266.25i 0.999380 + 0.0351955i
\(109\) 71302.9 0.574832 0.287416 0.957806i \(-0.407204\pi\)
0.287416 + 0.957806i \(0.407204\pi\)
\(110\) 62975.2 60319.3i 0.496235 0.475307i
\(111\) −132355. 75952.6i −1.01960 0.585107i
\(112\) 2731.04 + 1907.76i 0.0205723 + 0.0143707i
\(113\) 32800.9 18937.6i 0.241651 0.139517i −0.374284 0.927314i \(-0.622112\pi\)
0.615935 + 0.787797i \(0.288778\pi\)
\(114\) −93031.1 + 23051.0i −0.670450 + 0.166122i
\(115\) −52999.5 30599.3i −0.373704 0.215758i
\(116\) 5381.96 8458.39i 0.0371360 0.0583637i
\(117\) −123844. + 217128.i −0.836394 + 1.46640i
\(118\) −60969.5 + 209394.i −0.403095 + 1.38439i
\(119\) 885.709 1534.09i 0.00573355 0.00993080i
\(120\) 66733.8 58933.8i 0.423051 0.373604i
\(121\) −38831.7 67258.5i −0.241114 0.417622i
\(122\) −41881.3 + 10260.7i −0.254754 + 0.0624132i
\(123\) −158449. + 415.801i −0.944338 + 0.00247812i
\(124\) −85232.3 163507.i −0.497794 0.954953i
\(125\) 165786.i 0.949016i
\(126\) −3213.30 + 3110.29i −0.0180312 + 0.0174532i
\(127\) 66387.5i 0.365239i 0.983184 + 0.182619i \(0.0584576\pi\)
−0.983184 + 0.182619i \(0.941542\pi\)
\(128\) −149271. + 109899.i −0.805288 + 0.592883i
\(129\) −149229. 256913.i −0.789548 1.35929i
\(130\) 43687.7 + 178322.i 0.226726 + 0.925434i
\(131\) 28167.3 + 48787.1i 0.143406 + 0.248386i 0.928777 0.370639i \(-0.120861\pi\)
−0.785371 + 0.619025i \(0.787528\pi\)
\(132\) −113225. 215824.i −0.565598 1.07811i
\(133\) 1768.01 3062.27i 0.00866671 0.0150112i
\(134\) −27787.4 8090.89i −0.133686 0.0389255i
\(135\) 60570.8 + 103030.i 0.286041 + 0.486552i
\(136\) 65050.1 + 74050.4i 0.301579 + 0.343305i
\(137\) −364985. 210724.i −1.66140 0.959207i −0.972050 0.234775i \(-0.924565\pi\)
−0.689346 0.724432i \(-0.742102\pi\)
\(138\) −123211. + 118636.i −0.550747 + 0.530298i
\(139\) −332509. + 191974.i −1.45971 + 0.842764i −0.998997 0.0447857i \(-0.985739\pi\)
−0.460713 + 0.887549i \(0.652406\pi\)
\(140\) −141.444 + 3281.61i −0.000609908 + 0.0141503i
\(141\) 302529. 175725.i 1.28150 0.744366i
\(142\) 254699. + 265913.i 1.06000 + 1.10667i
\(143\) 502586. 2.05528
\(144\) −106594. 224845.i −0.428378 0.903600i
\(145\) 9884.83 0.0390435
\(146\) −47567.9 49662.3i −0.184685 0.192817i
\(147\) 687.090 + 261829.i 0.00262253 + 0.999367i
\(148\) −13489.4 + 312965.i −0.0506220 + 1.17447i
\(149\) 283272. 163547.i 1.04529 0.603499i 0.123964 0.992287i \(-0.460439\pi\)
0.921327 + 0.388788i \(0.127106\pi\)
\(150\) −180435. 52024.1i −0.654775 0.188789i
\(151\) −376668. 217470.i −1.34436 0.776169i −0.356919 0.934135i \(-0.616173\pi\)
−0.987444 + 0.157967i \(0.949506\pi\)
\(152\) 129850. + 147815.i 0.455860 + 0.518932i
\(153\) −114238. + 66756.9i −0.394530 + 0.230551i
\(154\) 8633.13 + 2513.72i 0.0293337 + 0.00854111i
\(155\) 90901.0 157445.i 0.303906 0.526381i
\(156\) 512706. + 20750.9i 1.68678 + 0.0682692i
\(157\) −6799.06 11776.3i −0.0220140 0.0381294i 0.854809 0.518944i \(-0.173675\pi\)
−0.876823 + 0.480814i \(0.840341\pi\)
\(158\) −101016. 412319.i −0.321919 1.31399i
\(159\) 90711.8 158074.i 0.284558 0.495870i
\(160\) −170429. 66002.9i −0.526314 0.203828i
\(161\) 6310.32i 0.0191861i
\(162\) 323585. 82886.2i 0.968724 0.248139i
\(163\) 473364.i 1.39549i −0.716347 0.697744i \(-0.754187\pi\)
0.716347 0.697744i \(-0.245813\pi\)
\(164\) 150352. + 288431.i 0.436515 + 0.837397i
\(165\) 119605. 208422.i 0.342009 0.595984i
\(166\) 281086. 68864.4i 0.791715 0.193966i
\(167\) 74868.1 + 129675.i 0.207733 + 0.359804i 0.951000 0.309191i \(-0.100058\pi\)
−0.743267 + 0.668995i \(0.766725\pi\)
\(168\) 8703.19 + 2920.78i 0.0237906 + 0.00798410i
\(169\) −343422. + 594825.i −0.924936 + 1.60204i
\(170\) −27168.3 + 93307.2i −0.0721009 + 0.247624i
\(171\) −228035. + 133257.i −0.596364 + 0.348497i
\(172\) −327414. + 514571.i −0.843872 + 1.32625i
\(173\) 147188. + 84978.9i 0.373901 + 0.215872i 0.675161 0.737670i \(-0.264074\pi\)
−0.301260 + 0.953542i \(0.597407\pi\)
\(174\) 7653.78 26545.5i 0.0191647 0.0664689i
\(175\) 5999.82 3464.00i 0.0148096 0.00855033i
\(176\) −286509. + 410150.i −0.697198 + 0.998070i
\(177\) 1577.09 + 600983.i 0.00378377 + 1.44188i
\(178\) 517704. 495870.i 1.22470 1.17305i
\(179\) 91825.1 0.214205 0.107102 0.994248i \(-0.465843\pi\)
0.107102 + 0.994248i \(0.465843\pi\)
\(180\) 130618. 207681.i 0.300485 0.477766i
\(181\) 640763. 1.45379 0.726893 0.686750i \(-0.240963\pi\)
0.726893 + 0.686750i \(0.240963\pi\)
\(182\) −13671.3 + 13094.8i −0.0305938 + 0.0293035i
\(183\) −102749. + 59682.1i −0.226803 + 0.131740i
\(184\) 332577. + 112584.i 0.724182 + 0.245151i
\(185\) −267482. + 154431.i −0.574600 + 0.331746i
\(186\) −352432. 366022.i −0.746952 0.775756i
\(187\) 230391. + 133016.i 0.481794 + 0.278164i
\(188\) −605936. 385549.i −1.25035 0.795581i
\(189\) −6077.55 + 10720.7i −0.0123758 + 0.0218307i
\(190\) −54232.0 + 186255.i −0.108986 + 0.374303i
\(191\) 138848. 240492.i 0.275395 0.476998i −0.694840 0.719165i \(-0.744525\pi\)
0.970235 + 0.242167i \(0.0778581\pi\)
\(192\) −309212. + 406580.i −0.605346 + 0.795962i
\(193\) −432677. 749418.i −0.836123 1.44821i −0.893113 0.449833i \(-0.851484\pi\)
0.0569898 0.998375i \(-0.481850\pi\)
\(194\) 340209. 83349.2i 0.648995 0.159000i
\(195\) 254113. + 437482.i 0.478565 + 0.823898i
\(196\) 476617. 248449.i 0.886195 0.461952i
\(197\) 246048.i 0.451705i 0.974162 + 0.225852i \(0.0725167\pi\)
−0.974162 + 0.225852i \(0.927483\pi\)
\(198\) −467105. 482576.i −0.846743 0.874788i
\(199\) 283324.i 0.507166i −0.967314 0.253583i \(-0.918391\pi\)
0.967314 0.253583i \(-0.0816091\pi\)
\(200\) 75520.8 + 378015.i 0.133503 + 0.668243i
\(201\) −79752.8 + 209.286i −0.139237 + 0.000365385i
\(202\) −117726. 480525.i −0.202999 0.828586i
\(203\) 509.623 + 882.693i 0.000867979 + 0.00150338i
\(204\) 229538. + 145207.i 0.386171 + 0.244294i
\(205\) −160352. + 277737.i −0.266495 + 0.461583i
\(206\) −579317. 168680.i −0.951149 0.276947i
\(207\) −233523. + 409422.i −0.378795 + 0.664118i
\(208\) −446228. 954158.i −0.715152 1.52919i
\(209\) 459895. + 265520.i 0.728270 + 0.420467i
\(210\) 2176.92 + 8785.78i 0.00340639 + 0.0137478i
\(211\) 369932. 213580.i 0.572025 0.330259i −0.185932 0.982563i \(-0.559531\pi\)
0.757958 + 0.652303i \(0.226197\pi\)
\(212\) −373781. 16110.7i −0.571186 0.0246193i
\(213\) 880064. + 505031.i 1.32912 + 0.762727i
\(214\) −105440. 110083.i −0.157388 0.164318i
\(215\) −601350. −0.887219
\(216\) −456586. 511580.i −0.665869 0.746069i
\(217\) 18746.0 0.0270246
\(218\) −279003. 291288.i −0.397620 0.415127i
\(219\) −164362. 94320.3i −0.231575 0.132891i
\(220\) −492835. 21242.2i −0.686507 0.0295898i
\(221\) −485062. + 280051.i −0.668062 + 0.385706i
\(222\) 207611. + 837894.i 0.282728 + 1.14106i
\(223\) 785917. + 453749.i 1.05831 + 0.611018i 0.924965 0.380051i \(-0.124094\pi\)
0.133349 + 0.991069i \(0.457427\pi\)
\(224\) −2892.77 18621.8i −0.00385206 0.0247972i
\(225\) −517467. + 2715.88i −0.681439 + 0.00357647i
\(226\) −205711. 59897.2i −0.267909 0.0780073i
\(227\) −195847. + 339217.i −0.252262 + 0.436931i −0.964148 0.265364i \(-0.914508\pi\)
0.711886 + 0.702295i \(0.247841\pi\)
\(228\) 458193. + 289855.i 0.583729 + 0.369270i
\(229\) −240738. 416970.i −0.303358 0.525432i 0.673536 0.739154i \(-0.264775\pi\)
−0.976894 + 0.213722i \(0.931441\pi\)
\(230\) 82378.6 + 336247.i 0.102682 + 0.419121i
\(231\) 24778.0 65.0221i 0.0305517 8.01736e-5i
\(232\) −55613.5 + 11110.6i −0.0678361 + 0.0135525i
\(233\) 506837.i 0.611615i −0.952093 0.305808i \(-0.901074\pi\)
0.952093 0.305808i \(-0.0989265\pi\)
\(234\) 1.37161e6 343677.i 1.63753 0.410308i
\(235\) 708122.i 0.836447i
\(236\) 1.09399e6 570271.i 1.27860 0.666502i
\(237\) −587566. 1.01156e6i −0.679495 1.16982i
\(238\) −9732.81 + 2384.48i −0.0111377 + 0.00272867i
\(239\) −150130. 260032.i −0.170009 0.294464i 0.768414 0.639953i \(-0.221046\pi\)
−0.938423 + 0.345489i \(0.887713\pi\)
\(240\) −501882. 42018.2i −0.562436 0.0470879i
\(241\) −266947. + 462366.i −0.296062 + 0.512795i −0.975231 0.221187i \(-0.929007\pi\)
0.679169 + 0.733982i \(0.262340\pi\)
\(242\) −122820. + 421813.i −0.134812 + 0.463001i
\(243\) 791054. 470661.i 0.859391 0.511320i
\(244\) 205796. + 130945.i 0.221290 + 0.140804i
\(245\) 458947. + 264973.i 0.488480 + 0.282024i
\(246\) 621699. + 645672.i 0.655002 + 0.680259i
\(247\) −968256. + 559023.i −1.00983 + 0.583025i
\(248\) −334453. + 987983.i −0.345308 + 1.02005i
\(249\) 689597. 400555.i 0.704850 0.409416i
\(250\) −677273. + 648710.i −0.685352 + 0.656448i
\(251\) −1.40288e6 −1.40551 −0.702757 0.711430i \(-0.748048\pi\)
−0.702757 + 0.711430i \(0.748048\pi\)
\(252\) 25279.6 + 956.708i 0.0250766 + 0.000949025i
\(253\) 947688. 0.930816
\(254\) 271207. 259769.i 0.263765 0.252641i
\(255\) 702.761 + 267801.i 0.000676795 + 0.257906i
\(256\) 1.03305e6 + 179778.i 0.985193 + 0.171450i
\(257\) −837694. + 483643.i −0.791139 + 0.456764i −0.840363 0.542024i \(-0.817658\pi\)
0.0492245 + 0.998788i \(0.484325\pi\)
\(258\) −465622. + 1.61491e6i −0.435496 + 1.51043i
\(259\) −27580.7 15923.7i −0.0255479 0.0147501i
\(260\) 557535. 876233.i 0.511492 0.803871i
\(261\) −399.560 76129.8i −0.000363062 0.0691756i
\(262\) 89089.5 305970.i 0.0801814 0.275376i
\(263\) 464267. 804134.i 0.413884 0.716868i −0.581427 0.813599i \(-0.697505\pi\)
0.995311 + 0.0967310i \(0.0308387\pi\)
\(264\) −438645. + 1.30705e6i −0.387350 + 1.15420i
\(265\) −184440. 319460.i −0.161340 0.279448i
\(266\) −19428.1 + 4759.78i −0.0168355 + 0.00412461i
\(267\) 983240. 1.71339e6i 0.844076 1.47088i
\(268\) 75677.2 + 145177.i 0.0643618 + 0.123470i
\(269\) 1.21595e6i 1.02455i −0.858820 0.512277i \(-0.828802\pi\)
0.858820 0.512277i \(-0.171198\pi\)
\(270\) 183890. 650593.i 0.153514 0.543125i
\(271\) 2.02493e6i 1.67489i 0.546520 + 0.837446i \(0.315952\pi\)
−0.546520 + 0.837446i \(0.684048\pi\)
\(272\) 47975.2 555498.i 0.0393183 0.455260i
\(273\) −25965.1 + 45246.6i −0.0210854 + 0.0367434i
\(274\) 567306. + 2.31559e6i 0.456500 + 1.86331i
\(275\) 520226. + 901058.i 0.414821 + 0.718490i
\(276\) 966771. + 39128.3i 0.763926 + 0.0309185i
\(277\) 192874. 334068.i 0.151034 0.261599i −0.780574 0.625064i \(-0.785073\pi\)
0.931608 + 0.363465i \(0.118406\pi\)
\(278\) 2.08534e6 + 607190.i 1.61832 + 0.471208i
\(279\) −1.21627e6 693726.i −0.935444 0.533553i
\(280\) 13959.6 12262.9i 0.0106409 0.00934754i
\(281\) −142638. 82351.9i −0.107763 0.0622168i 0.445150 0.895456i \(-0.353150\pi\)
−0.552913 + 0.833239i \(0.686484\pi\)
\(282\) −1.90165e6 548296.i −1.42399 0.410575i
\(283\) 441868. 255113.i 0.327964 0.189350i −0.326973 0.945034i \(-0.606029\pi\)
0.654937 + 0.755684i \(0.272695\pi\)
\(284\) 89695.1 2.08100e6i 0.0659892 1.53100i
\(285\) 1402.81 + 534571.i 0.00102303 + 0.389846i
\(286\) −1.96658e6 2.05317e6i −1.42166 1.48426i
\(287\) −33068.4 −0.0236978
\(288\) −501444. + 1.31526e6i −0.356239 + 0.934395i
\(289\) 1.12338e6 0.791192
\(290\) −38678.6 40381.7i −0.0270070 0.0281961i
\(291\) 834646. 484808.i 0.577790 0.335612i
\(292\) −16751.6 + 388650.i −0.0114974 + 0.266749i
\(293\) 1.02752e6 593241.i 0.699234 0.403703i −0.107828 0.994170i \(-0.534390\pi\)
0.807062 + 0.590467i \(0.201056\pi\)
\(294\) 1.06694e6 1.02733e6i 0.719900 0.693170i
\(295\) 1.05343e6 + 608199.i 0.704776 + 0.406903i
\(296\) 1.33131e6 1.16950e6i 0.883184 0.775840i
\(297\) −1.61004e6 912730.i −1.05912 0.600415i
\(298\) −1.77655e6 517278.i −1.15887 0.337430i
\(299\) −997625. + 1.72794e6i −0.645341 + 1.11776i
\(300\) 493499. + 940681.i 0.316580 + 0.603447i
\(301\) −31003.2 53699.2i −0.0197238 0.0341626i
\(302\) 585466. + 2.38971e6i 0.369389 + 1.50775i
\(303\) −684762. 1.17889e6i −0.428483 0.737676i
\(304\) 95765.6 1.10885e6i 0.0594327 0.688162i
\(305\) 240502.i 0.148036i
\(306\) 719720. + 205470.i 0.439400 + 0.125443i
\(307\) 1.41312e6i 0.855724i 0.903844 + 0.427862i \(0.140733\pi\)
−0.903844 + 0.427862i \(0.859267\pi\)
\(308\) −23511.8 45104.2i −0.0141224 0.0270920i
\(309\) −1.66270e6 + 4363.24i −0.990645 + 0.00259964i
\(310\) −998887. + 244721.i −0.590353 + 0.144633i
\(311\) −315266. 546057.i −0.184832 0.320138i 0.758688 0.651454i \(-0.225841\pi\)
−0.943520 + 0.331316i \(0.892507\pi\)
\(312\) −1.92141e6 2.17571e6i −1.11747 1.26536i
\(313\) 197240. 341630.i 0.113798 0.197104i −0.803501 0.595304i \(-0.797032\pi\)
0.917299 + 0.398200i \(0.130365\pi\)
\(314\) −21504.6 + 73855.5i −0.0123085 + 0.0422726i
\(315\) 12584.6 + 21535.4i 0.00714602 + 0.0122286i
\(316\) −1.28915e6 + 2.02605e6i −0.726247 + 1.14138i
\(317\) 141567. + 81733.6i 0.0791249 + 0.0456828i 0.539040 0.842280i \(-0.318787\pi\)
−0.459916 + 0.887963i \(0.652120\pi\)
\(318\) −1.00072e6 + 247955.i −0.554936 + 0.137501i
\(319\) −132564. + 76535.6i −0.0729369 + 0.0421101i
\(320\) 397242. + 954506.i 0.216861 + 0.521079i
\(321\) −364329. 209073.i −0.197347 0.113249i
\(322\) −25779.0 + 24691.8i −0.0138556 + 0.0132713i
\(323\) −591813. −0.315630
\(324\) −1.60477e6 997585.i −0.849279 0.527944i
\(325\) −2.19055e6 −1.15039
\(326\) −1.93379e6 + 1.85224e6i −1.00778 + 0.965279i
\(327\) −964044. 553223.i −0.498572 0.286109i
\(328\) 589984. 1.74283e6i 0.302800 0.894479i
\(329\) 63233.7 36508.0i 0.0322077 0.0185951i
\(330\) −1.31945e6 + 326931.i −0.666975 + 0.165261i
\(331\) −696109. 401899.i −0.349227 0.201626i 0.315118 0.949053i \(-0.397956\pi\)
−0.664345 + 0.747426i \(0.731289\pi\)
\(332\) −1.38119e6 878835.i −0.687717 0.437585i
\(333\) 1.20019e6 + 2.05382e6i 0.593115 + 1.01497i
\(334\) 236798. 813262.i 0.116148 0.398900i
\(335\) −80710.4 + 139795.i −0.0392932 + 0.0680578i
\(336\) −22122.9 46983.2i −0.0106904 0.0227036i
\(337\) 763890. + 1.32310e6i 0.366400 + 0.634624i 0.989000 0.147917i \(-0.0472567\pi\)
−0.622599 + 0.782541i \(0.713923\pi\)
\(338\) 3.77378e6 924553.i 1.79674 0.440190i
\(339\) −590413. + 1549.36i −0.279034 + 0.000732238i
\(340\) 487488. 254116.i 0.228700 0.119216i
\(341\) 2.81529e6i 1.31110i
\(342\) 1.43667e6 + 410148.i 0.664188 + 0.189616i
\(343\) 109322.i 0.0501734i
\(344\) 3.38328e6 675921.i 1.54150 0.307964i
\(345\) 479162. + 824926.i 0.216738 + 0.373136i
\(346\) −228778. 933810.i −0.102736 0.419342i
\(347\) −423222. 733041.i −0.188688 0.326817i 0.756125 0.654427i \(-0.227090\pi\)
−0.944813 + 0.327610i \(0.893757\pi\)
\(348\) −138393. + 72603.5i −0.0612584 + 0.0321373i
\(349\) 194050. 336105.i 0.0852807 0.147711i −0.820230 0.572034i \(-0.806155\pi\)
0.905511 + 0.424323i \(0.139488\pi\)
\(350\) −37628.1 10956.2i −0.0164188 0.00478068i
\(351\) 3.35907e6 1.97478e6i 1.45530 0.855562i
\(352\) 2.79664e6 434438.i 1.20304 0.186884i
\(353\) 1.34326e6 + 775534.i 0.573753 + 0.331256i 0.758647 0.651502i \(-0.225861\pi\)
−0.184894 + 0.982758i \(0.559194\pi\)
\(354\) 2.44898e6 2.35805e6i 1.03867 1.00010i
\(355\) 1.77857e6 1.02686e6i 0.749031 0.432453i
\(356\) −4.05148e6 174627.i −1.69429 0.0730274i
\(357\) −23877.8 + 13869.5i −0.00991572 + 0.00575959i
\(358\) −359305. 375125.i −0.148168 0.154692i
\(359\) 3.63496e6 1.48855 0.744275 0.667873i \(-0.232795\pi\)
0.744275 + 0.667873i \(0.232795\pi\)
\(360\) −1.35952e6 + 279037.i −0.552879 + 0.113476i
\(361\) 1.29475e6 0.522901
\(362\) −2.50726e6 2.61765e6i −1.00561 1.04988i
\(363\) 3176.97 + 1.21065e6i 0.00126545 + 0.482227i
\(364\) 106990. + 4611.48i 0.0423243 + 0.00182426i
\(365\) −332168. + 191777.i −0.130505 + 0.0753469i
\(366\) 645863. + 186219.i 0.252022 + 0.0726645i
\(367\) 366486. + 211591.i 0.142034 + 0.0820033i 0.569333 0.822107i \(-0.307202\pi\)
−0.427299 + 0.904110i \(0.640535\pi\)
\(368\) −841418. 1.79918e6i −0.323886 0.692558i
\(369\) 2.14552e6 + 1.22375e6i 0.820290 + 0.467872i
\(370\) 1.67752e6 + 488446.i 0.637036 + 0.185486i
\(371\) 19018.0 32940.2i 0.00717350 0.0124249i
\(372\) −116238. + 2.87198e6i −0.0435504 + 1.07603i
\(373\) 1.65892e6 + 2.87333e6i 0.617380 + 1.06933i 0.989962 + 0.141334i \(0.0451391\pi\)
−0.372582 + 0.927999i \(0.621528\pi\)
\(374\) −358103. 1.46168e6i −0.132382 0.540348i
\(375\) −1.28630e6 + 2.24150e6i −0.472350 + 0.823114i
\(376\) 795934. + 3.98400e6i 0.290340 + 1.45328i
\(377\) 322274.i 0.116781i
\(378\) 67577.2 17121.1i 0.0243260 0.00616312i
\(379\) 2.75509e6i 0.985230i −0.870247 0.492615i \(-0.836041\pi\)
0.870247 0.492615i \(-0.163959\pi\)
\(380\) 973097. 507253.i 0.345698 0.180204i
\(381\) 515086. 897586.i 0.181789 0.316784i
\(382\) −1.52576e6 + 373803.i −0.534969 + 0.131064i
\(383\) 341107. + 590814.i 0.118821 + 0.205804i 0.919301 0.393556i \(-0.128755\pi\)
−0.800480 + 0.599360i \(0.795422\pi\)
\(384\) 2.87089e6 327718.i 0.993548 0.113415i
\(385\) 25075.5 43432.0i 0.00862180 0.0149334i
\(386\) −1.36850e6 + 4.70000e6i −0.467495 + 1.60557i
\(387\) 24307.5 + 4.63140e6i 0.00825017 + 1.57194i
\(388\) −1.67171e6 1.06369e6i −0.563745 0.358703i
\(389\) −4.49750e6 2.59663e6i −1.50694 0.870034i −0.999967 0.00807397i \(-0.997430\pi\)
−0.506976 0.861960i \(-0.669237\pi\)
\(390\) 792881. 2.74994e6i 0.263965 0.915508i
\(391\) −914645. + 528070.i −0.302559 + 0.174683i
\(392\) −2.87994e6 974919.i −0.946602 0.320445i
\(393\) −2304.47 878166.i −0.000752645 0.286810i
\(394\) 1.00516e6 962769.i 0.326208 0.312451i
\(395\) −2.36772e6 −0.763551
\(396\) −143679. + 3.79651e6i −0.0460421 + 1.21660i
\(397\) −4.32179e6 −1.37622 −0.688109 0.725607i \(-0.741559\pi\)
−0.688109 + 0.725607i \(0.741559\pi\)
\(398\) −1.15744e6 + 1.10862e6i −0.366261 + 0.350814i
\(399\) −47663.6 + 27685.6i −0.0149884 + 0.00870608i
\(400\) 1.24877e6 1.78767e6i 0.390239 0.558645i
\(401\) 2.13586e6 1.23314e6i 0.663302 0.382958i −0.130232 0.991484i \(-0.541572\pi\)
0.793534 + 0.608526i \(0.208239\pi\)
\(402\) 312922. + 324989.i 0.0965764 + 0.100300i
\(403\) −5.13317e6 2.96363e6i −1.57443 0.908996i
\(404\) −1.50240e6 + 2.36120e6i −0.457964 + 0.719745i
\(405\) −19555.7 1.86296e6i −0.00592429 0.564373i
\(406\) 1611.87 5535.84i 0.000485306 0.00166674i
\(407\) 2.39143e6 4.14209e6i 0.715604 1.23946i
\(408\) −304964. 1.50590e6i −0.0906981 0.447864i
\(409\) −1.88785e6 3.26985e6i −0.558031 0.966538i −0.997661 0.0683591i \(-0.978224\pi\)
0.439630 0.898179i \(-0.355110\pi\)
\(410\) 1.76206e6 431695.i 0.517680 0.126829i
\(411\) 3.29978e6 + 5.68091e6i 0.963564 + 1.65887i
\(412\) 1.57773e6 + 3.02667e6i 0.457920 + 0.878460i
\(413\) 125425.i 0.0361835i
\(414\) 2.58634e6 648045.i 0.741625 0.185825i
\(415\) 1.61412e6i 0.460062i
\(416\) −2.15188e6 + 5.55649e6i −0.609657 + 1.57423i
\(417\) 5.98514e6 15706.1i 1.68552 0.00442313i
\(418\) −714827. 2.91773e6i −0.200106 0.816779i
\(419\) −984571. 1.70533e6i −0.273976 0.474540i 0.695901 0.718138i \(-0.255005\pi\)
−0.969876 + 0.243598i \(0.921672\pi\)
\(420\) 27373.7 43271.3i 0.00757199 0.0119695i
\(421\) 437124. 757121.i 0.120199 0.208190i −0.799647 0.600470i \(-0.794980\pi\)
0.919846 + 0.392280i \(0.128314\pi\)
\(422\) −2.32004e6 675527.i −0.634182 0.184655i
\(423\) −5.45373e6 + 28623.4i −1.48198 + 0.00777805i
\(424\) 1.39676e6 + 1.59002e6i 0.377319 + 0.429524i
\(425\) −1.00417e6 579760.i −0.269673 0.155696i
\(426\) −1.38047e6 5.57140e6i −0.368555 1.48744i
\(427\) −21476.3 + 12399.3i −0.00570019 + 0.00329100i
\(428\) −37132.0 + 861492.i −0.00979803 + 0.227322i
\(429\) −6.79517e6 3.89945e6i −1.78261 1.02296i
\(430\) 2.35304e6 + 2.45664e6i 0.613702 + 0.640724i
\(431\) 1.70261e6 0.441492 0.220746 0.975331i \(-0.429151\pi\)
0.220746 + 0.975331i \(0.429151\pi\)
\(432\) −303324. + 3.86703e6i −0.0781982 + 0.996938i
\(433\) −1.19651e6 −0.306688 −0.153344 0.988173i \(-0.549004\pi\)
−0.153344 + 0.988173i \(0.549004\pi\)
\(434\) −73351.8 76581.5i −0.0186933 0.0195164i
\(435\) −133647. 76694.2i −0.0338638 0.0194330i
\(436\) −98254.3 + 2.27958e6i −0.0247534 + 0.574299i
\(437\) −1.82577e6 + 1.05411e6i −0.457342 + 0.264047i
\(438\) 257819. + 1.04052e6i 0.0642139 + 0.259159i
\(439\) 2.13579e6 + 1.23310e6i 0.528929 + 0.305377i 0.740580 0.671968i \(-0.234551\pi\)
−0.211651 + 0.977345i \(0.567884\pi\)
\(440\) 1.84165e6 + 2.09646e6i 0.453498 + 0.516243i
\(441\) 2.02219e6 3.54537e6i 0.495136 0.868091i
\(442\) 3.04208e6 + 885766.i 0.740654 + 0.215657i
\(443\) −2.45760e6 + 4.25669e6i −0.594980 + 1.03054i 0.398570 + 0.917138i \(0.369507\pi\)
−0.993550 + 0.113397i \(0.963827\pi\)
\(444\) 2.61061e6 4.12676e6i 0.628470 0.993462i
\(445\) −1.99918e6 3.46268e6i −0.478577 0.828919i
\(446\) −1.22157e6 4.98613e6i −0.290792 1.18693i
\(447\) −5.09887e6 + 13380.4i −1.20699 + 0.00316738i
\(448\) −64755.0 + 84683.4i −0.0152433 + 0.0199344i
\(449\) 95563.2i 0.0223705i −0.999937 0.0111852i \(-0.996440\pi\)
0.999937 0.0111852i \(-0.00356044\pi\)
\(450\) 2.03591e6 + 2.10334e6i 0.473944 + 0.489641i
\(451\) 4.96624e6i 1.14971i
\(452\) 560241. + 1.07475e6i 0.128982 + 0.247435i
\(453\) 3.40541e6 + 5.86276e6i 0.779694 + 1.34232i
\(454\) 2.15211e6 527254.i 0.490032 0.120055i
\(455\) 52793.6 + 91441.2i 0.0119551 + 0.0207068i
\(456\) −608753. 3.00600e6i −0.137097 0.676981i
\(457\) 1.65475e6 2.86612e6i 0.370632 0.641953i −0.619031 0.785366i \(-0.712475\pi\)
0.989663 + 0.143414i \(0.0458079\pi\)
\(458\) −761424. + 2.61504e6i −0.169614 + 0.582526i
\(459\) 2.06249e6 16237.4i 0.456941 0.00359736i
\(460\) 1.05130e6 1.65225e6i 0.231650 0.364066i
\(461\) −523886. 302466.i −0.114811 0.0662863i 0.441495 0.897264i \(-0.354448\pi\)
−0.556306 + 0.830978i \(0.687782\pi\)
\(462\) −97220.1 100969.i −0.0211910 0.0220081i
\(463\) 813063. 469422.i 0.176267 0.101768i −0.409270 0.912413i \(-0.634217\pi\)
0.585538 + 0.810645i \(0.300883\pi\)
\(464\) 263001. + 183718.i 0.0567104 + 0.0396148i
\(465\) −2.45060e6 + 1.42344e6i −0.525582 + 0.305286i
\(466\) −2.07054e6 + 1.98322e6i −0.441691 + 0.423063i
\(467\) 6.03297e6 1.28009 0.640043 0.768339i \(-0.278917\pi\)
0.640043 + 0.768339i \(0.278917\pi\)
\(468\) −6.77100e6 4.25853e6i −1.42902 0.898764i
\(469\) −16644.4 −0.00349412
\(470\) −2.89283e6 + 2.77083e6i −0.604058 + 0.578583i
\(471\) 556.257 + 211973.i 0.000115538 + 0.0440279i
\(472\) −6.61038e6 2.23776e6i −1.36575 0.462336i
\(473\) 8.06458e6 4.65609e6i 1.65741 0.956904i
\(474\) −1.83332e6 + 6.35848e6i −0.374793 + 1.29989i
\(475\) −2.00448e6 1.15729e6i −0.407632 0.235346i
\(476\) 47824.9 + 30430.3i 0.00967469 + 0.00615587i
\(477\) −2.45292e6 + 1.43341e6i −0.493614 + 0.288453i
\(478\) −474842. + 1.63080e6i −0.0950559 + 0.326461i
\(479\) 1.48324e6 2.56904e6i 0.295374 0.511602i −0.679698 0.733492i \(-0.737889\pi\)
0.975072 + 0.221890i \(0.0712226\pi\)
\(480\) 1.79217e6 + 2.21471e6i 0.355040 + 0.438747i
\(481\) 5.03489e6 + 8.72069e6i 0.992265 + 1.71865i
\(482\) 2.93341e6 718669.i 0.575116 0.140900i
\(483\) −48960.3 + 85318.0i −0.00954941 + 0.0166408i
\(484\) 2.20378e6 1.14878e6i 0.427618 0.222907i
\(485\) 1.95364e6i 0.377128i
\(486\) −5.01809e6 1.38997e6i −0.963713 0.266940i
\(487\) 7.19915e6i 1.37549i 0.725950 + 0.687747i \(0.241400\pi\)
−0.725950 + 0.687747i \(0.758600\pi\)
\(488\) −270325. 1.35310e6i −0.0513851 0.257205i
\(489\) −3.67272e6 + 6.40007e6i −0.694570 + 1.21035i
\(490\) −713354. 2.91172e6i −0.134219 0.547847i
\(491\) 1.94528e6 + 3.36932e6i 0.364148 + 0.630723i 0.988639 0.150309i \(-0.0480269\pi\)
−0.624491 + 0.781032i \(0.714694\pi\)
\(492\) 205047. 5.06625e6i 0.0381893 0.943569i
\(493\) 85294.3 147734.i 0.0158053 0.0273756i
\(494\) 6.07245e6 + 1.76812e6i 1.11956 + 0.325982i
\(495\) −3.23420e6 + 1.88997e6i −0.593273 + 0.346690i
\(496\) 5.34482e6 2.49959e6i 0.975503 0.456210i
\(497\) 183392. + 105881.i 0.0333035 + 0.0192278i
\(498\) −4.33470e6 1.24981e6i −0.783223 0.225824i
\(499\) −3.16514e6 + 1.82739e6i −0.569038 + 0.328534i −0.756765 0.653687i \(-0.773221\pi\)
0.187727 + 0.982221i \(0.439888\pi\)
\(500\) 5.30024e6 + 228451.i 0.948136 + 0.0408665i
\(501\) −6125.24 2.33415e6i −0.00109026 0.415464i
\(502\) 5.48935e6 + 5.73105e6i 0.972214 + 1.01502i
\(503\) 6.99423e6 1.23259 0.616297 0.787514i \(-0.288632\pi\)
0.616297 + 0.787514i \(0.288632\pi\)
\(504\) −95009.0 107016.i −0.0166605 0.0187661i
\(505\) −2.75939e6 −0.481488
\(506\) −3.70823e6 3.87151e6i −0.643859 0.672209i
\(507\) 9.25832e6 5.37774e6i 1.59960 0.929137i
\(508\) −2.12243e6 91480.9i −0.364900 0.0157279i
\(509\) −6.20968e6 + 3.58516e6i −1.06237 + 0.613358i −0.926086 0.377312i \(-0.876848\pi\)
−0.136281 + 0.990670i \(0.543515\pi\)
\(510\) 1.09128e6 1.05076e6i 0.185784 0.178886i
\(511\) −34250.6 19774.6i −0.00580251 0.00335008i
\(512\) −3.30782e6 4.92369e6i −0.557656 0.830072i
\(513\) 4.11703e6 32412.2i 0.690702 0.00543770i
\(514\) 5.25362e6 + 1.52970e6i 0.877104 + 0.255387i
\(515\) −1.68266e6 + 2.91446e6i −0.279563 + 0.484217i
\(516\) 8.41922e6 4.41687e6i 1.39203 0.730282i
\(517\) 5.48280e6 + 9.49649e6i 0.902144 + 1.56256i
\(518\) 42869.4 + 174981.i 0.00701977 + 0.0286528i
\(519\) −1.33071e6 2.29095e6i −0.216852 0.373333i
\(520\) −5.76120e6 + 1.15099e6i −0.934339 + 0.186665i
\(521\) 6.81856e6i 1.10052i 0.834993 + 0.550261i \(0.185472\pi\)
−0.834993 + 0.550261i \(0.814528\pi\)
\(522\) −309443. + 299523.i −0.0497055 + 0.0481120i
\(523\) 5.81403e6i 0.929444i −0.885457 0.464722i \(-0.846154\pi\)
0.885457 0.464722i \(-0.153846\pi\)
\(524\) −1.59855e6 + 833289.i −0.254331 + 0.132577i
\(525\) −107996. + 283.403i −0.0171006 + 4.48752e-5i
\(526\) −5.10170e6 + 1.24989e6i −0.803991 + 0.196973i
\(527\) −1.56873e6 2.71713e6i −0.246050 0.426171i
\(528\) 7.05597e6 3.32244e6i 1.10147 0.518647i
\(529\) 1.33703e6 2.31580e6i 0.207731 0.359800i
\(530\) −583361. + 2.00350e6i −0.0902086 + 0.309813i
\(531\) 4.64157e6 8.13777e6i 0.714379 1.25248i
\(532\) 95465.6 + 60743.4i 0.0146241 + 0.00930509i
\(533\) 9.05504e6 + 5.22793e6i 1.38061 + 0.797098i
\(534\) −1.08469e7 + 2.68762e6i −1.64609 + 0.407864i
\(535\) −736292. + 425098.i −0.111216 + 0.0642103i
\(536\) 296959. 877224.i 0.0446462 0.131886i
\(537\) −1.24151e6 712450.i −0.185787 0.106615i
\(538\) −4.96742e6 + 4.75793e6i −0.739904 + 0.708699i
\(539\) −8.20646e6 −1.21670
\(540\) −3.37736e6 + 1.79449e6i −0.498418 + 0.264824i
\(541\) −6.49473e6 −0.954043 −0.477021 0.878892i \(-0.658284\pi\)
−0.477021 + 0.878892i \(0.658284\pi\)
\(542\) 8.27228e6 7.92341e6i 1.20956 1.15855i
\(543\) −8.66337e6 4.97153e6i −1.26092 0.723587i
\(544\) −2.45705e6 + 1.97763e6i −0.355973 + 0.286516i
\(545\) −1.94829e6 + 1.12484e6i −0.280971 + 0.162219i
\(546\) 286442. 70973.8i 0.0411201 0.0101886i
\(547\) −3.41406e6 1.97111e6i −0.487868 0.281671i 0.235822 0.971796i \(-0.424222\pi\)
−0.723690 + 0.690126i \(0.757555\pi\)
\(548\) 7.23985e6 1.13783e7i 1.02986 1.61855i
\(549\) 1.85227e6 9721.46i 0.262284 0.00137658i
\(550\) 1.64541e6 5.65101e6i 0.231935 0.796562i
\(551\) 170260. 294899.i 0.0238910 0.0413804i
\(552\) −3.62306e6 4.10258e6i −0.506090 0.573072i
\(553\) −122071. 211432.i −0.0169745 0.0294008i
\(554\) −2.11945e6 + 519252.i −0.293392 + 0.0718792i
\(555\) 4.81466e6 12634.6i 0.663489 0.00174112i
\(556\) −5.67928e6 1.08950e7i −0.779124 1.49465i
\(557\) 9.50351e6i 1.29791i −0.760825 0.648957i \(-0.775205\pi\)
0.760825 0.648957i \(-0.224795\pi\)
\(558\) 1.92514e6 + 7.68321e6i 0.261744 + 1.04462i
\(559\) 1.96057e7i 2.65371i
\(560\) −104719. 9044.02i −0.0141110 0.00121868i
\(561\) −2.08294e6 3.58599e6i −0.279428 0.481063i
\(562\) 221706. + 904943.i 0.0296098 + 0.120859i
\(563\) 1.12664e6 + 1.95140e6i 0.149801 + 0.259463i 0.931154 0.364627i \(-0.118803\pi\)
−0.781353 + 0.624089i \(0.785470\pi\)
\(564\) 5.20111e6 + 9.91409e6i 0.688491 + 1.31237i
\(565\) −597502. + 1.03490e6i −0.0787442 + 0.136389i
\(566\) −2.77119e6 806889.i −0.363601 0.105870i
\(567\) 165350. 97793.3i 0.0215996 0.0127747i
\(568\) −8.85230e6 + 7.77637e6i −1.15129 + 1.01136i
\(569\) −1.02789e7 5.93451e6i −1.33096 0.768430i −0.345513 0.938414i \(-0.612295\pi\)
−0.985447 + 0.169984i \(0.945628\pi\)
\(570\) 2.17835e6 2.09747e6i 0.280828 0.270401i
\(571\) 5.96127e6 3.44174e6i 0.765154 0.441762i −0.0659893 0.997820i \(-0.521020\pi\)
0.831143 + 0.556059i \(0.187687\pi\)
\(572\) −692556. + 1.60678e7i −0.0885043 + 2.05337i
\(573\) −3.74320e6 + 2.17425e6i −0.476274 + 0.276646i
\(574\) 129394. + 135092.i 0.0163921 + 0.0171139i
\(575\) −4.13056e6 −0.521002
\(576\) 7.33524e6 3.09801e6i 0.921208 0.389069i
\(577\) 7.44098e6 0.930444 0.465222 0.885194i \(-0.345974\pi\)
0.465222 + 0.885194i \(0.345974\pi\)
\(578\) −4.39570e6 4.58925e6i −0.547279 0.571376i
\(579\) 35398.9 + 1.34895e7i 0.00438827 + 1.67224i
\(580\) −13621.1 + 316021.i −0.00168129 + 0.0390073i
\(581\) 144138. 83217.9i 0.0177148 0.0102277i
\(582\) −5.24645e6 1.51269e6i −0.642035 0.185115i
\(583\) 4.94698e6 + 2.85614e6i 0.602794 + 0.348023i
\(584\) 1.65327e6 1.45233e6i 0.200591 0.176211i
\(585\) −41391.8 7.88654e6i −0.00500063 0.952789i
\(586\) −6.44414e6 1.87635e6i −0.775213 0.225719i
\(587\) 1.62470e6 2.81406e6i 0.194615 0.337084i −0.752159 0.658982i \(-0.770987\pi\)
0.946774 + 0.321898i \(0.104321\pi\)
\(588\) −8.37171e6 338830.i −0.998553 0.0404146i
\(589\) −3.13142e6 5.42379e6i −0.371924 0.644191i
\(590\) −1.63738e6 6.68334e6i −0.193651 0.790430i
\(591\) 1.90903e6 3.32667e6i 0.224825 0.391779i
\(592\) −9.98701e6 862522.i −1.17120 0.101150i
\(593\) 944104.i 0.110251i 0.998479 + 0.0551256i \(0.0175559\pi\)
−0.998479 + 0.0551256i \(0.982444\pi\)
\(594\) 2.57125e6 + 1.01488e7i 0.299005 + 1.18018i
\(595\) 55890.3i 0.00647208i
\(596\) 4.83830e6 + 9.28165e6i 0.557927 + 1.07031i
\(597\) −2.19824e6 + 3.83065e6i −0.252429 + 0.439882i
\(598\) 1.09626e7 2.68578e6i 1.25361 0.307127i
\(599\) −97761.8 169328.i −0.0111327 0.0192825i 0.860405 0.509610i \(-0.170210\pi\)
−0.871538 + 0.490328i \(0.836877\pi\)
\(600\) 1.91186e6 5.69687e6i 0.216810 0.646038i
\(601\) 3.73826e6 6.47485e6i 0.422166 0.731213i −0.573985 0.818866i \(-0.694603\pi\)
0.996151 + 0.0876529i \(0.0279366\pi\)
\(602\) −98059.3 + 336776.i −0.0110280 + 0.0378748i
\(603\) 1.07991e6 + 615954.i 0.120947 + 0.0689851i
\(604\) 7.47161e6 1.17425e7i 0.833340 1.30969i
\(605\) 2.12208e6 + 1.22518e6i 0.235708 + 0.136086i
\(606\) −2.13659e6 + 7.41030e6i −0.236341 + 0.819699i
\(607\) −682314. + 393934.i −0.0751644 + 0.0433962i −0.537111 0.843511i \(-0.680484\pi\)
0.461947 + 0.886908i \(0.347151\pi\)
\(608\) −4.90464e6 + 3.94765e6i −0.538081 + 0.433091i
\(609\) −41.6942 15888.4i −4.55547e−6 0.00173595i
\(610\) 982502. 941066.i 0.106908 0.102399i
\(611\) −2.30868e7 −2.50185
\(612\) −1.97682e6 3.74420e6i −0.213348 0.404092i
\(613\) −261841. −0.0281441 −0.0140720 0.999901i \(-0.504479\pi\)
−0.0140720 + 0.999901i \(0.504479\pi\)
\(614\) 5.77291e6 5.52944e6i 0.617979 0.591917i
\(615\) 4.32292e6 2.51099e6i 0.460882 0.267705i
\(616\) −92260.6 + 272540.i −0.00979636 + 0.0289387i
\(617\) −3.01771e6 + 1.74228e6i −0.319128 + 0.184249i −0.651004 0.759074i \(-0.725652\pi\)
0.331876 + 0.943323i \(0.392318\pi\)
\(618\) 6.52385e6 + 6.77542e6i 0.687121 + 0.713617i
\(619\) 1.28016e7 + 7.39099e6i 1.34288 + 0.775311i 0.987229 0.159309i \(-0.0509266\pi\)
0.355649 + 0.934620i \(0.384260\pi\)
\(620\) 4.90831e6 + 3.12309e6i 0.512806 + 0.326291i
\(621\) 6.33394e6 3.72369e6i 0.659091 0.387476i
\(622\) −997147. + 3.42461e6i −0.103344 + 0.354924i
\(623\) 206140. 357044.i 0.0212785 0.0368555i
\(624\) −1.36991e6 + 1.63628e7i −0.140842 + 1.68227i
\(625\) −712009. 1.23324e6i −0.0729097 0.126283i
\(626\) −2.16742e6 + 531005.i −0.221058 + 0.0541580i
\(627\) −4.15785e6 7.15816e6i −0.422377 0.727165i
\(628\) 385862. 201141.i 0.0390420 0.0203517i
\(629\) 5.33022e6i 0.537178i
\(630\) 38734.0 135677.i 0.00388814 0.0136194i
\(631\) 5.75639e6i 0.575541i −0.957699 0.287771i \(-0.907086\pi\)
0.957699 0.287771i \(-0.0929141\pi\)
\(632\) 1.33212e7 2.66134e6i 1.32663 0.265037i
\(633\) −6.65875e6 + 17473.8i −0.660516 + 0.00173332i
\(634\) −220041. 898149.i −0.0217411 0.0887412i
\(635\) −1.04730e6 1.81398e6i −0.103071 0.178524i
\(636\) 4.92868e6 + 3.11791e6i 0.483156 + 0.305647i
\(637\) 8.63889e6 1.49630e7i 0.843547 1.46107i
\(638\) 831376. + 242072.i 0.0808622 + 0.0235447i
\(639\) −7.98041e6 1.36564e7i −0.773166 1.32308i
\(640\) 2.34498e6 5.35773e6i 0.226303 0.517048i
\(641\) 1.33983e7 + 7.73550e6i 1.28796 + 0.743607i 0.978291 0.207236i \(-0.0664468\pi\)
0.309674 + 0.950843i \(0.399780\pi\)
\(642\) 571487. + 2.30645e6i 0.0547228 + 0.220855i
\(643\) 1.40298e7 8.10012e6i 1.33821 0.772617i 0.351669 0.936124i \(-0.385614\pi\)
0.986542 + 0.163507i \(0.0522808\pi\)
\(644\) 201743. + 8695.52i 0.0191683 + 0.000826191i
\(645\) 8.13049e6 + 4.66574e6i 0.769516 + 0.441592i
\(646\) 2.31572e6 + 2.41768e6i 0.218326 + 0.227939i
\(647\) −5.07623e6 −0.476739 −0.238369 0.971175i \(-0.576613\pi\)
−0.238369 + 0.971175i \(0.576613\pi\)
\(648\) 2.20400e6 + 1.04593e7i 0.206193 + 0.978511i
\(649\) −1.88365e7 −1.75545
\(650\) 8.57148e6 + 8.94888e6i 0.795742 + 0.830779i
\(651\) −253454. 145446.i −0.0234394 0.0134508i
\(652\) 1.51336e7 + 652288.i 1.39419 + 0.0600925i
\(653\) 1.12780e6 651134.i 0.103502 0.0597569i −0.447356 0.894356i \(-0.647634\pi\)
0.550857 + 0.834599i \(0.314301\pi\)
\(654\) 1.51220e6 + 6.10305e6i 0.138250 + 0.557960i
\(655\) −1.53929e6 888710.i −0.140190 0.0809388i
\(656\) −9.42840e6 + 4.40935e6i −0.855418 + 0.400050i
\(657\) 1.49043e6 + 2.55050e6i 0.134710 + 0.230522i
\(658\) −396572. 115470.i −0.0357073 0.0103969i
\(659\) −8.68751e6 + 1.50472e7i −0.779259 + 1.34972i 0.153110 + 0.988209i \(0.451071\pi\)
−0.932369 + 0.361508i \(0.882262\pi\)
\(660\) 6.49851e6 + 4.11100e6i 0.580703 + 0.367356i
\(661\) −3.21752e6 5.57291e6i −0.286430 0.496111i 0.686525 0.727106i \(-0.259135\pi\)
−0.972955 + 0.230995i \(0.925802\pi\)
\(662\) 1.08198e6 + 4.41636e6i 0.0959566 + 0.391669i
\(663\) 8.73109e6 22912.0i 0.771409 0.00202432i
\(664\) 1.81428e6 + 9.08130e6i 0.159693 + 0.799333i
\(665\) 111565.i 0.00978306i
\(666\) 3.69404e6 1.29395e7i 0.322713 1.13040i
\(667\) 607687.i 0.0528890i
\(668\) −4.24893e6 + 2.21487e6i −0.368416 + 0.192046i
\(669\) −7.10538e6 1.22326e7i −0.613793 1.05671i
\(670\) 886905. 217286.i 0.0763291 0.0187002i
\(671\) −1.86214e6 3.22532e6i −0.159664 0.276546i
\(672\) −105371. + 274219.i −0.00900116 + 0.0234247i
\(673\) −3.26993e6 + 5.66368e6i −0.278292 + 0.482016i −0.970960 0.239240i \(-0.923102\pi\)
0.692668 + 0.721256i \(0.256435\pi\)
\(674\) 2.41609e6 8.29783e6i 0.204863 0.703582i
\(675\) 7.01744e6 + 3.97819e6i 0.592815 + 0.336068i
\(676\) −1.85435e7 1.17990e7i −1.56072 0.993065i
\(677\) 3.46325e6 + 1.99951e6i 0.290411 + 0.167669i 0.638127 0.769931i \(-0.279709\pi\)
−0.347716 + 0.937600i \(0.613043\pi\)
\(678\) 2.31657e6 + 2.40590e6i 0.193541 + 0.201004i
\(679\) 174455. 100722.i 0.0145214 0.00838396i
\(680\) −2.94562e6 997156.i −0.244290 0.0826972i
\(681\) 5.27984e6 3.06682e6i 0.436268 0.253408i
\(682\) 1.15011e7 1.10160e7i 0.946841 0.906909i
\(683\) 189908. 0.0155773 0.00778864 0.999970i \(-0.497521\pi\)
0.00778864 + 0.999970i \(0.497521\pi\)
\(684\) −3.94603e6 7.47397e6i −0.322493 0.610817i
\(685\) 1.32972e7 1.08276
\(686\) 446605. 427770.i 0.0362337 0.0347056i
\(687\) 19695.7 + 7.50544e6i 0.00159213 + 0.606715i
\(688\) −1.59998e7 1.11766e7i −1.28868 0.900200i
\(689\) −1.04153e7 + 6.01328e6i −0.835842 + 0.482574i
\(690\) 1.49507e6 5.18536e6i 0.119547 0.414625i
\(691\) −1.27744e7 7.37528e6i −1.01776 0.587602i −0.104304 0.994545i \(-0.533261\pi\)
−0.913454 + 0.406943i \(0.866595\pi\)
\(692\) −2.91963e6 + 4.58854e6i −0.231772 + 0.364258i
\(693\) −335513. 191368.i −0.0265385 0.0151369i
\(694\) −1.33860e6 + 4.59729e6i −0.105500 + 0.362329i
\(695\) 6.05700e6 1.04910e7i 0.475659 0.823866i
\(696\) 838123. + 281273.i 0.0655820 + 0.0220092i
\(697\) 2.76729e6 + 4.79308e6i 0.215761 + 0.373709i
\(698\) −2.13237e6 + 522418.i −0.165662 + 0.0405863i
\(699\) −3.93243e6 + 6.85264e6i −0.304417 + 0.530475i
\(700\) 102478. + 196590.i 0.00790466 + 0.0151641i
\(701\) 1.07971e7i 0.829870i −0.909851 0.414935i \(-0.863804\pi\)
0.909851 0.414935i \(-0.136196\pi\)
\(702\) −2.12112e7 5.99535e6i −1.62451 0.459168i
\(703\) 1.06399e7i 0.811988i
\(704\) −1.27178e7 9.72495e6i −0.967122 0.739530i
\(705\) −5.49416e6 + 9.57410e6i −0.416321 + 0.725480i
\(706\) −2.08787e6 8.52214e6i −0.157649 0.643483i
\(707\) −142264. 246408.i −0.0107040 0.0185398i
\(708\) −1.92158e7 777725.i −1.44071 0.0583100i
\(709\) −8.22095e6 + 1.42391e7i −0.614195 + 1.06382i 0.376330 + 0.926486i \(0.377186\pi\)
−0.990525 + 0.137332i \(0.956147\pi\)
\(710\) −1.11543e7 3.24782e6i −0.830420 0.241794i
\(711\) 95707.1 + 1.82354e7i 0.00710019 + 1.35283i
\(712\) 1.51397e7 + 1.72345e7i 1.11923 + 1.27408i
\(713\) −9.67922e6 5.58830e6i −0.713044 0.411676i
\(714\) 150092. + 43275.5i 0.0110183 + 0.00317685i
\(715\) −1.37327e7 + 7.92858e6i −1.00460 + 0.580003i
\(716\) −126533. + 2.93568e6i −0.00922408 + 0.214006i
\(717\) 12282.7 + 4.68057e6i 0.000892269 + 0.340017i
\(718\) −1.42233e7 1.48496e7i −1.02965 1.07499i
\(719\) 2.43648e7 1.75769 0.878843 0.477111i \(-0.158316\pi\)
0.878843 + 0.477111i \(0.158316\pi\)
\(720\) 6.45964e6 + 4.46209e6i 0.464384 + 0.320780i
\(721\) −347006. −0.0248599
\(722\) −5.06628e6 5.28935e6i −0.361698 0.377624i
\(723\) 7.19663e6 4.18020e6i 0.512016 0.297407i
\(724\) −882961. + 2.04854e7i −0.0626030 + 1.45244i
\(725\) 577787. 333585.i 0.0408247 0.0235701i
\(726\) 4.93333e6 4.75016e6i 0.347375 0.334477i
\(727\) 8.20393e6 + 4.73654e6i 0.575686 + 0.332372i 0.759417 0.650604i \(-0.225484\pi\)
−0.183731 + 0.982977i \(0.558818\pi\)
\(728\) −399805. 455122.i −0.0279589 0.0318272i
\(729\) −1.43471e7 + 225916.i −0.999876 + 0.0157444i
\(730\) 2.08320e6 + 606568.i 0.144685 + 0.0421281i
\(731\) −5.18893e6 + 8.98749e6i −0.359157 + 0.622078i
\(732\) −1.76647e6 3.36715e6i −0.121851 0.232266i
\(733\) 2.49849e6 + 4.32752e6i 0.171758 + 0.297494i 0.939035 0.343822i \(-0.111722\pi\)
−0.767276 + 0.641317i \(0.778388\pi\)
\(734\) −569639. 2.32511e6i −0.0390265 0.159296i
\(735\) −4.14928e6 7.14341e6i −0.283305 0.487739i
\(736\) −4.05764e6 + 1.04775e7i −0.276108 + 0.712953i
\(737\) 2.49968e6i 0.169518i
\(738\) −3.39600e6 1.35534e7i −0.229523 0.916024i
\(739\) 1.74764e7i 1.17718i −0.808433 0.588588i \(-0.799684\pi\)
0.808433 0.588588i \(-0.200316\pi\)
\(740\) −4.56862e6 8.76430e6i −0.306694 0.588353i
\(741\) 1.74285e7 45735.8i 1.16605 0.00305992i
\(742\) −208984. + 51199.9i −0.0139349 + 0.00341397i
\(743\) 1.71665e6 + 2.97332e6i 0.114080 + 0.197592i 0.917412 0.397940i \(-0.130275\pi\)
−0.803332 + 0.595532i \(0.796941\pi\)
\(744\) 1.21875e7 1.07630e7i 0.807201 0.712854i
\(745\) −5.16009e6 + 8.93754e6i −0.340617 + 0.589967i
\(746\) 5.24694e6 1.80202e7i 0.345191 1.18553i
\(747\) −1.24315e7 + 65245.4i −0.815118 + 0.00427808i
\(748\) −4.57005e6 + 7.18238e6i −0.298653 + 0.469369i
\(749\) −75920.6 43832.8i −0.00494487 0.00285492i
\(750\) 1.41902e7 3.51601e6i 0.921161 0.228243i
\(751\) −4.54796e6 + 2.62576e6i −0.294250 + 0.169885i −0.639857 0.768494i \(-0.721006\pi\)
0.345607 + 0.938379i \(0.387673\pi\)
\(752\) 1.31611e7 1.88407e7i 0.848686 1.21493i
\(753\) 1.89675e7 + 1.08846e7i 1.21905 + 0.699560i
\(754\) −1.31656e6 + 1.26103e6i −0.0843358 + 0.0807790i
\(755\) 1.37228e7 0.876146
\(756\) −334368. 209074.i −0.0212775 0.0133044i
\(757\) 2.98204e7 1.89136 0.945679 0.325102i \(-0.105399\pi\)
0.945679 + 0.325102i \(0.105399\pi\)
\(758\) −1.12551e7 + 1.07805e7i −0.711505 + 0.681498i
\(759\) −1.28131e7 7.35290e6i −0.807329 0.463291i
\(760\) −5.87990e6 1.99047e6i −0.369263 0.125003i
\(761\) 3.94493e6 2.27761e6i 0.246932