Properties

Label 36.6.h.a.11.3
Level 36
Weight 6
Character 36.11
Analytic conductor 5.774
Analytic rank 0
Dimension 56
CM no
Inner twists 4

Related objects

Downloads

Learn more about

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 11.3
Character \(\chi\) \(=\) 36.11
Dual form 36.6.h.a.23.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.49437 - 1.34609i) q^{2} +(13.5204 + 7.75878i) q^{3} +(28.3761 + 14.7918i) q^{4} +(-27.3241 + 15.7756i) q^{5} +(-63.8421 - 60.8292i) q^{6} +(2.81745 + 1.62665i) q^{7} +(-135.998 - 119.468i) q^{8} +(122.603 + 209.804i) q^{9} +O(q^{10})\) \(q+(-5.49437 - 1.34609i) q^{2} +(13.5204 + 7.75878i) q^{3} +(28.3761 + 14.7918i) q^{4} +(-27.3241 + 15.7756i) q^{5} +(-63.8421 - 60.8292i) 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} +(268.890 + 420.155i) q^{12} +(514.329 + 890.844i) q^{13} +(-13.2905 - 12.7300i) q^{14} +(-491.832 + 1.29066i) q^{15} +(586.406 + 839.467i) q^{16} +544.497i q^{17} +(-391.211 - 1317.77i) q^{18} -1086.90i q^{19} +(-1008.70 + 43.4770i) q^{20} +(25.4722 + 43.8530i) q^{21} +(1911.79 - 1995.97i) q^{22} +(-969.831 - 1679.80i) q^{23} +(-911.816 - 2670.43i) 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} +(2704.04 + 654.957i) q^{30} +(4990.16 - 2881.07i) q^{31} +(-2091.93 - 5401.69i) q^{32} +(-6585.87 + 3825.43i) q^{33} +(732.941 - 2991.67i) q^{34} -102.646 q^{35} +(375.619 + 7766.92i) q^{36} +9789.25 q^{37} +(-1463.06 + 5971.81i) q^{38} +(42.0792 + 16035.1i) q^{39} +(5600.69 + 1118.92i) q^{40} +(8802.77 - 5082.28i) q^{41} +(-80.9236 - 275.232i) 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} +(1415.21 + 15899.7i) q^{48} +(-8398.21 - 14546.1i) q^{49} +(8332.68 - 8699.57i) q^{50} +(-4224.63 + 7361.83i) q^{51} +(1417.47 + 32886.5i) q^{52} +11691.5i q^{53} +(4934.97 - 20852.1i) q^{54} -15415.4i q^{55} +(-188.833 - 557.816i) q^{56} +(8432.99 - 14695.3i) q^{57} +(1279.88 + 1225.90i) q^{58} +(19276.6 + 33388.1i) q^{59} +(-13975.4 - 7238.45i) 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} +(41334.5 - 12153.2i) q^{66} +(-4430.73 + 2558.08i) q^{67} +(-8054.09 + 15450.7i) q^{68} +(-79.3456 - 30236.2i) q^{69} +(563.972 + 138.170i) q^{70} +65091.6 q^{71} +(8391.17 - 43179.9i) q^{72} +12156.6 q^{73} +(-53785.7 - 13177.2i) q^{74} +(-28704.9 + 16673.4i) q^{75} +(16077.2 - 30841.9i) q^{76} +(-1376.56 + 794.757i) q^{77} +(21353.5 - 88159.6i) 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} +(74.1376 + 1621.15i) q^{84} +(-8589.76 - 14877.9i) q^{85} +(77862.3 + 74578.5i) q^{86} +(-2452.99 - 4223.07i) q^{87} +(83773.3 - 28359.0i) q^{88} +126726. i q^{89} +(31478.1 + 29835.3i) q^{90} +3346.54i q^{91} +(-2672.82 - 62011.6i) q^{92} +(89822.5 - 235.711i) q^{93} +(-87820.3 + 91687.1i) q^{94} +(17146.4 + 29698.5i) q^{95} +(13626.7 - 89263.9i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.49437 1.34609i −0.971276 0.237957i
\(3\) 13.5204 + 7.75878i 0.867335 + 0.497726i
\(4\) 28.3761 + 14.7918i 0.886753 + 0.462243i
\(5\) −27.3241 + 15.7756i −0.488788 + 0.282202i −0.724072 0.689725i \(-0.757732\pi\)
0.235283 + 0.971927i \(0.424398\pi\)
\(6\) −63.8421 60.8292i −0.723984 0.689817i
\(7\) 2.81745 + 1.62665i 0.0217325 + 0.0125473i 0.510827 0.859684i \(-0.329339\pi\)
−0.489094 + 0.872231i \(0.662673\pi\)
\(8\) −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 \(0.374989\pi\)
−0.991449 + 0.130492i \(0.958344\pi\)
\(12\) 268.890 + 420.155i 0.539041 + 0.842279i
\(13\) 514.329 + 890.844i 0.844078 + 1.46199i 0.886419 + 0.462883i \(0.153185\pi\)
−0.0423410 + 0.999103i \(0.513482\pi\)
\(14\) −13.2905 12.7300i −0.0181226 0.0173583i
\(15\) −491.832 + 1.29066i −0.564402 + 0.00148110i
\(16\) 586.406 + 839.467i 0.572662 + 0.819792i
\(17\) 544.497i 0.456955i 0.973549 + 0.228478i \(0.0733748\pi\)
−0.973549 + 0.228478i \(0.926625\pi\)
\(18\) −391.211 1317.77i −0.284596 0.958647i
\(19\) 1086.90i 0.690724i −0.938470 0.345362i \(-0.887756\pi\)
0.938470 0.345362i \(-0.112244\pi\)
\(20\) −1008.70 + 43.4770i −0.563881 + 0.0243044i
\(21\) 25.4722 + 43.8530i 0.0126043 + 0.0216995i
\(22\) 1911.79 1995.97i 0.842140 0.879220i
\(23\) −969.831 1679.80i −0.382275 0.662121i 0.609112 0.793084i \(-0.291526\pi\)
−0.991387 + 0.130964i \(0.958193\pi\)
\(24\) −911.816 2670.43i −0.323131 0.946354i
\(25\) −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 \(0.677679\pi\)
\(30\) 2704.04 + 654.957i 0.548543 + 0.132865i
\(31\) 4990.16 2881.07i 0.932631 0.538455i 0.0449884 0.998988i \(-0.485675\pi\)
0.887643 + 0.460533i \(0.152342\pi\)
\(32\) −2091.93 5401.69i −0.361138 0.932512i
\(33\) −6585.87 + 3825.43i −1.05276 + 0.611499i
\(34\) 732.941 2991.67i 0.108736 0.443829i
\(35\) −102.646 −0.0141635
\(36\) 375.619 + 7766.92i 0.0483049 + 0.998833i
\(37\) 9789.25 1.17556 0.587780 0.809021i \(-0.300002\pi\)
0.587780 + 0.809021i \(0.300002\pi\)
\(38\) −1463.06 + 5971.81i −0.164362 + 0.670883i
\(39\) 42.0792 + 16035.1i 0.00443003 + 1.68815i
\(40\) 5600.69 + 1118.92i 0.553467 + 0.110573i
\(41\) 8802.77 5082.28i 0.817823 0.472171i −0.0318420 0.999493i \(-0.510137\pi\)
0.849665 + 0.527322i \(0.176804\pi\)
\(42\) −80.9236 275.232i −0.00707867 0.0240755i
\(43\) −16506.0 9529.76i −1.36136 0.785979i −0.371551 0.928413i \(-0.621174\pi\)
−0.989804 + 0.142434i \(0.954507\pi\)
\(44\) −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 \(-0.567685\pi\)
0.952040 0.305973i \(-0.0989817\pi\)
\(48\) 1415.21 + 15899.7i 0.0886583 + 0.996062i
\(49\) −8398.21 14546.1i −0.499685 0.865480i
\(50\) 8332.68 8699.57i 0.471368 0.492122i
\(51\) −4224.63 + 7361.83i −0.227438 + 0.396333i
\(52\) 1417.47 + 32886.5i 0.0726954 + 1.68659i
\(53\) 11691.5i 0.571717i 0.958272 + 0.285858i \(0.0922787\pi\)
−0.958272 + 0.285858i \(0.907721\pi\)
\(54\) 4934.97 20852.1i 0.230303 0.973119i
\(55\) 15415.4i 0.687144i
\(56\) −188.833 557.816i −0.00804650 0.0237696i
\(57\) 8432.99 14695.3i 0.343791 0.599089i
\(58\) 1279.88 + 1225.90i 0.0499573 + 0.0478505i
\(59\) 19276.6 + 33388.1i 0.720942 + 1.24871i 0.960622 + 0.277857i \(0.0896242\pi\)
−0.239680 + 0.970852i \(0.577043\pi\)
\(60\) −13975.4 7238.45i −0.501170 0.259578i
\(61\) 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
\(66\) 41334.5 12153.2i 1.16803 0.343423i
\(67\) −4430.73 + 2558.08i −0.120584 + 0.0696189i −0.559079 0.829115i \(-0.688845\pi\)
0.438495 + 0.898734i \(0.355512\pi\)
\(68\) −8054.09 + 15450.7i −0.211224 + 0.405206i
\(69\) −79.3456 30236.2i −0.00200632 0.764548i
\(70\) 563.972 + 138.170i 0.0137566 + 0.00337030i
\(71\) 65091.6 1.53242 0.766212 0.642588i \(-0.222139\pi\)
0.766212 + 0.642588i \(0.222139\pi\)
\(72\) 8391.17 43179.9i 0.190762 0.981636i
\(73\) 12156.6 0.266996 0.133498 0.991049i \(-0.457379\pi\)
0.133498 + 0.991049i \(0.457379\pi\)
\(74\) −53785.7 13177.2i −1.14179 0.279733i
\(75\) −28704.9 + 16673.4i −0.589255 + 0.342272i
\(76\) 16077.2 30841.9i 0.319283 0.612501i
\(77\) −1376.56 + 794.757i −0.0264587 + 0.0152759i
\(78\) 21353.5 88159.6i 0.397404 1.64071i
\(79\) −64990.0 37522.0i −1.17160 0.676423i −0.217542 0.976051i \(-0.569804\pi\)
−0.954056 + 0.299628i \(0.903137\pi\)
\(80\) −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 −0.587052 0.809549i \(-0.699711\pi\)
0.994616 + 0.103627i \(0.0330448\pi\)
\(84\) 74.1376 + 1621.15i 0.00114641 + 0.0250684i
\(85\) −8589.76 14877.9i −0.128954 0.223354i
\(86\) 77862.3 + 74578.5i 1.13522 + 1.08735i
\(87\) −2452.99 4223.07i −0.0347454 0.0598177i
\(88\) 83773.3 28359.0i 1.15318 0.390377i
\(89\) 126726.i 1.69587i 0.530104 + 0.847933i \(0.322153\pi\)
−0.530104 + 0.847933i \(0.677847\pi\)
\(90\) 31478.1 + 29835.3i 0.409640 + 0.388262i
\(91\) 3346.54i 0.0423636i
\(92\) −2672.82 62011.6i −0.0329231 0.763842i
\(93\) 89822.5 235.711i 1.07691 0.00282601i
\(94\) −87820.3 + 91687.1i −1.02512 + 1.07026i
\(95\) 17146.4 + 29698.5i 0.194924 + 0.337618i
\(96\) 13626.7 89263.9i 0.150908 0.988548i
\(97\) −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 \(0.526397\pi\)
\(102\) 33121.3 34761.8i 0.315215 0.330828i
\(103\) −92372.6 + 53331.3i −0.857926 + 0.495324i −0.863317 0.504661i \(-0.831617\pi\)
0.00539101 + 0.999985i \(0.498284\pi\)
\(104\) 36480.0 182599.i 0.330728 1.65544i
\(105\) −1387.81 796.404i −0.0122845 0.00704953i
\(106\) 15737.8 64237.4i 0.136044 0.555295i
\(107\) −26946.6 −0.227533 −0.113767 0.993508i \(-0.536292\pi\)
−0.113767 + 0.993508i \(0.536292\pi\)
\(108\) −55183.3 + 107926.i −0.455248 + 0.890365i
\(109\) 71302.9 0.574832 0.287416 0.957806i \(-0.407204\pi\)
0.287416 + 0.957806i \(0.407204\pi\)
\(110\) −20750.5 + 84697.8i −0.163511 + 0.667406i
\(111\) 132355. + 75952.6i 1.01960 + 0.585107i
\(112\) 286.646 + 3319.03i 0.00215924 + 0.0250015i
\(113\) 32800.9 18937.6i 0.241651 0.139517i −0.374284 0.927314i \(-0.622112\pi\)
0.615935 + 0.787797i \(0.288778\pi\)
\(114\) −66115.1 + 69389.8i −0.476473 + 0.500073i
\(115\) 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
\(120\) 67042.2 + 58582.8i 0.425006 + 0.371378i
\(121\) −38831.7 67258.5i −0.241114 0.417622i
\(122\) −29826.7 + 31140.0i −0.181428 + 0.189417i
\(123\) 158449. 415.801i 0.944338 0.00247812i
\(124\) 184217. 7940.13i 1.07591 0.0463739i
\(125\) 165786.i 0.949016i
\(126\) 1041.34 4349.12i 0.00584342 0.0244048i
\(127\) 66387.5i 0.365239i −0.983184 0.182619i \(-0.941542\pi\)
0.983184 0.182619i \(-0.0584576\pi\)
\(128\) 20539.7 184222.i 0.110808 0.993842i
\(129\) −149229. 256913.i −0.789548 1.35929i
\(130\) 132587. + 126995.i 0.688086 + 0.659067i
\(131\) −28167.3 48787.1i −0.143406 0.248386i 0.785371 0.619025i \(-0.212472\pi\)
−0.928777 + 0.370639i \(0.879139\pi\)
\(132\) −243466. + 11134.0i −1.21620 + 0.0556183i
\(133\) 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 \(-0.742102\pi\)
\(138\) −40264.7 + 166236.i −0.179981 + 0.743065i
\(139\) 332509. 191974.i 1.45971 0.842764i 0.460713 0.887549i \(-0.347594\pi\)
0.998997 + 0.0447857i \(0.0142605\pi\)
\(140\) −2912.68 1518.31i −0.0125595 0.00654698i
\(141\) 302529. 175725.i 1.28150 0.744366i
\(142\) −357637. 87618.9i −1.48841 0.364651i
\(143\) −502586. −2.05528
\(144\) −104228. + 225951.i −0.418869 + 0.908047i
\(145\) 9884.83 0.0390435
\(146\) −66792.8 16363.8i −0.259327 0.0635336i
\(147\) −687.090 261829.i −0.00262253 0.999367i
\(148\) 277781. + 144800.i 1.04243 + 0.543395i
\(149\) 283272. 163547.i 1.04529 0.603499i 0.123964 0.992287i \(-0.460439\pi\)
0.921327 + 0.388788i \(0.127106\pi\)
\(150\) 180159. 52970.4i 0.653775 0.192223i
\(151\) 376668. + 217470.i 1.34436 + 0.776169i 0.987444 0.157967i \(-0.0504938\pi\)
0.356919 + 0.934135i \(0.383827\pi\)
\(152\) −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
\(156\) −235994. + 455637.i −0.776408 + 1.49902i
\(157\) −6799.06 11776.3i −0.0220140 0.0381294i 0.854809 0.518944i \(-0.173675\pi\)
−0.876823 + 0.480814i \(0.840341\pi\)
\(158\) 306571. + 293642.i 0.976986 + 0.935783i
\(159\) −90711.8 + 158074.i −0.284558 + 0.495870i
\(160\) 142375. + 114595.i 0.439677 + 0.353887i
\(161\) 6310.32i 0.0191861i
\(162\) 228510. 243640.i 0.684096 0.729392i
\(163\) 473364.i 1.39549i 0.716347 + 0.697744i \(0.245813\pi\)
−0.716347 + 0.697744i \(0.754187\pi\)
\(164\) 324964. 14006.6i 0.943465 0.0406652i
\(165\) 119605. 208422.i 0.342009 0.595984i
\(166\) −200181. + 208995.i −0.563837 + 0.588663i
\(167\) −74868.1 129675.i −0.207733 0.359804i 0.743267 0.668995i \(-0.233275\pi\)
−0.951000 + 0.309191i \(0.899942\pi\)
\(168\) 1774.88 9007.01i 0.00485171 0.0246211i
\(169\) −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 \(0.597407\pi\)
\(174\) 7792.99 + 26505.0i 0.0195133 + 0.0663674i
\(175\) −5999.82 + 3464.00i −0.0148096 + 0.00855033i
\(176\) −498455. + 43048.7i −1.21295 + 0.104756i
\(177\) 1577.09 + 600983.i 0.00378377 + 1.44188i
\(178\) 170584. 696280.i 0.403543 1.64715i
\(179\) −91825.1 −0.214205 −0.107102 0.994248i \(-0.534157\pi\)
−0.107102 + 0.994248i \(0.534157\pi\)
\(180\) −132791. 206299.i −0.305483 0.474586i
\(181\) 640763. 1.45379 0.726893 0.686750i \(-0.240963\pi\)
0.726893 + 0.686750i \(0.240963\pi\)
\(182\) 4504.74 18387.1i 0.0100807 0.0411467i
\(183\) 102749. 59682.1i 0.226803 0.131740i
\(184\) −68787.6 + 344312.i −0.149784 + 0.749735i
\(185\) −267482. + 154431.i −0.574600 + 0.331746i
\(186\) −493835. 119614.i −1.04665 0.253512i
\(187\) −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 −0.970235 0.242167i \(-0.922142\pi\)
0.694840 + 0.719165i \(0.255475\pi\)
\(192\) −195027. + 472106.i −0.381805 + 0.924243i
\(193\) −432677. 749418.i −0.836123 1.44821i −0.893113 0.449833i \(-0.851484\pi\)
0.0569898 0.998375i \(-0.481850\pi\)
\(194\) 242287. 252955.i 0.462196 0.482547i
\(195\) −254113. 437482.i −0.478565 0.823898i
\(196\) −23145.2 536987.i −0.0430349 0.998443i
\(197\) 246048.i 0.451705i 0.974162 + 0.225852i \(0.0725167\pi\)
−0.974162 + 0.225852i \(0.927483\pi\)
\(198\) 653153. + 156390.i 1.18400 + 0.283495i
\(199\) 283324.i 0.507166i 0.967314 + 0.253583i \(0.0816091\pi\)
−0.967314 + 0.253583i \(0.918391\pi\)
\(200\) 365131. 123605.i 0.645467 0.218504i
\(201\) −79752.8 + 209.286i −0.139237 + 0.000365385i
\(202\) −357284. 342216.i −0.616077 0.590095i
\(203\) −509.623 882.693i −0.000867979 0.00150338i
\(204\) −228773. + 146410.i −0.384884 + 0.246318i
\(205\) −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
\(210\) 6553.11 + 6243.85i 0.0102541 + 0.00977021i
\(211\) −369932. + 213580.i −0.572025 + 0.330259i −0.757958 0.652303i \(-0.773803\pi\)
0.185932 + 0.982563i \(0.440469\pi\)
\(212\) −172938. + 331759.i −0.264272 + 0.506972i
\(213\) 880064. + 505031.i 1.32912 + 0.762727i
\(214\) 148055. + 36272.5i 0.220997 + 0.0541431i
\(215\) 601350. 0.887219
\(216\) 448475. 518705.i 0.654040 0.756460i
\(217\) 18746.0 0.0270246
\(218\) −391764. 95979.9i −0.558320 0.136785i
\(219\) 164362. + 94320.3i 0.231575 + 0.132891i
\(220\) 228021. 437429.i 0.317628 0.609327i
\(221\) −485062. + 280051.i −0.668062 + 0.385706i
\(222\) −624966. 595472.i −0.851087 0.810922i
\(223\) −785917. 453749.i −1.05831 0.611018i −0.133349 0.991069i \(-0.542573\pi\)
−0.924965 + 0.380051i \(0.875906\pi\)
\(224\) 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 −0.711886 0.702295i \(-0.752159\pi\)
0.964148 + 0.265364i \(0.0854921\pi\)
\(228\) 456665. 292256.i 0.581782 0.372329i
\(229\) −240738. 416970.i −0.303358 0.525432i 0.673536 0.739154i \(-0.264775\pi\)
−0.976894 + 0.213722i \(0.931441\pi\)
\(230\) −250009. 239466.i −0.311628 0.298486i
\(231\) −24778.0 + 65.0221i −0.0305517 + 8.01736e-5i
\(232\) 18184.7 + 53718.0i 0.0221813 + 0.0655240i
\(233\) 506837.i 0.611615i −0.952093 0.305808i \(-0.901074\pi\)
0.952093 0.305808i \(-0.0989265\pi\)
\(234\) 972718. 1.02628e6i 1.16131 1.22525i
\(235\) 708122.i 0.836447i
\(236\) 53125.7 + 1.23256e6i 0.0620905 + 1.44055i
\(237\) −587566. 1.01156e6i −0.679495 1.16982i
\(238\) 6931.43 7236.62i 0.00793196 0.00828121i
\(239\) 150130. + 260032.i 0.170009 + 0.294464i 0.938423 0.345489i \(-0.112287\pi\)
−0.768414 + 0.639953i \(0.778954\pi\)
\(240\) −289497. 412120.i −0.324426 0.461844i
\(241\) −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
\(246\) −871138. 211002.i −0.917802 0.222305i
\(247\) 968256. 559023.i 1.00983 0.583025i
\(248\) −1.02285e6 204347.i −1.05604 0.210978i
\(249\) 689597. 400555.i 0.704850 0.409416i
\(250\) −223163. + 910890.i −0.225825 + 0.921756i
\(251\) 1.40288e6 1.40551 0.702757 0.711430i \(-0.251952\pi\)
0.702757 + 0.711430i \(0.251952\pi\)
\(252\) −11575.8 + 22493.9i −0.0114829 + 0.0223133i
\(253\) 947688. 0.930816
\(254\) −89363.3 + 364757.i −0.0869111 + 0.354748i
\(255\) −702.761 267801.i −0.000676795 0.257906i
\(256\) −360832. + 984536.i −0.344116 + 0.938927i
\(257\) −837694. + 483643.i −0.791139 + 0.456764i −0.840363 0.542024i \(-0.817658\pi\)
0.0492245 + 0.998788i \(0.484325\pi\)
\(258\) 474091. + 1.61245e6i 0.443417 + 1.50812i
\(259\) 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 −0.995311 0.0967310i \(-0.969161\pi\)
0.581427 + 0.813599i \(0.302495\pi\)
\(264\) 1.35268e6 + 266552.i 1.19450 + 0.235382i
\(265\) −184440. 319460.i −0.161340 0.279448i
\(266\) −13836.2 + 14445.4i −0.0119898 + 0.0125177i
\(267\) −983240. + 1.71339e6i −0.844076 + 1.47088i
\(268\) −163565. + 7049.99i −0.139109 + 0.00599586i
\(269\) 1.21595e6i 1.02455i −0.858820 0.512277i \(-0.828802\pi\)
0.858820 0.512277i \(-0.171198\pi\)
\(270\) 194111. + 647617.i 0.162047 + 0.540641i
\(271\) 2.02493e6i 1.67489i −0.546520 0.837446i \(-0.684048\pi\)
0.546520 0.837446i \(-0.315952\pi\)
\(272\) −457087. + 319297.i −0.374608 + 0.261681i
\(273\) −25965.1 + 45246.6i −0.0210854 + 0.0367434i
\(274\) 1.72171e6 + 1.64910e6i 1.38542 + 1.32700i
\(275\) −520226. 901058.i −0.414821 0.718490i
\(276\) 444996. 859160.i 0.351628 0.678893i
\(277\) 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 \(0.686484\pi\)
\(282\) −1.89875e6 + 558269.i −1.42182 + 0.418042i
\(283\) −441868. + 255113.i −0.327964 + 0.189350i −0.654937 0.755684i \(-0.727305\pi\)
0.326973 + 0.945034i \(0.393971\pi\)
\(284\) 1.84704e6 + 962821.i 1.35888 + 0.708353i
\(285\) 1402.81 + 534571.i 0.00102303 + 0.389846i
\(286\) 2.76139e6 + 676525.i 1.99624 + 0.489067i
\(287\) 33068.4 0.0236978
\(288\) 876817. 1.10116e6i 0.622913 0.782291i
\(289\) 1.12338e6 0.791192
\(290\) −54310.9 13305.8i −0.0379221 0.00929068i
\(291\) −834646. + 484808.i −0.577790 + 0.335612i
\(292\) 344957. + 179818.i 0.236760 + 0.123417i
\(293\) 1.02752e6 593241.i 0.699234 0.403703i −0.107828 0.994170i \(-0.534390\pi\)
0.807062 + 0.590467i \(0.201056\pi\)
\(294\) −348670. + 1.43951e6i −0.235259 + 0.971285i
\(295\) −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
\(300\) −1.06116e6 + 48528.4i −0.680737 + 0.0311310i
\(301\) −31003.2 53699.2i −0.0197238 0.0341626i
\(302\) −1.77682e6 1.70189e6i −1.12105 1.07377i
\(303\) 684762. + 1.17889e6i 0.428483 + 0.737676i
\(304\) 912414. 637363.i 0.566250 0.395551i
\(305\) 240502.i 0.148036i
\(306\) 717523. 213013.i 0.438059 0.130048i
\(307\) 1.41312e6i 0.855724i −0.903844 0.427862i \(-0.859267\pi\)
0.903844 0.427862i \(-0.140733\pi\)
\(308\) −50817.3 + 2190.33i −0.0305235 + 0.00131562i
\(309\) −1.66270e6 + 4363.24i −0.990645 + 0.00259964i
\(310\) 711378. 742701.i 0.420433 0.438944i
\(311\) 315266. + 546057.i 0.184832 + 0.320138i 0.943520 0.331316i \(-0.107493\pi\)
−0.758688 + 0.651454i \(0.774159\pi\)
\(312\) 1.90997e6 2.18577e6i 1.11081 1.27121i
\(313\) 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 \(0.652120\pi\)
\(318\) 711185. 746410.i 0.394380 0.413914i
\(319\) 132564. 76535.6i 0.0729369 0.0421101i
\(320\) −628005. 821275.i −0.342838 0.448346i
\(321\) −364329. 209073.i −0.197347 0.113249i
\(322\) −8494.24 + 34671.2i −0.00456546 + 0.0186350i
\(323\) 591813. 0.315630
\(324\) −1.58348e6 + 1.03105e6i −0.838010 + 0.545655i
\(325\) −2.19055e6 −1.15039
\(326\) 637189. 2.60083e6i 0.332066 1.35540i
\(327\) 964044. + 553223.i 0.498572 + 0.286109i
\(328\) −1.80433e6 360473.i −0.926041 0.185007i
\(329\) 63233.7 36508.0i 0.0322077 0.0185951i
\(330\) −937706. + 984150.i −0.474004 + 0.497481i
\(331\) 696109. + 401899.i 0.349227 + 0.201626i 0.664345 0.747426i \(-0.268711\pi\)
−0.315118 + 0.949053i \(0.602044\pi\)
\(332\) 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
\(336\) −21876.0 + 47098.7i −0.0105711 + 0.0227594i
\(337\) 763890. + 1.32310e6i 0.366400 + 0.634624i 0.989000 0.147917i \(-0.0472567\pi\)
−0.622599 + 0.782541i \(0.713923\pi\)
\(338\) 2.68757e6 2.80591e6i 1.27958 1.33592i
\(339\) 590413. 1549.36i 0.279034 0.000732238i
\(340\) −23673.1 549235.i −0.0111060 0.257668i
\(341\) 2.81529e6i 1.31110i
\(342\) −1.43228e6 + 425206.i −0.662161 + 0.196578i
\(343\) 109322.i 0.0501734i
\(344\) 1.10628e6 + 3.26797e6i 0.504043 + 1.48896i
\(345\) 479162. + 824926.i 0.216738 + 0.373136i
\(346\) −694314. 665033.i −0.311793 0.298643i
\(347\) 423222. + 733041.i 0.188688 + 0.326817i 0.944813 0.327610i \(-0.106243\pi\)
−0.756125 + 0.654427i \(0.772910\pi\)
\(348\) −7139.50 156118.i −0.00316024 0.0691044i
\(349\) 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 \(0.559194\pi\)
\(354\) 800311. 3.30414e6i 0.339430 1.40136i
\(355\) −1.77857e6 + 1.02686e6i −0.749031 + 0.432453i
\(356\) −1.87451e6 + 3.59599e6i −0.783902 + 1.50381i
\(357\) −23877.8 + 13869.5i −0.00991572 + 0.00575959i
\(358\) 504520. + 123605.i 0.208052 + 0.0509714i
\(359\) −3.63496e6 −1.48855 −0.744275 0.667873i \(-0.767205\pi\)
−0.744275 + 0.667873i \(0.767205\pi\)
\(360\) 451907. + 1.31223e6i 0.183778 + 0.533646i
\(361\) 1.29475e6 0.522901
\(362\) −3.52058e6 862522.i −1.41203 0.345938i
\(363\) −3176.97 1.21065e6i −0.00126545 0.482227i
\(364\) −49501.3 + 94961.8i −0.0195823 + 0.0375660i
\(365\) −332168. + 191777.i −0.130505 + 0.0753469i
\(366\) −644877. + 189606.i −0.251637 + 0.0739862i
\(367\) −366486. 211591.i −0.142034 0.0820033i 0.427299 0.904110i \(-0.359465\pi\)
−0.569333 + 0.822107i \(0.692798\pi\)
\(368\) 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
\(372\) 2.55230e6 + 1.32195e6i 0.956256 + 0.495287i
\(373\) 1.65892e6 + 2.87333e6i 0.617380 + 1.06933i 0.989962 + 0.141334i \(0.0451391\pi\)
−0.372582 + 0.927999i \(0.621528\pi\)
\(374\) 1.08680e6 + 1.04097e6i 0.401764 + 0.384820i
\(375\) 1.28630e6 2.24150e6i 0.472350 0.823114i
\(376\) −3.84821e6 + 1.30270e6i −1.40375 + 0.475199i
\(377\) 322274.i 0.116781i
\(378\) 47823.2 50722.3i 0.0172151 0.0182587i
\(379\) 2.75509e6i 0.985230i 0.870247 + 0.492615i \(0.163959\pi\)
−0.870247 + 0.492615i \(0.836041\pi\)
\(380\) 47255.0 + 1.09635e6i 0.0167876 + 0.389486i
\(381\) 515086. 897586.i 0.181789 0.316784i
\(382\) 1.08660e6 1.13445e6i 0.380989 0.397764i
\(383\) −341107. 590814.i −0.118821 0.205804i 0.800480 0.599360i \(-0.204578\pi\)
−0.919301 + 0.393556i \(0.871245\pi\)
\(384\) 1.70705e6 2.33140e6i 0.590768 0.806841i
\(385\) 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 \(-0.669237\pi\)
\(390\) 807303. + 2.74574e6i 0.268766 + 0.914110i
\(391\) 914645. 528070.i 0.302559 0.174683i
\(392\) −595663. + 2.98156e6i −0.195788 + 0.980004i
\(393\) −2304.47 878166.i −0.000752645 0.286810i
\(394\) 331202. 1.35188e6i 0.107486 0.438730i
\(395\) 2.36772e6 0.763551
\(396\) −3.37815e6 1.73846e6i −1.08253 0.557093i
\(397\) −4.32179e6 −1.37622 −0.688109 0.725607i \(-0.741559\pi\)
−0.688109 + 0.725607i \(0.741559\pi\)
\(398\) 381378. 1.55668e6i 0.120684 0.492598i
\(399\) 47663.6 27685.6i 0.0149884 0.00870608i
\(400\) −2.17255e6 + 187631.i −0.678921 + 0.0586346i
\(401\) 2.13586e6 1.23314e6i 0.663302 0.382958i −0.130232 0.991484i \(-0.541572\pi\)
0.793534 + 0.608526i \(0.208239\pi\)
\(402\) 438473. + 106204.i 0.135325 + 0.0327776i
\(403\) 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
\(408\) 1.45404e6 496482.i 0.432441 0.147657i
\(409\) −1.88785e6 3.26985e6i −0.558031 0.966538i −0.997661 0.0683591i \(-0.978224\pi\)
0.439630 0.898179i \(-0.355110\pi\)
\(410\) 1.25489e6 1.31014e6i 0.368677 0.384910i
\(411\) −3.29978e6 5.68091e6i −0.963564 1.65887i
\(412\) −3.41004e6 + 146979.i −0.989729 + 0.0426593i
\(413\) 125425.i 0.0361835i
\(414\) −1.83418e6 + 1.93517e6i −0.525946 + 0.554905i
\(415\) 1.61412e6i 0.460062i
\(416\) 3.73612e6 4.64183e6i 1.05849 1.31509i
\(417\) 5.98514e6 15706.1i 1.68552 0.00442313i
\(418\) −2.16942e6 2.07792e6i −0.607298 0.581686i
\(419\) 984571. + 1.70533e6i 0.273976 + 0.474540i 0.969876 0.243598i \(-0.0783279\pi\)
−0.695901 + 0.718138i \(0.744995\pi\)
\(420\) −27600.4 43127.0i −0.00763470 0.0119296i
\(421\) 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
\(426\) −4.15558e6 3.95947e6i −1.10945 1.05709i
\(427\) 21476.3 12399.3i 0.00570019 0.00329100i
\(428\) −764640. 398589.i −0.201766 0.105176i
\(429\) −6.79517e6 3.89945e6i −1.78261 1.02296i
\(430\) −3.30403e6 809469.i −0.861734 0.211120i
\(431\) −1.70261e6 −0.441492 −0.220746 0.975331i \(-0.570849\pi\)
−0.220746 + 0.975331i \(0.570849\pi\)
\(432\) −3.16231e6 + 2.24627e6i −0.815258 + 0.579098i
\(433\) −1.19651e6 −0.306688 −0.153344 0.988173i \(-0.549004\pi\)
−0.153344 + 0.988173i \(0.549004\pi\)
\(434\) −102997. 25233.8i −0.0262483 0.00643069i
\(435\) 133647. + 76694.2i 0.0338638 + 0.0194330i
\(436\) 2.02330e6 + 1.05470e6i 0.509734 + 0.265712i
\(437\) −1.82577e6 + 1.05411e6i −0.457342 + 0.264047i
\(438\) −776103. 739476.i −0.193301 0.184179i
\(439\) −2.13579e6 1.23310e6i −0.528929 0.305377i 0.211651 0.977345i \(-0.432116\pi\)
−0.740580 + 0.671968i \(0.765449\pi\)
\(440\) −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 \(-0.630493\pi\)
0.993550 0.113397i \(-0.0361733\pi\)
\(444\) 2.63223e6 + 4.11300e6i 0.633675 + 0.990150i
\(445\) −1.99918e6 3.46268e6i −0.478577 0.828919i
\(446\) 3.70733e6 + 3.55098e6i 0.882519 + 0.845300i
\(447\) 5.09887e6 13380.4i 1.20699 0.00316738i
\(448\) −40960.5 + 98421.2i −0.00964207 + 0.0231683i
\(449\) 95563.2i 0.0223705i −0.999937 0.0111852i \(-0.996440\pi\)
0.999937 0.0111852i \(-0.00356044\pi\)
\(450\) 2.84681e6 + 681634.i 0.662716 + 0.158679i
\(451\) 4.96624e6i 1.14971i
\(452\) 1.21088e6 52191.4i 0.278776 0.0120158i
\(453\) 3.40541e6 + 5.86276e6i 0.779694 + 1.34232i
\(454\) −1.53267e6 + 1.60015e6i −0.348987 + 0.364353i
\(455\) −52793.6 91441.2i −0.0119551 0.0207068i
\(456\) −2.90249e6 + 991050.i −0.653669 + 0.223195i
\(457\) 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 \(0.687782\pi\)
\(462\) 136227. + 32996.1i 0.0296932 + 0.00719213i
\(463\) −813063. + 469422.i −0.176267 + 0.101768i −0.585538 0.810645i \(-0.699117\pi\)
0.409270 + 0.912413i \(0.365783\pi\)
\(464\) −27604.2 319625.i −0.00595224 0.0689200i
\(465\) −2.45060e6 + 1.42344e6i −0.525582 + 0.305286i
\(466\) −682247. + 2.78475e6i −0.145538 + 0.594047i
\(467\) −6.03297e6 −1.28009 −0.640043 0.768339i \(-0.721083\pi\)
−0.640043 + 0.768339i \(0.721083\pi\)
\(468\) −6.72593e6 + 4.32937e6i −1.41951 + 0.913714i
\(469\) −16644.4 −0.00349412
\(470\) 953194. 3.89068e6i 0.199038 0.812421i
\(471\) −556.257 211973.i −0.000115538 0.0440279i
\(472\) 1.36724e6 6.84364e6i 0.282481 1.41394i
\(473\) 8.06458e6 4.65609e6i 1.65741 0.956904i
\(474\) 1.86666e6 + 6.34877e6i 0.381610 + 1.29791i
\(475\) 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 −0.975072 0.221890i \(-0.928777\pi\)
0.679698 + 0.733492i \(0.262111\pi\)
\(480\) 1.03585e6 + 2.65402e6i 0.205208 + 0.525777i
\(481\) 5.03489e6 + 8.72069e6i 0.992265 + 1.71865i
\(482\) 2.08909e6 2.18107e6i 0.409581 0.427615i
\(483\) 48960.3 85318.0i 0.00954941 0.0166408i
\(484\) −107019. 2.48292e6i −0.0207657 0.481781i
\(485\) 1.95364e6i 0.377128i
\(486\) 4.97989e6 1.52116e6i 0.956377 0.292135i
\(487\) 7.19915e6i 1.37549i −0.725950 0.687747i \(-0.758600\pi\)
0.725950 0.687747i \(-0.241400\pi\)
\(488\) −1.30698e6 + 442441.i −0.248439 + 0.0841019i
\(489\) −3.67272e6 + 6.40007e6i −0.694570 + 1.21035i
\(490\) −2.16494e6 2.07364e6i −0.407340 0.390161i
\(491\) −1.94528e6 3.36932e6i −0.364148 0.630723i 0.624491 0.781032i \(-0.285306\pi\)
−0.988639 + 0.150309i \(0.951973\pi\)
\(492\) 4.50232e6 + 2.33195e6i 0.838540 + 0.434316i
\(493\) 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
\(498\) −4.32808e6 + 1.27254e6i −0.782027 + 0.229931i
\(499\) 3.16514e6 1.82739e6i 0.569038 0.328534i −0.187727 0.982221i \(-0.560112\pi\)
0.756765 + 0.653687i \(0.226779\pi\)
\(500\) 2.45228e6 4.70437e6i 0.438676 0.841543i
\(501\) −6125.24 2.33415e6i −0.00109026 0.415464i
\(502\) −7.70792e6 1.88839e6i −1.36514 0.334452i
\(503\) −6.99423e6 −1.23259 −0.616297 0.787514i \(-0.711368\pi\)
−0.616297 + 0.787514i \(0.711368\pi\)
\(504\) 93880.4 108008.i 0.0164626 0.0189399i
\(505\) −2.75939e6 −0.481488
\(506\) −5.20694e6 1.27567e6i −0.904079 0.221494i
\(507\) −9.25832e6 + 5.37774e6i −1.59960 + 0.929137i
\(508\) 981990. 1.88382e6i 0.168829 0.323877i
\(509\) −6.20968e6 + 3.58516e6i −1.06237 + 0.613358i −0.926086 0.377312i \(-0.876848\pi\)
−0.136281 + 0.990670i \(0.543515\pi\)
\(510\) −356623. + 1.47234e6i −0.0607132 + 0.250659i
\(511\) 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
\(516\) −434336. 9.49755e6i −0.0718127 1.57032i
\(517\) 5.48280e6 + 9.49649e6i 0.902144 + 1.56256i
\(518\) −130104. 124617.i −0.0213042 0.0204057i
\(519\) 1.33071e6 + 2.29095e6i 0.216852 + 0.373333i
\(520\) 1.88382e6 + 5.56484e6i 0.305513 + 0.902493i
\(521\) 6.81856e6i 1.10052i 0.834993 + 0.550261i \(0.185472\pi\)
−0.834993 + 0.550261i \(0.814528\pi\)
\(522\) −100282. + 418823.i −0.0161082 + 0.0672750i
\(523\) 5.81403e6i 0.929444i 0.885457 + 0.464722i \(0.153846\pi\)
−0.885457 + 0.464722i \(0.846154\pi\)
\(524\) −77628.1 1.80103e6i −0.0123507 0.286545i
\(525\) −107996. + 283.403i −0.0171006 + 4.48752e-5i
\(526\) 3.63329e6 3.79326e6i 0.572579 0.597790i
\(527\) 1.56873e6 + 2.71713e6i 0.246050 + 0.426171i
\(528\) −7.07331e6 3.28536e6i −1.10418 0.512859i
\(529\) 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
\(534\) 7.70865e6 8.09046e6i 1.16984 1.22778i
\(535\) 736292. 425098.i 0.111216 0.0642103i
\(536\) 908178. + 181438.i 0.136540 + 0.0272782i
\(537\) −1.24151e6 712450.i −0.185787 0.106615i
\(538\) −1.63678e6 + 6.68088e6i −0.243800 + 0.995125i
\(539\) 8.20646e6 1.21670
\(540\) −194766. 3.81954e6i −0.0287428 0.563672i
\(541\) −6.49473e6 −0.954043 −0.477021 0.878892i \(-0.658284\pi\)
−0.477021 + 0.878892i \(0.658284\pi\)
\(542\) −2.72573e6 + 1.11257e7i −0.398552 + 1.62678i
\(543\) 8.66337e6 + 4.97153e6i 1.26092 + 0.723587i
\(544\) 2.94121e6 1.13905e6i 0.426116 0.165024i
\(545\) −1.94829e6 + 1.12484e6i −0.280971 + 0.162219i
\(546\) 203567. 213650.i 0.0292231 0.0306705i
\(547\) 3.41406e6 + 1.97111e6i 0.487868 + 0.281671i 0.723690 0.690126i \(-0.242445\pi\)
−0.235822 + 0.971796i \(0.575778\pi\)
\(548\) −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
\(552\) −3.60148e6 + 4.12153e6i −0.503075 + 0.575720i
\(553\) −122071. 211432.i −0.0169745 0.0294008i
\(554\) −1.50941e6 + 1.57587e6i −0.208945 + 0.218145i
\(555\) −4.81466e6 + 12634.6i −0.663489 + 0.00174112i
\(556\) 1.22749e7 529075.i 1.68396 0.0725822i
\(557\) 9.50351e6i 1.29791i −0.760825 0.648957i \(-0.775205\pi\)
0.760825 0.648957i \(-0.224795\pi\)
\(558\) −5.74879e6 5.44878e6i −0.781612 0.740822i
\(559\) 1.96057e7i 2.65371i
\(560\) −60192.0 86167.5i −0.00811089 0.0116111i
\(561\) −2.08294e6 3.58599e6i −0.279428 0.481063i
\(562\) 672850. + 644474.i 0.0898623 + 0.0860725i
\(563\) −1.12664e6 1.95140e6i −0.149801 0.259463i 0.781353 0.624089i \(-0.214530\pi\)
−0.931154 + 0.364627i \(0.881197\pi\)
\(564\) 1.11839e7 511454.i 1.48045 0.0677031i
\(565\) −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 \(0.945628\pi\)
\(570\) 711871. 2.93902e6i 0.0917729 0.378891i
\(571\) −5.96127e6 + 3.44174e6i −0.765154 + 0.441762i −0.831143 0.556059i \(-0.812313\pi\)
0.0659893 + 0.997820i \(0.478980\pi\)
\(572\) −1.42614e7 7.43415e6i −1.82252 0.950038i
\(573\) −3.74320e6 + 2.17425e6i −0.476274 + 0.276646i
\(574\) −181690. 44513.0i −0.0230171 0.00563906i
\(575\) 4.13056e6 0.521002
\(576\) −6.29981e6 + 4.86989e6i −0.791172 + 0.611593i
\(577\) 7.44098e6 0.930444 0.465222 0.885194i \(-0.345974\pi\)
0.465222 + 0.885194i \(0.345974\pi\)
\(578\) −6.17226e6 1.51217e6i −0.768466 0.188270i
\(579\) −35398.9 1.34895e7i −0.00438827 1.67224i
\(580\) 280493. + 146214.i 0.0346220 + 0.0180476i
\(581\) 144138. 83217.9i 0.0177148 0.0102277i
\(582\) 5.23844e6 1.54021e6i 0.641054 0.188483i
\(583\) −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 −0.946774 0.321898i \(-0.895679\pi\)
0.752159 + 0.658982i \(0.229013\pi\)
\(588\) 3.85343e6 7.43986e6i 0.459625 0.887404i
\(589\) −3.13142e6 5.42379e6i −0.371924 0.644191i
\(590\) 4.96925e6 + 4.75968e6i 0.587707 + 0.562921i
\(591\) −1.90903e6 + 3.32667e6i −0.224825 + 0.391779i
\(592\) 5.74047e6 + 8.21774e6i 0.673199 + 0.963714i
\(593\) 944104.i 0.110251i 0.998479 + 0.0551256i \(0.0175559\pi\)
−0.998479 + 0.0551256i \(0.982444\pi\)
\(594\) 7.61751e6 + 7.18212e6i 0.885823 + 0.835193i
\(595\) 55890.3i 0.00647208i
\(596\) 1.04573e7 450730.i 1.20588 0.0519758i
\(597\) −2.19824e6 + 3.83065e6i −0.252429 + 0.439882i
\(598\) −7.80727e6 + 8.15102e6i −0.892783 + 0.932093i
\(599\) 97761.8 + 169328.i 0.0111327 + 0.0192825i 0.871538 0.490328i \(-0.163123\pi\)
−0.860405 + 0.509610i \(0.829790\pi\)
\(600\) 5.89574e6 + 1.16179e6i 0.668591 + 0.131749i
\(601\) 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
\(606\) −2.17545e6 7.39899e6i −0.240640 0.818447i
\(607\) 682314. 393934.i 0.0751644 0.0433962i −0.461947 0.886908i \(-0.652849\pi\)
0.537111 + 0.843511i \(0.319516\pi\)
\(608\) −5.87108e6 + 2.27372e6i −0.644109 + 0.249446i
\(609\) −41.6942 15888.4i −4.55547e−6 0.00173595i
\(610\) 323736. 1.32140e6i 0.0352263 0.143784i
\(611\) 2.30868e7 2.50185
\(612\) −4.22907e6 + 204523.i −0.456422 + 0.0220732i
\(613\) −261841. −0.0281441 −0.0140720 0.999901i \(-0.504479\pi\)
−0.0140720 + 0.999901i \(0.504479\pi\)
\(614\) −1.90218e6 + 7.76421e6i −0.203625 + 0.831144i
\(615\) −4.32292e6 + 2.51099e6i −0.460882 + 0.267705i
\(616\) 282157. + 56370.0i 0.0299598 + 0.00598545i
\(617\) −3.01771e6 + 1.74228e6i −0.319128 + 0.184249i −0.651004 0.759074i \(-0.725652\pi\)
0.331876 + 0.943323i \(0.392318\pi\)
\(618\) 9.14136e6 + 2.21417e6i 0.962808 + 0.233206i
\(619\) −1.28016e7 7.39099e6i −1.34288 0.775311i −0.355649 0.934620i \(-0.615740\pi\)
−0.987229 + 0.159309i \(0.949073\pi\)
\(620\) −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
\(624\) −1.34363e7 + 9.43842e6i −1.38139 + 0.970372i
\(625\) −712009. 1.23324e6i −0.0729097 0.126283i
\(626\) −1.54357e6 + 1.61154e6i −0.157431 + 0.164363i
\(627\) 4.15785e6 + 7.15816e6i 0.422377 + 0.727165i
\(628\) −18738.0 434736.i −0.00189594 0.0439872i
\(629\) 5.33022e6i 0.537178i
\(630\) 40156.0 + 135263.i 0.00403088 + 0.0135778i
\(631\) 5.75639e6i 0.575541i 0.957699 + 0.287771i \(0.0929141\pi\)
−0.957699 + 0.287771i \(0.907086\pi\)
\(632\) 4.35580e6 + 1.28671e7i 0.433786 + 1.28141i
\(633\) −6.65875e6 + 17473.8i −0.660516 + 0.00173332i
\(634\) −667799. 639636.i −0.0659816 0.0631989i
\(635\) 1.04730e6 + 1.81398e6i 0.103071 + 0.178524i
\(636\) −4.91224e6 + 3.14373e6i −0.481545 + 0.308179i
\(637\) 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 \(0.399780\pi\)
\(642\) 1.72033e6 + 1.63914e6i 0.164730 + 0.156956i
\(643\) −1.40298e7 + 8.10012e6i −1.33821 + 0.772617i −0.986542 0.163507i \(-0.947719\pi\)
−0.351669 + 0.936124i \(0.614386\pi\)
\(644\) 93340.9 179062.i 0.00886864 0.0170133i
\(645\) 8.13049e6 + 4.66574e6i 0.769516 + 0.441592i
\(646\) −3.25164e6 796632.i −0.306564 0.0751063i
\(647\) 5.07623e6 0.476739 0.238369 0.971175i \(-0.423387\pi\)
0.238369 + 0.971175i \(0.423387\pi\)
\(648\) 1.00881e7 3.53348e6i 0.943781 0.330572i
\(649\) −1.88365e7 −1.75545
\(650\) 1.20357e7 + 2.94868e6i 1.11735 + 0.273743i
\(651\) 253454. + 145446.i 0.0234394 + 0.0134508i
\(652\) −7.00190e6 + 1.34322e7i −0.645055 + 1.23745i
\(653\) 1.12780e6 651134.i 0.103502 0.0597569i −0.447356 0.894356i \(-0.647634\pi\)
0.550857 + 0.834599i \(0.314301\pi\)
\(654\) −4.55213e6 4.33730e6i −0.416169 0.396529i
\(655\) 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 \(-0.548929\pi\)
0.932369 0.361508i \(-0.117738\pi\)
\(660\) 6.47685e6 4.14505e6i 0.578767 0.370399i
\(661\) −3.21752e6 5.57291e6i −0.286430 0.496111i 0.686525 0.727106i \(-0.259135\pi\)
−0.972955 + 0.230995i \(0.925802\pi\)
\(662\) −3.28369e6 3.14520e6i −0.291217 0.278935i
\(663\) −8.73109e6 + 22912.0i −0.771409 + 0.00202432i
\(664\) −8.77178e6 + 2.96943e6i −0.772089 + 0.261369i
\(665\) 111565.i 0.00978306i
\(666\) −3.82966e6 1.29000e7i −0.334560 1.12695i
\(667\) 607687.i 0.0528890i
\(668\) −206334. 4.78711e6i −0.0178908 0.415081i
\(669\) −7.10538e6 1.22326e7i −0.613793 1.05671i
\(670\) −631628. + 659439.i −0.0543594 + 0.0567528i
\(671\) 1.86214e6 + 3.22532e6i 0.159664 + 0.276546i
\(672\) 183594. 229330.i 0.0156832 0.0195902i
\(673\) −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 \(0.613043\pi\)
\(678\) −3.24603e6 786235.i −0.271193 0.0656868i
\(679\) −174455. + 100722.i −0.0145214 + 0.00838396i
\(680\) −609249. + 3.04956e6i −0.0505269 + 0.252910i
\(681\) 5.27984e6 3.06682e6i 0.436268 0.253408i
\(682\) 3.78962e6 1.54682e7i 0.311986 1.27344i
\(683\) −189908. −0.0155773 −0.00778864 0.999970i \(-0.502479\pi\)
−0.00778864 + 0.999970i \(0.502479\pi\)
\(684\) 8.44185e6 408259.i 0.689918 0.0333653i
\(685\) 1.32972e7 1.08276
\(686\) −147157. + 600656.i −0.0119391 + 0.0487322i
\(687\) −19695.7 7.50544e6i −0.00159213 0.606715i
\(688\) −1.67932e6 1.94446e7i −0.135258 1.56613i
\(689\) −1.04153e7 + 6.01328e6i −0.835842 + 0.482574i
\(690\) −1.52227e6 5.17744e6i −0.121722 0.413992i
\(691\) 1.27744e7 + 7.37528e6i 1.01776 + 0.587602i 0.913454 0.406943i \(-0.133405\pi\)
0.104304 + 0.994545i \(0.466739\pi\)
\(692\) 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
\(696\) −170922. + 867381.i −0.0133744 + 0.0678714i
\(697\) 2.76729e6 + 4.79308e6i 0.215761 + 0.373709i
\(698\) −1.51861e6 + 1.58548e6i −0.117980 + 0.123175i
\(699\) 3.93243e6 6.85264e6i 0.304417 0.530475i
\(700\) −221490. + 9546.67i −0.0170848 + 0.000736388i
\(701\) 1.07971e7i 0.829870i −0.909851 0.414935i \(-0.863804\pi\)
0.909851 0.414935i \(-0.136196\pi\)
\(702\) 2.11142e7 6.32857e6i 1.61708 0.484688i
\(703\) 1.06399e7i 0.811988i
\(704\) −1.47810e7 6.15148e6i −1.12401 0.467787i
\(705\) −5.49416e6 + 9.57410e6i −0.416321 + 0.725480i
\(706\) −6.33645e6 6.06922e6i −0.478448 0.458270i
\(707\) 142264. + 246408.i 0.0107040 + 0.0185398i
\(708\) −8.84486e6 + 1.70769e7i −0.663144 + 1.28034i
\(709\) −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
\(714\) 149863. 44062.7i 0.0110014 0.00323464i
\(715\) 1.37327e7 7.92858e6i 1.00460 0.580003i
\(716\) −2.60564e6 1.35826e6i −0.189947 0.0990146i
\(717\) 12282.7 + 4.68057e6i 0.000892269 + 0.340017i
\(718\) 1.99718e7 + 4.89297e6i 1.44579 + 0.354211i
\(719\) −2.43648e7 −1.75769 −0.878843 0.477111i \(-0.841684\pi\)
−0.878843 + 0.477111i \(0.841684\pi\)
\(720\) −716569. 7.81817e6i −0.0515142 0.562048i
\(721\) −347006. −0.0248599
\(722\) −7.11385e6 1.74285e6i −0.507881 0.124428i
\(723\) −7.19663e6 + 4.18020e6i −0.512016 + 0.297407i
\(724\) 1.81823e7 + 9.47802e6i 1.28915 + 0.672003i
\(725\) 577787. 333585.i 0.0408247 0.0235701i
\(726\) −1.61218e6 + 6.65602e6i −0.113520 + 0.468676i
\(727\) −8.20393e6 4.73654e6i −0.575686 0.332372i 0.183731 0.982977i \(-0.441182\pi\)
−0.759417 + 0.650604i \(0.774516\pi\)
\(728\) 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
\(732\) 3.79842e6 173707.i 0.262014 0.0119823i
\(733\) 2.49849e6 + 4.32752e6i 0.171758 + 0.297494i 0.939035 0.343822i \(-0.111722\pi\)
−0.767276 + 0.641317i \(0.778388\pi\)
\(734\) 1.72879e6 + 1.65588e6i 0.118441 + 0.113446i
\(735\) 4.14928e6 + 7.14341e6i 0.283305 + 0.487739i
\(736\) −7.04492e6 + 8.75275e6i −0.479382 + 0.595593i
\(737\) 2.49968e6i 0.169518i
\(738\) −1.01410e7 9.61179e6i −0.685395 0.649626i
\(739\) 1.74764e7i 1.17718i 0.808433 + 0.588588i \(0.200316\pi\)
−0.808433 + 0.588588i \(0.799684\pi\)
\(740\) −9.87441e6 + 425607.i −0.662876 + 0.0285713i
\(741\) 1.74285e7 45735.8i 1.16605 0.00305992i
\(742\) 148832. 155386.i 0.00992402 0.0103610i
\(743\) −1.71665e6 2.97332e6i −0.114080 0.197592i 0.803332 0.595532i \(-0.203059\pi\)
−0.917412 + 0.397940i \(0.869725\pi\)
\(744\) −1.22438e7 1.06989e7i −0.810931 0.708608i
\(745\) −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
\(750\) −1.00846e7 + 1.05841e7i −0.654648 + 0.687072i
\(751\) 4.54796e6 2.62576e6i 0.294250 0.169885i −0.345607 0.938379i \(-0.612327\pi\)
0.639857 + 0.768494i \(0.278994\pi\)
\(752\) 2.28970e7 1.97749e6i 1.47650 0.127517i
\(753\) 1.89675e7 + 1.08846e7i 1.21905 + 0.699560i
\(754\) −433809. + 1.77069e6i −0.0277888 + 0.113426i
\(755\) −1.37228e7 −0.876146
\(756\) −331035. + 214312.i −0.0210654 + 0.0136378i
\(757\) 2.98204e7 1.89136 0.945679 0.325102i \(-0.105399\pi\)
0.945679 + 0.325102i \(0.105399\pi\)
\(758\) 3.70859e6 1.51375e7i 0.234442 0.956930i
\(759\) 1.28131e7 + 7.35290e6i 0.807329 + 0.463291i
\(760\) 1.21615e6 6.08738e6i 0.0763754 0.382293i
\(761\) 3.94493e6 2.27761e6i 0.246932 0.142566i −0.371427 − <