Properties

Label 33.6.f.a.2.15
Level $33$
Weight $6$
Character 33.2
Analytic conductor $5.293$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 33 = 3 \cdot 11 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 33.f (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.29266605383\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(18\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 2.15
Character \(\chi\) \(=\) 33.2
Dual form 33.6.f.a.17.15

$q$-expansion

\(f(q)\) \(=\) \(q+(2.32473 - 7.15479i) q^{2} +(4.56497 + 14.9051i) q^{3} +(-19.8981 - 14.4568i) q^{4} +(28.0945 - 9.12845i) q^{5} +(117.255 + 1.98889i) q^{6} +(146.291 - 201.352i) q^{7} +(45.0663 - 32.7426i) q^{8} +(-201.322 + 136.082i) q^{9} +O(q^{10})\) \(q+(2.32473 - 7.15479i) q^{2} +(4.56497 + 14.9051i) q^{3} +(-19.8981 - 14.4568i) q^{4} +(28.0945 - 9.12845i) q^{5} +(117.255 + 1.98889i) q^{6} +(146.291 - 201.352i) q^{7} +(45.0663 - 32.7426i) q^{8} +(-201.322 + 136.082i) q^{9} -222.231i q^{10} +(-183.551 + 356.876i) q^{11} +(124.645 - 362.577i) q^{12} +(277.377 + 90.1254i) q^{13} +(-1100.55 - 1514.77i) q^{14} +(264.311 + 377.079i) q^{15} +(-372.711 - 1147.09i) q^{16} +(322.736 + 993.279i) q^{17} +(505.621 + 1756.77i) q^{18} +(-986.663 - 1358.02i) q^{19} +(-690.994 - 224.518i) q^{20} +(3668.98 + 1261.31i) q^{21} +(2126.66 + 2142.91i) q^{22} +3499.82i q^{23} +(693.756 + 522.247i) q^{24} +(-1822.21 + 1323.91i) q^{25} +(1289.66 - 1775.06i) q^{26} +(-2947.35 - 2379.51i) q^{27} +(-5821.82 + 1891.62i) q^{28} +(-2333.85 - 1695.64i) q^{29} +(3312.37 - 1014.48i) q^{30} +(-577.959 + 1778.78i) q^{31} -7291.07 q^{32} +(-6157.16 - 1106.71i) q^{33} +7856.97 q^{34} +(2271.94 - 6992.30i) q^{35} +(5973.24 + 202.696i) q^{36} +(2271.81 + 1650.56i) q^{37} +(-12010.1 + 3902.32i) q^{38} +(-77.1056 + 4545.75i) q^{39} +(967.225 - 1331.27i) q^{40} +(-902.939 + 656.024i) q^{41} +(17553.8 - 23318.6i) q^{42} +9314.82i q^{43} +(8811.58 - 4447.58i) q^{44} +(-4413.82 + 5660.92i) q^{45} +(25040.5 + 8136.15i) q^{46} +(293.328 + 403.731i) q^{47} +(15396.0 - 10791.7i) q^{48} +(-13948.0 - 42927.7i) q^{49} +(5236.16 + 16115.2i) q^{50} +(-13331.6 + 9344.69i) q^{51} +(-4216.35 - 5803.31i) q^{52} +(-6547.64 - 2127.46i) q^{53} +(-23876.7 + 15555.9i) q^{54} +(-1899.04 + 11701.8i) q^{55} -13864.1i q^{56} +(15737.4 - 20905.6i) q^{57} +(-17557.5 + 12756.3i) q^{58} +(-7961.46 + 10958.0i) q^{59} +(192.083 - 11324.2i) q^{60} +(-25467.4 + 8274.86i) q^{61} +(11383.2 + 8270.35i) q^{62} +(-2051.12 + 60444.3i) q^{63} +(-5023.00 + 15459.2i) q^{64} +8615.48 q^{65} +(-22232.0 + 41480.4i) q^{66} +37885.3 q^{67} +(7937.81 - 24430.1i) q^{68} +(-52165.1 + 15976.6i) q^{69} +(-44746.8 - 32510.4i) q^{70} +(47007.4 - 15273.6i) q^{71} +(-4617.15 + 12724.5i) q^{72} +(40068.4 - 55149.4i) q^{73} +(17090.8 - 12417.2i) q^{74} +(-28051.3 - 21116.5i) q^{75} +41286.0i q^{76} +(45005.9 + 89166.0i) q^{77} +(32344.6 + 11119.3i) q^{78} +(-30867.9 - 10029.6i) q^{79} +(-20942.3 - 28824.6i) q^{80} +(22012.2 - 54792.8i) q^{81} +(2594.62 + 7985.42i) q^{82} +(-3047.01 - 9377.72i) q^{83} +(-54771.2 - 78139.4i) q^{84} +(18134.2 + 24959.6i) q^{85} +(66645.5 + 21654.4i) q^{86} +(14619.7 - 42526.8i) q^{87} +(3413.08 + 22093.0i) q^{88} +78138.1i q^{89} +(30241.8 + 44740.1i) q^{90} +(58724.8 - 42666.1i) q^{91} +(50596.2 - 69639.8i) q^{92} +(-29151.1 - 494.465i) q^{93} +(3570.52 - 1160.13i) q^{94} +(-40116.4 - 29146.3i) q^{95} +(-33283.5 - 108674. i) q^{96} +(8744.18 - 26911.8i) q^{97} -339564. q^{98} +(-11611.7 - 96824.9i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72q + 18q^{3} - 262q^{4} + 15q^{6} - 10q^{7} + 292q^{9} + O(q^{10}) \) \( 72q + 18q^{3} - 262q^{4} + 15q^{6} - 10q^{7} + 292q^{9} + 1854q^{12} - 10q^{13} - 762q^{15} - 10122q^{16} + 4815q^{18} + 4460q^{19} + 4628q^{22} - 805q^{24} + 13708q^{25} + 6108q^{27} - 28130q^{28} - 15470q^{30} + 4340q^{31} - 508q^{33} + 18732q^{34} - 56461q^{36} + 978q^{37} + 23360q^{39} + 69750q^{40} + 60788q^{42} - 31356q^{45} - 52090q^{46} + 4238q^{48} - 58448q^{49} - 178950q^{51} - 14190q^{52} + 86600q^{55} + 266190q^{57} + 137102q^{58} + 284090q^{60} - 77890q^{61} - 120330q^{63} - 379114q^{64} - 323304q^{66} + 42668q^{67} - 271816q^{69} + 87176q^{70} + 343960q^{72} + 116440q^{73} + 326202q^{75} + 155512q^{78} - 350590q^{79} - 208088q^{81} - 606424q^{82} - 220680q^{84} + 665610q^{85} + 1152974q^{88} + 293440q^{90} + 621014q^{91} + 478456q^{93} - 521270q^{94} - 1246430q^{96} - 1030446q^{97} - 590000q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).

\(n\) \(13\) \(23\)
\(\chi(n)\) \(e\left(\frac{1}{10}\right)\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.32473 7.15479i 0.410958 1.26480i −0.504858 0.863202i \(-0.668455\pi\)
0.915816 0.401597i \(-0.131545\pi\)
\(3\) 4.56497 + 14.9051i 0.292843 + 0.956161i
\(4\) −19.8981 14.4568i −0.621815 0.451775i
\(5\) 28.0945 9.12845i 0.502569 0.163295i −0.0467509 0.998907i \(-0.514887\pi\)
0.549320 + 0.835612i \(0.314887\pi\)
\(6\) 117.255 + 1.98889i 1.32970 + 0.0225545i
\(7\) 146.291 201.352i 1.12842 1.55314i 0.337398 0.941362i \(-0.390453\pi\)
0.791027 0.611781i \(-0.209547\pi\)
\(8\) 45.0663 32.7426i 0.248958 0.180879i
\(9\) −201.322 + 136.082i −0.828486 + 0.560010i
\(10\) 222.231i 0.702757i
\(11\) −183.551 + 356.876i −0.457377 + 0.889273i
\(12\) 124.645 362.577i 0.249875 0.726854i
\(13\) 277.377 + 90.1254i 0.455211 + 0.147907i 0.527643 0.849466i \(-0.323076\pi\)
−0.0724318 + 0.997373i \(0.523076\pi\)
\(14\) −1100.55 1514.77i −1.50068 2.06551i
\(15\) 264.311 + 377.079i 0.303310 + 0.432717i
\(16\) −372.711 1147.09i −0.363976 1.12020i
\(17\) 322.736 + 993.279i 0.270848 + 0.833583i 0.990288 + 0.139029i \(0.0443982\pi\)
−0.719441 + 0.694554i \(0.755602\pi\)
\(18\) 505.621 + 1756.77i 0.367827 + 1.27801i
\(19\) −986.663 1358.02i −0.627025 0.863025i 0.370816 0.928706i \(-0.379078\pi\)
−0.997841 + 0.0656809i \(0.979078\pi\)
\(20\) −690.994 224.518i −0.386277 0.125509i
\(21\) 3668.98 + 1261.31i 1.81551 + 0.624128i
\(22\) 2126.66 + 2142.91i 0.936790 + 0.943944i
\(23\) 3499.82i 1.37952i 0.724040 + 0.689758i \(0.242283\pi\)
−0.724040 + 0.689758i \(0.757717\pi\)
\(24\) 693.756 + 522.247i 0.245855 + 0.185075i
\(25\) −1822.21 + 1323.91i −0.583106 + 0.423651i
\(26\) 1289.66 1775.06i 0.374146 0.514967i
\(27\) −2947.35 2379.51i −0.778075 0.628171i
\(28\) −5821.82 + 1891.62i −1.40334 + 0.455974i
\(29\) −2333.85 1695.64i −0.515321 0.374403i 0.299517 0.954091i \(-0.403174\pi\)
−0.814838 + 0.579688i \(0.803174\pi\)
\(30\) 3312.37 1014.48i 0.671948 0.205797i
\(31\) −577.959 + 1778.78i −0.108017 + 0.332443i −0.990427 0.138039i \(-0.955920\pi\)
0.882410 + 0.470482i \(0.155920\pi\)
\(32\) −7291.07 −1.25868
\(33\) −6157.16 1106.71i −0.984227 0.176908i
\(34\) 7856.97 1.16562
\(35\) 2271.94 6992.30i 0.313492 0.964828i
\(36\) 5973.24 + 202.696i 0.768163 + 0.0260669i
\(37\) 2271.81 + 1650.56i 0.272814 + 0.198211i 0.715777 0.698329i \(-0.246073\pi\)
−0.442963 + 0.896540i \(0.646073\pi\)
\(38\) −12010.1 + 3902.32i −1.34924 + 0.438393i
\(39\) −77.1056 + 4545.75i −0.00811754 + 0.478568i
\(40\) 967.225 1331.27i 0.0955823 0.131558i
\(41\) −902.939 + 656.024i −0.0838878 + 0.0609481i −0.628939 0.777455i \(-0.716510\pi\)
0.545051 + 0.838403i \(0.316510\pi\)
\(42\) 17553.8 23318.6i 1.53549 2.03976i
\(43\) 9314.82i 0.768251i 0.923281 + 0.384126i \(0.125497\pi\)
−0.923281 + 0.384126i \(0.874503\pi\)
\(44\) 8811.58 4447.58i 0.686155 0.346332i
\(45\) −4413.82 + 5660.92i −0.324925 + 0.416731i
\(46\) 25040.5 + 8136.15i 1.74481 + 0.566924i
\(47\) 293.328 + 403.731i 0.0193691 + 0.0266592i 0.818592 0.574376i \(-0.194755\pi\)
−0.799223 + 0.601035i \(0.794755\pi\)
\(48\) 15396.0 10791.7i 0.964506 0.676063i
\(49\) −13948.0 42927.7i −0.829895 2.55415i
\(50\) 5236.16 + 16115.2i 0.296202 + 0.911616i
\(51\) −13331.6 + 9344.69i −0.717724 + 0.503083i
\(52\) −4216.35 5803.31i −0.216236 0.297624i
\(53\) −6547.64 2127.46i −0.320181 0.104033i 0.144517 0.989502i \(-0.453837\pi\)
−0.464698 + 0.885469i \(0.653837\pi\)
\(54\) −23876.7 + 15555.9i −1.11427 + 0.725958i
\(55\) −1899.04 + 11701.8i −0.0846499 + 0.521609i
\(56\) 13864.1i 0.590776i
\(57\) 15737.4 20905.6i 0.641571 0.852267i
\(58\) −17557.5 + 12756.3i −0.685320 + 0.497914i
\(59\) −7961.46 + 10958.0i −0.297757 + 0.409828i −0.931514 0.363704i \(-0.881512\pi\)
0.633757 + 0.773532i \(0.281512\pi\)
\(60\) 192.083 11324.2i 0.00688828 0.406098i
\(61\) −25467.4 + 8274.86i −0.876315 + 0.284732i −0.712426 0.701747i \(-0.752404\pi\)
−0.163888 + 0.986479i \(0.552404\pi\)
\(62\) 11383.2 + 8270.35i 0.376083 + 0.273240i
\(63\) −2051.12 + 60444.3i −0.0651087 + 1.91869i
\(64\) −5023.00 + 15459.2i −0.153290 + 0.471778i
\(65\) 8615.48 0.252928
\(66\) −22232.0 + 41480.4i −0.628230 + 1.17215i
\(67\) 37885.3 1.03106 0.515529 0.856872i \(-0.327595\pi\)
0.515529 + 0.856872i \(0.327595\pi\)
\(68\) 7937.81 24430.1i 0.208175 0.640696i
\(69\) −52165.1 + 15976.6i −1.31904 + 0.403981i
\(70\) −44746.8 32510.4i −1.09148 0.793008i
\(71\) 47007.4 15273.6i 1.10667 0.359580i 0.302007 0.953306i \(-0.402343\pi\)
0.804668 + 0.593725i \(0.202343\pi\)
\(72\) −4617.15 + 12724.5i −0.104965 + 0.289275i
\(73\) 40068.4 55149.4i 0.880025 1.21125i −0.0963890 0.995344i \(-0.530729\pi\)
0.976414 0.215907i \(-0.0692707\pi\)
\(74\) 17090.8 12417.2i 0.362813 0.263599i
\(75\) −28051.3 21116.5i −0.575837 0.433480i
\(76\) 41286.0i 0.819916i
\(77\) 45005.9 + 89166.0i 0.865054 + 1.71385i
\(78\) 32344.6 + 11119.3i 0.601957 + 0.206939i
\(79\) −30867.9 10029.6i −0.556467 0.180807i 0.0172637 0.999851i \(-0.494505\pi\)
−0.573731 + 0.819044i \(0.694505\pi\)
\(80\) −20942.3 28824.6i −0.365846 0.503544i
\(81\) 22012.2 54792.8i 0.372778 0.927920i
\(82\) 2594.62 + 7985.42i 0.0426127 + 0.131148i
\(83\) −3047.01 9377.72i −0.0485488 0.149418i 0.923843 0.382771i \(-0.125030\pi\)
−0.972392 + 0.233353i \(0.925030\pi\)
\(84\) −54771.2 78139.4i −0.846943 1.20829i
\(85\) 18134.2 + 24959.6i 0.272239 + 0.374705i
\(86\) 66645.5 + 21654.4i 0.971684 + 0.315719i
\(87\) 14619.7 42526.8i 0.207081 0.602371i
\(88\) 3413.08 + 22093.0i 0.0469829 + 0.304122i
\(89\) 78138.1i 1.04565i 0.852439 + 0.522826i \(0.175122\pi\)
−0.852439 + 0.522826i \(0.824878\pi\)
\(90\) 30241.8 + 44740.1i 0.393551 + 0.582224i
\(91\) 58724.8 42666.1i 0.743392 0.540106i
\(92\) 50596.2 69639.8i 0.623231 0.857803i
\(93\) −29151.1 494.465i −0.349501 0.00592828i
\(94\) 3570.52 1160.13i 0.0416785 0.0135422i
\(95\) −40116.4 29146.3i −0.456051 0.331340i
\(96\) −33283.5 108674.i −0.368596 1.20350i
\(97\) 8744.18 26911.8i 0.0943604 0.290411i −0.892726 0.450600i \(-0.851210\pi\)
0.987086 + 0.160188i \(0.0512102\pi\)
\(98\) −339564. −3.57155
\(99\) −11611.7 96824.9i −0.119071 0.992886i
\(100\) 55397.9 0.553979
\(101\) 16562.1 50972.8i 0.161551 0.497204i −0.837214 0.546875i \(-0.815817\pi\)
0.998766 + 0.0496709i \(0.0158172\pi\)
\(102\) 35866.8 + 117109.i 0.341344 + 1.11452i
\(103\) 55026.2 + 39978.9i 0.511065 + 0.371311i 0.813228 0.581946i \(-0.197708\pi\)
−0.302162 + 0.953257i \(0.597708\pi\)
\(104\) 15451.3 5020.43i 0.140082 0.0455153i
\(105\) 114592. + 1943.72i 1.01433 + 0.0172053i
\(106\) −30443.0 + 41901.2i −0.263162 + 0.362211i
\(107\) 92278.0 67043.9i 0.779182 0.566109i −0.125552 0.992087i \(-0.540070\pi\)
0.904733 + 0.425978i \(0.140070\pi\)
\(108\) 24246.4 + 89956.8i 0.200027 + 0.742121i
\(109\) 168113.i 1.35530i 0.735386 + 0.677648i \(0.237001\pi\)
−0.735386 + 0.677648i \(0.762999\pi\)
\(110\) 79308.9 + 40790.7i 0.624943 + 0.321425i
\(111\) −14231.0 + 41396.2i −0.109630 + 0.318899i
\(112\) −285493. 92762.4i −2.15056 0.698758i
\(113\) −86340.0 118837.i −0.636086 0.875497i 0.362313 0.932056i \(-0.381987\pi\)
−0.998399 + 0.0565592i \(0.981987\pi\)
\(114\) −112990. 161197.i −0.814288 1.16171i
\(115\) 31948.0 + 98325.8i 0.225268 + 0.693302i
\(116\) 21925.6 + 67480.0i 0.151289 + 0.465618i
\(117\) −68106.7 + 19601.9i −0.459965 + 0.132384i
\(118\) 59893.9 + 82436.9i 0.395984 + 0.545026i
\(119\) 247212. + 80324.2i 1.60031 + 0.519971i
\(120\) 24258.0 + 8339.34i 0.153781 + 0.0528663i
\(121\) −93669.4 131009.i −0.581613 0.813465i
\(122\) 201451.i 1.22538i
\(123\) −13900.0 10463.6i −0.0828421 0.0623620i
\(124\) 37215.7 27038.8i 0.217356 0.157918i
\(125\) −93369.2 + 128512.i −0.534476 + 0.735643i
\(126\) 427698. + 155192.i 2.40000 + 0.870850i
\(127\) 340622. 110675.i 1.87397 0.608890i 0.884028 0.467435i \(-0.154822\pi\)
0.989945 0.141456i \(-0.0451784\pi\)
\(128\) −89824.8 65261.5i −0.484586 0.352073i
\(129\) −138838. + 42521.9i −0.734571 + 0.224977i
\(130\) 20028.7 61641.9i 0.103943 0.319903i
\(131\) −112651. −0.573528 −0.286764 0.958001i \(-0.592580\pi\)
−0.286764 + 0.958001i \(0.592580\pi\)
\(132\) 106516. + 111034.i 0.532084 + 0.554653i
\(133\) −417781. −2.04795
\(134\) 88073.1 271061.i 0.423722 1.30408i
\(135\) −104525. 39946.3i −0.493614 0.188644i
\(136\) 47067.0 + 34196.2i 0.218207 + 0.158537i
\(137\) −176643. + 57394.8i −0.804072 + 0.261259i −0.682085 0.731273i \(-0.738927\pi\)
−0.121987 + 0.992532i \(0.538927\pi\)
\(138\) −6960.78 + 410372.i −0.0311143 + 1.83434i
\(139\) −180137. + 247938.i −0.790800 + 1.08844i 0.203208 + 0.979136i \(0.434863\pi\)
−0.994008 + 0.109307i \(0.965137\pi\)
\(140\) −146293. + 106288.i −0.630819 + 0.458317i
\(141\) −4678.61 + 6215.09i −0.0198184 + 0.0263269i
\(142\) 371835.i 1.54749i
\(143\) −83076.3 + 82446.7i −0.339733 + 0.337158i
\(144\) 231133. + 180215.i 0.928874 + 0.724242i
\(145\) −81046.9 26333.7i −0.320123 0.104014i
\(146\) −301434. 414889.i −1.17034 1.61083i
\(147\) 576168. 403860.i 2.19915 1.54148i
\(148\) −21342.7 65686.1i −0.0800931 0.246501i
\(149\) −116598. 358852.i −0.430254 1.32419i −0.897872 0.440256i \(-0.854888\pi\)
0.467618 0.883931i \(-0.345112\pi\)
\(150\) −216296. + 151611.i −0.784910 + 0.550177i
\(151\) −34294.0 47201.6i −0.122398 0.168467i 0.743421 0.668824i \(-0.233202\pi\)
−0.865819 + 0.500357i \(0.833202\pi\)
\(152\) −88930.4 28895.2i −0.312206 0.101442i
\(153\) −200142. 156050.i −0.691208 0.538935i
\(154\) 742591. 114721.i 2.52318 0.389799i
\(155\) 55249.7i 0.184714i
\(156\) 67251.2 89336.9i 0.221253 0.293914i
\(157\) 185118. 134496.i 0.599376 0.435472i −0.246281 0.969198i \(-0.579209\pi\)
0.845657 + 0.533726i \(0.179209\pi\)
\(158\) −143519. + 197537.i −0.457370 + 0.629516i
\(159\) 1820.12 107305.i 0.00570961 0.336610i
\(160\) −204839. + 66556.1i −0.632575 + 0.205536i
\(161\) 704698. + 511993.i 2.14259 + 1.55668i
\(162\) −340858. 284871.i −1.02044 0.852826i
\(163\) 2745.36 8449.35i 0.00809339 0.0249089i −0.946928 0.321445i \(-0.895831\pi\)
0.955022 + 0.296536i \(0.0958315\pi\)
\(164\) 27450.7 0.0796975
\(165\) −183085. + 25113.0i −0.523531 + 0.0718105i
\(166\) −74179.1 −0.208935
\(167\) −35117.3 + 108080.i −0.0974384 + 0.299885i −0.987881 0.155210i \(-0.950395\pi\)
0.890443 + 0.455095i \(0.150395\pi\)
\(168\) 206646. 63289.4i 0.564877 0.173005i
\(169\) −231567. 168243.i −0.623676 0.453127i
\(170\) 220738. 71722.0i 0.585806 0.190340i
\(171\) 383440. + 139133.i 1.00278 + 0.363865i
\(172\) 134662. 185347.i 0.347076 0.477710i
\(173\) 75832.0 55095.2i 0.192636 0.139958i −0.487287 0.873242i \(-0.662013\pi\)
0.679923 + 0.733284i \(0.262013\pi\)
\(174\) −270283. 203464.i −0.676777 0.509465i
\(175\) 560582.i 1.38371i
\(176\) 477779. + 77537.0i 1.16264 + 0.188681i
\(177\) −199674. 68643.1i −0.479057 0.164689i
\(178\) 559061. + 181650.i 1.32254 + 0.429720i
\(179\) 259452. + 357105.i 0.605236 + 0.833036i 0.996175 0.0873805i \(-0.0278496\pi\)
−0.390939 + 0.920417i \(0.627850\pi\)
\(180\) 169665. 48831.8i 0.390312 0.112337i
\(181\) 65843.8 + 202646.i 0.149389 + 0.459772i 0.997549 0.0699677i \(-0.0222896\pi\)
−0.848160 + 0.529740i \(0.822290\pi\)
\(182\) −168747. 519351.i −0.377623 1.16220i
\(183\) −239595. 341819.i −0.528872 0.754516i
\(184\) 114593. + 157724.i 0.249525 + 0.343442i
\(185\) 78892.3 + 25633.7i 0.169475 + 0.0550657i
\(186\) −71306.4 + 207421.i −0.151128 + 0.439612i
\(187\) −413715. 67140.3i −0.865162 0.140404i
\(188\) 12274.1i 0.0253276i
\(189\) −910290. + 245354.i −1.85364 + 0.499619i
\(190\) −301796. + 219267.i −0.606497 + 0.440646i
\(191\) 257091. 353855.i 0.509921 0.701846i −0.473985 0.880533i \(-0.657185\pi\)
0.983906 + 0.178687i \(0.0571849\pi\)
\(192\) −253351. 4297.36i −0.495985 0.00841296i
\(193\) −567030. + 184239.i −1.09575 + 0.356032i −0.800467 0.599377i \(-0.795415\pi\)
−0.295287 + 0.955409i \(0.595415\pi\)
\(194\) −172220. 125125.i −0.328534 0.238694i
\(195\) 39329.4 + 128414.i 0.0740680 + 0.241839i
\(196\) −343057. + 1.05582e6i −0.637862 + 1.96314i
\(197\) −431667. −0.792471 −0.396235 0.918149i \(-0.629684\pi\)
−0.396235 + 0.918149i \(0.629684\pi\)
\(198\) −719756. 142013.i −1.30474 0.257433i
\(199\) 290937. 0.520795 0.260398 0.965501i \(-0.416146\pi\)
0.260398 + 0.965501i \(0.416146\pi\)
\(200\) −38771.8 + 119327.i −0.0685396 + 0.210943i
\(201\) 172945. + 564682.i 0.301938 + 0.985857i
\(202\) −326197. 236996.i −0.562473 0.408661i
\(203\) −682843. + 221869.i −1.16300 + 0.377882i
\(204\) 400368. + 6791.08i 0.673571 + 0.0114252i
\(205\) −19379.1 + 26673.1i −0.0322069 + 0.0443291i
\(206\) 413962. 300761.i 0.679660 0.493802i
\(207\) −476264. 704592.i −0.772542 1.14291i
\(208\) 351767.i 0.563763i
\(209\) 665748. 102850.i 1.05425 0.162869i
\(210\) 280303. 815363.i 0.438610 1.27586i
\(211\) 487660. + 158450.i 0.754068 + 0.245012i 0.660731 0.750623i \(-0.270246\pi\)
0.0933375 + 0.995635i \(0.470246\pi\)
\(212\) 99529.2 + 136990.i 0.152094 + 0.209339i
\(213\) 442241. + 630924.i 0.667898 + 0.952858i
\(214\) −265163. 816089.i −0.395803 1.21816i
\(215\) 85029.8 + 261695.i 0.125451 + 0.386099i
\(216\) −210737. 10731.9i −0.307331 0.0156510i
\(217\) 273610. + 376592.i 0.394442 + 0.542903i
\(218\) 1.20281e6 + 390817.i 1.71418 + 0.556970i
\(219\) 1.00492e6 + 345467.i 1.41586 + 0.486739i
\(220\) 206957. 205389.i 0.288286 0.286101i
\(221\) 304600.i 0.419516i
\(222\) 263098. + 198055.i 0.358290 + 0.269714i
\(223\) 620270. 450653.i 0.835255 0.606848i −0.0857864 0.996314i \(-0.527340\pi\)
0.921041 + 0.389466i \(0.127340\pi\)
\(224\) −1.06662e6 + 1.46807e6i −1.42033 + 1.95491i
\(225\) 186690. 514503.i 0.245846 0.677534i
\(226\) −1.05097e6 + 341481.i −1.36873 + 0.444728i
\(227\) −39496.5 28695.9i −0.0508738 0.0369620i 0.562058 0.827098i \(-0.310010\pi\)
−0.612932 + 0.790136i \(0.710010\pi\)
\(228\) −615371. + 188470.i −0.783971 + 0.240107i
\(229\) 394873. 1.21529e6i 0.497586 1.53141i −0.315300 0.948992i \(-0.602105\pi\)
0.812887 0.582422i \(-0.197895\pi\)
\(230\) 777770. 0.969464
\(231\) −1.12358e6 + 1.07786e6i −1.38539 + 1.32902i
\(232\) −160698. −0.196015
\(233\) 507064. 1.56058e6i 0.611889 1.88320i 0.172169 0.985067i \(-0.444923\pi\)
0.439721 0.898135i \(-0.355077\pi\)
\(234\) −18082.0 + 532858.i −0.0215877 + 0.636168i
\(235\) 11926.3 + 8664.99i 0.0140876 + 0.0102352i
\(236\) 316835. 102946.i 0.370300 0.120318i
\(237\) 8580.69 505873.i 0.00992319 0.585020i
\(238\) 1.14940e6 1.58202e6i 1.31532 1.81038i
\(239\) −55202.2 + 40106.8i −0.0625118 + 0.0454175i −0.618602 0.785704i \(-0.712301\pi\)
0.556091 + 0.831122i \(0.312301\pi\)
\(240\) 334031. 443729.i 0.374334 0.497267i
\(241\) 59138.9i 0.0655890i −0.999462 0.0327945i \(-0.989559\pi\)
0.999462 0.0327945i \(-0.0104407\pi\)
\(242\) −1.15510e6 + 365623.i −1.26789 + 0.401324i
\(243\) 917175. + 77965.7i 0.996406 + 0.0847009i
\(244\) 626380. + 203523.i 0.673540 + 0.218846i
\(245\) −783726. 1.07871e6i −0.834160 1.14812i
\(246\) −107179. + 75126.2i −0.112920 + 0.0791505i
\(247\) −151285. 465609.i −0.157781 0.485600i
\(248\) 32195.2 + 99086.6i 0.0332401 + 0.102302i
\(249\) 125866. 88224.9i 0.128650 0.0901763i
\(250\) 702415. + 966792.i 0.710794 + 0.978324i
\(251\) −1.68223e6 546589.i −1.68539 0.547616i −0.699445 0.714686i \(-0.746569\pi\)
−0.985945 + 0.167070i \(0.946569\pi\)
\(252\) 914644. 1.17307e6i 0.907300 1.16365i
\(253\) −1.24900e6 642395.i −1.22677 0.630958i
\(254\) 2.69437e6i 2.62043i
\(255\) −289242. + 384231.i −0.278555 + 0.370034i
\(256\) −1.09656e6 + 796700.i −1.04576 + 0.759792i
\(257\) −669665. + 921715.i −0.632448 + 0.870490i −0.998185 0.0602283i \(-0.980817\pi\)
0.365736 + 0.930718i \(0.380817\pi\)
\(258\) −18526.2 + 1.09221e6i −0.0173275 + 1.02154i
\(259\) 664690. 215971.i 0.615701 0.200053i
\(260\) −171431. 124552.i −0.157274 0.114266i
\(261\) 700603. + 23774.3i 0.636606 + 0.0216026i
\(262\) −261882. + 805991.i −0.235696 + 0.725399i
\(263\) 1.73696e6 1.54846 0.774229 0.632905i \(-0.218138\pi\)
0.774229 + 0.632905i \(0.218138\pi\)
\(264\) −313717. + 151726.i −0.277030 + 0.133983i
\(265\) −203373. −0.177901
\(266\) −971229. + 2.98914e6i −0.841623 + 2.59025i
\(267\) −1.16465e6 + 356698.i −0.999812 + 0.306212i
\(268\) −753844. 547699.i −0.641127 0.465806i
\(269\) −1.23432e6 + 401054.i −1.04003 + 0.337926i −0.778749 0.627336i \(-0.784145\pi\)
−0.261282 + 0.965262i \(0.584145\pi\)
\(270\) −528801. + 654992.i −0.441451 + 0.546798i
\(271\) 303168. 417275.i 0.250761 0.345143i −0.665017 0.746828i \(-0.731576\pi\)
0.915778 + 0.401686i \(0.131576\pi\)
\(272\) 1.01909e6 740413.i 0.835200 0.606809i
\(273\) 904017. + 680528.i 0.734125 + 0.552636i
\(274\) 1.39727e6i 1.12436i
\(275\) −138004. 893306.i −0.110043 0.712309i
\(276\) 1.26896e6 + 436237.i 1.00271 + 0.344707i
\(277\) 343343. + 111559.i 0.268862 + 0.0873584i 0.440345 0.897829i \(-0.354856\pi\)
−0.171484 + 0.985187i \(0.554856\pi\)
\(278\) 1.35517e6 + 1.86523e6i 1.05168 + 1.44751i
\(279\) −125704. 436757.i −0.0966805 0.335915i
\(280\) −126558. 389506.i −0.0964706 0.296906i
\(281\) −297917. 916895.i −0.225076 0.692714i −0.998284 0.0585607i \(-0.981349\pi\)
0.773208 0.634153i \(-0.218651\pi\)
\(282\) 33591.2 + 47922.9i 0.0251537 + 0.0358856i
\(283\) 833656. + 1.14743e6i 0.618758 + 0.851648i 0.997262 0.0739523i \(-0.0235613\pi\)
−0.378504 + 0.925600i \(0.623561\pi\)
\(284\) −1.15616e6 375660.i −0.850596 0.276375i
\(285\) 251297. 730990.i 0.183263 0.533089i
\(286\) 396758. + 786060.i 0.286821 + 0.568251i
\(287\) 277779.i 0.199065i
\(288\) 1.46785e6 992186.i 1.04280 0.704874i
\(289\) 266244. 193437.i 0.187515 0.136237i
\(290\) −376825. + 518655.i −0.263114 + 0.362146i
\(291\) 441039. + 7480.96i 0.305313 + 0.00517875i
\(292\) −1.59457e6 + 518107.i −1.09443 + 0.355600i
\(293\) 1.29101e6 + 937973.i 0.878537 + 0.638295i 0.932864 0.360229i \(-0.117301\pi\)
−0.0543268 + 0.998523i \(0.517301\pi\)
\(294\) −1.55010e6 5.06122e6i −1.04590 3.41497i
\(295\) −123643. + 380535.i −0.0827210 + 0.254589i
\(296\) 156426. 0.103772
\(297\) 1.39018e6 615076.i 0.914489 0.404611i
\(298\) −2.83857e6 −1.85165
\(299\) −315423. + 970772.i −0.204040 + 0.627971i
\(300\) 252890. + 825710.i 0.162229 + 0.529693i
\(301\) 1.87556e6 + 1.36267e6i 1.19320 + 0.866914i
\(302\) −417441. + 135635.i −0.263377 + 0.0855765i
\(303\) 835358. + 14169.4i 0.522716 + 0.00886638i
\(304\) −1.19003e6 + 1.63794e6i −0.738542 + 1.01652i
\(305\) −639957. + 464956.i −0.393914 + 0.286195i
\(306\) −1.58178e6 + 1.06920e6i −0.965702 + 0.652760i
\(307\) 712497.i 0.431456i −0.976453 0.215728i \(-0.930787\pi\)
0.976453 0.215728i \(-0.0692125\pi\)
\(308\) 393524. 2.42487e6i 0.236371 1.45651i
\(309\) −344695. + 1.00267e6i −0.205371 + 0.597396i
\(310\) 395300. + 128441.i 0.233627 + 0.0759099i
\(311\) 108117. + 148811.i 0.0633862 + 0.0872436i 0.839533 0.543308i \(-0.182829\pi\)
−0.776147 + 0.630552i \(0.782829\pi\)
\(312\) 145365. + 207385.i 0.0845419 + 0.120612i
\(313\) 16912.6 + 52051.7i 0.00975776 + 0.0300313i 0.955817 0.293963i \(-0.0949742\pi\)
−0.946059 + 0.323994i \(0.894974\pi\)
\(314\) −531941. 1.63715e6i −0.304467 0.937052i
\(315\) 494138. + 1.71688e6i 0.280590 + 0.974905i
\(316\) 469216. + 645821.i 0.264335 + 0.363827i
\(317\) −2.21878e6 720924.i −1.24012 0.402941i −0.385752 0.922602i \(-0.626058\pi\)
−0.854372 + 0.519662i \(0.826058\pi\)
\(318\) −763512. 262478.i −0.423397 0.145554i
\(319\) 1.03351e6 521658.i 0.568642 0.287018i
\(320\) 480171.i 0.262133i
\(321\) 1.42054e6 + 1.06936e6i 0.769469 + 0.579242i
\(322\) 5.30143e6 3.85172e6i 2.84940 2.07021i
\(323\) 1.03047e6 1.41831e6i 0.549575 0.756426i
\(324\) −1.23013e6 + 772045.i −0.651010 + 0.408583i
\(325\) −624757. + 202996.i −0.328097 + 0.106605i
\(326\) −54071.1 39284.9i −0.0281787 0.0204730i
\(327\) −2.50573e6 + 767429.i −1.29588 + 0.396889i
\(328\) −19212.2 + 59129.1i −0.00986035 + 0.0303470i
\(329\) 124203. 0.0632622
\(330\) −245945. + 1.36831e6i −0.124323 + 0.691673i
\(331\) −1.45774e6 −0.731326 −0.365663 0.930747i \(-0.619158\pi\)
−0.365663 + 0.930747i \(0.619158\pi\)
\(332\) −74942.2 + 230649.i −0.0373148 + 0.114843i
\(333\) −681978. 23142.2i −0.337023 0.0114365i
\(334\) 691651. + 502514.i 0.339251 + 0.246480i
\(335\) 1.06437e6 345834.i 0.518178 0.168366i
\(336\) 79361.6 4.67875e6i 0.0383497 2.26090i
\(337\) 429959. 591788.i 0.206230 0.283852i −0.693356 0.720596i \(-0.743868\pi\)
0.899586 + 0.436744i \(0.143868\pi\)
\(338\) −1.74207e6 + 1.26569e6i −0.829421 + 0.602609i
\(339\) 1.37713e6 1.82939e6i 0.650843 0.864583i
\(340\) 758810.i 0.355988i
\(341\) −528717. 532755.i −0.246228 0.248108i
\(342\) 1.88686e6 2.41999e6i 0.872318 1.11879i
\(343\) −6.70578e6 2.17884e6i −3.07761 0.999977i
\(344\) 304991. + 419784.i 0.138960 + 0.191262i
\(345\) −1.31971e6 + 925041.i −0.596940 + 0.418421i
\(346\) −217905. 670643.i −0.0978538 0.301163i
\(347\) 1.25858e6 + 3.87350e6i 0.561121 + 1.72695i 0.679205 + 0.733949i \(0.262325\pi\)
−0.118084 + 0.993004i \(0.537675\pi\)
\(348\) −905704. + 634846.i −0.400902 + 0.281009i
\(349\) 1.73071e6 + 2.38211e6i 0.760606 + 1.04688i 0.997163 + 0.0752663i \(0.0239807\pi\)
−0.236558 + 0.971617i \(0.576019\pi\)
\(350\) 4.01084e6 + 1.30320e6i 1.75011 + 0.568646i
\(351\) −603073. 925652.i −0.261278 0.401033i
\(352\) 1.33828e6 2.60200e6i 0.575692 1.11931i
\(353\) 1.84275e6i 0.787100i −0.919303 0.393550i \(-0.871247\pi\)
0.919303 0.393550i \(-0.128753\pi\)
\(354\) −955314. + 1.26905e6i −0.405171 + 0.538231i
\(355\) 1.18122e6 858209.i 0.497463 0.361428i
\(356\) 1.12963e6 1.55480e6i 0.472400 0.650202i
\(357\) −68720.3 + 4.05140e6i −0.0285374 + 1.68242i
\(358\) 3.15817e6 1.02615e6i 1.30235 0.423159i
\(359\) 9102.30 + 6613.21i 0.00372748 + 0.00270817i 0.589647 0.807661i \(-0.299267\pi\)
−0.585920 + 0.810369i \(0.699267\pi\)
\(360\) −13561.3 + 399636.i −0.00551498 + 0.162521i
\(361\) −105571. + 324914.i −0.0426360 + 0.131220i
\(362\) 1.60296e6 0.642912
\(363\) 1.52511e6 1.99420e6i 0.607482 0.794333i
\(364\) −1.78532e6 −0.706258
\(365\) 622272. 1.91516e6i 0.244483 0.752441i
\(366\) −3.00264e6 + 919616.i −1.17166 + 0.358843i
\(367\) −2.11014e6 1.53310e6i −0.817797 0.594164i 0.0982839 0.995158i \(-0.468665\pi\)
−0.916081 + 0.400994i \(0.868665\pi\)
\(368\) 4.01461e6 1.30442e6i 1.54534 0.502111i
\(369\) 92508.4 254946.i 0.0353684 0.0974726i
\(370\) 366807. 504867.i 0.139294 0.191722i
\(371\) −1.38623e6 + 1.00716e6i −0.522878 + 0.379893i
\(372\) 572903. + 431271.i 0.214646 + 0.161582i
\(373\) 255824.i 0.0952072i 0.998866 + 0.0476036i \(0.0151584\pi\)
−0.998866 + 0.0476036i \(0.984842\pi\)
\(374\) −1.44215e6 + 2.80396e6i −0.533129 + 1.03656i
\(375\) −2.34170e6 805022.i −0.859911 0.295617i
\(376\) 26438.4 + 8590.35i 0.00964418 + 0.00313358i
\(377\) −494537. 680672.i −0.179203 0.246652i
\(378\) −360721. + 7.08331e6i −0.129850 + 2.54980i
\(379\) 628821. + 1.93531e6i 0.224869 + 0.692075i 0.998305 + 0.0582008i \(0.0185364\pi\)
−0.773436 + 0.633874i \(0.781464\pi\)
\(380\) 376878. + 1.15991e6i 0.133888 + 0.412065i
\(381\) 3.20454e6 + 4.57176e6i 1.13098 + 1.61351i
\(382\) −1.93409e6 2.66205e6i −0.678138 0.933377i
\(383\) −133866. 43495.8i −0.0466310 0.0151513i 0.285609 0.958346i \(-0.407804\pi\)
−0.332240 + 0.943195i \(0.607804\pi\)
\(384\) 562680. 1.63676e6i 0.194730 0.566444i
\(385\) 2.07837e6 + 2.09424e6i 0.714612 + 0.720070i
\(386\) 4.48529e6i 1.53222i
\(387\) −1.26758e6 1.87528e6i −0.430228 0.636485i
\(388\) −563051. + 409080.i −0.189875 + 0.137952i
\(389\) 2.10025e6 2.89075e6i 0.703717 0.968583i −0.296193 0.955128i \(-0.595717\pi\)
0.999909 0.0134550i \(-0.00428299\pi\)
\(390\) 1.01021e6 + 17135.3i 0.336317 + 0.00570465i
\(391\) −3.47630e6 + 1.12952e6i −1.14994 + 0.373639i
\(392\) −2.03415e6 1.47790e6i −0.668602 0.485768i
\(393\) −514246. 1.67906e6i −0.167954 0.548385i
\(394\) −1.00351e6 + 3.08849e6i −0.325673 + 1.00232i
\(395\) −958773. −0.309188
\(396\) −1.16873e6 + 2.09450e6i −0.374520 + 0.671184i
\(397\) −2.15522e6 −0.686303 −0.343151 0.939280i \(-0.611494\pi\)
−0.343151 + 0.939280i \(0.611494\pi\)
\(398\) 676351. 2.08160e6i 0.214025 0.658702i
\(399\) −1.90716e6 6.22706e6i −0.599728 1.95817i
\(400\) 2.19780e6 + 1.59679e6i 0.686812 + 0.498998i
\(401\) −559707. + 181860.i −0.173820 + 0.0564775i −0.394634 0.918838i \(-0.629129\pi\)
0.220814 + 0.975316i \(0.429129\pi\)
\(402\) 4.44223e6 + 75349.7i 1.37100 + 0.0232550i
\(403\) −320626. + 441303.i −0.0983413 + 0.135355i
\(404\) −1.06646e6 + 774826.i −0.325079 + 0.236184i
\(405\) 118248. 1.74031e6i 0.0358224 0.527217i
\(406\) 5.40138e6i 1.62626i
\(407\) −1.00604e6 + 507791.i −0.301043 + 0.151949i
\(408\) −294837. + 857641.i −0.0876862 + 0.255068i
\(409\) 3.77576e6 + 1.22682e6i 1.11608 + 0.362637i 0.808271 0.588810i \(-0.200403\pi\)
0.307811 + 0.951447i \(0.400403\pi\)
\(410\) 145789. + 200661.i 0.0428317 + 0.0589527i
\(411\) −1.66184e6 2.37087e6i −0.485272 0.692314i
\(412\) −516949. 1.59101e6i −0.150039 0.461773i
\(413\) 1.04173e6 + 3.20612e6i 0.300525 + 0.924920i
\(414\) −6.14839e6 + 1.76958e6i −1.76303 + 0.507423i
\(415\) −171208. 235648.i −0.0487982 0.0671650i
\(416\) −2.02238e6 657110.i −0.572966 0.186168i
\(417\) −4.51785e6 1.55313e6i −1.27231 0.437389i
\(418\) 811818. 5.00239e6i 0.227257 1.40035i
\(419\) 227859.i 0.0634061i 0.999497 + 0.0317030i \(0.0100931\pi\)
−0.999497 + 0.0317030i \(0.989907\pi\)
\(420\) −2.25206e6 1.69531e6i −0.622955 0.468949i
\(421\) −1.02470e6 + 744485.i −0.281767 + 0.204715i −0.719688 0.694298i \(-0.755715\pi\)
0.437921 + 0.899013i \(0.355715\pi\)
\(422\) 2.26736e6 3.12075e6i 0.619781 0.853056i
\(423\) −113994. 41363.3i −0.0309764 0.0112399i
\(424\) −364736. + 118510.i −0.0985291 + 0.0320140i
\(425\) −1.90310e6 1.38269e6i −0.511082 0.371323i
\(426\) 5.54222e6 1.69741e6i 1.47965 0.453173i
\(427\) −2.05949e6 + 6.33846e6i −0.546626 + 1.68234i
\(428\) −2.80539e6 −0.740260
\(429\) −1.60811e6 861892.i −0.421865 0.226105i
\(430\) 2.07004e6 0.539894
\(431\) −1.38229e6 + 4.25424e6i −0.358431 + 1.10314i 0.595563 + 0.803309i \(0.296929\pi\)
−0.953993 + 0.299828i \(0.903071\pi\)
\(432\) −1.63100e6 + 4.26774e6i −0.420478 + 1.10024i
\(433\) −3.67014e6 2.66651e6i −0.940726 0.683477i 0.00786936 0.999969i \(-0.497495\pi\)
−0.948595 + 0.316492i \(0.897495\pi\)
\(434\) 3.33051e6 1.08215e6i 0.848763 0.275780i
\(435\) 22529.5 1.32822e6i 0.00570858 0.336548i
\(436\) 2.43037e6 3.34512e6i 0.612289 0.842743i
\(437\) 4.75285e6 3.45315e6i 1.19056 0.864991i
\(438\) 4.80791e6 6.38685e6i 1.19749 1.59075i
\(439\) 1.58867e6i 0.393435i −0.980460 0.196718i \(-0.936972\pi\)
0.980460 0.196718i \(-0.0630282\pi\)
\(440\) 297563. + 589534.i 0.0732736 + 0.145170i
\(441\) 8.64975e6 + 6.74421e6i 2.11791 + 1.65133i
\(442\) 2.17935e6 + 708113.i 0.530604 + 0.172404i
\(443\) 3.13608e6 + 4.31645e6i 0.759239 + 1.04500i 0.997277 + 0.0737468i \(0.0234957\pi\)
−0.238038 + 0.971256i \(0.576504\pi\)
\(444\) 881627. 617970.i 0.212240 0.148768i
\(445\) 713279. + 2.19525e6i 0.170750 + 0.525513i
\(446\) −1.78236e6 5.48555e6i −0.424286 1.30582i
\(447\) 4.81644e6 3.37605e6i 1.14014 0.799171i
\(448\) 2.37793e6 + 3.27294e6i 0.559763 + 0.770447i
\(449\) 219229. + 71231.8i 0.0513194 + 0.0166747i 0.334564 0.942373i \(-0.391411\pi\)
−0.283245 + 0.959048i \(0.591411\pi\)
\(450\) −3.24715e6 2.53181e6i −0.755913 0.589385i
\(451\) −68383.9 442650.i −0.0158312 0.102475i
\(452\) 3.61282e6i 0.831765i
\(453\) 546992. 726627.i 0.125238 0.166367i
\(454\) −297132. + 215879.i −0.0676565 + 0.0491553i
\(455\) 1.26037e6 1.73475e6i 0.285410 0.392833i
\(456\) 24720.9 1.45742e6i 0.00556740 0.328226i
\(457\) 2.15572e6 700436.i 0.482839 0.156884i −0.0574758 0.998347i \(-0.518305\pi\)
0.540315 + 0.841463i \(0.318305\pi\)
\(458\) −7.77719e6 5.65046e6i −1.73244 1.25869i
\(459\) 1.41230e6 3.69549e6i 0.312893 0.818729i
\(460\) 785772. 2.41836e6i 0.173142 0.532876i
\(461\) 560243. 0.122779 0.0613895 0.998114i \(-0.480447\pi\)
0.0613895 + 0.998114i \(0.480447\pi\)
\(462\) 5.09983e6 + 1.05447e7i 1.11161 + 2.29841i
\(463\) 6.90691e6 1.49738 0.748689 0.662921i \(-0.230684\pi\)
0.748689 + 0.662921i \(0.230684\pi\)
\(464\) −1.07520e6 + 3.30912e6i −0.231843 + 0.713538i
\(465\) −823500. + 252213.i −0.176616 + 0.0540923i
\(466\) −9.98685e6 7.25587e6i −2.13041 1.54784i
\(467\) −7.36577e6 + 2.39328e6i −1.56288 + 0.507811i −0.957575 0.288183i \(-0.906949\pi\)
−0.605305 + 0.795993i \(0.706949\pi\)
\(468\) 1.63857e6 + 594564.i 0.345821 + 0.125483i
\(469\) 5.54227e6 7.62829e6i 1.16347 1.60138i
\(470\) 89721.7 65186.6i 0.0187350 0.0136117i
\(471\) 2.84973e6 + 2.14523e6i 0.591904 + 0.445575i
\(472\) 754515.i 0.155888i
\(473\) −3.32423e6 1.70974e6i −0.683185 0.351380i
\(474\) −3.59947e6 1.23741e6i −0.735855 0.252970i
\(475\) 3.59581e6 + 1.16835e6i 0.731244 + 0.237596i
\(476\) −3.75782e6 5.17220e6i −0.760184 1.04630i
\(477\) 1.60769e6 462714.i 0.323525 0.0931144i
\(478\) 158625. + 488198.i 0.0317543 + 0.0977296i
\(479\) 1.49769e6 + 4.60940e6i 0.298251 + 0.917922i 0.982110 + 0.188308i \(0.0603003\pi\)
−0.683859 + 0.729614i \(0.739700\pi\)
\(480\) −1.92711e6 2.74931e6i −0.381771 0.544654i
\(481\) 481390. + 662577.i 0.0948712 + 0.130579i
\(482\) −423127. 137482.i −0.0829569 0.0269543i
\(483\) −4.41437e6 + 1.28408e7i −0.860995 + 2.50452i
\(484\) −30135.8 + 3.96099e6i −0.00584748 + 0.768583i
\(485\) 835894.i 0.161360i
\(486\) 2.69001e6 6.38094e6i 0.516611 1.22545i
\(487\) −3.23417e6 + 2.34976e6i −0.617932 + 0.448954i −0.852199 0.523218i \(-0.824731\pi\)
0.234266 + 0.972172i \(0.424731\pi\)
\(488\) −876781. + 1.20679e6i −0.166664 + 0.229393i
\(489\) 138471. + 2348.76i 0.0261870 + 0.000444187i
\(490\) −9.53987e6 + 3.09969e6i −1.79495 + 0.583215i
\(491\) 1.33187e6 + 967657.i 0.249320 + 0.181141i 0.705425 0.708784i \(-0.250756\pi\)
−0.456105 + 0.889926i \(0.650756\pi\)
\(492\) 125312. + 409155.i 0.0233388 + 0.0762036i
\(493\) 931028. 2.86541e6i 0.172522 0.530969i
\(494\) −3.68303e6 −0.679028
\(495\) −1.21009e6 2.61425e6i −0.221975 0.479550i
\(496\) 2.25582e6 0.411719
\(497\) 3.80138e6 1.16994e7i 0.690319 2.12458i
\(498\) −338625. 1.10564e6i −0.0611851 0.199775i
\(499\) 3.41739e6 + 2.48288e6i 0.614388 + 0.446379i 0.850957 0.525236i \(-0.176023\pi\)
−0.236569 + 0.971615i \(0.576023\pi\)
\(500\) 3.71573e6 1.20731e6i 0.664690 0.215971i
\(501\) −1.77125e6 30044.1i −0.315272 0.00534768i
\(502\) −7.82146e6 + 1.07653e7i −1.38525 + 1.90663i
\(503\) −7.88037e6 + 5.72543e6i −1.38876 + 1.00899i −0.392759 + 0.919642i \(0.628479\pi\)
−0.996000 + 0.0893507i \(0.971521\pi\)
\(504\) 1.88667e6 + 2.79116e6i 0.330840 + 0.489450i
\(505\) 1.58324e6i 0.276260i
\(506\) −7.49979e6 + 7.44295e6i −1.30219 + 1.29232i
\(507\) 1.45058e6 4.21954e6i 0.250623 0.729030i
\(508\) −8.37772e6 2.72209e6i −1.44034 0.467996i
\(509\) 2.68976e6 + 3.70213e6i 0.460170 + 0.633370i 0.974544 0.224196i \(-0.0719756\pi\)
−0.514374 + 0.857566i \(0.671976\pi\)
\(510\) 2.07668e6 + 2.96270e6i 0.353545 + 0.504385i
\(511\) −5.24282e6 1.61357e7i −0.888204 2.73361i
\(512\) 2.05308e6 + 6.31874e6i 0.346124 + 1.06526i
\(513\) −323394. + 6.35034e6i −0.0542548 + 1.06538i
\(514\) 5.03788e6 + 6.93405e6i 0.841086 + 1.15766i
\(515\) 1.91088e6 + 620882.i 0.317479 + 0.103155i
\(516\) 3.37734e6 + 1.16105e6i 0.558406 + 0.191967i
\(517\) −197922. + 30576.5i −0.0325663 + 0.00503108i
\(518\) 5.25779e6i 0.860952i
\(519\) 1.16737e6 + 878773.i 0.190235 + 0.143205i
\(520\) 388268. 282093.i 0.0629684 0.0457492i
\(521\) 4.86220e6 6.69225e6i 0.784764 1.08013i −0.209977 0.977706i \(-0.567339\pi\)
0.994740 0.102428i \(-0.0326612\pi\)
\(522\) 1.79881e6 4.95739e6i 0.288941 0.796301i
\(523\) −799096. + 259642.i −0.127745 + 0.0415069i −0.372192 0.928156i \(-0.621394\pi\)
0.244447 + 0.969663i \(0.421394\pi\)
\(524\) 2.24153e6 + 1.62857e6i 0.356628 + 0.259106i
\(525\) −8.35551e6 + 2.55904e6i −1.32305 + 0.405209i
\(526\) 4.03796e6 1.24276e7i 0.636352 1.95849i
\(527\) −1.95335e6 −0.306375
\(528\) 1.02535e6 + 7.47528e6i 0.160062 + 1.16692i
\(529\) −5.81243e6 −0.903064
\(530\) −472788. + 1.45509e6i −0.0731100 + 0.225009i
\(531\) 111626. 3.28950e6i 0.0171802 0.506284i
\(532\) 8.31304e6 + 6.03978e6i 1.27345 + 0.925213i
\(533\) −309579. + 100588.i −0.0472013 + 0.0153366i
\(534\) −155408. + 9.16207e6i −0.0235842 + 1.39040i
\(535\) 1.98050e6 2.72592e6i 0.299150 0.411745i
\(536\) 1.70735e6 1.24046e6i 0.256691 0.186497i
\(537\) −4.13829e6 + 5.49733e6i −0.619277 + 0.822652i
\(538\) 9.76362e6i 1.45430i
\(539\) 1.78800e7 + 2.90168e6i 2.65092 + 0.430207i
\(540\) 1.50236e6 + 2.30596e6i 0.221712 + 0.340304i
\(541\) 9.00529e6 + 2.92600e6i 1.32283 + 0.429814i 0.883467 0.468494i \(-0.155203\pi\)
0.439366 + 0.898308i \(0.355203\pi\)
\(542\) −2.28073e6 3.13915e6i −0.333484 0.459002i
\(543\) −2.71988e6 + 1.90648e6i −0.395868 + 0.277481i
\(544\) −2.35309e6 7.24206e6i −0.340911 1.04922i
\(545\) 1.53461e6 + 4.72304e6i 0.221313 + 0.681130i
\(546\) 6.97063e6 4.88601e6i 1.00067 0.701411i
\(547\) 849175. + 1.16879e6i 0.121347 + 0.167020i 0.865369 0.501136i \(-0.167084\pi\)
−0.744022 + 0.668155i \(0.767084\pi\)
\(548\) 4.34460e6 + 1.41165e6i 0.618014 + 0.200805i
\(549\) 4.00109e6 5.13158e6i 0.566562 0.726641i
\(550\) −6.71224e6 1.08930e6i −0.946151 0.153547i
\(551\) 4.84245e6i 0.679495i
\(552\) −1.82777e6 + 2.42803e6i −0.255314 + 0.339161i
\(553\) −6.53518e6 + 4.74809e6i −0.908751 + 0.660246i
\(554\) 1.59636e6 2.19720e6i 0.220982 0.304155i
\(555\) −21930.5 + 1.29291e6i −0.00302216 + 0.178171i
\(556\) 7.16877e6 2.32927e6i 0.983462 0.319546i
\(557\) −2.33074e6 1.69338e6i −0.318315 0.231269i 0.417141 0.908842i \(-0.363032\pi\)
−0.735456 + 0.677573i \(0.763032\pi\)
\(558\) −3.41713e6 115957.i −0.464597 0.0157656i
\(559\) −839501. + 2.58372e6i −0.113630 + 0.349716i
\(560\) −8.86756e6 −1.19491
\(561\) −887867. 6.47295e6i −0.119108 0.868350i
\(562\) −7.25277e6 −0.968641
\(563\) 3.43454e6 1.05704e7i 0.456664 1.40547i −0.412506 0.910955i \(-0.635346\pi\)
0.869170 0.494513i \(-0.164654\pi\)
\(564\) 182946. 56030.7i 0.0242172 0.00741700i
\(565\) −3.51047e6 2.55051e6i −0.462641 0.336129i
\(566\) 1.01476e7 3.29717e6i 1.33145 0.432613i
\(567\) −7.81247e6 1.24479e7i −1.02054 1.62607i
\(568\) 1.61835e6 2.22747e6i 0.210475 0.289694i
\(569\) −7.64869e6 + 5.55710e6i −0.990390 + 0.719561i −0.960007 0.279978i \(-0.909673\pi\)
−0.0303837 + 0.999538i \(0.509673\pi\)
\(570\) −4.64588e6 3.49733e6i −0.598937 0.450869i
\(571\) 947570.i 0.121624i −0.998149 0.0608122i \(-0.980631\pi\)
0.998149 0.0608122i \(-0.0193691\pi\)
\(572\) 2.84497e6 439512.i 0.363570 0.0561670i
\(573\) 6.44784e6 + 2.21662e6i 0.820404 + 0.282036i
\(574\) 1.98745e6 + 645762.i 0.251777 + 0.0818075i
\(575\) −4.63346e6 6.37740e6i −0.584434 0.804404i
\(576\) −1.09249e6 3.79582e6i −0.137202 0.476705i
\(577\) 3.53666e6 + 1.08847e7i 0.442236 + 1.36106i 0.885487 + 0.464664i \(0.153825\pi\)
−0.443251 + 0.896397i \(0.646175\pi\)
\(578\) −765059. 2.35461e6i −0.0952522 0.293156i
\(579\) −5.33458e6 7.61058e6i −0.661308 0.943455i
\(580\) 1.23198e6 + 1.69567e6i 0.152066 + 0.209301i
\(581\) −2.33398e6 758355.i −0.286851 0.0932035i
\(582\) 1.07882e6 3.13815e6i 0.132021 0.384031i
\(583\) 1.96106e6 1.94620e6i 0.238957 0.237146i
\(584\) 3.79732e6i 0.460729i
\(585\) −1.73449e6 + 1.17241e6i −0.209547 + 0.141642i
\(586\) 9.71225e6 7.05636e6i 1.16836 0.848861i
\(587\) −3.43225e6 + 4.72408e6i −0.411134 + 0.565877i −0.963494 0.267728i \(-0.913727\pi\)
0.552361 + 0.833605i \(0.313727\pi\)
\(588\) −1.73031e7 293498.i −2.06387 0.0350076i
\(589\) 2.98587e6 970169.i 0.354636 0.115228i
\(590\) 2.43521e6 + 1.76928e6i 0.288009 + 0.209251i
\(591\) −1.97055e6 6.43403e6i −0.232070 0.757729i
\(592\) 1.04661e6 3.22115e6i 0.122739 0.377752i
\(593\) 3.96738e6 0.463305 0.231653 0.972799i \(-0.425587\pi\)
0.231653 + 0.972799i \(0.425587\pi\)
\(594\) −1.16895e6 1.13763e7i −0.135935 1.32292i
\(595\) 7.67854e6 0.889173
\(596\) −2.86777e6 + 8.82608e6i −0.330696 + 1.01778i
\(597\) 1.32812e6 + 4.33644e6i 0.152511 + 0.497964i
\(598\) 6.21240e6 + 4.51357e6i 0.710405 + 0.516140i
\(599\) −1.05395e7 + 3.42448e6i −1.20020 + 0.389967i −0.839833 0.542845i \(-0.817347\pi\)
−0.360363 + 0.932812i \(0.617347\pi\)
\(600\) −1.95558e6 33170.7i −0.221767 0.00376164i
\(601\) −7.04320e6 + 9.69414e6i −0.795397 + 1.09477i 0.198018 + 0.980198i \(0.436550\pi\)
−0.993415 + 0.114572i \(0.963450\pi\)
\(602\) 1.41098e7 1.02514e7i 1.58683 1.15290i
\(603\) −7.62714e6 + 5.15552e6i −0.854218 + 0.577403i
\(604\) 1.43500e6i 0.160052i
\(605\) −3.82751e6 2.82559e6i −0.425136 0.313848i
\(606\) 2.04336e6 5.94387e6i 0.226029 0.657488i
\(607\) −1.42470e6 462914.i −0.156947 0.0509951i 0.229490 0.973311i \(-0.426294\pi\)
−0.386437 + 0.922316i \(0.626294\pi\)
\(608\) 7.19382e6 + 9.90145e6i 0.789225 + 1.08627i
\(609\) −6.42413e6 9.16499e6i −0.701893 1.00136i
\(610\) 1.83893e6 + 5.65965e6i 0.200097 + 0.615836i
\(611\) 44976.1 + 138422.i 0.00487392 + 0.0150004i
\(612\) 1.72644e6 + 5.99851e6i 0.186326 + 0.647388i
\(613\) −6.48349e6 8.92376e6i −0.696880 0.959173i −0.999981 0.00621446i \(-0.998022\pi\)
0.303101 0.952959i \(-0.401978\pi\)
\(614\) −5.09776e6 1.65636e6i −0.545706 0.177311i
\(615\) −486029. 167085.i −0.0518173 0.0178136i
\(616\) 4.94777e6 + 2.54477e6i 0.525361 + 0.270207i
\(617\) 1.09868e7i 1.16187i 0.813949 + 0.580937i \(0.197314\pi\)
−0.813949 + 0.580937i \(0.802686\pi\)
\(618\) 6.37258e6 + 4.79716e6i 0.671188 + 0.505258i
\(619\) −84235.3 + 61200.5i −0.00883624 + 0.00641990i −0.592195 0.805795i \(-0.701738\pi\)
0.583358 + 0.812215i \(0.301738\pi\)
\(620\) 798733. 1.09936e6i 0.0834492 0.114858i
\(621\) 8.32786e6 1.03152e7i 0.866572 1.07337i
\(622\) 1.31605e6 427612.i 0.136395 0.0443174i
\(623\) 1.57333e7 + 1.14309e7i 1.62405 + 1.17994i
\(624\) 5.24311e6 1.60581e6i 0.539048 0.165094i
\(625\) 725020. 2.23138e6i 0.0742420 0.228493i
\(626\) 411736. 0.0419936
\(627\) 4.57210e6 + 9.45352e6i 0.464459 + 0.960339i
\(628\) −5.62787e6 −0.569436
\(629\) −906277. + 2.78923e6i −0.0913344 + 0.281098i
\(630\) 1.34326e7 + 455823.i 1.34837 + 0.0457556i
\(631\) 114219. + 82985.0i 0.0114200 + 0.00829710i 0.593481 0.804848i \(-0.297753\pi\)
−0.582061 + 0.813145i \(0.697753\pi\)
\(632\) −1.71950e6 + 558698.i −0.171241 + 0.0556397i
\(633\) −135560. + 7.99192e6i −0.0134469 + 0.792760i
\(634\) −1.03161e7 + 1.41989e7i −1.01928 + 1.40292i
\(635\) 8.55930e6 6.21870e6i 0.842372 0.612019i
\(636\) −1.58750e6 + 2.10885e6i −0.155622 + 0.206729i
\(637\) 1.31642e7i 1.28543i
\(638\) −1.32972e6 8.60728e6i −0.129332 0.837171i
\(639\) −7.38515e6 + 9.47179e6i −0.715496 + 0.917656i
\(640\) −3.11932e6 1.01353e6i −0.301030 0.0978106i
\(641\) −2.67957e6 3.68811e6i −0.257584 0.354535i 0.660565 0.750769i \(-0.270317\pi\)
−0.918149 + 0.396234i \(0.870317\pi\)
\(642\) 1.09534e7 7.67770e6i 1.04884 0.735180i
\(643\) 4.99235e6 + 1.53649e7i 0.476187 + 1.46555i 0.844350 + 0.535792i \(0.179987\pi\)
−0.368162 + 0.929761i \(0.620013\pi\)
\(644\) −6.62035e6 2.03753e7i −0.629023 1.93593i
\(645\) −3.51242e6 + 2.46201e6i −0.332436 + 0.233018i
\(646\) −7.75218e6 1.06700e7i −0.730874 1.00596i
\(647\) 4.35499e6 + 1.41502e6i 0.409003 + 0.132893i 0.506290 0.862363i \(-0.331016\pi\)
−0.0972869 + 0.995256i \(0.531016\pi\)
\(648\) −802049. 3.19004e6i −0.0750349 0.298441i
\(649\) −2.44932e6 4.85260e6i −0.228262 0.452233i
\(650\) 4.94191e6i 0.458788i
\(651\) −4.36411e6 + 5.79731e6i −0.403593 + 0.536135i
\(652\) −176778. + 128437.i −0.0162858 + 0.0118323i
\(653\) −2.96371e6 + 4.07919e6i −0.271990 + 0.374362i −0.923060 0.384656i \(-0.874320\pi\)
0.651070 + 0.759017i \(0.274320\pi\)
\(654\) −334358. + 1.97120e7i −0.0305680 + 1.80213i
\(655\) −3.16486e6 + 1.02832e6i −0.288238 + 0.0936542i
\(656\) 1.08905e6 + 791243.i 0.0988074 + 0.0717877i
\(657\) −561791. + 1.65554e7i −0.0507764 + 1.49633i
\(658\) 288740. 888649.i 0.0259981 0.0800140i
\(659\) 1.85411e7 1.66311 0.831556 0.555441i \(-0.187451\pi\)
0.831556 + 0.555441i \(0.187451\pi\)
\(660\) 4.00608e6 + 2.14712e6i 0.357981 + 0.191865i
\(661\) −1.39917e7 −1.24557 −0.622784 0.782394i \(-0.713999\pi\)
−0.622784 + 0.782394i \(0.713999\pi\)
\(662\) −3.38886e6 + 1.04298e7i −0.300545 + 0.924982i
\(663\) −4.54008e6 + 1.39049e6i −0.401125 + 0.122852i
\(664\) −444368. 322852.i −0.0391131 0.0284173i
\(665\) −1.17373e7 + 3.81370e6i −1.02924 + 0.334420i
\(666\) −1.75099e6 + 4.82561e6i −0.152967 + 0.421567i
\(667\) 5.93445e6 8.16807e6i 0.516495 0.710894i
\(668\) 2.26126e6 1.64290e6i 0.196069 0.142452i
\(669\) 9.54853e6 + 7.18796e6i 0.824843 + 0.620926i
\(670\) 8.41929e6i 0.724584i
\(671\) 1.72146e6 1.06076e7i 0.147601 0.909513i
\(672\) −2.67508e7 9.19630e6i −2.28514 0.785579i
\(673\) −4.92165e6 1.59914e6i −0.418864 0.136097i 0.0919994 0.995759i \(-0.470674\pi\)
−0.510863 + 0.859662i \(0.670674\pi\)
\(674\) −3.23458e6 4.45202e6i −0.274263 0.377491i
\(675\) 8.52093e6 + 433932.i 0.719826 + 0.0366575i
\(676\) 2.17548e6 + 6.69542e6i 0.183100 + 0.563523i
\(677\) −867074. 2.66858e6i −0.0727084 0.223773i 0.908098 0.418758i \(-0.137534\pi\)
−0.980806 + 0.194984i \(0.937534\pi\)
\(678\) −9.88743e6 1.41059e7i −0.826056 1.17849i
\(679\) −4.13956e6 5.69762e6i −0.344572 0.474263i
\(680\) 1.63448e6 + 531075.i 0.135553 + 0.0440437i
\(681\) 247414. 719694.i 0.0204435 0.0594676i
\(682\) −5.04087e6 + 2.54435e6i −0.414997 + 0.209467i
\(683\) 1.86464e7i 1.52948i −0.644341 0.764738i \(-0.722868\pi\)
0.644341 0.764738i \(-0.277132\pi\)
\(684\) −5.61830e6 8.31179e6i −0.459161 0.679289i
\(685\) −4.43877e6 + 3.22495e6i −0.361440 + 0.262602i
\(686\) −3.11783e7 + 4.29132e7i −2.52954 + 3.48162i
\(687\) 1.99166e7 + 337828.i 1.60999 + 0.0273089i
\(688\) 1.06849e7 3.47174e6i 0.860597 0.279625i
\(689\) −1.62443e6 1.18022e6i −0.130363 0.0947140i
\(690\) 3.55050e6 + 1.15927e7i 0.283901 + 0.926964i
\(691\) −6.84959e6 + 2.10809e7i −0.545719 + 1.67955i 0.173554 + 0.984824i \(0.444475\pi\)
−0.719273 + 0.694727i \(0.755525\pi\)
\(692\) −2.30541e6 −0.183013
\(693\) −2.11946e7 1.18266e7i −1.67646 0.935462i
\(694\) 3.06400e7 2.41485
\(695\) −2.79758e6 + 8.61006e6i −0.219695 + 0.676152i
\(696\) −733579. 2.39521e6i −0.0574016 0.187422i
\(697\) −943025. 685148.i −0.0735261 0.0534198i
\(698\) 2.10669e7 6.84506e6i 1.63668 0.531788i
\(699\) 2.55753e7 + 433812.i 1.97983 + 0.0335821i
\(700\) 8.10422e6 1.11545e7i 0.625124 0.860409i
\(701\) −2.11508e6 + 1.53670e6i −0.162567 + 0.118112i −0.666094 0.745867i \(-0.732035\pi\)
0.503528 + 0.863979i \(0.332035\pi\)
\(702\) −8.02483e6 + 2.16297e6i −0.614601 + 0.165656i
\(703\) 4.71372e6i 0.359729i
\(704\) −4.59504e6 4.63014e6i −0.349428 0.352097i
\(705\) −74708.9 + 217318.i −0.00566108 + 0.0164673i
\(706\) −1.31845e7 4.28390e6i −0.995523 0.323465i
\(707\) −7.84061e6 1.07917e7i −0.589931 0.811970i
\(708\) 2.98076e6 + 4.25251e6i 0.223483 + 0.318832i
\(709\) 793227. + 2.44130e6i 0.0592628 + 0.182392i 0.976305 0.216397i \(-0.0694305\pi\)
−0.917043 + 0.398789i \(0.869431\pi\)
\(710\) −3.39427e6 1.04465e7i −0.252698 0.777723i
\(711\) 7.57925e6 2.18140e6i 0.562279 0.161831i
\(712\) 2.55844e6 + 3.52139e6i 0.189136 + 0.260324i
\(713\) −6.22540e6 2.02276e6i −0.458610 0.149011i
\(714\) 2.88271e7 + 9.91008e6i 2.11619 + 0.727498i
\(715\) −1.58138e6 + 3.07465e6i −0.115683 + 0.224922i
\(716\) 1.08566e7i 0.791425i
\(717\) −849791. 639707.i −0.0617325 0.0464711i
\(718\) 68476.5 49751.1i 0.00495713 0.00360157i
\(719\) −9.17915e6 + 1.26340e7i −0.662187 + 0.911422i −0.999551 0.0299525i \(-0.990464\pi\)
0.337365 + 0.941374i \(0.390464\pi\)
\(720\) 8.13866e6 + 2.95315e6i 0.585088 + 0.212302i
\(721\) 1.60997e7 5.23110e6i 1.15340 0.374762i
\(722\) 2.07927e6 + 1.51068e6i 0.148446 + 0.107852i
\(723\) 881470. 269967.i 0.0627136 0.0192073i
\(724\) 1.61945e6 4.98416e6i 0.114821 0.353383i
\(725\) 6.49764e6 0.459103
\(726\) −1.07226e7 1.55478e7i −0.755023 1.09478i
\(727\) 2.20693e6 0.154865 0.0774325 0.996998i \(-0.475328\pi\)
0.0774325 + 0.996998i \(0.475328\pi\)
\(728\) 1.24951e6 3.84560e6i 0.0873799 0.268928i
\(729\) 3.02479e6 + 1.40265e7i 0.210803 + 0.977529i
\(730\) −1.22559e7 8.90445e6i −0.851215 0.618444i
\(731\) −9.25221e6 + 3.00623e6i −0.640401 + 0.208079i
\(732\) −174122. + 1.02653e7i −0.0120109 + 0.708100i
\(733\) 3.24242e6 4.46281e6i 0.222900 0.306795i −0.682891 0.730520i \(-0.739278\pi\)
0.905791 + 0.423725i \(0.139278\pi\)
\(734\) −1.58745e7 + 1.15335e7i −1.08758 + 0.790172i
\(735\) 1.25005e7 1.66058e7i 0.853512 1.13381i
\(736\) 2.55175e7i 1.73637i
\(737\) −6.95386e6 + 1.35203e7i −0.471582 + 0.916893i
\(738\) −1.60903e6 1.25456e6i −0.108748 0.0847911i
\(739\) −1.16818e7 3.79566e6i −0.786864 0.255668i −0.112096 0.993697i \(-0.535756\pi\)
−0.674768 + 0.738030i \(0.735756\pi\)
\(740\) −1.19922e6 1.65059e6i −0.0805047 0.110805i
\(741\) 6.24932e6 4.38041e6i 0.418107 0.293069i
\(742\) 3.98337e6 + 1.22595e7i 0.265608 + 0.817457i
\(743\) −3.35863e6 1.03368e7i −0.223198 0.686932i −0.998470 0.0553044i \(-0.982387\pi\)
0.775272 0.631628i \(-0.217613\pi\)
\(744\) −1.32992e6 + 932199.i −0.0880834 + 0.0617414i
\(745\) −6.55152e6 9.01739e6i −0.432465 0.595237i
\(746\) 1.83037e6 + 594723.i 0.120418 + 0.0391262i
\(747\) 1.88957e6 + 1.47330e6i 0.123897 + 0.0966027i
\(748\) 7.26150e6 + 7.31696e6i 0.474540 + 0.478164i
\(749\) 2.83883e7i 1.84899i
\(750\) −1.12036e7 + 1.48829e7i −0.727284 + 0.966129i
\(751\) 1.88081e7 1.36649e7i 1.21687 0.884107i 0.221033 0.975266i \(-0.429057\pi\)
0.995836 + 0.0911588i \(0.0290571\pi\)
\(752\) 353789. 486948.i 0.0228139 0.0314006i
\(753\) 467627. 2.75689e7i 0.0300547 1.77187i
\(754\) −6.01973e6 + 1.95593e6i −0.385610 + 0.125292i
\(755\) −1.39435e6 1.01305e6i −0.0890233 0.0646792i
\(756\) 2.16600e7 + 8.27779e6i 1.37834 + 0.526757i
\(757\) −5.04735e6 + 1.55341e7i −0.320128 + 0.985252i 0.653464 + 0.756958i \(0.273315\pi\)
−0.973592 + 0.228295i \(0.926685\pi\)
\(758\) 1.53086e7 0.967748
\(759\) 3.87328e6 2.15490e7i 0.244048 1.35776i
\(760\) −2.76222e6 −0.173470
\(761\) 4.15211e6 1.27789e7i 0.259901 0.799893i −0.732924 0.680311i \(-0.761845\pi\)
0.992824 0.119582i \(-0.0381553\pi\)
\(762\) 4.01597e7 1.22997e7i 2.50555 0.767374i
\(763\) 3.38499e7 + 2.45934e7i 2.10497 + 1.52935i
\(764\) −1.02312e7 + 3.32432e6i −0.634153 + 0.206049i
\(765\) −7.04737e6 2.55717e6i −0.435385 0.157981i
\(766\) −622407. + 856670.i −0.0383268 + 0.0527523i
\(767\) −3.19592e6 + 2.32197e6i −0.196159 + 0.142518i
\(768\) −1.68806e7 1.27074e7i −1.03273 0.777419i
\(769\)