Properties

Label 33.6.f.a.2.4
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 2.4
Character \(\chi\) \(=\) 33.2
Dual form 33.6.f.a.17.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.32473 + 7.15479i) q^{2} +(-12.7649 - 8.94746i) q^{3} +(-19.8981 - 14.4568i) q^{4} +(-28.0945 + 9.12845i) q^{5} +(93.6922 - 70.5298i) q^{6} +(146.291 - 201.352i) q^{7} +(-45.0663 + 32.7426i) q^{8} +(82.8858 + 228.427i) q^{9} +O(q^{10})\) \(q+(-2.32473 + 7.15479i) q^{2} +(-12.7649 - 8.94746i) q^{3} +(-19.8981 - 14.4568i) q^{4} +(-28.0945 + 9.12845i) q^{5} +(93.6922 - 70.5298i) q^{6} +(146.291 - 201.352i) q^{7} +(-45.0663 + 32.7426i) q^{8} +(82.8858 + 228.427i) 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} +(440.300 + 134.851i) q^{15} +(-372.711 - 1147.09i) q^{16} +(-322.736 - 993.279i) q^{17} +(-1827.03 + 61.9986i) 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} +(868.230 - 14.7270i) q^{24} +(-1822.21 + 1323.91i) q^{25} +(-1289.66 + 1775.06i) q^{26} +(985.813 - 3657.47i) q^{27} +(-5821.82 + 1891.62i) q^{28} +(2333.85 + 1695.64i) q^{29} +(-1988.41 + 2836.76i) q^{30} +(-577.959 + 1778.78i) q^{31} +7291.07 q^{32} +(-5536.14 + 2913.17i) q^{33} +7856.97 q^{34} +(-2271.94 + 6992.30i) q^{35} +(1653.06 - 5743.52i) q^{36} +(2271.81 + 1650.56i) q^{37} +(12010.1 - 3902.32i) q^{38} +(-2734.30 - 3632.27i) q^{39} +(967.225 - 1331.27i) q^{40} +(902.939 - 656.024i) q^{41} +(-495.006 - 29183.0i) 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} +(-5505.90 + 17977.3i) q^{48} +(-13948.0 - 42927.7i) q^{49} +(-5236.16 - 16115.2i) q^{50} +(-4767.63 + 15566.8i) 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} +(443.783 + 26163.2i) q^{57} +(-17557.5 + 12756.3i) q^{58} +(7961.46 - 10958.0i) q^{59} +(-6811.61 - 9048.59i) q^{60} +(-25467.4 + 8274.86i) q^{61} +(-11383.2 - 8270.35i) q^{62} +(58119.8 + 16727.6i) q^{63} +(-5023.00 + 15459.2i) q^{64} -8615.48 q^{65} +(-7973.10 - 46382.2i) q^{66} +37885.3 q^{67} +(-7937.81 + 24430.1i) q^{68} +(-31314.6 + 44674.9i) q^{69} +(-44746.8 - 32510.4i) q^{70} +(-47007.4 + 15273.6i) q^{71} +(-11214.6 - 7580.46i) q^{72} +(40068.4 - 55149.4i) q^{73} +(-17090.8 + 12417.2i) q^{74} +(35105.9 - 595.471i) 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} +(-45308.9 + 37866.7i) q^{81} +(2594.62 + 7985.42i) q^{82} +(3047.01 + 9377.72i) q^{83} +(91240.2 + 27944.1i) 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} +(50763.6 - 18419.8i) q^{90} +(58724.8 - 42666.1i) q^{91} +(-50596.2 + 69639.8i) q^{92} +(23293.1 - 17534.6i) q^{93} +(3570.52 - 1160.13i) q^{94} +(40116.4 + 29146.3i) q^{95} +(-93069.8 - 65236.5i) q^{96} +(8744.18 - 26911.8i) q^{97} +339564. q^{98} +(96733.8 + 12348.0i) 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 \(0.331545\pi\)
−0.915816 + 0.401597i \(0.868455\pi\)
\(3\) −12.7649 8.94746i −0.818869 0.573980i
\(4\) −19.8981 14.4568i −0.621815 0.451775i
\(5\) −28.0945 + 9.12845i −0.502569 + 0.163295i −0.549320 0.835612i \(-0.685113\pi\)
0.0467509 + 0.998907i \(0.485113\pi\)
\(6\) 93.6922 70.5298i 1.06249 0.799824i
\(7\) 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
\(9\) 82.8858 + 228.427i 0.341094 + 0.940029i
\(10\) 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
\(15\) 440.300 + 134.851i 0.505267 + 0.154748i
\(16\) −372.711 1147.09i −0.363976 1.12020i
\(17\) −322.736 993.279i −0.270848 0.833583i −0.990288 0.139029i \(-0.955602\pi\)
0.719441 0.694554i \(-0.244398\pi\)
\(18\) −1827.03 + 61.9986i −1.32912 + 0.0451025i
\(19\) −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 \(-0.757717\pi\)
0.724040 0.689758i \(-0.242283\pi\)
\(24\) 868.230 14.7270i 0.307685 0.00521899i
\(25\) −1822.21 + 1323.91i −0.583106 + 0.423651i
\(26\) −1289.66 + 1775.06i −0.374146 + 0.514967i
\(27\) 985.813 3657.47i 0.260247 0.965542i
\(28\) −5821.82 + 1891.62i −1.40334 + 0.455974i
\(29\) 2333.85 + 1695.64i 0.515321 + 0.374403i 0.814838 0.579688i \(-0.196826\pi\)
−0.299517 + 0.954091i \(0.596826\pi\)
\(30\) −1988.41 + 2836.76i −0.403368 + 0.575466i
\(31\) −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
\(33\) −5536.14 + 2913.17i −0.884957 + 0.465673i
\(34\) 7856.97 1.16562
\(35\) −2271.94 + 6992.30i −0.313492 + 0.964828i
\(36\) 1653.06 5743.52i 0.212584 0.738622i
\(37\) 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
\(39\) −2734.30 3632.27i −0.287863 0.382399i
\(40\) 967.225 1331.27i 0.0955823 0.131558i
\(41\) 902.939 656.024i 0.0838878 0.0609481i −0.545051 0.838403i \(-0.683490\pi\)
0.628939 + 0.777455i \(0.283490\pi\)
\(42\) −495.006 29183.0i −0.0432999 2.55274i
\(43\) 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 0.799223 0.601035i \(-0.205245\pi\)
−0.818592 + 0.574376i \(0.805245\pi\)
\(48\) −5505.90 + 17977.3i −0.344925 + 1.12621i
\(49\) −13948.0 42927.7i −0.829895 2.55415i
\(50\) −5236.16 16115.2i −0.296202 0.911616i
\(51\) −4767.63 + 15566.8i −0.256671 + 0.838057i
\(52\) −4216.35 5803.31i −0.216236 0.297624i
\(53\) 6547.64 + 2127.46i 0.320181 + 0.104033i 0.464698 0.885469i \(-0.346163\pi\)
−0.144517 + 0.989502i \(0.546163\pi\)
\(54\) 23876.7 + 15555.9i 1.11427 + 0.725958i
\(55\) −1899.04 + 11701.8i −0.0846499 + 0.521609i
\(56\) 13864.1i 0.590776i
\(57\) 443.783 + 26163.2i 0.0180919 + 1.06660i
\(58\) −17557.5 + 12756.3i −0.685320 + 0.497914i
\(59\) 7961.46 10958.0i 0.297757 0.409828i −0.633757 0.773532i \(-0.718488\pi\)
0.931514 + 0.363704i \(0.118488\pi\)
\(60\) −6811.61 9048.59i −0.244271 0.324491i
\(61\) −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
\(63\) 58119.8 + 16727.6i 1.84490 + 0.530985i
\(64\) −5023.00 + 15459.2i −0.153290 + 0.471778i
\(65\) −8615.48 −0.252928
\(66\) −7973.10 46382.2i −0.225303 1.31067i
\(67\) 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
\(69\) −31314.6 + 44674.9i −0.791815 + 1.12964i
\(70\) −44746.8 32510.4i −1.09148 0.793008i
\(71\) −47007.4 + 15273.6i −1.10667 + 0.359580i −0.804668 0.593725i \(-0.797657\pi\)
−0.302007 + 0.953306i \(0.597657\pi\)
\(72\) −11214.6 7580.46i −0.254949 0.172331i
\(73\) 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
\(75\) 35105.9 595.471i 0.720655 0.0122238i
\(76\) 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
\(81\) −45308.9 + 37866.7i −0.767310 + 0.641276i
\(82\) 2594.62 + 7985.42i 0.0426127 + 0.131148i
\(83\) 3047.01 + 9377.72i 0.0485488 + 0.149418i 0.972392 0.233353i \(-0.0749698\pi\)
−0.923843 + 0.382771i \(0.874970\pi\)
\(84\) 91240.2 + 27944.1i 1.41087 + 0.432108i
\(85\) 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 \(-0.824878\pi\)
0.852439 0.522826i \(-0.175122\pi\)
\(90\) 50763.6 18419.8i 0.660612 0.239706i
\(91\) 58724.8 42666.1i 0.743392 0.540106i
\(92\) −50596.2 + 69639.8i −0.623231 + 0.857803i
\(93\) 23293.1 17534.6i 0.279268 0.210227i
\(94\) 3570.52 1160.13i 0.0416785 0.0135422i
\(95\) 40116.4 + 29146.3i 0.456051 + 0.331340i
\(96\) −93069.8 65236.5i −1.03070 0.722458i
\(97\) 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
\(99\) 96733.8 + 12348.0i 0.991951 + 0.126622i
\(100\) 55397.9 0.553979
\(101\) −16562.1 + 50972.8i −0.161551 + 0.497204i −0.998766 0.0496709i \(-0.984183\pi\)
0.837214 + 0.546875i \(0.184183\pi\)
\(102\) −100294. 70300.0i −0.954493 0.669044i
\(103\) 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
\(105\) 91564.4 68928.0i 0.810501 0.610130i
\(106\) −30443.0 + 41901.2i −0.263162 + 0.362211i
\(107\) −92278.0 + 67043.9i −0.779182 + 0.566109i −0.904733 0.425978i \(-0.859930\pi\)
0.125552 + 0.992087i \(0.459930\pi\)
\(108\) −72491.1 + 58524.9i −0.598033 + 0.482815i
\(109\) 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 0.998399 0.0565592i \(-0.0180130\pi\)
−0.362313 + 0.932056i \(0.618013\pi\)
\(114\) −188224. 57647.2i −1.35648 0.415448i
\(115\) 31948.0 + 98325.8i 0.225268 + 0.693302i
\(116\) −21925.6 67480.0i −0.151289 0.465618i
\(117\) 2403.57 + 70830.6i 0.0162327 + 0.478362i
\(118\) 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
\(123\) −17395.7 + 295.068i −0.103676 + 0.00175857i
\(124\) 37215.7 27038.8i 0.217356 0.157918i
\(125\) 93369.2 128512.i 0.534476 0.735643i
\(126\) −254795. + 376948.i −1.42977 + 2.11522i
\(127\) 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
\(129\) 83344.0 118903.i 0.440961 0.629097i
\(130\) 20028.7 61641.9i 0.103943 0.319903i
\(131\) 112651. 0.573528 0.286764 0.958001i \(-0.407420\pi\)
0.286764 + 0.958001i \(0.407420\pi\)
\(132\) 152274. + 22068.3i 0.760659 + 0.110239i
\(133\) −417781. −2.04795
\(134\) −88073.1 + 271061.i −0.423722 + 1.30408i
\(135\) 5691.10 + 111754.i 0.0268758 + 0.527749i
\(136\) 47067.0 + 34196.2i 0.218207 + 0.158537i
\(137\) 176643. 57394.8i 0.804072 0.261259i 0.121987 0.992532i \(-0.461073\pi\)
0.682085 + 0.731273i \(0.261073\pi\)
\(138\) −246842. 327906.i −1.10337 1.46572i
\(139\) −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
\(141\) 131.934 + 7778.13i 0.000558866 + 0.0329479i
\(142\) 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
\(147\) −206048. + 672768.i −0.786458 + 2.56786i
\(148\) −21342.7 65686.1i −0.0800931 0.246501i
\(149\) 116598. + 358852.i 0.430254 + 1.32419i 0.897872 + 0.440256i \(0.145112\pi\)
−0.467618 + 0.883931i \(0.654888\pi\)
\(150\) −77351.4 + 252560.i −0.280699 + 0.916508i
\(151\) −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
\(156\) 1896.44 + 111804.i 0.00623918 + 0.367830i
\(157\) 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
\(159\) −64544.7 85741.6i −0.202473 0.268967i
\(160\) −204839. + 66556.1i −0.632575 + 0.205536i
\(161\) −704698. 511993.i −2.14259 1.55668i
\(162\) −165597. 412205.i −0.495754 1.23403i
\(163\) 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
\(165\) 128942. 132380.i 0.368710 0.378542i
\(166\) −74179.1 −0.208935
\(167\) 35117.3 108080.i 0.0974384 0.299885i −0.890443 0.455095i \(-0.849605\pi\)
0.987881 + 0.155210i \(0.0496054\pi\)
\(168\) 124049. 176974.i 0.339094 0.483768i
\(169\) −231567. 168243.i −0.623676 0.453127i
\(170\) −220738. + 71722.0i −0.585806 + 0.190340i
\(171\) 228429. 337941.i 0.597395 0.883794i
\(172\) 134662. 185347.i 0.347076 0.477710i
\(173\) −75832.0 + 55095.2i −0.192636 + 0.139958i −0.679923 0.733284i \(-0.737987\pi\)
0.487287 + 0.873242i \(0.337987\pi\)
\(174\) 338257. 5737.55i 0.846980 0.0143666i
\(175\) 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 0.390939 0.920417i \(-0.372150\pi\)
−0.996175 + 0.0873805i \(0.972150\pi\)
\(180\) 5987.69 + 176451.i 0.0137746 + 0.405923i
\(181\) 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
\(183\) 399128. + 122241.i 0.881018 + 0.269829i
\(184\) 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
\(189\) −592224. 733551.i −1.20596 1.49374i
\(190\) −301796. + 219267.i −0.606497 + 0.440646i
\(191\) −257091. + 353855.i −0.509921 + 0.701846i −0.983906 0.178687i \(-0.942815\pi\)
0.473985 + 0.880533i \(0.342815\pi\)
\(192\) 202439. 152392.i 0.396316 0.298339i
\(193\) −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
\(195\) 109976. + 77086.7i 0.207115 + 0.145175i
\(196\) −343057. + 1.05582e6i −0.637862 + 1.96314i
\(197\) 431667. 0.792471 0.396235 0.918149i \(-0.370316\pi\)
0.396235 + 0.918149i \(0.370316\pi\)
\(198\) −313227. + 663404.i −0.567802 + 1.20258i
\(199\) 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
\(201\) −483602. 338977.i −0.844302 0.591807i
\(202\) −326197. 236996.i −0.562473 0.408661i
\(203\) 682843. 221869.i 1.16300 0.377882i
\(204\) 319912. 240824.i 0.538215 0.405158i
\(205\) −19379.1 + 26673.1i −0.0322069 + 0.0443291i
\(206\) −413962. + 300761.i −0.679660 + 0.493802i
\(207\) 799455. 290086.i 1.29679 0.470544i
\(208\) 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
\(213\) 736705. + 225630.i 1.11261 + 0.340760i
\(214\) −265163. 816089.i −0.395803 1.21816i
\(215\) −85029.8 261695.i −0.125451 0.386099i
\(216\) 75328.0 + 197107.i 0.109856 + 0.287453i
\(217\) 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
\(222\) 329265. 5585.03i 0.448397 0.00760576i
\(223\) 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
\(225\) −453452. 306508.i −0.597139 0.403632i
\(226\) −1.05097e6 + 341481.i −1.36873 + 0.444728i
\(227\) 39496.5 + 28695.9i 0.0508738 + 0.0369620i 0.612932 0.790136i \(-0.289990\pi\)
−0.562058 + 0.827098i \(0.689990\pi\)
\(228\) 369405. 527013.i 0.470615 0.671404i
\(229\) 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
\(231\) −223313. + 1.54089e6i −0.275349 + 1.89994i
\(232\) −160698. −0.196015
\(233\) −507064. + 1.56058e6i −0.611889 + 1.88320i −0.172169 + 0.985067i \(0.555077\pi\)
−0.439721 + 0.898135i \(0.644923\pi\)
\(234\) −512366. 147465.i −0.611703 0.176056i
\(235\) 11926.3 + 8664.99i 0.0140876 + 0.0102352i
\(236\) −316835. + 102946.i −0.370300 + 0.120318i
\(237\) 304287. + 404217.i 0.351894 + 0.467459i
\(238\) 1.14940e6 1.58202e6i 1.31532 1.81038i
\(239\) 55202.2 40106.8i 0.0625118 0.0454175i −0.556091 0.831122i \(-0.687699\pi\)
0.618602 + 0.785704i \(0.287699\pi\)
\(240\) −9419.46 555323.i −0.0105560 0.622326i
\(241\) 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
\(246\) 38329.1 125148.i 0.0403823 0.131852i
\(247\) −151285. 465609.i −0.157781 0.485600i
\(248\) −32195.2 99086.6i −0.0332401 0.102302i
\(249\) 45012.1 146969.i 0.0460077 0.150220i
\(250\) 702415. + 966792.i 0.710794 + 0.978324i
\(251\) 1.68223e6 + 546589.i 1.68539 + 0.547616i 0.985945 0.167070i \(-0.0534306\pi\)
0.699445 + 0.714686i \(0.253431\pi\)
\(252\) −914644. 1.17307e6i −0.907300 1.16365i
\(253\) −1.24900e6 642395.i −1.22677 0.630958i
\(254\) 2.69437e6i 2.62043i
\(255\) −8156.44 480862.i −0.00785507 0.463095i
\(256\) −1.09656e6 + 796700.i −1.04576 + 0.759792i
\(257\) 669665. 921715.i 0.632448 0.870490i −0.365736 0.930718i \(-0.619183\pi\)
0.998185 + 0.0602283i \(0.0191829\pi\)
\(258\) 656972. + 872726.i 0.614465 + 0.816260i
\(259\) 664690. 215971.i 0.615701 0.200053i
\(260\) 171431. + 124552.i 0.157274 + 0.114266i
\(261\) −193887. + 673659.i −0.176177 + 0.612123i
\(262\) −261882. + 805991.i −0.235696 + 0.725399i
\(263\) −1.73696e6 −1.54846 −0.774229 0.632905i \(-0.781862\pi\)
−0.774229 + 0.632905i \(0.781862\pi\)
\(264\) 154108. 312553.i 0.136087 0.276003i
\(265\) −203373. −0.177901
\(266\) 971229. 2.98914e6i 0.841623 2.59025i
\(267\) −699137. + 997425.i −0.600184 + 0.856253i
\(268\) −753844. 547699.i −0.641127 0.465806i
\(269\) 1.23432e6 401054.i 1.04003 0.337926i 0.261282 0.965262i \(-0.415855\pi\)
0.778749 + 0.627336i \(0.215855\pi\)
\(270\) −812804. 219079.i −0.678541 0.182890i
\(271\) 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
\(273\) −1.13137e6 + 19190.4i −0.918751 + 0.0155840i
\(274\) 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
\(279\) −454225. + 15413.7i −0.349350 + 0.0118548i
\(280\) −126558. 389506.i −0.0964706 0.296906i
\(281\) 297917. + 916895.i 0.225076 + 0.692714i 0.998284 + 0.0585607i \(0.0186511\pi\)
−0.773208 + 0.634153i \(0.781349\pi\)
\(282\) −55957.6 17138.1i −0.0419022 0.0128334i
\(283\) 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
\(288\) 604326. + 1.66548e6i 0.429329 + 1.18320i
\(289\) 266244. 193437.i 0.187515 0.136237i
\(290\) 376825. 518655.i 0.263114 0.362146i
\(291\) −352411. + 265289.i −0.243959 + 0.183648i
\(292\) −1.59457e6 + 518107.i −1.09443 + 0.355600i
\(293\) −1.29101e6 937973.i −0.878537 0.638295i 0.0543268 0.998523i \(-0.482699\pi\)
−0.932864 + 0.360229i \(0.882699\pi\)
\(294\) −4.33450e6 3.03824e6i −2.92463 2.05000i
\(295\) −123643. + 380535.i −0.0827210 + 0.254589i
\(296\) −156426. −0.103772
\(297\) −1.12431e6 1.02314e6i −0.739600 0.673047i
\(298\) −2.83857e6 −1.85165
\(299\) 315423. 970772.i 0.204040 0.627971i
\(300\) −707149. 495671.i −0.453636 0.317973i
\(301\) 1.87556e6 + 1.36267e6i 1.19320 + 0.866914i
\(302\) 417441. 135635.i 0.263377 0.0855765i
\(303\) 667490. 502474.i 0.417675 0.314418i
\(304\) −1.19003e6 + 1.63794e6i −0.738542 + 1.01652i
\(305\) 639957. 464956.i 0.393914 0.286195i
\(306\) 651232. + 1.79475e6i 0.397587 + 1.09572i
\(307\) 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 0.776147 0.630552i \(-0.217171\pi\)
−0.839533 + 0.543308i \(0.817171\pi\)
\(312\) 242155. + 74164.6i 0.140834 + 0.0431330i
\(313\) 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
\(315\) −1.78554e6 + 60590.6i −1.01390 + 0.0344056i
\(316\) 469216. + 645821.i 0.264335 + 0.363827i
\(317\) 2.21878e6 + 720924.i 1.24012 + 0.402941i 0.854372 0.519662i \(-0.173942\pi\)
0.385752 + 0.922602i \(0.373942\pi\)
\(318\) 763512. 262478.i 0.423397 0.145554i
\(319\) 1.03351e6 521658.i 0.568642 0.287018i
\(320\) 480171.i 0.262133i
\(321\) 1.77779e6 30155.2i 0.962983 0.0163342i
\(322\) 5.30143e6 3.85172e6i 2.84940 2.07021i
\(323\) −1.03047e6 + 1.41831e6i −0.549575 + 0.756426i
\(324\) 1.44899e6 98453.5i 0.766837 0.0521037i
\(325\) −624757. + 202996.i −0.328097 + 0.106605i
\(326\) 54071.1 + 39284.9i 0.0281787 + 0.0204730i
\(327\) 1.50418e6 2.14594e6i 0.777913 1.10981i
\(328\) −19212.2 + 59129.1i −0.00986035 + 0.0303470i
\(329\) −124203. −0.0632622
\(330\) 647398. + 1.23030e6i 0.327255 + 0.621909i
\(331\) −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
\(333\) −188733. + 655751.i −0.0932690 + 0.324062i
\(334\) 691651. + 502514.i 0.339251 + 0.246480i
\(335\) −1.06437e6 + 345834.i −0.518178 + 0.168366i
\(336\) 2.81431e6 + 3.73854e6i 1.35995 + 1.80657i
\(337\) 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
\(339\) −38834.2 2.28946e6i −0.0183533 1.08202i
\(340\) 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
\(345\) 471953. 1.54097e6i 0.213477 0.697023i
\(346\) −217905. 670643.i −0.0978538 0.301163i
\(347\) −1.25858e6 3.87350e6i −0.561121 1.72695i −0.679205 0.733949i \(-0.737675\pi\)
0.118084 0.993004i \(-0.462325\pi\)
\(348\) −323897. + 1.05755e6i −0.143370 + 0.468117i
\(349\) 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 \(0.128753\pi\)
−0.919303 + 0.393550i \(0.871247\pi\)
\(354\) −26939.2 1.58820e6i −0.0114255 0.673592i
\(355\) 1.18122e6 858209.i 0.497463 0.361428i
\(356\) −1.12963e6 + 1.55480e6i −0.472400 + 0.650202i
\(357\) 2.43695e6 + 3.23725e6i 1.01199 + 1.34433i
\(358\) 3.15817e6 1.02615e6i 1.30235 0.423159i
\(359\) −9102.30 6613.21i −0.00372748 0.00270817i 0.585920 0.810369i \(-0.300733\pi\)
−0.589647 + 0.807661i \(0.700733\pi\)
\(360\) 384267. + 110597.i 0.156271 + 0.0449766i
\(361\) −105571. + 324914.i −0.0426360 + 0.131220i
\(362\) −1.60296e6 −0.642912
\(363\) 23479.5 + 2.51043e6i 0.00935238 + 0.999956i
\(364\) −1.78532e6 −0.706258
\(365\) −622272. + 1.91516e6i −0.244483 + 0.752441i
\(366\) −1.80247e6 + 2.57150e6i −0.703341 + 1.00342i
\(367\) −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
\(369\) 224694. + 151881.i 0.0859066 + 0.0580680i
\(370\) 366807. 504867.i 0.139294 0.191722i
\(371\) 1.38623e6 1.00716e6i 0.522878 0.379893i
\(372\) −716983. + 12161.6i −0.268628 + 0.00455650i
\(373\) 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
\(378\) 6.62516e6 2.53193e6i 2.38488 0.911428i
\(379\) 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
\(381\) −5.33826e6 1.63495e6i −1.88403 0.577021i
\(382\) −1.93409e6 2.66205e6i −0.678138 0.933377i
\(383\) 133866. + 43495.8i 0.0466310 + 0.0151513i 0.332240 0.943195i \(-0.392196\pi\)
−0.285609 + 0.958346i \(0.592196\pi\)
\(384\) −562680. 1.63676e6i −0.194730 0.566444i
\(385\) 2.07837e6 + 2.09424e6i 0.714612 + 0.720070i
\(386\) 4.48529e6i 1.53222i
\(387\) −2.12776e6 + 772066.i −0.722178 + 0.262046i
\(388\) −563051. + 409080.i −0.189875 + 0.137952i
\(389\) −2.10025e6 + 2.89075e6i −0.703717 + 0.968583i 0.296193 + 0.955128i \(0.404283\pi\)
−0.999909 + 0.0134550i \(0.995717\pi\)
\(390\) −807203. + 607648.i −0.268733 + 0.202297i
\(391\) −3.47630e6 + 1.12952e6i −1.14994 + 0.373639i
\(392\) 2.03415e6 + 1.47790e6i 0.668602 + 0.485768i
\(393\) −1.43797e6 1.00794e6i −0.469645 0.329194i
\(394\) −1.00351e6 + 3.08849e6i −0.325673 + 1.00232i
\(395\) 958773. 0.309188
\(396\) −1.74630e6 1.64416e6i −0.559605 0.526874i
\(397\) −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
\(399\) 5.33294e6 + 3.73808e6i 1.67701 + 1.17548i
\(400\) 2.19780e6 + 1.59679e6i 0.686812 + 0.498998i
\(401\) 559707. 181860.i 0.173820 0.0564775i −0.220814 0.975316i \(-0.570871\pi\)
0.394634 + 0.918838i \(0.370871\pi\)
\(402\) 3.54955e6 2.67204e6i 1.09549 0.824665i
\(403\) −320626. + 441303.i −0.0983413 + 0.135355i
\(404\) 1.06646e6 774826.i 0.325079 0.236184i
\(405\) 927265. 1.47745e6i 0.280909 0.447584i
\(406\) 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
\(411\) −2.76837e6 847868.i −0.808388 0.247585i
\(412\) −516949. 1.59101e6i −0.150039 0.461773i
\(413\) −1.04173e6 3.20612e6i −0.300525 0.924920i
\(414\) 216984. + 6.39430e6i 0.0622196 + 1.83355i
\(415\) −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 \(-0.989907\pi\)
0.999497 0.0317030i \(-0.0100931\pi\)
\(420\) −2.81843e6 + 47806.6i −0.779623 + 0.0132241i
\(421\) −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
\(423\) 67910.4 100468.i 0.0184538 0.0273008i
\(424\) −364736. + 118510.i −0.0985291 + 0.0320140i
\(425\) 1.90310e6 + 1.38269e6i 0.511082 + 0.371323i
\(426\) −3.32698e6 + 4.74644e6i −0.888231 + 1.26720i
\(427\) −2.05949e6 + 6.33846e6i −0.546626 + 1.68234i
\(428\) 2.80539e6 0.740260
\(429\) −1.79815e6 + 309102.i −0.471718 + 0.0810884i
\(430\) 2.07004e6 0.539894
\(431\) 1.38229e6 4.25424e6i 0.358431 1.10314i −0.595563 0.803309i \(-0.703071\pi\)
0.953993 0.299828i \(-0.0969292\pi\)
\(432\) −4.56286e6 + 232366.i −1.17633 + 0.0599050i
\(433\) −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
\(435\) 798936. + 1.06131e6i 0.202437 + 0.268918i
\(436\) 2.43037e6 3.34512e6i 0.612289 0.842743i
\(437\) −4.75285e6 + 3.45315e6i −1.19056 + 0.864991i
\(438\) −135580. 7.99309e6i −0.0337683 1.99081i
\(439\) 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 \(-0.976504\pi\)
0.238038 0.971256i \(-0.423496\pi\)
\(444\) −315286. + 1.02944e6i −0.0759010 + 0.247824i
\(445\) 713279. + 2.19525e6i 0.170750 + 0.525513i
\(446\) 1.78236e6 + 5.48555e6i 0.424286 + 1.30582i
\(447\) 1.72245e6 5.62396e6i 0.407735 1.33129i
\(448\) 2.37793e6 + 3.27294e6i 0.559763 + 0.770447i
\(449\) −219229. 71231.8i −0.0513194 0.0166747i 0.283245 0.959048i \(-0.408589\pi\)
−0.334564 + 0.942373i \(0.608589\pi\)
\(450\) 3.24715e6 2.53181e6i 0.755913 0.589385i
\(451\) −68383.9 442650.i −0.0158312 0.102475i
\(452\) 3.61282e6i 0.831765i
\(453\) 15424.8 + 909368.i 0.00353162 + 0.208206i
\(454\) −297132. + 215879.i −0.0676565 + 0.0491553i
\(455\) −1.26037e6 + 1.73475e6i −0.285410 + 0.392833i
\(456\) −876649. 1.16455e6i −0.197430 0.262268i
\(457\) 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
\(459\) −3.95104e6 + 201209.i −0.875347 + 0.0445774i
\(460\) 785772. 2.41836e6i 0.173142 0.532876i
\(461\) −560243. −0.122779 −0.0613895 0.998114i \(-0.519553\pi\)
−0.0613895 + 0.998114i \(0.519553\pi\)
\(462\) −1.05056e7 5.17990e6i −2.28989 1.12906i
\(463\) 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
\(465\) −494344. + 705257.i −0.106022 + 0.151257i
\(466\) −9.98685e6 7.25587e6i −2.13041 1.54784i
\(467\) 7.36577e6 2.39328e6i 1.56288 0.507811i 0.605305 0.795993i \(-0.293051\pi\)
0.957575 + 0.288183i \(0.0930511\pi\)
\(468\) 976158. 1.44414e6i 0.206018 0.304786i
\(469\) 5.54227e6 7.62829e6i 1.16347 1.60138i
\(470\) −89721.7 + 65186.6i −0.0187350 + 0.0136117i
\(471\) −3.56641e6 + 60493.9i −0.740763 + 0.0125649i
\(472\) 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
\(477\) 56737.5 + 1.67200e6i 0.0114176 + 0.336464i
\(478\) 158625. + 488198.i 0.0317543 + 0.0977296i
\(479\) −1.49769e6 4.60940e6i −0.298251 0.917922i −0.982110 0.188308i \(-0.939700\pi\)
0.683859 0.729614i \(-0.260300\pi\)
\(480\) 3.21026e6 + 983204.i 0.635970 + 0.194778i
\(481\) 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
\(486\) −1.57436e6 + 6.74344e6i −0.302352 + 1.29506i
\(487\) −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
\(489\) −110644. + 83291.2i −0.0209246 + 0.0157517i
\(490\) −9.53987e6 + 3.09969e6i −1.79495 + 0.583215i
\(491\) −1.33187e6 967657.i −0.249320 0.181141i 0.456105 0.889926i \(-0.349244\pi\)
−0.705425 + 0.708784i \(0.749244\pi\)
\(492\) 350406. + 245615.i 0.0652618 + 0.0457448i
\(493\) 931028. 2.86541e6i 0.172522 0.530969i
\(494\) 3.68303e6 0.679028
\(495\) −2.83040e6 + 536119.i −0.519201 + 0.0983441i
\(496\) 2.25582e6 0.411719
\(497\) −3.80138e6 + 1.16994e7i −0.690319 + 2.12458i
\(498\) 946889. + 663715.i 0.171090 + 0.119925i
\(499\) 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
\(501\) −1.41531e6 + 1.06542e6i −0.251917 + 0.189639i
\(502\) −7.82146e6 + 1.07653e7i −1.38525 + 1.90663i
\(503\) 7.88037e6 5.72543e6i 1.38876 1.00899i 0.392759 0.919642i \(-0.371521\pi\)
0.996000 0.0893507i \(-0.0284792\pi\)
\(504\) −3.16695e6 + 1.14914e6i −0.555347 + 0.201510i
\(505\) 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 0.514374 0.857566i \(-0.328024\pi\)
−0.974544 + 0.224196i \(0.928024\pi\)
\(510\) 3.45943e6 + 1.05952e6i 0.588950 + 0.180378i
\(511\) −5.24282e6 1.61357e7i −0.888204 2.73361i
\(512\) −2.05308e6 6.31874e6i −0.346124 1.06526i
\(513\) −5.93960e6 + 2.26993e6i −0.996469 + 0.380819i
\(514\) 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
\(519\) 1.46095e6 24780.8i 0.238077 0.00403829i
\(520\) 388268. 282093.i 0.0629684 0.0457492i
\(521\) −4.86220e6 + 6.69225e6i −0.784764 + 1.08013i 0.209977 + 0.977706i \(0.432661\pi\)
−0.994740 + 0.102428i \(0.967339\pi\)
\(522\) −4.36915e6 2.95330e6i −0.701812 0.474385i
\(523\) −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
\(525\) 5.01579e6 7.15578e6i 0.794220 1.13307i
\(526\) 4.03796e6 1.24276e7i 0.636352 1.95849i
\(527\) 1.95335e6 0.306375
\(528\) 5.40505e6 + 5.26466e6i 0.843752 + 0.821837i
\(529\) −5.81243e6 −0.903064
\(530\) 472788. 1.45509e6i 0.0731100 0.225009i
\(531\) 3.16300e6 + 910349.i 0.486813 + 0.140111i
\(532\) 8.31304e6 + 6.03978e6i 1.27345 + 0.925213i
\(533\) 309579. 100588.i 0.0472013 0.0153366i
\(534\) −5.51106e6 7.32093e6i −0.836338 1.11100i
\(535\) 1.98050e6 2.72592e6i 0.299150 0.411745i
\(536\) −1.70735e6 + 1.24046e6i −0.256691 + 0.186497i
\(537\) 116697. + 6.87986e6i 0.0174632 + 1.02954i
\(538\) 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
\(543\) 972681. 3.17590e6i 0.141570 0.462239i
\(544\) −2.35309e6 7.24206e6i −0.340911 1.04922i
\(545\) −1.53461e6 4.72304e6i −0.221313 0.681130i
\(546\) 2.49283e6 8.13932e6i 0.357858 1.16844i
\(547\) 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
\(552\) −51542.0 3.03865e6i −0.00719968 0.424457i
\(553\) −6.53518e6 + 4.74809e6i −0.908751 + 0.660246i
\(554\) −1.59636e6 + 2.19720e6i −0.220982 + 0.304155i
\(555\) 777697. + 1.03310e6i 0.107171 + 0.142367i
\(556\) 7.16877e6 2.32927e6i 0.983462 0.319546i
\(557\) 2.33074e6 + 1.69338e6i 0.318315 + 0.231269i 0.735456 0.677573i \(-0.236968\pi\)
−0.417141 + 0.908842i \(0.636968\pi\)
\(558\) 945670. 3.28572e6i 0.128574 0.446730i
\(559\) −839501. + 2.58372e6i −0.113630 + 0.349716i
\(560\) 8.86756e6 1.19491
\(561\) 4.68030e6 + 4.55874e6i 0.627866 + 0.611558i
\(562\) −7.25277e6 −0.968641
\(563\) −3.43454e6 + 1.05704e7i −0.456664 + 1.40547i 0.412506 + 0.910955i \(0.364654\pi\)
−0.869170 + 0.494513i \(0.835346\pi\)
\(564\) 109822. 156677.i 0.0145375 0.0207400i
\(565\) −3.51047e6 2.55051e6i −0.462641 0.336129i
\(566\) −1.01476e7 + 3.29717e6i −1.33145 + 0.432613i
\(567\) 996270. + 1.46626e7i 0.130143 + 1.91537i
\(568\) 1.61835e6 2.22747e6i 0.210475 0.289694i
\(569\) 7.64869e6 5.55710e6i 0.990390 0.719561i 0.0303837 0.999538i \(-0.490327\pi\)
0.960007 + 0.279978i \(0.0903271\pi\)
\(570\) 5.81428e6 98622.5i 0.749564 0.0127142i
\(571\) 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
\(576\) −3.94764e6 + 133959.i −0.495771 + 0.0168235i
\(577\) 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
\(579\) 8.88657e6 + 2.72169e6i 1.10163 + 0.337397i
\(580\) 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
\(585\) −714101. 1.96801e6i −0.0862720 0.237759i
\(586\) 9.71225e6 7.05636e6i 1.16836 0.848861i
\(587\) 3.43225e6 4.72408e6i 0.411134 0.565877i −0.552361 0.833605i \(-0.686273\pi\)
0.963494 + 0.267728i \(0.0862729\pi\)
\(588\) 1.38260e7 1.04080e7i 1.64913 1.24143i
\(589\) 2.98587e6 970169.i 0.354636 0.115228i
\(590\) −2.43521e6 1.76928e6i −0.288009 0.209251i
\(591\) −5.51019e6 3.86233e6i −0.648930 0.454863i
\(592\) 1.04661e6 3.22115e6i 0.122739 0.377752i
\(593\) −3.96738e6 −0.463305 −0.231653 0.972799i \(-0.574413\pi\)
−0.231653 + 0.972799i \(0.574413\pi\)
\(594\) 9.93410e6 5.66570e6i 1.15521 0.658852i
\(595\) 7.67854e6 0.889173
\(596\) 2.86777e6 8.82608e6i 0.330696 1.01778i
\(597\) −3.71379e6 2.60315e6i −0.426463 0.298926i
\(598\) 6.21240e6 + 4.51357e6i 0.710405 + 0.516140i
\(599\) 1.05395e7 3.42448e6i 1.20020 0.389967i 0.360363 0.932812i \(-0.382653\pi\)
0.839833 + 0.542845i \(0.182653\pi\)
\(600\) −1.56260e6 + 1.17629e6i −0.177202 + 0.133394i
\(601\) −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
\(603\) 3.14015e6 + 8.65402e6i 0.351688 + 0.969225i
\(604\) 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
\(609\) −1.07016e7 3.27757e6i −1.16924 0.358104i
\(610\) 1.83893e6 + 5.65965e6i 0.200097 + 0.615836i
\(611\) −44976.1 138422.i −0.00487392 0.0150004i
\(612\) −6.23842e6 + 211695.i −0.673280 + 0.0228471i
\(613\) −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 \(-0.802686\pi\)
0.813949 0.580937i \(-0.197314\pi\)
\(618\) 7.97523e6 135277.i 0.839986 0.0142479i
\(619\) −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
\(621\) −1.28005e7 3.45017e6i −1.33198 0.359015i
\(622\) 1.31605e6 427612.i 0.136395 0.0443174i
\(623\) −1.57333e7 1.14309e7i −1.62405 1.17994i
\(624\) −3.14742e6 + 4.49027e6i −0.323589 + 0.461649i
\(625\) 725020. 2.23138e6i 0.0742420 0.228493i
\(626\) −411736. −0.0419936
\(627\) 9.41846e6 + 4.64389e6i 0.956778 + 0.471751i
\(628\) −5.62787e6 −0.569436
\(629\) 906277. 2.78923e6i 0.0913344 0.281098i
\(630\) 3.71739e6 1.29160e7i 0.373153 1.29652i
\(631\) 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
\(633\) −4.80720e6 6.38592e6i −0.476852 0.633453i
\(634\) −1.03161e7 + 1.41989e7i −1.01928 + 1.40292i
\(635\) −8.55930e6 + 6.21870e6i −0.842372 + 0.612019i
\(636\) 44766.5 + 2.63920e6i 0.00438844 + 0.258720i
\(637\) 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 0.918149 0.396234i \(-0.129683\pi\)
−0.660565 + 0.750769i \(0.729683\pi\)
\(642\) −3.91714e6 + 1.27898e7i −0.375086 + 1.22469i
\(643\) 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
\(645\) −1.25611e6 + 4.10131e6i −0.118885 + 0.388172i
\(646\) −7.75218e6 1.06700e7i −0.730874 1.00596i
\(647\) −4.35499e6 1.41502e6i −0.409003 0.132893i 0.0972869 0.995256i \(-0.468984\pi\)
−0.506290 + 0.862363i \(0.668984\pi\)
\(648\) 802049. 3.19004e6i 0.0750349 0.298441i
\(649\) −2.44932e6 4.85260e6i −0.228262 0.452233i
\(650\) 4.94191e6i 0.458788i
\(651\) −123065. 7.25529e6i −0.0113811 0.670968i
\(652\) −176778. + 128437.i −0.0162858 + 0.0118323i
\(653\) 2.96371e6 4.07919e6i 0.271990 0.374362i −0.651070 0.759017i \(-0.725680\pi\)
0.923060 + 0.384656i \(0.125680\pi\)
\(654\) 1.18569e7 + 1.57508e7i 1.08400 + 1.43999i
\(655\) −3.16486e6 + 1.02832e6i −0.288238 + 0.0936542i
\(656\) −1.08905e6 791243.i −0.0988074 0.0717877i
\(657\) 1.59187e7 + 4.58161e6i 1.43878 + 0.414099i
\(658\) 288740. 888649.i 0.0259981 0.0800140i
\(659\) −1.85411e7 −1.66311 −0.831556 0.555441i \(-0.812549\pi\)
−0.831556 + 0.555441i \(0.812549\pi\)
\(660\) −4.47950e6 + 770025.i −0.400285 + 0.0688090i
\(661\) −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
\(663\) −2.72540e6 + 3.88819e6i −0.240794 + 0.343529i
\(664\) −444368. 322852.i −0.0391131 0.0284173i
\(665\) 1.17373e7 3.81370e6i 1.02924 0.334420i
\(666\) −4.25300e6 2.87479e6i −0.371544 0.251143i
\(667\) 5.93445e6 8.16807e6i 0.516495 0.710894i
\(668\) −2.26126e6 + 1.64290e6i −0.196069 + 0.142452i
\(669\) −1.19499e7 + 202696.i −1.03228 + 0.0175097i
\(670\) 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
\(675\) 3.04581e6 + 7.96979e6i 0.257302 + 0.673267i
\(676\) 2.17548e6 + 6.69542e6i 0.183100 + 0.563523i
\(677\) 867074. + 2.66858e6i 0.0727084 + 0.223773i 0.980806 0.194984i \(-0.0624656\pi\)
−0.908098 + 0.418758i \(0.862466\pi\)
\(678\) 1.64709e7 + 5.04454e6i 1.37608 + 0.421451i
\(679\) −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 \(0.277132\pi\)
−0.644341 + 0.764738i \(0.722868\pi\)
\(684\) −9.43085e6 + 3.42203e6i −0.770745 + 0.279668i
\(685\) −4.43877e6 + 3.22495e6i −0.361440 + 0.262602i
\(686\) 3.11783e7 4.29132e7i 2.52954 3.48162i
\(687\) −1.59143e7 + 1.19800e7i −1.28646 + 0.968423i
\(688\) 1.06849e7 3.47174e6i 0.860597 0.279625i
\(689\) 1.62443e6 + 1.18022e6i 0.130363 + 0.0947140i
\(690\) 9.92817e6 + 6.95907e6i 0.793865 + 0.556453i
\(691\) −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
\(693\) 1.66376e7 1.76712e7i 1.31600 1.39776i
\(694\) 3.06400e7 2.41485
\(695\) 2.79758e6 8.61006e6i 0.219695 0.676152i
\(696\) 2.05129e6 + 1.43784e6i 0.160511 + 0.112509i
\(697\) −943025. 685148.i −0.0735261 0.0534198i
\(698\) −2.10669e7 + 6.84506e6i −1.63668 + 0.531788i
\(699\) 2.04359e7 1.53838e7i 1.58198 1.19088i
\(700\) 8.10422e6 1.11545e7i 0.625124 0.860409i
\(701\) 2.11508e6 1.53670e6i 0.162567 0.118112i −0.503528 0.863979i \(-0.667965\pi\)
0.666094 + 0.745867i \(0.267965\pi\)
\(702\) 5.22086e6 + 6.46675e6i 0.399852 + 0.495272i
\(703\) 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
\(708\) 4.96548e6 + 1.52078e6i 0.372287 + 0.114020i
\(709\) 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
\(711\) −267481. 7.88238e6i −0.0198435 0.584768i
\(712\) 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
\(717\) −1.06351e6 + 18039.3i −0.0772577 + 0.00131045i
\(718\) 68476.5 49751.1i 0.00495713 0.00360157i
\(719\) 9.17915e6 1.26340e7i 0.662187 0.911422i −0.337365 0.941374i \(-0.609536\pi\)
0.999551 + 0.0299525i \(0.00953559\pi\)
\(720\) −4.84849e6 + 7.17293e6i −0.348559 + 0.515662i
\(721\) 1.60997e7 5.23110e6i 1.15340 0.374762i
\(722\) −2.07927e6 1.51068e6i −0.148446 0.107852i
\(723\) −529143. + 754903.i −0.0376468 + 0.0537088i
\(724\) 1.61945e6 4.98416e6i 0.114821 0.353383i
\(725\) −6.49764e6 −0.459103
\(726\) −1.80162e7 5.66808e6i −1.26859 0.399111i
\(727\) 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
\(729\) −1.24053e7 7.21116e6i −0.864543 0.502558i
\(730\) −1.22559e7 8.90445e6i −0.851215 0.618444i
\(731\) 9.25221e6 3.00623e6i 0.640401 0.208079i
\(732\) −6.17467e6 8.20247e6i −0.425928 0.565805i
\(733\) 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
\(735\) −352506. 2.07820e7i −0.0240685 1.41895i
\(736\) 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
\(741\) −2.23487e6 + 7.29707e6i −0.149523 + 0.488206i
\(742\) 3.98337e6 + 1.22595e7i 0.265608 + 0.817457i
\(743\) 3.35863e6 + 1.03368e7i 0.223198 + 0.686932i 0.998470 + 0.0553044i \(0.0176129\pi\)
−0.775272 + 0.631628i \(0.782387\pi\)
\(744\) −475605. + 1.55290e6i −0.0315003 + 0.102851i
\(745\) −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
\(750\) −315934. 1.86258e7i −0.0205089 1.20910i
\(751\) 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
\(753\) −1.65829e7 2.20288e7i −1.06579 1.41581i
\(754\) −6.01973e6 + 1.95593e6i −0.385610 + 0.125292i
\(755\) 1.39435e6 + 1.01305e6i 0.0890233 + 0.0646792i
\(756\) 1.17933e6 + 2.31579e7i 0.0750464 + 1.47365i
\(757\) −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
\(759\) 1.01956e7 + 1.93755e7i 0.642404 + 1.22081i
\(760\) −2.76222e6 −0.173470
\(761\) −4.15211e6 + 1.27789e7i −0.259901 + 0.799893i 0.732924 + 0.680311i \(0.238155\pi\)
−0.992824 + 0.119582i \(0.961845\pi\)
\(762\) 2.41077e7 3.43933e7i 1.50407 2.14579i
\(763\) 3.38499e7 + 2.45934e7i 2.10497 + 1.52935i
\(764\) 1.02312e7 3.32432e6i 0.634153 0.206049i
\(765\) −4.19838e6 + 6.21114e6i −0.259375 + 0.383723i
\(766\) −622407. + 856670.i −0.0383268 + 0.0527523i
\(767\) 3.19592e6 2.32197e6i 0.196159 0.142518i
\(768\) 2.11260e7 358342.i 1.29245 0.0219227i
\(769\) 1.8620