Properties

Label 43.8.g.a.9.13
Level 43
Weight 8
Character 43.9
Analytic conductor 13.433
Analytic rank 0
Dimension 300
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 8 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(13.4325560958\)
Analytic rank: \(0\)
Dimension: \(300\)
Relative dimension: \(25\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 9.13
Character \(\chi\) \(=\) 43.9
Dual form 43.8.g.a.24.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.913875 - 1.14596i) q^{2} +(31.0397 + 4.67849i) q^{3} +(28.0046 - 122.696i) q^{4} +(-325.645 - 222.021i) q^{5} +(-23.0051 - 39.8460i) q^{6} +(-420.198 + 727.804i) q^{7} +(-335.233 + 161.440i) q^{8} +(-1148.26 - 354.191i) q^{9} +O(q^{10})\) \(q+(-0.913875 - 1.14596i) q^{2} +(31.0397 + 4.67849i) q^{3} +(28.0046 - 122.696i) q^{4} +(-325.645 - 222.021i) q^{5} +(-23.0051 - 39.8460i) q^{6} +(-420.198 + 727.804i) q^{7} +(-335.233 + 161.440i) q^{8} +(-1148.26 - 354.191i) q^{9} +(43.1710 + 576.078i) q^{10} +(1281.40 + 5614.16i) q^{11} +(1443.29 - 3677.44i) q^{12} +(-549.896 + 7337.86i) q^{13} +(1218.04 - 183.591i) q^{14} +(-9069.23 - 8415.01i) q^{15} +(-14022.3 - 6752.81i) q^{16} +(23480.6 - 16008.8i) q^{17} +(643.476 + 1639.55i) q^{18} +(-23492.8 + 7246.57i) q^{19} +(-36360.8 + 33737.9i) q^{20} +(-16447.9 + 20625.0i) q^{21} +(5262.59 - 6599.08i) q^{22} +(-61721.3 + 57269.0i) q^{23} +(-11160.9 + 3442.67i) q^{24} +(28209.2 + 71875.9i) q^{25} +(8911.45 - 6075.73i) q^{26} +(-95836.8 - 46152.6i) q^{27} +(77531.3 + 71938.6i) q^{28} +(-177359. + 26732.6i) q^{29} +(-1355.15 + 18083.3i) q^{30} +(114426. - 291554. i) q^{31} +(15674.1 + 68672.6i) q^{32} +(13508.4 + 180257. i) q^{33} +(-39803.8 - 12277.9i) q^{34} +(298423. - 143713. i) q^{35} +(-75614.5 + 130968. i) q^{36} +(-110162. - 190806. i) q^{37} +(29773.8 + 20299.4i) q^{38} +(-51398.7 + 225193. i) q^{39} +(145010. + 21856.8i) q^{40} +(-497656. - 624041. i) q^{41} +38666.7 q^{42} +(247924. - 458642. i) q^{43} +724721. q^{44} +(295288. + 370279. i) q^{45} +(122034. + 18393.6i) q^{46} +(-60316.5 + 264264. i) q^{47} +(-403657. - 275209. i) q^{48} +(58639.2 + 101566. i) q^{49} +(56587.5 - 98012.4i) q^{50} +(803729. - 387055. i) q^{51} +(884928. + 272964. i) q^{52} +(69422.7 + 926381. i) q^{53} +(34693.7 + 152003. i) q^{54} +(829183. - 2.11272e6i) q^{55} +(23367.7 - 311821. i) q^{56} +(-763113. + 115021. i) q^{57} +(192719. + 178817. i) q^{58} +(-2.25610e6 - 1.08648e6i) q^{59} +(-1.28647e6 + 877101. i) q^{60} +(1.16406e6 + 2.96597e6i) q^{61} +(-438681. + 135315. i) q^{62} +(740278. - 686878. i) q^{63} +(-1.17771e6 + 1.47680e6i) q^{64} +(1.80823e6 - 2.26745e6i) q^{65} +(194223. - 180213. i) q^{66} +(874383. - 269712. i) q^{67} +(-1.30665e6 - 3.32930e6i) q^{68} +(-2.18375e6 + 1.48885e6i) q^{69} +(-437412. - 210646. i) q^{70} +(1.38968e6 + 1.28944e6i) q^{71} +(442116. - 66638.2i) q^{72} +(95720.4 - 1.27730e6i) q^{73} +(-117983. + 300615. i) q^{74} +(539337. + 2.36299e6i) q^{75} +(231220. + 3.08542e6i) q^{76} +(-4.62445e6 - 1.42645e6i) q^{77} +(305034. - 146897. i) q^{78} +(-65408.0 + 113290. i) q^{79} +(3.06705e6 + 5.31228e6i) q^{80} +(-587470. - 400530. i) q^{81} +(-260332. + 1.14059e6i) q^{82} +(-3.39479e6 - 511682. i) q^{83} +(2.06999e6 + 2.59568e6i) q^{84} -1.12006e7 q^{85} +(-752158. + 135030. i) q^{86} -5.63025e6 q^{87} +(-1.33592e6 - 1.67519e6i) q^{88} +(441062. + 66479.4i) q^{89} +(154470. - 676778. i) q^{90} +(-5.10946e6 - 3.48357e6i) q^{91} +(5.29821e6 + 9.17677e6i) q^{92} +(4.91580e6 - 8.51441e6i) q^{93} +(357959. - 172384. i) q^{94} +(9.25922e6 + 2.85609e6i) q^{95} +(165235. + 2.20491e6i) q^{96} +(514761. + 2.25532e6i) q^{97} +(62802.1 - 160017. i) q^{98} +(517112. - 6.90038e6i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 300q - 40q^{2} - 12q^{3} - 3028q^{4} + 235q^{5} + 1274q^{6} - 4122q^{7} + 762q^{8} + 8097q^{9} + O(q^{10}) \) \( 300q - 40q^{2} - 12q^{3} - 3028q^{4} + 235q^{5} + 1274q^{6} - 4122q^{7} + 762q^{8} + 8097q^{9} - 1681q^{10} + 4580q^{11} + 9330q^{12} - 20444q^{13} - 45798q^{14} + 50477q^{15} - 74504q^{16} - 25312q^{17} + 2046q^{18} + 4046q^{19} + 140781q^{20} + 100555q^{21} + 95810q^{22} + 1648q^{23} - 292592q^{24} + 419068q^{25} + 393435q^{26} + 274140q^{27} + 233644q^{28} + 605697q^{29} - 1216016q^{30} + 358580q^{31} - 19194q^{32} + 1280291q^{33} + 1137255q^{34} + 652739q^{35} - 8980975q^{36} - 2360047q^{37} - 308490q^{38} + 536339q^{39} + 3057993q^{40} - 1376320q^{41} + 8417790q^{42} + 7173000q^{43} - 3856780q^{44} + 2761486q^{45} - 7073993q^{46} + 1437090q^{47} - 9543469q^{48} - 16053170q^{49} - 3046893q^{50} + 2972901q^{51} + 17415142q^{52} + 3320604q^{53} + 6000486q^{54} + 13427750q^{55} - 5450793q^{56} + 3333100q^{57} - 7876190q^{58} - 7084765q^{59} + 7356443q^{60} + 3354606q^{61} - 719427q^{62} + 14716815q^{63} - 16086234q^{64} - 19914646q^{65} - 8293345q^{66} + 13025470q^{67} - 22191927q^{68} - 33964295q^{69} + 8094727q^{70} + 30843495q^{71} + 93841607q^{72} - 3067637q^{73} + 18179570q^{74} - 41508571q^{75} - 19751872q^{76} - 15169179q^{77} - 69509396q^{78} - 12090149q^{79} - 69662530q^{80} + 3387954q^{81} + 39226888q^{82} + 16408777q^{83} + 98603231q^{84} - 13423424q^{85} + 111906660q^{86} + 49022010q^{87} + 76213954q^{88} - 12540205q^{89} - 92608607q^{90} - 59091937q^{91} - 50489370q^{92} - 52218334q^{93} - 3441600q^{94} - 79947551q^{95} - 23449784q^{96} - 116467587q^{97} + 73909552q^{98} - 20061115q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{21}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.913875 1.14596i −0.0807759 0.101290i 0.739801 0.672825i \(-0.234919\pi\)
−0.820577 + 0.571535i \(0.806348\pi\)
\(3\) 31.0397 + 4.67849i 0.663734 + 0.100042i 0.472264 0.881457i \(-0.343437\pi\)
0.191469 + 0.981499i \(0.438675\pi\)
\(4\) 28.0046 122.696i 0.218786 0.958564i
\(5\) −325.645 222.021i −1.16506 0.794328i −0.183045 0.983105i \(-0.558595\pi\)
−0.982020 + 0.188777i \(0.939548\pi\)
\(6\) −23.0051 39.8460i −0.0434805 0.0753104i
\(7\) −420.198 + 727.804i −0.463032 + 0.801994i −0.999110 0.0421738i \(-0.986572\pi\)
0.536079 + 0.844168i \(0.319905\pi\)
\(8\) −335.233 + 161.440i −0.231490 + 0.111480i
\(9\) −1148.26 354.191i −0.525039 0.161953i
\(10\) 43.1710 + 576.078i 0.0136519 + 0.182172i
\(11\) 1281.40 + 5614.16i 0.290274 + 1.27178i 0.884144 + 0.467214i \(0.154742\pi\)
−0.593870 + 0.804561i \(0.702401\pi\)
\(12\) 1443.29 3677.44i 0.241112 0.614344i
\(13\) −549.896 + 7337.86i −0.0694191 + 0.926334i 0.848405 + 0.529347i \(0.177563\pi\)
−0.917824 + 0.396987i \(0.870056\pi\)
\(14\) 1218.04 183.591i 0.118636 0.0178814i
\(15\) −9069.23 8415.01i −0.693827 0.643777i
\(16\) −14022.3 6752.81i −0.855856 0.412159i
\(17\) 23480.6 16008.8i 1.15915 0.790292i 0.178089 0.984014i \(-0.443008\pi\)
0.981056 + 0.193722i \(0.0620561\pi\)
\(18\) 643.476 + 1639.55i 0.0260063 + 0.0662630i
\(19\) −23492.8 + 7246.57i −0.785773 + 0.242379i −0.661575 0.749879i \(-0.730112\pi\)
−0.124198 + 0.992258i \(0.539636\pi\)
\(20\) −36360.8 + 33737.9i −1.01631 + 0.943002i
\(21\) −16447.9 + 20625.0i −0.387562 + 0.485988i
\(22\) 5262.59 6599.08i 0.105371 0.132131i
\(23\) −61721.3 + 57269.0i −1.05776 + 0.981459i −0.999858 0.0168630i \(-0.994632\pi\)
−0.0579036 + 0.998322i \(0.518442\pi\)
\(24\) −11160.9 + 3442.67i −0.164800 + 0.0508342i
\(25\) 28209.2 + 71875.9i 0.361078 + 0.920012i
\(26\) 8911.45 6075.73i 0.0994356 0.0677940i
\(27\) −95836.8 46152.6i −0.937042 0.451256i
\(28\) 77531.3 + 71938.6i 0.667458 + 0.619311i
\(29\) −177359. + 26732.6i −1.35039 + 0.203539i −0.784085 0.620654i \(-0.786867\pi\)
−0.566309 + 0.824193i \(0.691629\pi\)
\(30\) −1355.15 + 18083.3i −0.00916356 + 0.122279i
\(31\) 114426. 291554.i 0.689859 1.75773i 0.0381382 0.999272i \(-0.487857\pi\)
0.651721 0.758459i \(-0.274047\pi\)
\(32\) 15674.1 + 68672.6i 0.0845584 + 0.370475i
\(33\) 13508.4 + 180257.i 0.0654343 + 0.873160i
\(34\) −39803.8 12277.9i −0.173680 0.0535731i
\(35\) 298423. 143713.i 1.17651 0.566576i
\(36\) −75614.5 + 130968.i −0.270114 + 0.467850i
\(37\) −110162. 190806.i −0.357541 0.619279i 0.630008 0.776588i \(-0.283051\pi\)
−0.987549 + 0.157309i \(0.949718\pi\)
\(38\) 29773.8 + 20299.4i 0.0880221 + 0.0600124i
\(39\) −51398.7 + 225193.i −0.138748 + 0.607894i
\(40\) 145010. + 21856.8i 0.358252 + 0.0539978i
\(41\) −497656. 624041.i −1.12768 1.41407i −0.897554 0.440904i \(-0.854658\pi\)
−0.230125 0.973161i \(-0.573913\pi\)
\(42\) 38666.7 0.0805314
\(43\) 247924. 458642.i 0.475530 0.879699i
\(44\) 724721. 1.28259
\(45\) 295288. + 370279.i 0.483060 + 0.605739i
\(46\) 122034. + 18393.6i 0.184853 + 0.0278622i
\(47\) −60316.5 + 264264.i −0.0847411 + 0.371275i −0.999462 0.0328124i \(-0.989554\pi\)
0.914720 + 0.404087i \(0.132411\pi\)
\(48\) −403657. 275209.i −0.526827 0.359185i
\(49\) 58639.2 + 101566.i 0.0712035 + 0.123328i
\(50\) 56587.5 98012.4i 0.0640214 0.110888i
\(51\) 803729. 387055.i 0.848426 0.408580i
\(52\) 884928. + 272964.i 0.872763 + 0.269212i
\(53\) 69422.7 + 926381.i 0.0640525 + 0.854721i 0.933014 + 0.359841i \(0.117169\pi\)
−0.868961 + 0.494880i \(0.835212\pi\)
\(54\) 34693.7 + 152003.i 0.0299828 + 0.131363i
\(55\) 829183. 2.11272e6i 0.672018 1.71227i
\(56\) 23367.7 311821.i 0.0177811 0.237272i
\(57\) −763113. + 115021.i −0.545792 + 0.0822649i
\(58\) 192719. + 178817.i 0.129696 + 0.120340i
\(59\) −2.25610e6 1.08648e6i −1.43014 0.688717i −0.451112 0.892467i \(-0.648973\pi\)
−0.979023 + 0.203750i \(0.934687\pi\)
\(60\) −1.28647e6 + 877101.i −0.768901 + 0.524228i
\(61\) 1.16406e6 + 2.96597e6i 0.656629 + 1.67306i 0.736653 + 0.676271i \(0.236405\pi\)
−0.0800242 + 0.996793i \(0.525500\pi\)
\(62\) −438681. + 135315.i −0.233764 + 0.0721067i
\(63\) 740278. 686878.i 0.372995 0.346089i
\(64\) −1.17771e6 + 1.47680e6i −0.561576 + 0.704194i
\(65\) 1.80823e6 2.26745e6i 0.816690 1.02410i
\(66\) 194223. 180213.i 0.0831567 0.0771581i
\(67\) 874383. 269712.i 0.355173 0.109556i −0.112034 0.993704i \(-0.535737\pi\)
0.467207 + 0.884148i \(0.345260\pi\)
\(68\) −1.30665e6 3.32930e6i −0.503941 1.28402i
\(69\) −2.18375e6 + 1.48885e6i −0.800259 + 0.545607i
\(70\) −437412. 210646.i −0.152422 0.0734025i
\(71\) 1.38968e6 + 1.28944e6i 0.460798 + 0.427558i 0.876103 0.482124i \(-0.160135\pi\)
−0.415305 + 0.909682i \(0.636325\pi\)
\(72\) 442116. 66638.2i 0.139596 0.0210407i
\(73\) 95720.4 1.27730e6i 0.0287988 0.384293i −0.964117 0.265476i \(-0.914471\pi\)
0.992916 0.118817i \(-0.0379102\pi\)
\(74\) −117983. + 300615.i −0.0338460 + 0.0862381i
\(75\) 539337. + 2.36299e6i 0.147620 + 0.646766i
\(76\) 231220. + 3.08542e6i 0.0604196 + 0.806243i
\(77\) −4.62445e6 1.42645e6i −1.15436 0.356074i
\(78\) 305034. 146897.i 0.0727810 0.0350495i
\(79\) −65408.0 + 113290.i −0.0149257 + 0.0258521i −0.873392 0.487018i \(-0.838085\pi\)
0.858466 + 0.512870i \(0.171418\pi\)
\(80\) 3.06705e6 + 5.31228e6i 0.669739 + 1.16002i
\(81\) −587470. 400530.i −0.122825 0.0837409i
\(82\) −260332. + 1.14059e6i −0.0521410 + 0.228445i
\(83\) −3.39479e6 511682.i −0.651687 0.0982261i −0.185126 0.982715i \(-0.559269\pi\)
−0.466562 + 0.884489i \(0.654507\pi\)
\(84\) 2.06999e6 + 2.59568e6i 0.381057 + 0.477831i
\(85\) −1.12006e7 −1.97823
\(86\) −752158. + 135030.i −0.127516 + 0.0228922i
\(87\) −5.63025e6 −0.916664
\(88\) −1.33592e6 1.67519e6i −0.208973 0.262044i
\(89\) 441062. + 66479.4i 0.0663185 + 0.00999591i 0.182118 0.983277i \(-0.441705\pi\)
−0.115799 + 0.993273i \(0.536943\pi\)
\(90\) 154470. 676778.i 0.0223355 0.0978582i
\(91\) −5.10946e6 3.48357e6i −0.710771 0.484596i
\(92\) 5.29821e6 + 9.17677e6i 0.709368 + 1.22866i
\(93\) 4.91580e6 8.51441e6i 0.633729 1.09765i
\(94\) 357959. 172384.i 0.0444514 0.0214067i
\(95\) 9.25922e6 + 2.85609e6i 1.10800 + 0.341774i
\(96\) 165235. + 2.20491e6i 0.0190613 + 0.254356i
\(97\) 514761. + 2.25532e6i 0.0572671 + 0.250903i 0.995456 0.0952193i \(-0.0303552\pi\)
−0.938189 + 0.346123i \(0.887498\pi\)
\(98\) 62802.1 160017.i 0.00674035 0.0171741i
\(99\) 517112. 6.90038e6i 0.0535625 0.714743i
\(100\) 9.60890e6 1.44831e6i 0.960890 0.144831i
\(101\) −6.87157e6 6.37588e6i −0.663638 0.615766i 0.274682 0.961535i \(-0.411428\pi\)
−0.938320 + 0.345769i \(0.887618\pi\)
\(102\) −1.17806e6 567323.i −0.109917 0.0529334i
\(103\) 1.33341e7 9.09105e6i 1.20236 0.819754i 0.214746 0.976670i \(-0.431108\pi\)
0.987612 + 0.156916i \(0.0501552\pi\)
\(104\) −1.00028e6 2.54867e6i −0.0871976 0.222176i
\(105\) 9.93535e6 3.06465e6i 0.837569 0.258356i
\(106\) 998155. 926153.i 0.0814006 0.0755287i
\(107\) 3.22194e6 4.04018e6i 0.254257 0.318829i −0.638278 0.769806i \(-0.720353\pi\)
0.892535 + 0.450977i \(0.148924\pi\)
\(108\) −8.34662e6 + 1.04663e7i −0.637569 + 0.799486i
\(109\) −8.80478e6 + 8.16964e6i −0.651217 + 0.604241i −0.935000 0.354647i \(-0.884601\pi\)
0.283783 + 0.958889i \(0.408410\pi\)
\(110\) −3.17887e6 + 980553.i −0.227719 + 0.0702419i
\(111\) −2.52672e6 6.43797e6i −0.175358 0.446805i
\(112\) 1.08069e7 7.36800e6i 0.726837 0.495549i
\(113\) 117500. + 56585.2i 0.00766063 + 0.00368916i 0.437710 0.899116i \(-0.355790\pi\)
−0.430050 + 0.902805i \(0.641504\pi\)
\(114\) 829200. + 769385.i 0.0524194 + 0.0486381i
\(115\) 3.28142e7 4.94595e6i 2.01196 0.303254i
\(116\) −1.68689e6 + 2.25099e7i −0.100342 + 1.33897i
\(117\) 3.23043e6 8.23100e6i 0.186470 0.475119i
\(118\) 816729. + 3.57832e6i 0.0457605 + 0.200490i
\(119\) 1.78477e6 + 2.38161e7i 0.0970887 + 1.29556i
\(120\) 4.39883e6 + 1.35686e6i 0.232382 + 0.0716804i
\(121\) −1.23195e7 + 5.93276e6i −0.632185 + 0.304444i
\(122\) 2.33509e6 4.04450e6i 0.116424 0.201653i
\(123\) −1.25275e7 2.16983e7i −0.607013 1.05138i
\(124\) −3.25681e7 2.22045e7i −1.53397 1.04584i
\(125\) −79947.2 + 350271.i −0.00366115 + 0.0160406i
\(126\) −1.46366e6 220611.i −0.0651843 0.00982495i
\(127\) −374535. 469652.i −0.0162248 0.0203453i 0.773653 0.633610i \(-0.218427\pi\)
−0.789878 + 0.613264i \(0.789856\pi\)
\(128\) 1.17848e7 0.496692
\(129\) 9.84123e6 1.30762e7i 0.403632 0.536313i
\(130\) −4.25091e6 −0.169700
\(131\) −1.69178e7 2.12143e7i −0.657500 0.824479i 0.335569 0.942016i \(-0.391072\pi\)
−0.993068 + 0.117537i \(0.962500\pi\)
\(132\) 2.24952e7 + 3.39060e6i 0.851296 + 0.128312i
\(133\) 4.59754e6 2.01431e7i 0.169451 0.742415i
\(134\) −1.10816e6 755529.i −0.0397864 0.0271259i
\(135\) 2.09620e7 + 3.63072e7i 0.733270 + 1.27006i
\(136\) −5.28702e6 + 9.15739e6i −0.180229 + 0.312166i
\(137\) −2.37228e7 + 1.14243e7i −0.788213 + 0.379583i −0.784278 0.620409i \(-0.786967\pi\)
−0.00393434 + 0.999992i \(0.501252\pi\)
\(138\) 3.70184e6 + 1.14187e6i 0.119906 + 0.0369861i
\(139\) 662076. + 8.83479e6i 0.0209101 + 0.279026i 0.997851 + 0.0655178i \(0.0208699\pi\)
−0.976941 + 0.213508i \(0.931511\pi\)
\(140\) −9.27583e6 4.06401e7i −0.285696 1.25172i
\(141\) −3.10857e6 + 7.92050e6i −0.0933885 + 0.237950i
\(142\) 207651. 2.77091e6i 0.00608589 0.0812106i
\(143\) −4.19006e7 + 6.31549e6i −1.19824 + 0.180606i
\(144\) 1.37095e7 + 1.27206e7i 0.382607 + 0.355008i
\(145\) 6.36914e7 + 3.06721e7i 1.73497 + 0.835519i
\(146\) −1.55122e6 + 1.05760e6i −0.0412512 + 0.0281246i
\(147\) 1.34497e6 + 3.42693e6i 0.0349222 + 0.0889804i
\(148\) −2.64962e7 + 8.17301e6i −0.671844 + 0.207236i
\(149\) −3.78344e7 + 3.51052e7i −0.936991 + 0.869401i −0.991631 0.129106i \(-0.958789\pi\)
0.0546399 + 0.998506i \(0.482599\pi\)
\(150\) 2.21501e6 2.77754e6i 0.0535866 0.0671955i
\(151\) 2.93008e7 3.67421e7i 0.692565 0.868449i −0.303878 0.952711i \(-0.598282\pi\)
0.996444 + 0.0842614i \(0.0268531\pi\)
\(152\) 6.70569e6 6.22197e6i 0.154878 0.143706i
\(153\) −3.26320e7 + 1.00656e7i −0.736587 + 0.227207i
\(154\) 2.59151e6 + 6.60305e6i 0.0571781 + 0.145687i
\(155\) −1.01994e8 + 6.95380e7i −2.19994 + 1.49990i
\(156\) 2.61909e7 + 1.26129e7i 0.552350 + 0.265998i
\(157\) 4.21824e7 + 3.91396e7i 0.869927 + 0.807175i 0.982460 0.186473i \(-0.0597058\pi\)
−0.112533 + 0.993648i \(0.535896\pi\)
\(158\) 189601. 28577.7i 0.00382420 0.000576405i
\(159\) −2.17920e6 + 2.90794e7i −0.0429940 + 0.573715i
\(160\) 1.01426e7 2.58429e7i 0.195762 0.498794i
\(161\) −1.57454e7 6.89853e7i −0.297348 1.30277i
\(162\) 77881.3 + 1.03925e6i 0.00143923 + 0.0192052i
\(163\) −4.83249e7 1.49063e7i −0.874006 0.269595i −0.174877 0.984590i \(-0.555953\pi\)
−0.699129 + 0.714995i \(0.746429\pi\)
\(164\) −9.05041e7 + 4.35845e7i −1.60219 + 0.771575i
\(165\) 3.56220e7 6.16991e7i 0.617340 1.06926i
\(166\) 2.51604e6 + 4.35792e6i 0.0426914 + 0.0739436i
\(167\) −4.07665e6 2.77941e6i −0.0677322 0.0461790i 0.528981 0.848634i \(-0.322574\pi\)
−0.596713 + 0.802455i \(0.703527\pi\)
\(168\) 2.18418e6 9.56951e6i 0.0355390 0.155707i
\(169\) 8.50590e6 + 1.28206e6i 0.135555 + 0.0204317i
\(170\) 1.02360e7 + 1.28355e7i 0.159793 + 0.200375i
\(171\) 2.95425e7 0.451815
\(172\) −4.93307e7 4.32634e7i −0.739209 0.648292i
\(173\) 5.80146e7 0.851874 0.425937 0.904753i \(-0.359944\pi\)
0.425937 + 0.904753i \(0.359944\pi\)
\(174\) 5.14534e6 + 6.45206e6i 0.0740444 + 0.0928487i
\(175\) −6.41651e7 9.67133e6i −0.905035 0.136412i
\(176\) 1.99432e7 8.73767e7i 0.275740 1.20810i
\(177\) −6.49458e7 4.42793e7i −0.880328 0.600198i
\(178\) −326893. 566195.i −0.00434446 0.00752482i
\(179\) −2.44825e7 + 4.24049e7i −0.319058 + 0.552625i −0.980292 0.197555i \(-0.936700\pi\)
0.661234 + 0.750180i \(0.270033\pi\)
\(180\) 5.37013e7 2.58612e7i 0.686326 0.330517i
\(181\) 9.62008e7 + 2.96740e7i 1.20588 + 0.371964i 0.831612 0.555357i \(-0.187418\pi\)
0.374266 + 0.927321i \(0.377895\pi\)
\(182\) 677364. + 9.03880e6i 0.00832861 + 0.111138i
\(183\) 2.22558e7 + 9.75090e7i 0.268451 + 1.17616i
\(184\) 1.14455e7 2.91628e7i 0.135448 0.345117i
\(185\) −6.48928e6 + 8.65935e7i −0.0753522 + 1.00550i
\(186\) −1.42496e7 + 2.14779e6i −0.162371 + 0.0244735i
\(187\) 1.19964e8 + 1.11310e8i 1.34154 + 1.24477i
\(188\) 3.07351e7 + 1.48012e7i 0.337351 + 0.162460i
\(189\) 7.38604e7 5.03572e7i 0.795784 0.542557i
\(190\) −5.18879e6 1.32208e7i −0.0548819 0.139837i
\(191\) 4.82297e7 1.48769e7i 0.500838 0.154488i −0.0340346 0.999421i \(-0.510836\pi\)
0.534873 + 0.844932i \(0.320359\pi\)
\(192\) −4.34650e7 + 4.03296e7i −0.443185 + 0.411216i
\(193\) 3.50669e7 4.39725e7i 0.351113 0.440281i −0.574643 0.818404i \(-0.694859\pi\)
0.925755 + 0.378123i \(0.123430\pi\)
\(194\) 2.11408e6 2.65098e6i 0.0207882 0.0260675i
\(195\) 6.67353e7 6.19213e7i 0.644517 0.598025i
\(196\) 1.41039e7 4.35049e6i 0.133796 0.0412707i
\(197\) −6.54418e7 1.66743e8i −0.609851 1.55387i −0.817658 0.575704i \(-0.804728\pi\)
0.207807 0.978170i \(-0.433367\pi\)
\(198\) −8.38015e6 + 5.71349e6i −0.0767227 + 0.0523086i
\(199\) −9.17838e7 4.42008e7i −0.825620 0.397598i −0.0271495 0.999631i \(-0.508643\pi\)
−0.798471 + 0.602034i \(0.794357\pi\)
\(200\) −2.10603e7 1.95411e7i −0.186149 0.172721i
\(201\) 2.84025e7 4.28099e6i 0.246701 0.0371841i
\(202\) −1.02677e6 + 1.37013e7i −0.00876485 + 0.116959i
\(203\) 5.50698e7 1.40316e8i 0.462038 1.17725i
\(204\) −2.49821e7 1.09454e8i −0.206027 0.902663i
\(205\) 2.35090e7 + 3.13706e8i 0.190588 + 2.54322i
\(206\) −2.26037e7 6.97233e6i −0.180154 0.0555703i
\(207\) 9.11563e7 4.38986e7i 0.714316 0.343997i
\(208\) 5.72620e7 9.91806e7i 0.441209 0.764197i
\(209\) −7.07870e7 1.22607e8i −0.536341 0.928971i
\(210\) −1.25916e7 8.58484e6i −0.0938242 0.0639683i
\(211\) 2.53267e7 1.10963e8i 0.185605 0.813188i −0.793293 0.608840i \(-0.791635\pi\)
0.978898 0.204349i \(-0.0655076\pi\)
\(212\) 1.15608e8 + 1.74250e7i 0.833318 + 0.125603i
\(213\) 3.71027e7 + 4.65254e7i 0.263074 + 0.329884i
\(214\) −7.57434e6 −0.0528320
\(215\) −1.82563e8 + 9.43104e7i −1.25279 + 0.647180i
\(216\) 3.95785e7 0.267222
\(217\) 1.64112e8 + 2.05790e8i 1.09026 + 1.36715i
\(218\) 1.74086e7 + 2.62392e6i 0.113806 + 0.0171535i
\(219\) 8.94697e6 3.91992e7i 0.0575601 0.252187i
\(220\) −2.36002e8 1.60904e8i −1.49430 1.01879i
\(221\) 1.04558e8 + 1.81100e8i 0.651607 + 1.12862i
\(222\) −5.06857e6 + 8.77902e6i −0.0310921 + 0.0538531i
\(223\) −1.82805e8 + 8.80344e7i −1.10388 + 0.531600i −0.894876 0.446314i \(-0.852736\pi\)
−0.209003 + 0.977915i \(0.567022\pi\)
\(224\) −5.65664e7 1.74484e7i −0.336272 0.103726i
\(225\) −6.93370e6 9.25237e7i −0.0405813 0.541520i
\(226\) −42536.1 186363.i −0.000245120 0.00107394i
\(227\) −4.98669e7 + 1.27059e8i −0.282958 + 0.720965i 0.716763 + 0.697317i \(0.245623\pi\)
−0.999720 + 0.0236474i \(0.992472\pi\)
\(228\) −7.25807e6 + 9.68523e7i −0.0405555 + 0.541175i
\(229\) 1.25881e8 1.89735e7i 0.692683 0.104405i 0.206741 0.978396i \(-0.433714\pi\)
0.485943 + 0.873991i \(0.338476\pi\)
\(230\) −3.56560e7 3.30839e7i −0.193235 0.179295i
\(231\) −1.36868e8 6.59122e7i −0.730567 0.351823i
\(232\) 5.51410e7 3.75945e7i 0.289912 0.197659i
\(233\) 1.28285e7 + 3.26865e7i 0.0664401 + 0.169287i 0.960238 0.279184i \(-0.0900640\pi\)
−0.893797 + 0.448471i \(0.851969\pi\)
\(234\) −1.23846e7 + 3.82015e6i −0.0631870 + 0.0194906i
\(235\) 7.83140e7 7.26648e7i 0.393643 0.365247i
\(236\) −1.96489e8 + 2.46389e8i −0.973073 + 1.22019i
\(237\) −2.56027e6 + 3.21048e6i −0.0124930 + 0.0156657i
\(238\) 2.56614e7 2.38103e7i 0.123384 0.114484i
\(239\) −2.79877e8 + 8.63306e7i −1.32609 + 0.409046i −0.875299 0.483581i \(-0.839336\pi\)
−0.450795 + 0.892627i \(0.648860\pi\)
\(240\) 7.03469e7 + 1.79241e8i 0.328477 + 0.836947i
\(241\) −1.59952e8 + 1.09053e8i −0.736088 + 0.501856i −0.872390 0.488811i \(-0.837431\pi\)
0.136302 + 0.990667i \(0.456478\pi\)
\(242\) 1.80572e7 + 8.69589e6i 0.0819024 + 0.0394421i
\(243\) 1.54171e8 + 1.43050e8i 0.689256 + 0.639536i
\(244\) 3.96512e8 5.97646e7i 1.74740 0.263378i
\(245\) 3.45424e6 4.60937e7i 0.0150062 0.200244i
\(246\) −1.34169e7 + 3.41857e7i −0.0574618 + 0.146410i
\(247\) −4.02557e7 1.76372e8i −0.169976 0.744714i
\(248\) 8.70885e6 + 1.16212e8i 0.0362560 + 0.483803i
\(249\) −1.02979e8 3.17650e7i −0.422720 0.130392i
\(250\) 474460. 228488.i 0.00192048 0.000924854i
\(251\) 7.88311e7 1.36539e8i 0.314659 0.545005i −0.664706 0.747105i \(-0.731443\pi\)
0.979365 + 0.202100i \(0.0647766\pi\)
\(252\) −6.35461e7 1.10065e8i −0.250142 0.433259i
\(253\) −4.00607e8 2.73129e8i −1.55524 1.06034i
\(254\) −195926. + 858407.i −0.000750194 + 0.00328682i
\(255\) −3.47665e8 5.24021e7i −1.31302 0.197906i
\(256\) 1.39977e8 + 1.75526e8i 0.521455 + 0.653884i
\(257\) 8.53674e7 0.313708 0.156854 0.987622i \(-0.449865\pi\)
0.156854 + 0.987622i \(0.449865\pi\)
\(258\) −2.39785e7 + 672346.i −0.0869268 + 0.00243738i
\(259\) 1.85159e8 0.662211
\(260\) −2.27569e8 2.85362e8i −0.802983 1.00691i
\(261\) 2.13123e8 + 3.21231e7i 0.741973 + 0.111834i
\(262\) −8.85002e6 + 3.87745e7i −0.0304011 + 0.133196i
\(263\) 1.20744e8 + 8.23216e7i 0.409278 + 0.279041i 0.750408 0.660975i \(-0.229857\pi\)
−0.341130 + 0.940016i \(0.610809\pi\)
\(264\) −3.36292e7 5.82474e7i −0.112487 0.194833i
\(265\) 1.83069e8 3.17085e8i 0.604303 1.04668i
\(266\) −2.72849e7 + 1.31397e7i −0.0888866 + 0.0428055i
\(267\) 1.33794e7 + 4.12701e6i 0.0430178 + 0.0132692i
\(268\) −8.60582e6 1.14837e8i −0.0273099 0.364426i
\(269\) 1.18296e8 + 5.18287e8i 0.370540 + 1.62344i 0.725263 + 0.688472i \(0.241718\pi\)
−0.354723 + 0.934972i \(0.615425\pi\)
\(270\) 2.24501e7 5.72019e7i 0.0694136 0.176863i
\(271\) 8.65290e6 1.15465e8i 0.0264101 0.352418i −0.968307 0.249763i \(-0.919647\pi\)
0.994717 0.102655i \(-0.0327337\pi\)
\(272\) −4.37357e8 + 6.59210e7i −1.31779 + 0.198624i
\(273\) −1.42298e8 1.32034e8i −0.423283 0.392749i
\(274\) 3.47715e7 + 1.67451e7i 0.102117 + 0.0491767i
\(275\) −3.67376e8 + 2.50473e8i −1.06524 + 0.726266i
\(276\) 1.21522e8 + 3.09632e8i 0.347914 + 0.886471i
\(277\) −8.86803e7 + 2.73543e7i −0.250696 + 0.0773296i −0.417556 0.908651i \(-0.637113\pi\)
0.166860 + 0.985981i \(0.446637\pi\)
\(278\) 9.51929e6 8.83261e6i 0.0265734 0.0246565i
\(279\) −2.34657e8 + 2.94251e8i −0.646873 + 0.811153i
\(280\) −7.68405e7 + 9.63549e7i −0.209188 + 0.262314i
\(281\) −3.05204e8 + 2.83188e8i −0.820574 + 0.761381i −0.973944 0.226787i \(-0.927178\pi\)
0.153370 + 0.988169i \(0.450987\pi\)
\(282\) 1.19174e7 3.67604e6i 0.0316454 0.00976133i
\(283\) −2.92847e7 7.46163e7i −0.0768049 0.195696i 0.887314 0.461165i \(-0.152568\pi\)
−0.964119 + 0.265469i \(0.914473\pi\)
\(284\) 1.97126e8 1.34398e8i 0.510658 0.348161i
\(285\) 2.74042e8 + 1.31971e8i 0.701228 + 0.337694i
\(286\) 4.55292e7 + 4.22449e7i 0.115082 + 0.106781i
\(287\) 6.63293e8 9.99753e7i 1.65622 0.249635i
\(288\) 6.32533e6 8.44056e7i 0.0156030 0.208208i
\(289\) 1.45143e8 3.69819e8i 0.353716 0.901253i
\(290\) −2.30568e7 1.01018e8i −0.0555145 0.243225i
\(291\) 5.42659e6 + 7.24128e7i 0.0129093 + 0.172262i
\(292\) −1.54039e8 4.75148e7i −0.362069 0.111684i
\(293\) 2.95213e8 1.42167e8i 0.685643 0.330188i −0.0584252 0.998292i \(-0.518608\pi\)
0.744068 + 0.668103i \(0.232894\pi\)
\(294\) 2.69800e6 4.67307e6i 0.00619193 0.0107247i
\(295\) 4.93468e8 + 8.54711e8i 1.11913 + 1.93840i
\(296\) 6.77337e7 + 4.61801e7i 0.151804 + 0.103498i
\(297\) 1.36303e8 5.97183e8i 0.301896 1.32269i
\(298\) 7.48053e7 + 1.12751e7i 0.163748 + 0.0246810i
\(299\) −3.86291e8 4.84394e8i −0.835730 1.04797i
\(300\) 3.05034e8 0.652264
\(301\) 2.29625e8 + 3.73160e8i 0.485328 + 0.788701i
\(302\) −6.88824e7 −0.143908
\(303\) −1.83462e8 2.30054e8i −0.378876 0.475096i
\(304\) 3.78359e8 + 5.70284e7i 0.772407 + 0.116422i
\(305\) 2.79439e8 1.22430e9i 0.563945 2.47081i
\(306\) 4.13564e7 + 2.81963e7i 0.0825122 + 0.0562559i
\(307\) −1.13272e8 1.96193e8i −0.223429 0.386990i 0.732418 0.680855i \(-0.238392\pi\)
−0.955847 + 0.293865i \(0.905058\pi\)
\(308\) −3.04526e8 + 5.27455e8i −0.593878 + 1.02863i
\(309\) 4.56420e8 2.19800e8i 0.880055 0.423812i
\(310\) 1.72897e8 + 5.33318e7i 0.329627 + 0.101676i
\(311\) 5.07945e6 + 6.77806e7i 0.00957537 + 0.127774i 0.999943 0.0106893i \(-0.00340258\pi\)
−0.990367 + 0.138464i \(0.955784\pi\)
\(312\) −1.91245e7 8.37899e7i −0.0356491 0.156189i
\(313\) 6.77172e7 1.72541e8i 0.124823 0.318043i −0.854779 0.518992i \(-0.826307\pi\)
0.979602 + 0.200949i \(0.0644025\pi\)
\(314\) 6.30304e6 8.41082e7i 0.0114894 0.153315i
\(315\) −3.93570e8 + 5.93211e7i −0.709471 + 0.106936i
\(316\) 1.20685e7 + 1.11980e7i 0.0215154 + 0.0199634i
\(317\) 1.35419e8 + 6.52145e7i 0.238766 + 0.114984i 0.549441 0.835533i \(-0.314841\pi\)
−0.310675 + 0.950516i \(0.600555\pi\)
\(318\) 3.53155e7 2.40777e7i 0.0615843 0.0419875i
\(319\) −3.77348e8 9.61467e8i −0.650841 1.65832i
\(320\) 7.11397e8 2.19437e8i 1.21363 0.374356i
\(321\) 1.18910e8 1.10332e8i 0.200655 0.186181i
\(322\) −6.46653e7 + 8.10877e7i −0.107938 + 0.135350i
\(323\) −4.35616e8 + 5.46245e8i −0.719275 + 0.901943i
\(324\) −6.55954e7 + 6.08636e7i −0.107144 + 0.0994146i
\(325\) −5.42928e8 + 1.67471e8i −0.877304 + 0.270612i
\(326\) 2.70809e7 + 6.90010e7i 0.0432914 + 0.110305i
\(327\) −3.11520e8 + 2.12391e8i −0.492684 + 0.335906i
\(328\) 2.67576e8 + 1.28858e8i 0.418686 + 0.201629i
\(329\) −1.66987e8 1.54942e8i −0.258522 0.239874i
\(330\) −1.03259e8 + 1.55638e7i −0.158172 + 0.0238405i
\(331\) 3.19714e7 4.26629e8i 0.0484579 0.646625i −0.919108 0.394006i \(-0.871089\pi\)
0.967566 0.252619i \(-0.0812920\pi\)
\(332\) −1.57851e8 + 4.02198e8i −0.236736 + 0.603194i
\(333\) 5.89127e7 + 2.58114e8i 0.0874288 + 0.383050i
\(334\) 540444. + 7.21172e6i 0.000793666 + 0.0105907i
\(335\) −3.44621e8 1.06301e8i −0.500823 0.154484i
\(336\) 3.69914e8 1.78141e8i 0.532002 0.256199i
\(337\) 7.26594e6 1.25850e7i 0.0103416 0.0179122i −0.860808 0.508929i \(-0.830041\pi\)
0.871150 + 0.491017i \(0.163375\pi\)
\(338\) −6.30414e6 1.09191e7i −0.00888009 0.0153808i
\(339\) 3.38245e6 + 2.30611e6i 0.00471555 + 0.00321500i
\(340\) −3.13670e8 + 1.37428e9i −0.432809 + 1.89626i
\(341\) 1.78345e9 + 2.68813e8i 2.43569 + 0.367121i
\(342\) −2.69982e7 3.38546e7i −0.0364958 0.0457643i
\(343\) −7.90662e8 −1.05794
\(344\) −9.06911e6 + 1.93777e8i −0.0120119 + 0.256654i
\(345\) 1.04168e9 1.36574
\(346\) −5.30181e7 6.64826e7i −0.0688110 0.0862862i
\(347\) −1.01108e9 1.52396e8i −1.29907 0.195804i −0.537158 0.843482i \(-0.680502\pi\)
−0.761914 + 0.647678i \(0.775740\pi\)
\(348\) −1.57673e8 + 6.90810e8i −0.200553 + 0.878681i
\(349\) −4.10009e8 2.79539e8i −0.516303 0.352009i 0.276967 0.960879i \(-0.410671\pi\)
−0.793270 + 0.608870i \(0.791623\pi\)
\(350\) 4.75559e7 + 8.23692e7i 0.0592879 + 0.102690i
\(351\) 3.91361e8 6.77857e8i 0.483062 0.836688i
\(352\) −3.65454e8 + 1.75994e8i −0.446616 + 0.215079i
\(353\) −9.35956e7 2.88704e7i −0.113252 0.0349335i 0.237611 0.971360i \(-0.423636\pi\)
−0.350863 + 0.936427i \(0.614112\pi\)
\(354\) 8.60991e6 + 1.14891e8i 0.0103154 + 0.137650i
\(355\) −1.66261e8 7.28438e8i −0.197238 0.864158i
\(356\) 2.05086e7 5.22550e7i 0.0240913 0.0613836i
\(357\) −5.60246e7 + 7.47597e8i −0.0651689 + 0.869618i
\(358\) 7.09684e7 1.06968e7i 0.0817475 0.0123215i
\(359\) −2.73270e8 2.53558e8i −0.311718 0.289232i 0.508762 0.860907i \(-0.330103\pi\)
−0.820480 + 0.571675i \(0.806294\pi\)
\(360\) −1.58768e8 7.64587e7i −0.179351 0.0863710i
\(361\) −2.39153e8 + 1.63052e8i −0.267547 + 0.182410i
\(362\) −5.39102e7 1.37361e8i −0.0597298 0.152189i
\(363\) −4.10151e8 + 1.26515e8i −0.450060 + 0.138825i
\(364\) −5.70509e8 + 5.29355e8i −0.620023 + 0.575297i
\(365\) −3.14759e8 + 3.94695e8i −0.338807 + 0.424851i
\(366\) 9.14027e7 1.14615e8i 0.0974486 0.122197i
\(367\) −1.03208e9 + 9.57631e8i −1.08989 + 1.01127i −0.0900071 + 0.995941i \(0.528689\pi\)
−0.999883 + 0.0153287i \(0.995121\pi\)
\(368\) 1.25220e9 3.86254e8i 1.30981 0.404022i
\(369\) 3.50409e8 + 8.92826e8i 0.363063 + 0.925070i
\(370\) 1.05163e8 7.16992e7i 0.107934 0.0735882i
\(371\) −7.03395e8 3.38737e8i −0.715139 0.344393i
\(372\) −9.07021e8 8.41592e8i −0.913518 0.847621i
\(373\) −1.09967e9 + 1.65748e8i −1.09719 + 0.165374i −0.672595 0.740011i \(-0.734820\pi\)
−0.424591 + 0.905385i \(0.639582\pi\)
\(374\) 1.79254e7 2.39198e8i 0.0177182 0.236432i
\(375\) −4.12028e6 + 1.04983e7i −0.00403476 + 0.0102804i
\(376\) −2.24426e7 9.83276e7i −0.0217729 0.0953933i
\(377\) −9.86307e7 1.31614e9i −0.0948020 1.26504i
\(378\) −1.25207e8 3.86211e7i −0.119236 0.0367793i
\(379\) 6.95535e8 3.34952e8i 0.656269 0.316042i −0.0759503 0.997112i \(-0.524199\pi\)
0.732219 + 0.681069i \(0.238485\pi\)
\(380\) 6.09732e8 1.05609e9i 0.570028 0.987318i
\(381\) −9.42821e6 1.63301e7i −0.00873357 0.0151270i
\(382\) −6.11243e7 4.16738e7i −0.0561038 0.0382509i
\(383\) −2.30475e8 + 1.00978e9i −0.209618 + 0.918396i 0.755204 + 0.655490i \(0.227538\pi\)
−0.964822 + 0.262906i \(0.915319\pi\)
\(384\) 3.65797e8 + 5.51350e7i 0.329671 + 0.0496899i
\(385\) 1.18923e9 + 1.49124e9i 1.06207 + 1.33179i
\(386\) −8.24376e7 −0.0729574
\(387\) −4.47128e8 + 4.38828e8i −0.392142 + 0.384863i
\(388\) 2.91135e8 0.253036
\(389\) 6.74936e8 + 8.46342e8i 0.581351 + 0.728992i 0.982343 0.187090i \(-0.0599057\pi\)
−0.400991 + 0.916082i \(0.631334\pi\)
\(390\) −1.31947e8 1.98879e7i −0.112635 0.0169770i
\(391\) −5.32445e8 + 2.33279e9i −0.450460 + 1.97359i
\(392\) −3.60546e7 2.45816e7i −0.0302315 0.0206115i
\(393\) −4.25875e8 7.37637e8i −0.353922 0.613012i
\(394\) −1.31276e8 + 2.27376e8i −0.108130 + 0.187287i
\(395\) 4.64526e7 2.23704e7i 0.0379245 0.0182635i
\(396\) −8.32169e8 2.56690e8i −0.673408 0.207719i
\(397\) −1.08706e8 1.45058e9i −0.0871939 1.16352i −0.853517 0.521066i \(-0.825535\pi\)
0.766323 0.642456i \(-0.222084\pi\)
\(398\) 3.32265e7 + 1.45575e8i 0.0264176 + 0.115743i
\(399\) 2.36946e8 6.03728e8i 0.186743 0.475813i
\(400\) 8.98047e7 1.19836e9i 0.0701599 0.936219i
\(401\) −3.18882e8 + 4.80638e7i −0.246959 + 0.0372231i −0.271355 0.962479i \(-0.587472\pi\)
0.0243960 + 0.999702i \(0.492234\pi\)
\(402\) −3.08622e7 2.86359e7i −0.0236938 0.0219847i
\(403\) 2.07646e9 + 9.99969e8i 1.58036 + 0.761060i
\(404\) −9.74733e8 + 6.64562e8i −0.735446 + 0.501419i
\(405\) 1.02381e8 + 2.60862e8i 0.0765817 + 0.195127i
\(406\) −2.11123e8 + 6.51230e7i −0.156565 + 0.0482940i
\(407\) 9.30056e8 8.62965e8i 0.683799 0.634473i
\(408\) −2.06951e8 + 2.59508e8i −0.150854 + 0.189165i
\(409\) 7.58369e8 9.50964e8i 0.548086 0.687278i −0.428219 0.903675i \(-0.640859\pi\)
0.976306 + 0.216397i \(0.0694304\pi\)
\(410\) 3.38011e8 3.13629e8i 0.242208 0.224736i
\(411\) −7.89797e8 + 2.43620e8i −0.561137 + 0.173088i
\(412\) −7.42020e8 1.89064e9i −0.522728 1.33189i
\(413\) 1.73876e9 1.18546e9i 1.21454 0.828062i
\(414\) −1.33612e8 6.43440e7i −0.0925429 0.0445663i
\(415\) 9.91893e8 + 9.20342e8i 0.681234 + 0.632093i
\(416\) −5.12529e8 + 7.72513e7i −0.349053 + 0.0526113i
\(417\) −2.07828e7 + 2.77327e8i −0.0140355 + 0.187291i
\(418\) −7.58122e7 + 1.93166e8i −0.0507718 + 0.129364i
\(419\) −3.81390e7 1.67098e8i −0.0253292 0.110974i 0.960683 0.277647i \(-0.0895547\pi\)
−0.986012 + 0.166673i \(0.946698\pi\)
\(420\) −9.77853e7 1.30485e9i −0.0644023 0.859388i
\(421\) 2.01720e9 + 6.22224e8i 1.31753 + 0.406406i 0.872284 0.489000i \(-0.162638\pi\)
0.445251 + 0.895406i \(0.353114\pi\)
\(422\) −1.50305e8 + 7.23833e7i −0.0973601 + 0.0468862i
\(423\) 1.62859e8 2.82080e8i 0.104621 0.181210i
\(424\) −1.72828e8 2.99346e8i −0.110112 0.190719i
\(425\) 1.81302e9 + 1.23609e9i 1.14562 + 0.781071i
\(426\) 1.94091e7 8.50368e7i 0.0121639 0.0532934i
\(427\) −2.64778e9 3.99089e8i −1.64583 0.248069i
\(428\) −4.05486e8 5.08463e8i −0.249990 0.313477i
\(429\) −1.33013e9 −0.813380
\(430\) 2.74917e8 + 1.23023e8i 0.166748 + 0.0746186i
\(431\) 2.41044e9 1.45019 0.725096 0.688648i \(-0.241795\pi\)
0.725096 + 0.688648i \(0.241795\pi\)
\(432\) 1.03220e9 + 1.29433e9i 0.615984 + 0.772420i
\(433\) −2.17207e9 3.27388e8i −1.28578 0.193800i −0.529648 0.848218i \(-0.677676\pi\)
−0.756134 + 0.654417i \(0.772914\pi\)
\(434\) 8.58499e7 3.76133e8i 0.0504111 0.220865i
\(435\) 1.83346e9 + 1.25003e9i 1.06797 + 0.728131i
\(436\) 7.55810e8 + 1.30910e9i 0.436727 + 0.756433i
\(437\) 1.03500e9 1.79268e9i 0.593275 1.02758i
\(438\) −5.30973e7 + 2.55703e7i −0.0301935 + 0.0145404i
\(439\) −9.02692e8 2.78444e8i −0.509230 0.157077i 0.0294844 0.999565i \(-0.490613\pi\)
−0.538714 + 0.842489i \(0.681090\pi\)
\(440\) 6.31081e7 + 8.42119e8i 0.0353184 + 0.471291i
\(441\) −3.13592e7 1.37394e8i −0.0174113 0.0762837i
\(442\) 1.11981e8 2.85323e8i 0.0616832 0.157166i
\(443\) 6.14844e6 8.20453e7i 0.00336010 0.0448374i −0.995272 0.0971299i \(-0.969034\pi\)
0.998632 + 0.0522925i \(0.0166528\pi\)
\(444\) −8.60674e8 + 1.29726e8i −0.466658 + 0.0703373i
\(445\) −1.28870e8 1.19574e8i −0.0693253 0.0643245i
\(446\) 2.67945e8 + 1.29036e8i 0.143013 + 0.0688712i
\(447\) −1.33861e9 + 9.12650e8i −0.708889 + 0.483312i
\(448\) −5.79951e8 1.47769e9i −0.304732 0.776444i
\(449\) 1.19474e8 3.68530e7i 0.0622892 0.0192137i −0.263454 0.964672i \(-0.584862\pi\)
0.325743 + 0.945458i \(0.394386\pi\)
\(450\) −9.96923e7 + 9.25009e7i −0.0515725 + 0.0478522i
\(451\) 2.86577e9 3.59356e9i 1.47104 1.84462i
\(452\) 1.02333e7 1.28322e7i 0.00521234 0.00653607i
\(453\) 1.08139e9 1.00338e9i 0.546560 0.507134i
\(454\) 1.91177e8 5.89702e7i 0.0958826 0.0295759i
\(455\) 8.90445e8 + 2.26882e9i 0.443167 + 1.12917i
\(456\) 2.37252e8 1.61756e8i 0.117175 0.0798882i
\(457\) −1.88189e9 9.06269e8i −0.922331 0.444171i −0.0884281 0.996083i \(-0.528184\pi\)
−0.833903 + 0.551911i \(0.813899\pi\)
\(458\) −1.36782e8 1.26915e8i −0.0665273 0.0617283i
\(459\) −2.98915e9 + 4.50542e8i −1.44279 + 0.217466i
\(460\) 3.12100e8 4.16469e9i 0.149500 1.99494i
\(461\) −1.12712e9 + 2.87187e9i −0.535820 + 1.36525i 0.364981 + 0.931015i \(0.381075\pi\)
−0.900801 + 0.434232i \(0.857020\pi\)
\(462\) 4.95474e7 + 2.17081e8i 0.0233762 + 0.102418i
\(463\) 3.33474e7 + 4.44990e8i 0.0156145 + 0.208361i 0.999554 + 0.0298595i \(0.00950599\pi\)
−0.983940 + 0.178502i \(0.942875\pi\)
\(464\) 2.66751e9 + 8.22818e8i 1.23963 + 0.382376i
\(465\) −3.49119e9 + 1.68127e9i −1.61023 + 0.775446i
\(466\) 2.57339e7 4.45724e7i 0.0117803 0.0204040i
\(467\) −3.12958e8 5.42059e8i −0.142193 0.246285i 0.786129 0.618062i \(-0.212082\pi\)
−0.928322 + 0.371777i \(0.878749\pi\)
\(468\) −9.19446e8 6.26868e8i −0.414635 0.282693i
\(469\) −1.71117e8 + 7.49712e8i −0.0765928 + 0.335575i
\(470\) −1.54840e8 2.33384e7i −0.0687927 0.0103688i
\(471\) 1.12622e9 + 1.41223e9i 0.496649 + 0.622778i
\(472\) 9.31723e8 0.407840
\(473\) 2.89258e9 + 8.04181e8i 1.25681 + 0.349413i
\(474\) 6.01886e6 0.00259591
\(475\) −1.18357e9 1.48415e9i −0.506717 0.635403i
\(476\) 2.97213e9 + 4.47977e8i 1.26312 + 0.190384i
\(477\) 2.48401e8 1.08832e9i 0.104795 0.459135i
\(478\) 3.54704e8 + 2.41833e8i 0.148549 + 0.101279i
\(479\) 1.96645e8 + 3.40599e8i 0.0817538 + 0.141602i 0.904003 0.427525i \(-0.140615\pi\)
−0.822250 + 0.569127i \(0.807281\pi\)
\(480\) 4.35729e8 7.54705e8i 0.179834 0.311482i
\(481\) 1.46069e9 7.03429e8i 0.598479 0.288212i
\(482\) 2.71147e8 + 8.36378e7i 0.110291 + 0.0340203i
\(483\) −1.65988e8 2.21495e9i −0.0670287 0.894436i
\(484\) 3.82924e8 + 1.67770e9i 0.153516 + 0.672598i
\(485\) 3.33099e8 8.48722e8i 0.132580 0.337807i
\(486\) 2.30367e7 3.07404e8i 0.00910320 0.121474i
\(487\) 2.00772e9 3.02615e8i 0.787684 0.118724i 0.257131 0.966376i \(-0.417223\pi\)
0.530552 + 0.847652i \(0.321985\pi\)
\(488\) −8.69057e8 8.06367e8i −0.338516 0.314097i
\(489\) −1.43025e9 6.88774e8i −0.553136 0.266376i
\(490\) −5.59784e7 + 3.81654e7i −0.0214948 + 0.0146549i
\(491\) 3.41604e8 + 8.70394e8i 0.130238 + 0.331841i 0.981086 0.193570i \(-0.0620066\pi\)
−0.850848 + 0.525411i \(0.823911\pi\)
\(492\) −3.01313e9 + 9.29429e8i −1.14062 + 0.351834i
\(493\) −3.73654e9 + 3.46700e9i −1.40445 + 1.30314i
\(494\) −1.65327e8 + 2.07313e8i −0.0617020 + 0.0773718i
\(495\) −1.70043e9 + 2.13227e9i −0.630144 + 0.790175i
\(496\) −3.57333e9 + 3.31557e9i −1.31488 + 1.22003i
\(497\) −1.52240e9 + 4.69597e8i −0.556263 + 0.171585i
\(498\) 5.77089e7 + 1.47040e8i 0.0209382 + 0.0533498i
\(499\) −1.58113e8 + 1.07800e8i −0.0569661 + 0.0388389i −0.591468 0.806328i \(-0.701452\pi\)
0.534502 + 0.845167i \(0.320499\pi\)
\(500\) 4.07381e7 + 1.96184e7i 0.0145749 + 0.00701890i
\(501\) −1.13535e8 1.05345e8i −0.0403363 0.0374266i
\(502\) −2.28511e8 + 3.44425e7i −0.0806203 + 0.0121515i
\(503\) 2.70591e8 3.61078e9i 0.0948037 1.26507i −0.723517 0.690306i \(-0.757476\pi\)
0.818321 0.574761i \(-0.194905\pi\)
\(504\) −1.37276e8 + 3.49775e8i −0.0477627 + 0.121697i
\(505\) 8.22113e8 + 3.60191e9i 0.284061 + 1.24455i
\(506\) 5.31087e7 + 7.08687e8i 0.0182238 + 0.243180i
\(507\) 2.58023e8 + 7.95895e7i 0.0879286 + 0.0271224i
\(508\) −6.81133e7 + 3.28016e7i −0.0230520 + 0.0111013i
\(509\) −1.69070e9 + 2.92838e9i −0.568270 + 0.984272i 0.428467 + 0.903557i \(0.359054\pi\)
−0.996737 + 0.0807151i \(0.974280\pi\)
\(510\) 2.57672e8 + 4.46301e8i 0.0860144 + 0.148981i
\(511\) 8.89402e8 + 6.06384e8i 0.294866 + 0.201036i
\(512\) 4.08887e8 1.79145e9i 0.134635 0.589875i
\(513\) 2.58592e9 + 3.89765e8i 0.845677 + 0.127465i
\(514\) −7.80151e7 9.78279e7i −0.0253401 0.0317755i
\(515\) −6.36060e9 −2.05198
\(516\) −1.32880e9 1.57368e9i −0.425782 0.504245i
\(517\) −1.56091e9 −0.496776
\(518\) −1.69213e8 2.12186e8i −0.0534907 0.0670752i
\(519\) 1.80076e9 + 2.71420e8i 0.565418 + 0.0852230i
\(520\) −2.40123e8 + 1.05205e9i −0.0748896 + 0.328113i
\(521\) 1.90297e9 + 1.29742e9i 0.589522 + 0.401930i 0.821015 0.570907i \(-0.193408\pi\)
−0.231492 + 0.972837i \(0.574361\pi\)
\(522\) −1.57956e8 2.73587e8i −0.0486059 0.0841878i
\(523\) −2.96015e9 + 5.12713e9i −0.904811 + 1.56718i −0.0836394 + 0.996496i \(0.526654\pi\)
−0.821171 + 0.570682i \(0.806679\pi\)
\(524\) −3.07669e9 + 1.48166e9i −0.934168 + 0.449871i
\(525\) −1.94642e9 6.00391e8i −0.587055 0.181083i
\(526\) −1.60071e7 2.13599e8i −0.00479580 0.0639955i
\(527\) −1.98062e9 8.67768e9i −0.589474 2.58266i
\(528\) 1.02782e9 2.61885e9i 0.303878 0.774268i
\(529\) 2.75338e8 3.67413e9i 0.0808670 1.07910i
\(530\) −5.30670e8 + 7.99857e7i −0.154831 + 0.0233371i
\(531\) 2.20577e9 + 2.04666e9i 0.639337 + 0.593218i
\(532\) −2.34274e9 1.12820e9i −0.674579 0.324860i
\(533\) 4.85278e9 3.30857e9i 1.38818 0.946444i
\(534\) −7.49774e6 1.91039e7i −0.00213077 0.00542910i
\(535\) −1.94621e9 + 6.00328e8i −0.549481 + 0.169492i
\(536\) −2.49580e8 + 2.31577e8i −0.0700057 + 0.0649558i
\(537\) −9.58321e8 + 1.20170e9i −0.267055 + 0.334877i
\(538\) 4.85830e8 6.09212e8i 0.134508 0.168667i
\(539\) −4.95068e8 + 4.59356e8i −0.136177 + 0.126354i
\(540\) 5.04179e9 1.55518e9i 1.37786 0.425015i
\(541\) −1.39086e8 3.54385e8i −0.0377652 0.0962243i 0.910747 0.412965i \(-0.135507\pi\)
−0.948512 + 0.316741i \(0.897412\pi\)
\(542\) −1.40226e8 + 9.56047e7i −0.0378296 + 0.0257918i
\(543\) 2.84722e9 + 1.37115e9i 0.763170 + 0.367523i
\(544\) 1.46740e9 + 1.36155e9i 0.390799 + 0.362608i
\(545\) 4.68107e9 7.05558e8i 1.23868 0.186700i
\(546\) −2.12627e7 + 2.83731e8i −0.00559042 + 0.0745989i
\(547\) −2.51789e8 + 6.41547e8i −0.0657780 + 0.167600i −0.959983 0.280058i \(-0.909646\pi\)
0.894205 + 0.447657i \(0.147742\pi\)
\(548\) 7.37370e8 + 3.23063e9i 0.191405 + 0.838600i
\(549\) −2.86120e8 3.81800e9i −0.0737981 0.984767i
\(550\) 6.22768e8 + 1.92099e8i 0.159609 + 0.0492328i
\(551\) 3.97294e9 1.91327e9i 1.01177 0.487242i
\(552\) 4.91704e8 8.51657e8i 0.124428 0.215515i
\(553\) −5.49686e7 9.52084e7i −0.0138222 0.0239407i
\(554\) 1.12390e8 + 7.66260e7i 0.0280829 + 0.0191466i
\(555\) −6.06552e8 + 2.65748e9i −0.150606 + 0.659849i
\(556\) 1.10254e9 + 1.66181e8i 0.272039 + 0.0410033i
\(557\) −1.19507e9 1.49857e9i −0.293022 0.367438i 0.613429 0.789750i \(-0.289790\pi\)
−0.906450 + 0.422313i \(0.861218\pi\)
\(558\) 5.51648e8 0.134413
\(559\) 3.22912e9 + 2.07143e9i 0.781884 + 0.501568i
\(560\) −5.15506e9 −1.24044
\(561\) 3.20289e9 + 4.01629e9i 0.765899 + 0.960407i
\(562\) 6.03441e8 + 9.09541e7i 0.143403 + 0.0216145i
\(563\) 1.15215e9 5.04790e9i 0.272101 1.19215i −0.635427 0.772161i \(-0.719176\pi\)
0.907528 0.419991i \(-0.137967\pi\)
\(564\) 8.84761e8 + 6.03220e8i 0.207658 + 0.141579i
\(565\) −2.57003e7 4.45143e7i −0.00599472 0.0103832i
\(566\) −5.87449e7 + 1.01749e8i −0.0136180 + 0.0235870i
\(567\) 5.38361e8 2.59261e8i 0.124032 0.0597305i
\(568\) −6.74034e8 2.07912e8i −0.154334 0.0476058i
\(569\) −2.68685e8 3.58535e9i −0.0611436 0.815904i −0.940512 0.339762i \(-0.889654\pi\)
0.879368 0.476143i \(-0.157965\pi\)
\(570\) −9.92053e7 4.34647e8i −0.0224374 0.0983048i
\(571\) −1.39439e8 + 3.55284e8i −0.0313442 + 0.0798637i −0.945689 0.325073i \(-0.894611\pi\)
0.914345 + 0.404937i \(0.132706\pi\)
\(572\) −3.98522e8 + 5.31790e9i −0.0890361 + 1.18810i
\(573\) 1.56664e9 2.36133e8i 0.347879 0.0524343i
\(574\) −7.20735e8 6.68745e8i −0.159068 0.147594i
\(575\) −5.85737e9 2.82076e9i −1.28489 0.618770i
\(576\) 1.87539e9 1.27862e9i 0.408895 0.278780i
\(577\) 2.63121e9 + 6.70422e9i 0.570218 + 1.45289i 0.867177 + 0.498000i \(0.165932\pi\)
−0.296959 + 0.954890i \(0.595973\pi\)
\(578\) −5.56442e8 + 1.71640e8i −0.119859 + 0.0369717i
\(579\) 1.29419e9 1.20083e9i 0.277092 0.257104i
\(580\) 5.54701e9 6.95573e9i 1.18049 1.48028i
\(581\) 1.79889e9 2.25573e9i 0.380529 0.477168i
\(582\) 7.80232e7 7.23949e7i 0.0164056 0.0152222i
\(583\) −5.11190e9 + 1.57681e9i −1.06842 + 0.329564i
\(584\) 1.74118e8 + 4.43647e8i 0.0361743 + 0.0921706i
\(585\) −2.87943e9 + 1.96316e9i −0.594650 + 0.405425i
\(586\) −4.32706e8 2.08380e8i −0.0888282 0.0427774i
\(587\) 3.85178e8 + 3.57393e8i 0.0786010 + 0.0729311i 0.718495 0.695532i \(-0.244831\pi\)
−0.639894 + 0.768463i \(0.721022\pi\)
\(588\) 4.58136e8 6.90530e7i 0.0929339 0.0140075i
\(589\) −5.75432e8 + 7.67861e9i −0.116035 + 1.54839i
\(590\) 5.28500e8 1.34660e9i 0.105941 0.269932i
\(591\) −1.25119e9 5.48183e9i −0.249326 1.09237i
\(592\) 2.56253e8 + 3.41945e9i 0.0507624 + 0.677377i
\(593\) −5.26395e9 1.62371e9i −1.03662 0.319755i −0.270682 0.962669i \(-0.587249\pi\)
−0.765939 + 0.642913i \(0.777725\pi\)
\(594\) −8.08914e8 + 3.89552e8i −0.158361 + 0.0762629i
\(595\) 4.70649e9 8.15187e9i 0.915983 1.58653i
\(596\) 3.24774e9 + 5.62525e9i 0.628376 + 1.08838i
\(597\) −2.64215e9 1.80139e9i −0.508215 0.346495i
\(598\) −2.02076e8 + 8.85352e8i −0.0386420 + 0.169302i
\(599\) −2.10880e9 3.17850e8i −0.400905 0.0604267i −0.0545046 0.998514i \(-0.517358\pi\)
−0.346400 + 0.938087i \(0.612596\pi\)
\(600\) −5.62284e8 7.05082e8i −0.106274 0.133263i
\(601\) 4.37582e9 0.822240 0.411120 0.911581i \(-0.365138\pi\)
0.411120 + 0.911581i \(0.365138\pi\)
\(602\) 2.17780e8 6.04163e8i 0.0406845 0.112867i
\(603\) −1.09955e9 −0.204223
\(604\) −3.68756e9 4.62405e9i −0.680941 0.853873i
\(605\) 5.32899e9 + 8.03216e8i 0.978365 + 0.147465i
\(606\) −9.59723e7 + 4.20482e8i −0.0175183 + 0.0767526i
\(607\) 2.66752e9 + 1.81869e9i 0.484114 + 0.330064i 0.780661 0.624955i \(-0.214883\pi\)
−0.296547 + 0.955018i \(0.595835\pi\)
\(608\) −8.65868e8 1.49973e9i −0.156239 0.270614i
\(609\) 2.36582e9 4.09772e9i 0.424444 0.735159i
\(610\) −1.65838e9 + 7.98632e8i −0.295821 + 0.142460i
\(611\) −1.90596e9 5.87912e8i −0.338042 0.104272i
\(612\) 3.21170e8 + 4.28571e9i 0.0566375 + 0.755775i
\(613\) −2.23452e9 9.79006e9i −0.391807 1.71662i −0.658277 0.752775i \(-0.728715\pi\)
0.266470 0.963843i \(-0.414143\pi\)
\(614\) −1.21314e8 + 3.09102e8i −0.0211505 + 0.0538905i
\(615\) −7.37957e8 + 9.84735e9i −0.127929 + 1.70709i
\(616\) 1.78056e9 2.68376e8i 0.306919 0.0462605i
\(617\) −2.85892e9 2.65269e9i −0.490009 0.454662i 0.396053 0.918227i \(-0.370379\pi\)
−0.886063 + 0.463565i \(0.846570\pi\)
\(618\) −6.68994e8 3.22170e8i −0.114015 0.0549068i
\(619\) −1.70946e9 + 1.16549e9i −0.289696 + 0.197511i −0.699444 0.714687i \(-0.746569\pi\)
0.409748 + 0.912199i \(0.365617\pi\)
\(620\) 5.67576e9 + 1.44616e10i 0.956431 + 2.43695i
\(621\) 8.55828e9 2.63988e9i 1.43406 0.442348i
\(622\) 7.30321e7 6.77639e7i 0.0121688 0.0112910i
\(623\) −2.33717e8 + 2.93072e8i −0.0387242 + 0.0485587i
\(624\) 2.24141e9 2.81064e9i 0.369297 0.463084i
\(625\) 4.52579e9 4.19932e9i 0.741505 0.688017i
\(626\) −2.59610e8 + 8.00792e7i −0.0422972 + 0.0130470i
\(627\) −1.62360e9 4.13686e9i −0.263052 0.670246i
\(628\) 5.98358e9 4.07954e9i 0.964057 0.657283i
\(629\) −5.64125e9 2.71668e9i −0.903853 0.435273i
\(630\) 4.27653e8 + 3.96804e8i 0.0681397 + 0.0632244i
\(631\) −1.11104e10 + 1.67462e9i −1.76046 + 0.265347i −0.948138 0.317860i \(-0.897036\pi\)
−0.812324 + 0.583207i \(0.801798\pi\)
\(632\) 3.63742e6 4.85380e7i 0.000573171 0.00764843i
\(633\) 1.30527e9 3.32579e9i 0.204545 0.521172i
\(634\) −4.90229e7 2.14783e8i −0.00763988 0.0334725i
\(635\) 1.76929e7 + 2.36095e8i 0.00274214 + 0.0365914i
\(636\) 3.50691e9 + 1.08174e9i 0.540536 + 0.166733i
\(637\) −7.77523e8 + 3.74435e8i −0.119186 + 0.0573969i
\(638\) −7.56957e8 + 1.31109e9i −0.115398 + 0.199875i
\(639\) −1.13901e9 1.97282e9i −0.172693 0.299112i
\(640\) −3.83766e9 2.61647e9i −0.578678 0.394536i
\(641\) −1.49805e9 + 6.56338e9i −0.224658 + 0.984293i 0.729262 + 0.684234i \(0.239863\pi\)
−0.953921 + 0.300059i \(0.902994\pi\)
\(642\) −2.35106e8 3.54365e7i −0.0350664 0.00528540i
\(643\) 3.93105e9 + 4.92938e9i 0.583136 + 0.731229i 0.982644 0.185500i \(-0.0593906\pi\)
−0.399508 + 0.916730i \(0.630819\pi\)
\(644\) −8.90518e9 −1.31384
\(645\) −6.10795e9 + 2.07325e9i −0.896266 + 0.304223i
\(646\) 1.02408e9 0.149458
\(647\) 6.40516e8 + 8.03182e8i 0.0929748 + 0.116587i 0.826143 0.563461i \(-0.190530\pi\)
−0.733168 + 0.680048i \(0.761959\pi\)
\(648\) 2.61601e8 + 3.94300e7i 0.0377683 + 0.00569265i
\(649\) 3.20873e9 1.40583e10i 0.460761 2.01873i
\(650\) 6.88084e8 + 4.69128e8i 0.0982753 + 0.0670030i
\(651\) 4.13121e9 + 7.15547e9i 0.586873 + 1.01649i
\(652\) −3.18226e9 + 5.51184e9i −0.449645 + 0.778807i
\(653\) −5.03940e9 + 2.42685e9i −0.708243 + 0.341072i −0.753086 0.657922i \(-0.771436\pi\)
0.0448426 + 0.998994i \(0.485721\pi\)
\(654\) 5.28082e8 + 1.62892e8i 0.0738209 + 0.0227707i
\(655\) 7.99191e8 + 1.06645e10i 0.111124 + 1.48284i
\(656\) 2.76428e9 + 1.21111e10i 0.382312 + 1.67502i
\(657\) −5.62320e8 + 1.43277e9i −0.0773580 + 0.197105i
\(658\) −2.49518e7 + 3.32959e8i −0.00341438 + 0.0455617i
\(659\) 5.85547e9 8.82570e8i 0.797008 0.120130i 0.262101 0.965040i \(-0.415585\pi\)
0.534907 + 0.844911i \(0.320347\pi\)
\(660\) −6.57266e9 6.09854e9i −0.889893 0.825700i
\(661\) −1.28230e9 6.17523e8i −0.172697 0.0831664i 0.345538 0.938405i \(-0.387696\pi\)
−0.518235 + 0.855238i \(0.673411\pi\)
\(662\) −5.18119e8 + 3.53248e8i −0.0694108 + 0.0473235i
\(663\) 2.39819e9 + 6.11049e9i 0.319585 + 0.814289i
\(664\) 1.22065e9 3.76521e8i 0.161809 0.0499116i
\(665\) −5.96937e9 + 5.53877e9i −0.787142 + 0.730361i
\(666\) 2.41950e8 3.03395e8i 0.0317370 0.0397969i
\(667\) 9.41588e9 1.18071e10i 1.22863 1.54065i
\(668\) −4.55188e8 + 4.22353e8i −0.0590844 + 0.0548224i
\(669\) −6.08610e9 + 1.87731e9i −0.785864 + 0.242407i
\(670\) 1.93123e8 + 4.92069e8i 0.0248069 + 0.0632068i
\(671\) −1.51598e10 + 1.03358e10i −1.93716 + 1.32073i
\(672\) −1.67417e9 8.06240e8i −0.212818 0.102488i
\(673\) −5.13692e9 4.76636e9i −0.649606 0.602746i 0.284959 0.958540i \(-0.408020\pi\)
−0.934565 + 0.355794i \(0.884211\pi\)
\(674\) −2.10621e7 + 3.17460e6i −0.00264967 + 0.000399373i
\(675\) 6.13777e8 8.19029e9i 0.0768153 1.02503i
\(676\) 3.95508e8 1.00774e9i 0.0492427 0.125468i
\(677\) −1.01872e9 4.46331e9i −0.126181 0.552836i −0.998012 0.0630283i \(-0.979924\pi\)
0.871831 0.489808i \(-0.162933\pi\)
\(678\) −448413. 5.98366e6i −5.52554e−5 0.000737332i
\(679\) −1.85773e9 5.73034e8i −0.227740 0.0702483i
\(680\) 3.75483e9 1.80823e9i 0.457941 0.220533i
\(681\) −2.14230e9 + 3.71057e9i −0.259935 + 0.450221i
\(682\) −1.32181e9 2.28944e9i −0.159559 0.276365i
\(683\) −6.55396e9 4.46841e9i −0.787102 0.536637i 0.101761 0.994809i \(-0.467552\pi\)
−0.888864 + 0.458172i \(0.848505\pi\)
\(684\) 8.27327e8 3.62476e9i 0.0988509 0.433094i
\(685\) 1.02616e10 + 1.54669e9i 1.21983 + 0.183860i
\(686\) 7.22567e8 + 9.06070e8i 0.0854562 + 0.107159i
\(687\) 3.99607e9 0.470202
\(688\) −6.57359e9 + 4.75706e9i −0.769561 + 0.556902i
\(689\) −6.83583e9 −0.796203
\(690\) −9.51969e8 1.19373e9i −0.110319 0.138336i
\(691\) 1.10854e10 + 1.67085e9i 1.27814 + 0.192648i 0.752801 0.658248i \(-0.228702\pi\)
0.525335 + 0.850896i \(0.323940\pi\)
\(692\) 1.62468e9 7.11817e9i 0.186378 0.816577i
\(693\) 4.80483e9 + 3.27588e9i 0.548418 + 0.373905i
\(694\) 7.49363e8 + 1.29793e9i 0.0851008 + 0.147399i
\(695\) 1.74591e9 3.02400e9i 0.197276 0.341693i
\(696\) 1.88745e9 9.08947e8i 0.212199 0.102189i
\(697\) −2.16754e10 6.68598e9i −2.42467 0.747911i
\(698\) 5.43552e7 + 7.25320e8i 0.00604988 + 0.0807301i
\(699\) 2.45270e8 + 1.07460e9i 0.0271628 + 0.119008i
\(700\) −2.98355e9 + 7.60197e9i −0.328769 + 0.837689i
\(701\) 5.12398e8 6.83748e9i 0.0561816 0.749692i −0.895980 0.444095i \(-0.853525\pi\)
0.952161 0.305596i \(-0.0988558\pi\)
\(702\) −1.13446e9 + 1.70992e8i −0.123768 + 0.0186550i
\(703\) 3.97070e9 + 3.68427e9i 0.431046 + 0.399952i
\(704\) −9.80011e9 4.71949e9i −1.05859 0.509789i
\(705\) 2.77081e9 1.88911e9i 0.297814 0.203046i
\(706\) 5.24503e7 + 1.33641e8i 0.00560959 + 0.0142930i
\(707\) 7.52781e9 2.32202e9i 0.801126 0.247115i
\(708\) −7.25169e9 + 6.72858e9i −0.767932 + 0.712536i
\(709\) −5.27800e8 + 6.61840e8i −0.0556170 + 0.0697415i −0.808862 0.587999i \(-0.799916\pi\)
0.753245 + 0.657740i \(0.228487\pi\)
\(710\) −6.82821e8 + 8.56230e8i −0.0715983 + 0.0897814i
\(711\) 1.15232e8 1.06919e8i 0.0120234 0.0111561i
\(712\) −1.58591e8 + 4.89189e7i −0.0164664 + 0.00507922i
\(713\) 9.63444e9 + 2.45482e10i 0.995436 + 2.53633i
\(714\) 9.07918e8 6.19008e8i 0.0933475 0.0636433i
\(715\) 1.50469e10 + 7.24620e9i 1.53949 + 0.741378i
\(716\) 4.51730e9 + 4.19144e9i 0.459921 + 0.426745i
\(717\) −9.09121e9 + 1.37028e9i −0.921095 + 0.138833i
\(718\) −4.08329e7 + 5.44878e8i −0.00411694 + 0.0549368i
\(719\) 8.32137e8 2.12025e9i 0.0834918 0.212734i −0.883031 0.469315i \(-0.844501\pi\)
0.966523 + 0.256581i \(0.0825962\pi\)
\(720\) −1.64020e9 7.18620e9i −0.163770 0.717523i
\(721\) 1.01353e9 + 1.35247e10i 0.100708 + 1.34386i
\(722\) 4.05407e8 + 1.25051e8i 0.0400877 + 0.0123654i
\(723\) −5.47507e9 + 2.63665e9i −0.538773 + 0.259459i
\(724\) 6.33495e9 1.09725e10i 0.620381 1.07453i
\(725\) −6.92459e9 1.19937e10i −0.674856 1.16888i
\(726\) 5.19808e8 + 3.54399e8i 0.0504155 + 0.0343727i
\(727\) 2.78767e9 1.22136e10i 0.269073 1.17889i −0.642020 0.766688i \(-0.721903\pi\)
0.911094 0.412200i \(-0.135239\pi\)
\(728\) 2.27525e9 + 3.42938e8i 0.218559 + 0.0329425i
\(729\) 5.08569e9 + 6.37726e9i 0.486188 + 0.609660i
\(730\) 7.39956e8 0.0704005
\(731\) −1.52092e9 1.47381e10i −0.144011 1.39551i
\(732\) 1.25873e10 1.18616
\(733\) 1.74239e9 + 2.18489e9i 0.163411 + 0.204911i 0.856795 0.515657i \(-0.172452\pi\)
−0.693384 + 0.720569i \(0.743881\pi\)
\(734\) 2.04060e9 + 3.07571e8i 0.190468 + 0.0287085i
\(735\) 3.22868e8 1.41458e9i 0.0299929 0.131408i
\(736\) −4.90024e9 3.34092e9i −0.453048 0.308883i
\(737\) 2.63464e9 + 4.56332e9i 0.242429 + 0.419899i
\(738\) 7.02917e8 1.21749e9i 0.0643734 0.111498i
\(739\) −4.30813e9 + 2.07469e9i −0.392675 + 0.189102i −0.619794 0.784765i \(-0.712784\pi\)
0.227119 + 0.973867i \(0.427069\pi\)
\(740\) 1.04430e10 + 3.22123e9i 0.947355 + 0.292220i
\(741\) −4.24373e8 5.66287e9i −0.0383164 0.511296i
\(742\) 2.54635e8 + 1.11563e9i 0.0228825 + 0.100255i
\(743\) −5.75531e9 + 1.46643e10i −0.514764 + 1.31160i 0.403266 + 0.915083i \(0.367875\pi\)
−0.918029 + 0.396513i \(0.870220\pi\)
\(744\) −2.73374e8 + 3.64792e9i −0.0243361 + 0.324743i
\(745\) 2.01147e10 3.03181e9i 1.78224 0.268630i
\(746\) 1.19490e9 + 1.10871e9i 0.105377 + 0.0977755i
\(747\) 3.71687e9 + 1.78995e9i 0.326253 + 0.157115i
\(748\) 1.70169e10 1.16019e10i 1.48670 1.01362i
\(749\) 1.58661e9 + 4.04261e9i 0.137970 + 0.351541i
\(750\) 1.57961e7 4.87245e6i 0.00136721 0.000421729i
\(751\) 1.37579e10 1.27654e10i 1.18525 1.09976i 0.192291 0.981338i \(-0.438408\pi\)
0.992964 0.118418i \(-0.0377823\pi\)