Properties

Label 43.8.g.a.9.4
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 9.4
Character \(\chi\) \(=\) 43.9
Dual form 43.8.g.a.24.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-10.7744 - 13.5107i) q^{2} +(85.1508 + 12.8344i) q^{3} +(-37.9683 + 166.350i) q^{4} +(153.575 + 104.706i) q^{5} +(-744.050 - 1288.73i) q^{6} +(118.145 - 204.633i) q^{7} +(663.700 - 319.621i) q^{8} +(4996.09 + 1541.09i) q^{9} +O(q^{10})\) \(q+(-10.7744 - 13.5107i) q^{2} +(85.1508 + 12.8344i) q^{3} +(-37.9683 + 166.350i) q^{4} +(153.575 + 104.706i) q^{5} +(-744.050 - 1288.73i) q^{6} +(118.145 - 204.633i) q^{7} +(663.700 - 319.621i) q^{8} +(4996.09 + 1541.09i) q^{9} +(-240.036 - 3203.05i) q^{10} +(1090.75 + 4778.90i) q^{11} +(-5368.04 + 13677.5i) q^{12} +(-544.430 + 7264.91i) q^{13} +(-4037.68 + 608.582i) q^{14} +(11733.2 + 10886.8i) q^{15} +(8208.21 + 3952.87i) q^{16} +(16055.0 - 10946.1i) q^{17} +(-33008.9 - 84105.2i) q^{18} +(-267.558 + 82.5307i) q^{19} +(-23248.8 + 21571.7i) q^{20} +(12686.5 - 15908.3i) q^{21} +(52814.1 - 66226.8i) q^{22} +(-5477.88 + 5082.73i) q^{23} +(60616.7 - 18697.8i) q^{24} +(-15920.3 - 40564.2i) q^{25} +(104020. - 70919.7i) q^{26} +(235964. + 113634. i) q^{27} +(29554.9 + 27423.0i) q^{28} +(-120667. + 18187.6i) q^{29} +(20670.1 - 275823. i) q^{30} +(98136.3 - 250047. i) q^{31} +(-56014.6 - 245416. i) q^{32} +(31544.0 + 420926. i) q^{33} +(-320873. - 98976.1i) q^{34} +(39570.3 - 19056.0i) q^{35} +(-446054. + 772588. i) q^{36} +(163749. + 283622. i) q^{37} +(3997.84 + 2725.68i) q^{38} +(-139599. + 611625. i) q^{39} +(135394. + 20407.3i) q^{40} +(-293697. - 368285. i) q^{41} -351622. q^{42} +(-268328. + 447011. i) q^{43} -836385. q^{44} +(605914. + 759792. i) q^{45} +(127692. + 19246.5i) q^{46} +(309197. - 1.35468e6i) q^{47} +(648203. + 441937. i) q^{48} +(383855. + 664857. i) q^{49} +(-376520. + 652151. i) q^{50} +(1.50758e6 - 726012. i) q^{51} +(-1.18785e6 - 366403. i) q^{52} +(-101841. - 1.35897e6i) q^{53} +(-1.00710e6 - 4.41239e6i) q^{54} +(-332865. + 848127. i) q^{55} +(13007.7 - 173576. i) q^{56} +(-23842.0 + 3593.60i) q^{57} +(1.54585e6 + 1.43433e6i) q^{58} +(2.20247e6 + 1.06065e6i) q^{59} +(-2.25651e6 + 1.53846e6i) q^{60} +(-318050. - 810377. i) q^{61} +(-4.43568e6 + 1.36823e6i) q^{62} +(905619. - 840292. i) q^{63} +(-1.98515e6 + 2.48930e6i) q^{64} +(-844288. + 1.05870e6i) q^{65} +(5.34715e6 - 4.96143e6i) q^{66} +(-3.46408e6 + 1.06853e6i) q^{67} +(1.21130e6 + 3.08635e6i) q^{68} +(-531679. + 362493. i) q^{69} +(-683808. - 329305. i) q^{70} +(-34439.2 - 31954.9i) q^{71} +(3.80847e6 - 574035. i) q^{72} +(-117942. + 1.57383e6i) q^{73} +(2.06763e6 - 5.26824e6i) q^{74} +(-835006. - 3.65840e6i) q^{75} +(-3570.26 - 47641.9i) q^{76} +(1.10679e6 + 341398. i) q^{77} +(9.76760e6 - 4.70383e6i) q^{78} +(-2.25305e6 + 3.90240e6i) q^{79} +(846689. + 1.46651e6i) q^{80} +(9.18651e6 + 6.26326e6i) q^{81} +(-1.81137e6 + 7.93613e6i) q^{82} +(-8.59202e6 - 1.29504e6i) q^{83} +(2.16467e6 + 2.71441e6i) q^{84} +3.61176e6 q^{85} +(8.93052e6 - 1.19098e6i) q^{86} -1.05083e7 q^{87} +(2.25137e6 + 2.82313e6i) q^{88} +(-7.90334e6 - 1.19124e6i) q^{89} +(3.73695e6 - 1.63727e7i) q^{90} +(1.42232e6 + 969719. i) q^{91} +(-637527. - 1.10423e6i) q^{92} +(1.15656e7 - 2.00322e7i) q^{93} +(-2.16342e7 + 1.04185e7i) q^{94} +(-49731.6 - 15340.2i) q^{95} +(-1.61992e6 - 2.16163e7i) q^{96} +(-695939. - 3.04911e6i) q^{97} +(4.84687e6 - 1.23496e7i) q^{98} +(-1.91522e6 + 2.55568e7i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −10.7744 13.5107i −0.952335 1.19419i −0.980883 0.194598i \(-0.937660\pi\)
0.0285481 0.999592i \(-0.490912\pi\)
\(3\) 85.1508 + 12.8344i 1.82081 + 0.274443i 0.968575 0.248720i \(-0.0800100\pi\)
0.852233 + 0.523163i \(0.175248\pi\)
\(4\) −37.9683 + 166.350i −0.296628 + 1.29961i
\(5\) 153.575 + 104.706i 0.549446 + 0.374606i 0.805992 0.591926i \(-0.201632\pi\)
−0.256546 + 0.966532i \(0.582585\pi\)
\(6\) −744.050 1288.73i −1.40628 2.43575i
\(7\) 118.145 204.633i 0.130188 0.225492i −0.793561 0.608491i \(-0.791775\pi\)
0.923749 + 0.382998i \(0.125109\pi\)
\(8\) 663.700 319.621i 0.458308 0.220709i
\(9\) 4996.09 + 1541.09i 2.28445 + 0.704659i
\(10\) −240.036 3203.05i −0.0759059 1.01289i
\(11\) 1090.75 + 4778.90i 0.247088 + 1.08256i 0.934407 + 0.356208i \(0.115930\pi\)
−0.687319 + 0.726356i \(0.741212\pi\)
\(12\) −5368.04 + 13677.5i −0.896771 + 2.28493i
\(13\) −544.430 + 7264.91i −0.0687290 + 0.917125i 0.851150 + 0.524923i \(0.175906\pi\)
−0.919879 + 0.392202i \(0.871713\pi\)
\(14\) −4037.68 + 608.582i −0.393263 + 0.0592749i
\(15\) 11733.2 + 10886.8i 0.897628 + 0.832877i
\(16\) 8208.21 + 3952.87i 0.500990 + 0.241264i
\(17\) 16055.0 10946.1i 0.792571 0.540366i −0.0980129 0.995185i \(-0.531249\pi\)
0.890584 + 0.454820i \(0.150296\pi\)
\(18\) −33008.9 84105.2i −1.33406 3.39914i
\(19\) −267.558 + 82.5307i −0.00894912 + 0.00276044i −0.299227 0.954182i \(-0.596729\pi\)
0.290277 + 0.956943i \(0.406252\pi\)
\(20\) −23248.8 + 21571.7i −0.649823 + 0.602948i
\(21\) 12686.5 15908.3i 0.298932 0.374849i
\(22\) 52814.1 66226.8i 1.05748 1.32603i
\(23\) −5477.88 + 5082.73i −0.0938782 + 0.0871062i −0.725716 0.687994i \(-0.758491\pi\)
0.631838 + 0.775101i \(0.282301\pi\)
\(24\) 60616.7 18697.8i 0.895062 0.276090i
\(25\) −15920.3 40564.2i −0.203779 0.519222i
\(26\) 104020. 70919.7i 1.16067 0.791335i
\(27\) 235964. + 113634.i 2.30713 + 1.11106i
\(28\) 29554.9 + 27423.0i 0.254435 + 0.236081i
\(29\) −120667. + 18187.6i −0.918745 + 0.138478i −0.591355 0.806411i \(-0.701407\pi\)
−0.327389 + 0.944890i \(0.606169\pi\)
\(30\) 20670.1 275823.i 0.139771 1.86512i
\(31\) 98136.3 250047.i 0.591649 1.50750i −0.250427 0.968136i \(-0.580571\pi\)
0.842075 0.539360i \(-0.181334\pi\)
\(32\) −56014.6 245416.i −0.302188 1.32397i
\(33\) 31544.0 + 420926.i 0.152798 + 2.03895i
\(34\) −320873. 98976.1i −1.40009 0.431871i
\(35\) 39570.3 19056.0i 0.156002 0.0751267i
\(36\) −446054. + 772588.i −1.59341 + 2.75987i
\(37\) 163749. + 283622.i 0.531464 + 0.920522i 0.999326 + 0.0367206i \(0.0116912\pi\)
−0.467862 + 0.883802i \(0.654976\pi\)
\(38\) 3997.84 + 2725.68i 0.0118190 + 0.00805809i
\(39\) −139599. + 611625.i −0.376841 + 1.65105i
\(40\) 135394. + 20407.3i 0.334495 + 0.0504169i
\(41\) −293697. 368285.i −0.665513 0.834527i 0.328418 0.944533i \(-0.393485\pi\)
−0.993931 + 0.110005i \(0.964913\pi\)
\(42\) −351622. −0.732325
\(43\) −268328. + 447011.i −0.514668 + 0.857390i
\(44\) −836385. −1.48020
\(45\) 605914. + 759792.i 0.991213 + 1.24294i
\(46\) 127692. + 19246.5i 0.193425 + 0.0291541i
\(47\) 309197. 1.35468e6i 0.434403 1.90325i 0.00530785 0.999986i \(-0.498310\pi\)
0.429095 0.903259i \(-0.358832\pi\)
\(48\) 648203. + 441937.i 0.845993 + 0.576788i
\(49\) 383855. + 664857.i 0.466102 + 0.807313i
\(50\) −376520. + 652151.i −0.425983 + 0.737825i
\(51\) 1.50758e6 726012.i 1.59142 0.766387i
\(52\) −1.18785e6 366403.i −1.17152 0.361366i
\(53\) −101841. 1.35897e6i −0.0939627 1.25385i −0.822470 0.568808i \(-0.807405\pi\)
0.728508 0.685038i \(-0.240214\pi\)
\(54\) −1.00710e6 4.41239e6i −0.870351 3.81326i
\(55\) −332865. + 848127.i −0.269773 + 0.687371i
\(56\) 13007.7 173576.i 0.00989792 0.132079i
\(57\) −23842.0 + 3593.60i −0.0170522 + 0.00257021i
\(58\) 1.54585e6 + 1.43433e6i 1.04032 + 0.965278i
\(59\) 2.20247e6 + 1.06065e6i 1.39614 + 0.672344i 0.972374 0.233429i \(-0.0749946\pi\)
0.423763 + 0.905773i \(0.360709\pi\)
\(60\) −2.25651e6 + 1.53846e6i −1.34868 + 0.919513i
\(61\) −318050. 810377.i −0.179407 0.457123i 0.812674 0.582719i \(-0.198011\pi\)
−0.992082 + 0.125596i \(0.959916\pi\)
\(62\) −4.43568e6 + 1.36823e6i −2.36368 + 0.729100i
\(63\) 905619. 840292.i 0.456303 0.423388i
\(64\) −1.98515e6 + 2.48930e6i −0.946593 + 1.18699i
\(65\) −844288. + 1.05870e6i −0.381324 + 0.478165i
\(66\) 5.34715e6 4.96143e6i 2.28938 2.12424i
\(67\) −3.46408e6 + 1.06853e6i −1.40710 + 0.434034i −0.903012 0.429615i \(-0.858649\pi\)
−0.504093 + 0.863650i \(0.668173\pi\)
\(68\) 1.21130e6 + 3.08635e6i 0.467166 + 1.19032i
\(69\) −531679. + 362493.i −0.194840 + 0.132840i
\(70\) −683808. 329305.i −0.238282 0.114751i
\(71\) −34439.2 31954.9i −0.0114195 0.0105958i 0.674442 0.738328i \(-0.264384\pi\)
−0.685862 + 0.727732i \(0.740575\pi\)
\(72\) 3.80847e6 574035.i 1.20251 0.181249i
\(73\) −117942. + 1.57383e6i −0.0354845 + 0.473507i 0.950949 + 0.309347i \(0.100110\pi\)
−0.986434 + 0.164160i \(0.947509\pi\)
\(74\) 2.06763e6 5.26824e6i 0.593147 1.51131i
\(75\) −835006. 3.65840e6i −0.228547 1.00133i
\(76\) −3570.26 47641.9i −0.000932938 0.0124492i
\(77\) 1.10679e6 + 341398.i 0.276278 + 0.0852204i
\(78\) 9.76760e6 4.70383e6i 2.33054 1.12233i
\(79\) −2.25305e6 + 3.90240e6i −0.514134 + 0.890507i 0.485731 + 0.874108i \(0.338553\pi\)
−0.999866 + 0.0163987i \(0.994780\pi\)
\(80\) 846689. + 1.46651e6i 0.184888 + 0.320235i
\(81\) 9.18651e6 + 6.26326e6i 1.92067 + 1.30949i
\(82\) −1.81137e6 + 7.93613e6i −0.362793 + 1.58950i
\(83\) −8.59202e6 1.29504e6i −1.64938 0.248605i −0.742458 0.669893i \(-0.766340\pi\)
−0.906927 + 0.421288i \(0.861578\pi\)
\(84\) 2.16467e6 + 2.71441e6i 0.398486 + 0.499686i
\(85\) 3.61176e6 0.637899
\(86\) 8.93052e6 1.19098e6i 1.51402 0.201911i
\(87\) −1.05083e7 −1.71086
\(88\) 2.25137e6 + 2.82313e6i 0.352174 + 0.441613i
\(89\) −7.90334e6 1.19124e6i −1.18835 0.179116i −0.475042 0.879963i \(-0.657567\pi\)
−0.713311 + 0.700847i \(0.752805\pi\)
\(90\) 3.73695e6 1.63727e7i 0.540342 2.36739i
\(91\) 1.42232e6 + 969719.i 0.197857 + 0.134897i
\(92\) −637527. 1.10423e6i −0.0853573 0.147843i
\(93\) 1.15656e7 2.00322e7i 1.49100 2.58249i
\(94\) −2.16342e7 + 1.04185e7i −2.68653 + 1.29377i
\(95\) −49731.6 15340.2i −0.00595114 0.00183568i
\(96\) −1.61992e6 2.16163e7i −0.186872 2.49363i
\(97\) −695939. 3.04911e6i −0.0774230 0.339212i 0.921350 0.388734i \(-0.127087\pi\)
−0.998773 + 0.0495216i \(0.984230\pi\)
\(98\) 4.84687e6 1.23496e7i 0.520200 1.32545i
\(99\) −1.91522e6 + 2.55568e7i −0.198378 + 2.64718i
\(100\) 7.35233e6 1.10819e6i 0.735233 0.110819i
\(101\) 9.97060e6 + 9.25136e6i 0.962934 + 0.893472i 0.994363 0.106034i \(-0.0338152\pi\)
−0.0314287 + 0.999506i \(0.510006\pi\)
\(102\) −2.60523e7 1.25461e7i −2.43077 1.17060i
\(103\) −4.65014e6 + 3.17041e6i −0.419311 + 0.285881i −0.754538 0.656256i \(-0.772139\pi\)
0.335228 + 0.942137i \(0.391187\pi\)
\(104\) 1.96068e6 + 4.99573e6i 0.170919 + 0.435494i
\(105\) 3.61401e6 1.11477e6i 0.304668 0.0939776i
\(106\) −1.72634e7 + 1.60181e7i −1.40785 + 1.30629i
\(107\) 6.46013e6 8.10074e6i 0.509798 0.639266i −0.458610 0.888638i \(-0.651653\pi\)
0.968408 + 0.249371i \(0.0802240\pi\)
\(108\) −2.78623e7 + 3.49382e7i −2.12830 + 2.66881i
\(109\) 1.23156e6 1.14272e6i 0.0910881 0.0845174i −0.633315 0.773894i \(-0.718306\pi\)
0.724403 + 0.689377i \(0.242116\pi\)
\(110\) 1.50452e7 4.64084e6i 1.07777 0.332447i
\(111\) 1.03033e7 + 2.62523e7i 0.715063 + 1.82195i
\(112\) 1.77864e6 1.21266e6i 0.119626 0.0815597i
\(113\) 1.58028e7 + 7.61023e6i 1.03029 + 0.496162i 0.871110 0.491088i \(-0.163401\pi\)
0.159181 + 0.987249i \(0.449115\pi\)
\(114\) 305436. + 283403.i 0.0193087 + 0.0179159i
\(115\) −1.37345e6 + 207015.i −0.0842116 + 0.0126929i
\(116\) 1.55601e6 2.07635e7i 0.0925570 1.23509i
\(117\) −1.39159e7 + 3.54571e7i −0.803269 + 2.04670i
\(118\) −9.40019e6 4.11849e7i −0.526683 2.30755i
\(119\) −343118. 4.57859e6i −0.0186650 0.249068i
\(120\) 1.12670e7 + 3.47540e6i 0.595214 + 0.183599i
\(121\) −4.09080e6 + 1.97003e6i −0.209923 + 0.101094i
\(122\) −7.52198e6 + 1.30284e7i −0.375036 + 0.649581i
\(123\) −2.02818e7 3.51292e7i −0.982742 1.70216i
\(124\) 3.78693e7 + 2.58189e7i 1.78366 + 1.21608i
\(125\) 5.03363e6 2.20538e7i 0.230514 1.00995i
\(126\) −2.11105e7 3.18189e6i −0.940159 0.141706i
\(127\) −7.77195e6 9.74571e6i −0.336680 0.422183i 0.584456 0.811426i \(-0.301308\pi\)
−0.921135 + 0.389243i \(0.872737\pi\)
\(128\) 2.28000e7 0.960948
\(129\) −2.85855e7 + 3.46195e7i −1.17242 + 1.41990i
\(130\) 2.34006e7 0.934168
\(131\) −1.41233e7 1.77101e7i −0.548892 0.688289i 0.427569 0.903983i \(-0.359370\pi\)
−0.976461 + 0.215694i \(0.930799\pi\)
\(132\) −7.12188e7 1.07345e7i −2.69517 0.406231i
\(133\) −14722.1 + 64501.7i −0.000542611 + 0.00237733i
\(134\) 5.17601e7 + 3.52895e7i 1.85835 + 1.26700i
\(135\) 2.43400e7 + 4.21582e7i 0.851438 + 1.47473i
\(136\) 7.15708e6 1.23964e7i 0.243977 0.422581i
\(137\) −1.30807e7 + 6.29933e6i −0.434619 + 0.209302i −0.638384 0.769718i \(-0.720397\pi\)
0.203764 + 0.979020i \(0.434682\pi\)
\(138\) 1.06261e7 + 3.27771e6i 0.344189 + 0.106168i
\(139\) 393239. + 5.24741e6i 0.0124195 + 0.165727i 0.999965 + 0.00839187i \(0.00267125\pi\)
−0.987545 + 0.157335i \(0.949710\pi\)
\(140\) 1.66756e6 + 7.30605e6i 0.0513609 + 0.225027i
\(141\) 4.37149e7 1.11384e8i 1.31330 3.34622i
\(142\) −60670.8 + 809595.i −0.00177816 + 0.0237279i
\(143\) −3.53121e7 + 5.32245e6i −1.00983 + 0.152207i
\(144\) 3.49173e7 + 3.23985e7i 0.974477 + 0.904182i
\(145\) −2.04357e7 9.84133e6i −0.556676 0.268081i
\(146\) 2.25343e7 1.53636e7i 0.599251 0.408562i
\(147\) 2.41525e7 + 6.15396e7i 0.627121 + 1.59788i
\(148\) −5.33979e7 + 1.64711e7i −1.35397 + 0.417644i
\(149\) 1.98725e7 1.84390e7i 0.492153 0.456651i −0.394628 0.918841i \(-0.629127\pi\)
0.886781 + 0.462190i \(0.152936\pi\)
\(150\) −4.04309e7 + 5.06987e7i −0.978124 + 1.22653i
\(151\) −2.53258e7 + 3.17575e7i −0.598609 + 0.750632i −0.985161 0.171636i \(-0.945095\pi\)
0.386551 + 0.922268i \(0.373666\pi\)
\(152\) −151200. + 140293.i −0.00349219 + 0.00324028i
\(153\) 9.70810e7 2.99455e7i 2.19136 0.675946i
\(154\) −7.31246e6 1.86318e7i −0.161340 0.411087i
\(155\) 4.12526e7 2.81256e7i 0.889796 0.606653i
\(156\) −9.64436e7 4.64448e7i −2.03394 0.979492i
\(157\) −2.56829e7 2.38302e7i −0.529657 0.491450i 0.369406 0.929268i \(-0.379561\pi\)
−0.899064 + 0.437818i \(0.855752\pi\)
\(158\) 7.69997e7 1.16058e7i 1.55306 0.234087i
\(159\) 8.76976e6 1.17024e8i 0.173021 2.30880i
\(160\) 1.70940e7 4.35548e7i 0.329932 0.840652i
\(161\) 392910. + 1.72145e6i 0.00741997 + 0.0325090i
\(162\) −1.43584e7 1.91600e8i −0.265340 3.54072i
\(163\) 6.56427e7 + 2.02481e7i 1.18722 + 0.366208i 0.824592 0.565728i \(-0.191405\pi\)
0.362624 + 0.931935i \(0.381881\pi\)
\(164\) 7.24155e7 3.48735e7i 1.28197 0.617364i
\(165\) −3.92289e7 + 6.79465e7i −0.679850 + 1.17753i
\(166\) 7.50773e7 + 1.30038e8i 1.27389 + 2.20643i
\(167\) −8.30606e7 5.66297e7i −1.38003 0.940886i −0.999873 0.0159622i \(-0.994919\pi\)
−0.380153 0.924924i \(-0.624129\pi\)
\(168\) 3.33537e6 1.46132e7i 0.0542702 0.237773i
\(169\) 9.56514e6 + 1.44171e6i 0.152436 + 0.0229761i
\(170\) −3.89147e7 4.87974e7i −0.607494 0.761773i
\(171\) −1.46393e6 −0.0223890
\(172\) −6.41723e7 6.16087e7i −0.961608 0.923193i
\(173\) −8.44193e7 −1.23960 −0.619798 0.784761i \(-0.712785\pi\)
−0.619798 + 0.784761i \(0.712785\pi\)
\(174\) 1.13221e8 + 1.41975e8i 1.62931 + 2.04309i
\(175\) −1.01817e7 1.53464e6i −0.143610 0.0216458i
\(176\) −9.93723e6 + 4.35378e7i −0.137395 + 0.601967i
\(177\) 1.73929e8 + 1.18583e8i 2.35758 + 1.60737i
\(178\) 6.90596e7 + 1.19615e8i 0.917813 + 1.58970i
\(179\) −1.29255e7 + 2.23876e7i −0.168446 + 0.291757i −0.937874 0.346977i \(-0.887208\pi\)
0.769428 + 0.638734i \(0.220542\pi\)
\(180\) −1.49397e8 + 7.19458e7i −1.90936 + 0.919500i
\(181\) 1.46480e7 + 4.51831e6i 0.183613 + 0.0566371i 0.385198 0.922834i \(-0.374133\pi\)
−0.201585 + 0.979471i \(0.564609\pi\)
\(182\) −2.22306e6 2.96647e7i −0.0273339 0.364746i
\(183\) −1.66815e7 7.30862e7i −0.201213 0.881570i
\(184\) −2.01112e6 + 5.12425e6i −0.0237999 + 0.0606412i
\(185\) −4.54904e6 + 6.07028e7i −0.0528225 + 0.704867i
\(186\) −3.95262e8 + 5.95762e7i −4.50391 + 0.678855i
\(187\) 6.98222e7 + 6.47856e7i 0.780815 + 0.724490i
\(188\) 2.13612e8 + 1.02870e8i 2.34462 + 1.12911i
\(189\) 5.11312e7 3.48607e7i 0.550896 0.375595i
\(190\) 328574. + 837192.i 0.00347532 + 0.00885498i
\(191\) 6.21185e7 1.91610e7i 0.645066 0.198976i 0.0450752 0.998984i \(-0.485647\pi\)
0.599990 + 0.800007i \(0.295171\pi\)
\(192\) −2.00986e8 + 1.86487e8i −2.04933 + 1.90150i
\(193\) 2.20851e7 2.76938e7i 0.221130 0.277288i −0.658875 0.752252i \(-0.728967\pi\)
0.880005 + 0.474964i \(0.157539\pi\)
\(194\) −3.36973e7 + 4.22551e7i −0.331352 + 0.415502i
\(195\) −8.54796e7 + 7.93135e7i −0.825546 + 0.765995i
\(196\) −1.25173e8 + 3.86109e7i −1.18745 + 0.366280i
\(197\) −5.67327e7 1.44553e8i −0.528691 1.34708i −0.906894 0.421360i \(-0.861553\pi\)
0.378203 0.925723i \(-0.376542\pi\)
\(198\) 3.65926e8 2.49484e8i 3.35015 2.28410i
\(199\) −1.30346e8 6.27712e7i −1.17249 0.564644i −0.256779 0.966470i \(-0.582661\pi\)
−0.915716 + 0.401826i \(0.868375\pi\)
\(200\) −2.35315e7 2.18340e7i −0.207991 0.192987i
\(201\) −3.08683e8 + 4.65265e7i −2.68118 + 0.404124i
\(202\) 1.75650e7 2.34388e8i 0.149940 2.00081i
\(203\) −1.05344e7 + 2.68411e7i −0.0883838 + 0.225198i
\(204\) 6.35319e7 + 2.78351e8i 0.523946 + 2.29556i
\(205\) −6.54306e6 8.73111e7i −0.0530448 0.707833i
\(206\) 9.29373e7 + 2.86673e7i 0.740721 + 0.228482i
\(207\) −3.52009e7 + 1.69519e7i −0.275840 + 0.132838i
\(208\) −3.31860e7 + 5.74799e7i −0.255702 + 0.442888i
\(209\) −686245. 1.18861e6i −0.00519957 0.00900592i
\(210\) −5.40004e7 3.68168e7i −0.402373 0.274333i
\(211\) 2.79921e6 1.22642e7i 0.0205139 0.0898771i −0.963635 0.267223i \(-0.913894\pi\)
0.984149 + 0.177346i \(0.0567511\pi\)
\(212\) 2.29931e8 + 3.46566e7i 1.65738 + 0.249810i
\(213\) −2.52240e6 3.16299e6i −0.0178849 0.0224269i
\(214\) −1.79051e8 −1.24890
\(215\) −8.80130e7 + 4.05542e7i −0.603966 + 0.278292i
\(216\) 1.92929e8 1.30260
\(217\) −3.95735e7 4.96237e7i −0.262903 0.329670i
\(218\) −2.87083e7 4.32707e6i −0.187676 0.0282876i
\(219\) −3.02420e7 + 1.32499e8i −0.194561 + 0.852427i
\(220\) −1.28448e8 8.75742e7i −0.813293 0.554494i
\(221\) 7.07815e7 + 1.22597e8i 0.441110 + 0.764025i
\(222\) 2.43675e8 4.22058e8i 1.49478 2.58903i
\(223\) 2.07393e8 9.98754e7i 1.25236 0.603103i 0.314214 0.949352i \(-0.398259\pi\)
0.938143 + 0.346249i \(0.112545\pi\)
\(224\) −5.68380e7 1.75322e7i −0.337886 0.104224i
\(225\) −1.70261e7 2.27197e8i −0.0996496 1.32973i
\(226\) −6.74467e7 2.95503e8i −0.388670 1.70288i
\(227\) 8.67292e7 2.20982e8i 0.492125 1.25391i −0.442016 0.897007i \(-0.645737\pi\)
0.934140 0.356906i \(-0.116168\pi\)
\(228\) 307445. 4.10256e6i 0.00171789 0.0229236i
\(229\) −9.26093e7 + 1.39586e7i −0.509601 + 0.0768100i −0.398810 0.917034i \(-0.630577\pi\)
−0.110791 + 0.993844i \(0.535339\pi\)
\(230\) 1.75951e7 + 1.63259e7i 0.0953553 + 0.0884768i
\(231\) 8.98620e7 + 4.32753e7i 0.479661 + 0.230992i
\(232\) −7.42735e7 + 5.06388e7i −0.390504 + 0.266241i
\(233\) −4.45959e6 1.13628e7i −0.0230967 0.0588493i 0.918860 0.394583i \(-0.129111\pi\)
−0.941957 + 0.335734i \(0.891016\pi\)
\(234\) 6.28988e8 1.94017e8i 3.20913 0.989884i
\(235\) 1.89328e8 1.75670e8i 0.951649 0.883001i
\(236\) −2.60064e8 + 3.26110e8i −1.28792 + 1.61500i
\(237\) −2.41934e8 + 3.03376e8i −1.18053 + 1.48034i
\(238\) −5.81632e7 + 5.39675e7i −0.279659 + 0.259486i
\(239\) 1.73296e8 5.34547e7i 0.821099 0.253276i 0.144385 0.989522i \(-0.453880\pi\)
0.676714 + 0.736246i \(0.263403\pi\)
\(240\) 5.32744e7 + 1.35741e8i 0.248759 + 0.633828i
\(241\) −7.62650e7 + 5.19966e7i −0.350966 + 0.239285i −0.725951 0.687746i \(-0.758600\pi\)
0.374985 + 0.927031i \(0.377648\pi\)
\(242\) 7.06926e7 + 3.40438e7i 0.320642 + 0.154413i
\(243\) 2.81978e8 + 2.61638e8i 1.26065 + 1.16971i
\(244\) 1.46882e8 2.21389e7i 0.647299 0.0975646i
\(245\) −1.06637e7 + 1.42297e8i −0.0463262 + 0.618180i
\(246\) −2.56095e8 + 6.52520e8i −1.09680 + 2.79461i
\(247\) −453912. 1.98872e6i −0.00191660 0.00839718i
\(248\) −1.47873e7 1.97323e8i −0.0615613 0.821479i
\(249\) −7.14996e8 2.20547e8i −2.93498 0.905323i
\(250\) −3.52197e8 + 1.69609e8i −1.42559 + 0.686530i
\(251\) 1.42831e8 2.47391e8i 0.570119 0.987475i −0.426434 0.904519i \(-0.640230\pi\)
0.996553 0.0829563i \(-0.0264362\pi\)
\(252\) 1.05398e8 + 1.82554e8i 0.414887 + 0.718605i
\(253\) −3.02648e7 2.06342e7i −0.117494 0.0801062i
\(254\) −4.79332e7 + 2.10009e8i −0.183535 + 0.804119i
\(255\) 3.07544e8 + 4.63548e7i 1.16149 + 0.175067i
\(256\) 8.44207e6 + 1.05860e7i 0.0314492 + 0.0394360i
\(257\) −7.27030e7 −0.267169 −0.133585 0.991037i \(-0.542649\pi\)
−0.133585 + 0.991037i \(0.542649\pi\)
\(258\) 7.75726e8 + 1.32051e7i 2.81216 + 0.0478709i
\(259\) 7.73845e7 0.276761
\(260\) −1.44059e8 1.80645e8i −0.508317 0.637409i
\(261\) −6.30891e8 9.50916e7i −2.19641 0.331055i
\(262\) −8.71051e7 + 3.81632e8i −0.299219 + 1.31096i
\(263\) 2.28259e8 + 1.55624e8i 0.773717 + 0.527512i 0.884616 0.466320i \(-0.154421\pi\)
−0.110899 + 0.993832i \(0.535373\pi\)
\(264\) 1.55473e8 + 2.69287e8i 0.520044 + 0.900743i
\(265\) 1.26652e8 2.19367e8i 0.418071 0.724120i
\(266\) 1.03009e6 496063.i 0.00335574 0.00161604i
\(267\) −6.57687e8 2.02869e8i −2.11461 0.652270i
\(268\) −4.62243e7 6.16821e8i −0.146689 1.95743i
\(269\) 6.74847e7 + 2.95670e8i 0.211384 + 0.926134i 0.963628 + 0.267249i \(0.0861146\pi\)
−0.752243 + 0.658885i \(0.771028\pi\)
\(270\) 3.07337e8 7.83082e8i 0.950259 2.42122i
\(271\) 1.18013e7 1.57477e8i 0.0360195 0.480647i −0.949802 0.312851i \(-0.898716\pi\)
0.985822 0.167796i \(-0.0536649\pi\)
\(272\) 1.75051e8 2.63847e7i 0.527440 0.0794989i
\(273\) 1.08666e8 + 1.00827e8i 0.323238 + 0.299921i
\(274\) 2.26046e8 + 1.08858e8i 0.663849 + 0.319693i
\(275\) 1.76487e8 1.20327e8i 0.511739 0.348898i
\(276\) −4.01137e7 1.02208e8i −0.114845 0.292620i
\(277\) −1.38185e6 + 426245.i −0.00390645 + 0.00120498i −0.296708 0.954968i \(-0.595889\pi\)
0.292801 + 0.956173i \(0.405413\pi\)
\(278\) 6.66594e7 6.18509e7i 0.186082 0.172659i
\(279\) 8.75643e8 1.09802e9i 2.41386 3.02689i
\(280\) 2.01721e7 2.52950e7i 0.0549158 0.0688623i
\(281\) −1.44291e8 + 1.33882e8i −0.387941 + 0.359957i −0.849899 0.526945i \(-0.823337\pi\)
0.461958 + 0.886902i \(0.347147\pi\)
\(282\) −1.97588e9 + 6.09478e8i −5.24673 + 1.61840i
\(283\) 2.36732e8 + 6.03183e8i 0.620875 + 1.58196i 0.801226 + 0.598362i \(0.204181\pi\)
−0.180351 + 0.983602i \(0.557723\pi\)
\(284\) 6.62331e6 4.51569e6i 0.0171578 0.0116980i
\(285\) −4.03780e6 1.94450e6i −0.0103321 0.00497567i
\(286\) 4.52378e8 + 4.19746e8i 1.14346 + 1.06098i
\(287\) −1.10062e8 + 1.65892e7i −0.274821 + 0.0414227i
\(288\) 9.83542e7 1.31245e9i 0.242616 3.23748i
\(289\) −1.19686e7 + 3.04956e7i −0.0291677 + 0.0743181i
\(290\) 8.72202e7 + 3.82136e8i 0.210002 + 0.920080i
\(291\) −2.01262e7 2.68566e8i −0.0478781 0.638889i
\(292\) −2.57328e8 7.93752e7i −0.604850 0.186571i
\(293\) −3.74010e8 + 1.80114e8i −0.868653 + 0.418321i −0.814467 0.580209i \(-0.802971\pi\)
−0.0541861 + 0.998531i \(0.517256\pi\)
\(294\) 5.71215e8 9.89373e8i 1.31094 2.27062i
\(295\) 2.27188e8 + 3.93501e8i 0.515238 + 0.892419i
\(296\) 1.99332e8 + 1.35902e8i 0.446742 + 0.304583i
\(297\) −2.85669e8 + 1.25160e9i −0.632725 + 2.77215i
\(298\) −4.63238e8 6.98219e7i −1.01402 0.152839i
\(299\) −3.39432e7 4.25635e7i −0.0734352 0.0920848i
\(300\) 6.40279e8 1.36913
\(301\) 5.97714e7 + 1.07721e8i 0.126331 + 0.227676i
\(302\) 7.01938e8 1.46647
\(303\) 7.30268e8 + 9.15727e8i 1.50811 + 1.89111i
\(304\) −2.52241e6 380192.i −0.00514941 0.000776149i
\(305\) 3.60066e7 1.57755e8i 0.0726662 0.318372i
\(306\) −1.45058e9 9.88988e8i −2.89412 1.97318i
\(307\) 1.64662e8 + 2.85203e8i 0.324794 + 0.562560i 0.981471 0.191612i \(-0.0613716\pi\)
−0.656676 + 0.754173i \(0.728038\pi\)
\(308\) −9.88145e7 + 1.71152e8i −0.192705 + 0.333775i
\(309\) −4.36654e8 + 2.10281e8i −0.841942 + 0.405458i
\(310\) −8.24471e8 2.54316e8i −1.57184 0.484849i
\(311\) −2.82669e7 3.77196e8i −0.0532865 0.711059i −0.958316 0.285710i \(-0.907770\pi\)
0.905030 0.425349i \(-0.139849\pi\)
\(312\) 1.02836e8 + 4.50555e8i 0.191692 + 0.839859i
\(313\) −2.53999e7 + 6.47178e7i −0.0468195 + 0.119294i −0.952371 0.304943i \(-0.901363\pi\)
0.905551 + 0.424237i \(0.139458\pi\)
\(314\) −4.52449e7 + 6.03752e8i −0.0824738 + 1.10054i
\(315\) 2.27064e8 3.42243e7i 0.409318 0.0616948i
\(316\) −5.63621e8 5.22964e8i −1.00481 0.932324i
\(317\) −3.86120e7 1.85946e7i −0.0680793 0.0327853i 0.399534 0.916718i \(-0.369172\pi\)
−0.467614 + 0.883933i \(0.654886\pi\)
\(318\) −1.67557e9 + 1.14239e9i −2.92192 + 1.99213i
\(319\) −2.18534e8 5.56816e8i −0.376923 0.960383i
\(320\) −5.65513e8 + 1.74438e8i −0.964756 + 0.297588i
\(321\) 6.54053e8 6.06873e8i 1.10369 1.02407i
\(322\) 1.90246e7 2.38562e7i 0.0317557 0.0398203i
\(323\) −3.39224e6 + 4.25374e6i −0.00560116 + 0.00702364i
\(324\) −1.39069e9 + 1.29037e9i −2.27155 + 2.10769i
\(325\) 3.03363e8 9.35750e7i 0.490197 0.151206i
\(326\) −4.33697e8 1.10504e9i −0.693306 1.76651i
\(327\) 1.19534e8 8.14969e7i 0.189049 0.128891i
\(328\) −3.12639e8 1.50559e8i −0.489198 0.235585i
\(329\) −2.40682e8 2.23320e8i −0.372613 0.345734i
\(330\) 1.34068e9 2.02075e8i 2.05364 0.309537i
\(331\) −4.06614e7 + 5.42588e8i −0.0616288 + 0.822380i 0.877667 + 0.479271i \(0.159099\pi\)
−0.939296 + 0.343109i \(0.888520\pi\)
\(332\) 5.41655e8 1.38011e9i 0.812342 2.06981i
\(333\) 3.81020e8 + 1.66936e9i 0.565448 + 2.47739i
\(334\) 1.29823e8 + 1.73236e9i 0.190650 + 2.54405i
\(335\) −6.43877e8 1.98610e8i −0.935720 0.288632i
\(336\) 1.67017e8 8.04309e7i 0.240200 0.115674i
\(337\) 2.23162e8 3.86529e8i 0.317626 0.550145i −0.662366 0.749180i \(-0.730448\pi\)
0.979992 + 0.199036i \(0.0637809\pi\)
\(338\) −8.35805e7 1.44766e8i −0.117733 0.203919i
\(339\) 1.24795e9 + 8.50837e8i 1.73979 + 1.18617i
\(340\) −1.37132e8 + 6.00816e8i −0.189219 + 0.829021i
\(341\) 1.30199e9 + 1.96244e8i 1.77815 + 0.268013i
\(342\) 1.57730e7 + 1.97788e7i 0.0213218 + 0.0267367i
\(343\) 3.75996e8 0.503100
\(344\) −3.52155e7 + 3.82444e8i −0.0466422 + 0.506540i
\(345\) −1.19608e8 −0.156817
\(346\) 9.09570e8 + 1.14057e9i 1.18051 + 1.48031i
\(347\) 1.51109e9 + 2.27761e8i 1.94150 + 0.292634i 0.999122 0.0419073i \(-0.0133434\pi\)
0.942381 + 0.334542i \(0.108582\pi\)
\(348\) 3.98983e8 1.74806e9i 0.507489 2.22345i
\(349\) 1.12227e8 + 7.65150e7i 0.141321 + 0.0963513i 0.631917 0.775036i \(-0.282268\pi\)
−0.490596 + 0.871387i \(0.663221\pi\)
\(350\) 8.89676e7 + 1.54096e8i 0.110916 + 0.192112i
\(351\) −9.54010e8 + 1.65239e9i −1.17755 + 2.03957i
\(352\) 1.11172e9 5.35377e8i 1.35862 0.654275i
\(353\) −8.04350e8 2.48109e8i −0.973271 0.300214i −0.232966 0.972485i \(-0.574843\pi\)
−0.740306 + 0.672271i \(0.765319\pi\)
\(354\) −2.71849e8 3.62757e9i −0.325699 4.34615i
\(355\) −1.94314e6 8.51345e6i −0.00230518 0.0100997i
\(356\) 4.98239e8 1.26949e9i 0.585279 1.49127i
\(357\) 2.95468e7 3.94274e8i 0.0343693 0.458627i
\(358\) 4.41737e8 6.65812e7i 0.508831 0.0766939i
\(359\) −9.30930e8 8.63776e8i −1.06191 0.985305i −0.0619879 0.998077i \(-0.519744\pi\)
−0.999918 + 0.0127718i \(0.995935\pi\)
\(360\) 6.44991e8 + 3.10611e8i 0.728609 + 0.350880i
\(361\) −7.38487e8 + 5.03492e8i −0.826166 + 0.563271i
\(362\) −9.67783e7 2.46587e8i −0.107226 0.273206i
\(363\) −3.73619e8 + 1.15246e8i −0.409974 + 0.126460i
\(364\) −2.15316e8 + 1.99784e8i −0.234003 + 0.217123i
\(365\) −1.82901e8 + 2.29351e8i −0.196876 + 0.246874i
\(366\) −8.07714e8 + 1.01284e9i −0.861140 + 1.07984i
\(367\) −4.06319e8 + 3.77009e8i −0.429077 + 0.398125i −0.864930 0.501893i \(-0.832637\pi\)
0.435853 + 0.900018i \(0.356447\pi\)
\(368\) −6.50549e7 + 2.00668e7i −0.0680476 + 0.0209899i
\(369\) −8.99779e8 2.29260e9i −0.932274 2.37540i
\(370\) 8.69151e8 5.92577e8i 0.892050 0.608190i
\(371\) −2.90121e8 1.39715e8i −0.294965 0.142048i
\(372\) 2.89323e9 + 2.68453e9i 2.91396 + 2.70376i
\(373\) 1.77006e9 2.66794e8i 1.76607 0.266192i 0.815961 0.578107i \(-0.196208\pi\)
0.950110 + 0.311915i \(0.100970\pi\)
\(374\) 1.23004e8 1.64138e9i 0.121582 1.62240i
\(375\) 7.11665e8 1.81329e9i 0.696893 1.77565i
\(376\) −2.27771e8 9.97928e8i −0.220974 0.968148i
\(377\) −6.64367e7 8.86536e8i −0.0638577 0.852121i
\(378\) −1.02190e9 3.15215e8i −0.973170 0.300183i
\(379\) −1.64716e9 + 7.93232e8i −1.55417 + 0.748450i −0.996656 0.0817158i \(-0.973960\pi\)
−0.557517 + 0.830166i \(0.688246\pi\)
\(380\) 4.44007e6 7.69042e6i 0.00415095 0.00718965i
\(381\) −5.36707e8 9.29603e8i −0.497164 0.861113i
\(382\) −9.28171e8 6.32816e8i −0.851934 0.580839i
\(383\) 2.41583e8 1.05844e9i 0.219721 0.962659i −0.737964 0.674840i \(-0.764213\pi\)
0.957685 0.287819i \(-0.0929301\pi\)
\(384\) 1.94144e9 + 2.92624e8i 1.74970 + 0.263725i
\(385\) 1.34228e8 + 1.68317e8i 0.119876 + 0.150319i
\(386\) −6.12117e8 −0.541725
\(387\) −2.02948e9 + 1.81979e9i −1.77990 + 1.59600i
\(388\) 5.33643e8 0.463810
\(389\) 3.44982e7 + 4.32594e7i 0.0297148 + 0.0372612i 0.796467 0.604682i \(-0.206700\pi\)
−0.766752 + 0.641943i \(0.778128\pi\)
\(390\) 1.99258e9 + 3.00333e8i 1.70094 + 0.256375i
\(391\) −3.23111e7 + 1.41564e8i −0.0273359 + 0.119766i
\(392\) 4.67267e8 + 3.18577e8i 0.391800 + 0.267124i
\(393\) −9.75312e8 1.68929e9i −0.810531 1.40388i
\(394\) −1.34175e9 + 2.32397e9i −1.10518 + 1.91423i
\(395\) −7.54616e8 + 3.63404e8i −0.616079 + 0.296688i
\(396\) −4.17866e9 1.28894e9i −3.38145 1.04304i
\(397\) −3.23549e7 4.31746e8i −0.0259522 0.346308i −0.995032 0.0995589i \(-0.968257\pi\)
0.969080 0.246749i \(-0.0793622\pi\)
\(398\) 5.56318e8 + 2.43739e9i 0.442316 + 1.93791i
\(399\) −2.08144e6 + 5.30342e6i −0.00164043 + 0.00417975i
\(400\) 2.96679e7 3.95890e8i 0.0231780 0.309289i
\(401\) −3.58770e8 + 5.40759e7i −0.277851 + 0.0418792i −0.286489 0.958083i \(-0.592488\pi\)
0.00863871 + 0.999963i \(0.497250\pi\)
\(402\) 3.95450e9 + 3.66924e9i 3.03599 + 2.81698i
\(403\) 1.76314e9 + 8.49085e8i 1.34190 + 0.646224i
\(404\) −1.91753e9 + 1.30735e9i −1.44680 + 0.986411i
\(405\) 7.55020e8 + 1.92376e9i 0.564762 + 1.43899i
\(406\) 4.76145e8 1.46871e8i 0.353100 0.108917i
\(407\) −1.17679e9 + 1.09190e9i −0.865206 + 0.802794i
\(408\) 7.68532e8 9.63708e8i 0.560210 0.702482i
\(409\) 6.78190e8 8.50423e8i 0.490140 0.614616i −0.473834 0.880614i \(-0.657130\pi\)
0.963973 + 0.265999i \(0.0857017\pi\)
\(410\) −1.10914e9 + 1.02913e9i −0.794771 + 0.737440i
\(411\) −1.19468e9 + 3.68510e8i −0.848799 + 0.261820i
\(412\) −3.50841e8 8.93927e8i −0.247155 0.629741i
\(413\) 4.77255e8 3.25387e8i 0.333369 0.227287i
\(414\) 6.08302e8 + 2.92943e8i 0.421326 + 0.202900i
\(415\) −1.18392e9 1.09852e9i −0.813119 0.754465i
\(416\) 1.81342e9 2.73329e8i 1.23502 0.186149i
\(417\) −3.38628e7 + 4.51868e8i −0.0228690 + 0.305166i
\(418\) −8.66509e6 + 2.20783e7i −0.00580305 + 0.0147859i
\(419\) −5.44734e7 2.38663e8i −0.0361772 0.158503i 0.953613 0.301036i \(-0.0973324\pi\)
−0.989790 + 0.142533i \(0.954475\pi\)
\(420\) 4.82250e7 + 6.43517e8i 0.0317614 + 0.423826i
\(421\) 8.68283e8 + 2.67830e8i 0.567119 + 0.174933i 0.565038 0.825065i \(-0.308861\pi\)
0.00208086 + 0.999998i \(0.499338\pi\)
\(422\) −1.95858e8 + 9.43201e7i −0.126866 + 0.0610957i
\(423\) 3.63246e9 6.29161e9i 2.33351 4.04176i
\(424\) −5.01947e8 8.69398e8i −0.319799 0.553908i
\(425\) −6.99618e8 4.76992e8i −0.442079 0.301404i
\(426\) −1.55568e7 + 6.81590e7i −0.00974962 + 0.0427159i
\(427\) −2.03406e8 3.06585e7i −0.126434 0.0190569i
\(428\) 1.10228e9 + 1.38222e9i 0.679577 + 0.852163i
\(429\) −3.07516e9 −1.88048
\(430\) 1.49621e9 + 7.52171e8i 0.907511 + 0.456223i
\(431\) −1.66972e9 −1.00456 −0.502278 0.864706i \(-0.667505\pi\)
−0.502278 + 0.864706i \(0.667505\pi\)
\(432\) 1.48766e9 + 1.86547e9i 0.887793 + 1.11326i
\(433\) −3.26229e9 4.91710e8i −1.93114 0.291073i −0.933435 0.358747i \(-0.883204\pi\)
−0.997708 + 0.0676737i \(0.978442\pi\)
\(434\) −2.44069e8 + 1.06933e9i −0.143317 + 0.627913i
\(435\) −1.61381e9 1.10028e9i −0.940027 0.640900i
\(436\) 1.43331e8 + 2.48257e8i 0.0828204 + 0.143449i
\(437\) 1.04617e6 1.81202e6i 0.000599676 0.00103867i
\(438\) 2.11599e9 1.01901e9i 1.20325 0.579454i
\(439\) 1.94919e9 + 6.01244e8i 1.09958 + 0.339176i 0.790873 0.611981i \(-0.209627\pi\)
0.308709 + 0.951157i \(0.400103\pi\)
\(440\) 5.01566e7 + 6.69293e8i 0.0280701 + 0.374569i
\(441\) 8.93172e8 + 3.91324e9i 0.495907 + 2.17271i
\(442\) 8.93745e8 2.27723e9i 0.492307 1.25438i
\(443\) −1.64669e8 + 2.19735e9i −0.0899907 + 1.20084i 0.751189 + 0.660087i \(0.229481\pi\)
−0.841180 + 0.540755i \(0.818138\pi\)
\(444\) −4.75827e9 + 7.17194e8i −2.57993 + 0.388862i
\(445\) −1.08903e9 1.01047e9i −0.585839 0.543579i
\(446\) −3.58394e9 1.72593e9i −1.91288 0.921196i
\(447\) 1.92881e9 1.31504e9i 1.02144 0.696406i
\(448\) 2.74857e8 + 7.00324e8i 0.144422 + 0.367982i
\(449\) 8.95062e8 2.76090e8i 0.466650 0.143942i −0.0525086 0.998620i \(-0.516722\pi\)
0.519158 + 0.854678i \(0.326245\pi\)
\(450\) −2.88615e9 + 2.67796e9i −1.49305 + 1.38535i
\(451\) 1.43965e9 1.80526e9i 0.738988 0.926662i
\(452\) −1.86597e9 + 2.33985e9i −0.950430 + 1.19180i
\(453\) −2.56410e9 + 2.37914e9i −1.29596 + 1.20247i
\(454\) −3.92009e9 + 1.20919e9i −1.96608 + 0.606455i
\(455\) 1.16897e8 + 2.97849e8i 0.0581787 + 0.148237i
\(456\) −1.46753e7 + 1.00055e7i −0.00724789 + 0.00494153i
\(457\) 2.57466e9 + 1.23989e9i 1.26187 + 0.607682i 0.940667 0.339330i \(-0.110200\pi\)
0.321198 + 0.947012i \(0.395915\pi\)
\(458\) 1.18640e9 + 1.10082e9i 0.577037 + 0.535412i
\(459\) 5.03225e9 7.58489e8i 2.42894 0.366104i
\(460\) 1.77108e7 2.36334e8i 0.00848372 0.113207i
\(461\) −1.30098e9 + 3.31484e9i −0.618468 + 1.57583i 0.186462 + 0.982462i \(0.440298\pi\)
−0.804930 + 0.593369i \(0.797797\pi\)
\(462\) −3.83533e8 1.68037e9i −0.180949 0.792788i
\(463\) −1.18225e8 1.57760e9i −0.0553574 0.738693i −0.953961 0.299931i \(-0.903036\pi\)
0.898603 0.438762i \(-0.144583\pi\)
\(464\) −1.06235e9 3.27692e8i −0.493691 0.152284i
\(465\) 3.87367e9 1.86546e9i 1.78664 0.860400i
\(466\) −1.05471e8 + 1.82681e8i −0.0482815 + 0.0836261i
\(467\) 1.97284e9 + 3.41705e9i 0.896359 + 1.55254i 0.832114 + 0.554605i \(0.187131\pi\)
0.0642448 + 0.997934i \(0.479536\pi\)
\(468\) −5.36994e9 3.66116e9i −2.42164 1.65104i
\(469\) −1.90607e8 + 8.35105e8i −0.0853168 + 0.373797i
\(470\) −4.41333e9 6.65203e8i −1.96076 0.295537i
\(471\) −1.88107e9 2.35879e9i −0.829529 1.04020i
\(472\) 1.80079e9 0.788253
\(473\) −2.42890e9 7.94736e8i −1.05535 0.345310i
\(474\) 6.70554e9 2.89207
\(475\) 7.60739e6 + 9.53936e6i 0.00325693 + 0.00408406i
\(476\) 7.74677e8 + 1.16764e8i 0.329228 + 0.0496231i
\(477\) 1.58549e9 6.94648e9i 0.668881 2.93056i
\(478\) −2.58938e9 1.76541e9i −1.08442 0.739346i
\(479\) −7.85970e8 1.36134e9i −0.326762 0.565969i 0.655105 0.755538i \(-0.272624\pi\)
−0.981867 + 0.189569i \(0.939291\pi\)
\(480\) 2.01457e9 3.48933e9i 0.831453 1.44012i
\(481\) −2.14964e9 + 1.03521e9i −0.880761 + 0.424152i
\(482\) 1.52422e9 + 4.70161e8i 0.619989 + 0.191241i
\(483\) 1.13628e7 + 1.51626e8i 0.00458848 + 0.0612290i
\(484\) −1.72393e8 7.55305e8i −0.0691133 0.302805i
\(485\) 2.12380e8 5.41135e8i 0.0845313 0.215382i
\(486\) 4.96755e8 6.62873e9i 0.196298 2.61941i
\(487\) 2.33890e9 3.52533e8i 0.917615 0.138308i 0.326780 0.945100i \(-0.394036\pi\)
0.590835 + 0.806792i \(0.298798\pi\)
\(488\) −4.70103e8 4.36192e8i −0.183115 0.169906i
\(489\) 5.32965e9 + 2.56663e9i 2.06119 + 0.992617i
\(490\) 2.03743e9 1.38910e9i 0.782342 0.533392i
\(491\) 8.01550e8 + 2.04232e9i 0.305594 + 0.778642i 0.998347 + 0.0574669i \(0.0183024\pi\)
−0.692753 + 0.721175i \(0.743602\pi\)
\(492\) 6.61381e9 2.04009e9i 2.50365 0.772275i
\(493\) −1.73822e9 + 1.61283e9i −0.653341 + 0.606212i
\(494\) −2.19784e7 + 2.75600e7i −0.00820259 + 0.0102857i
\(495\) −2.97007e9 + 3.72435e9i −1.10065 + 1.38017i
\(496\) 1.79393e9 1.66452e9i 0.660114 0.612496i
\(497\) −1.06078e7 + 3.27208e6i −0.00387596 + 0.00119558i
\(498\) 4.72393e9 + 1.20364e10i 1.71396 + 4.36710i
\(499\) −5.22601e8 + 3.56303e8i −0.188286 + 0.128371i −0.653794 0.756672i \(-0.726824\pi\)
0.465508 + 0.885043i \(0.345872\pi\)
\(500\) 3.47753e9 + 1.67469e9i 1.24416 + 0.599156i
\(501\) −6.34586e9 5.88810e9i −2.25454 2.09191i
\(502\) −4.88136e9 + 7.35747e8i −1.72218 + 0.259576i
\(503\) −2.38737e8 + 3.18573e9i −0.0836435 + 1.11615i 0.784599 + 0.620004i \(0.212869\pi\)
−0.868242 + 0.496141i \(0.834750\pi\)
\(504\) 3.32485e8 8.47157e8i 0.115682 0.294752i
\(505\) 5.62564e8 + 2.46476e9i 0.194380 + 0.851636i
\(506\) 4.73036e7 + 6.31222e8i 0.0162318 + 0.216598i
\(507\) 7.95976e8 + 2.45526e8i 0.271251 + 0.0836700i
\(508\) 1.91629e9 9.22836e8i 0.648542 0.312321i
\(509\) −3.53723e8 + 6.12665e8i −0.118891 + 0.205926i −0.919329 0.393491i \(-0.871267\pi\)
0.800437 + 0.599417i \(0.204601\pi\)
\(510\) −2.68733e9 4.65458e9i −0.897067 1.55377i
\(511\) 3.08122e8 + 2.10074e8i 0.102153 + 0.0696465i
\(512\) 7.01471e8 3.07334e9i 0.230975 1.01197i
\(513\) −7.25124e7 1.09295e7i −0.0237138 0.00357428i
\(514\) 7.83335e8 + 9.82271e8i 0.254435 + 0.319051i
\(515\) −1.04611e9 −0.337482
\(516\) −4.67361e9 6.06964e9i −1.49754 1.94486i
\(517\) 6.81114e9 2.16772
\(518\) −8.33775e8 1.04552e9i −0.263569 0.330505i
\(519\) −7.18836e9 1.08347e9i −2.25707 0.340198i
\(520\) −2.21970e8 + 9.72514e8i −0.0692281 + 0.303308i
\(521\) −2.55734e8 1.74357e8i −0.0792240 0.0540140i 0.523060 0.852296i \(-0.324790\pi\)
−0.602284 + 0.798282i \(0.705743\pi\)
\(522\) 5.51274e9 + 9.54835e9i 1.69637 + 2.93820i
\(523\) 3.04896e9 5.28095e9i 0.931956 1.61419i 0.151981 0.988383i \(-0.451435\pi\)
0.779974 0.625811i \(-0.215232\pi\)
\(524\) 3.48231e9 1.67699e9i 1.05732 0.509180i
\(525\) −8.47280e8 2.61351e8i −0.255546 0.0788255i
\(526\) −3.56765e8 4.76070e9i −0.106889 1.42633i
\(527\) −1.16146e9 5.08871e9i −0.345676 1.51450i
\(528\) −1.40494e9 + 3.57974e9i −0.415375 + 1.05836i
\(529\) −2.50270e8 + 3.33962e9i −0.0735045 + 0.980849i
\(530\) −4.32840e9 + 6.52402e8i −1.26288 + 0.190349i
\(531\) 9.36918e9 + 8.69333e9i 2.71563 + 2.51974i
\(532\) −1.01709e7 4.89804e6i −0.00292866 0.00141037i
\(533\) 2.83546e9 1.93318e9i 0.811106 0.553003i
\(534\) 4.34529e9 + 1.10716e10i 1.23488 + 3.14642i
\(535\) 1.84031e9 5.67660e8i 0.519580 0.160269i
\(536\) −1.95759e9 + 1.81638e9i −0.549091 + 0.509482i
\(537\) −1.38795e9 + 1.74043e9i −0.386779 + 0.485005i
\(538\) 3.26760e9 4.09744e9i 0.904672 1.13442i
\(539\) −2.75859e9 + 2.55960e9i −0.758799 + 0.704063i
\(540\) −7.93717e9 + 2.44829e9i −2.16914 + 0.669091i
\(541\) −1.69348e9 4.31491e9i −0.459822 1.17161i −0.953347 0.301875i \(-0.902387\pi\)
0.493526 0.869731i \(-0.335708\pi\)
\(542\) −2.25479e9 + 1.53729e9i −0.608286 + 0.414723i
\(543\) 1.18930e9 + 5.72736e8i 0.318780 + 0.153516i
\(544\) −3.58566e9 3.32701e9i −0.954933 0.886048i
\(545\) 3.08785e8 4.65419e7i 0.0817087 0.0123156i
\(546\) 1.91434e8 2.55450e9i 0.0503320 0.671633i
\(547\) 1.48999e8 3.79645e8i 0.0389250 0.0991794i −0.910089 0.414412i \(-0.863987\pi\)
0.949014 + 0.315233i \(0.102083\pi\)
\(548\) −5.51243e8 2.41515e9i −0.143090 0.626920i
\(549\) −3.40141e8 4.53886e9i −0.0877315 1.17070i
\(550\) −3.52725e9 1.08801e9i −0.903997 0.278846i
\(551\) 3.07843e7 1.48250e7i 0.00783969 0.00377540i
\(552\) −2.37015e8 + 4.10522e8i −0.0599776 + 0.103884i
\(553\) 5.32373e8 + 9.22097e8i 0.133868 + 0.231867i
\(554\) 2.06476e7 + 1.40773e7i 0.00515923 + 0.00351750i
\(555\) −1.16644e9 + 5.11050e9i −0.289625 + 1.26893i
\(556\) −8.87839e8 1.33820e8i −0.219065 0.0330187i
\(557\) −2.06537e9 2.58990e9i −0.506414 0.635023i 0.461249 0.887271i \(-0.347401\pi\)
−0.967663 + 0.252248i \(0.918830\pi\)
\(558\) −2.42696e10 −5.91349
\(559\) −3.10141e9 2.19275e9i −0.750961 0.530942i
\(560\) 4.00127e8 0.0962809
\(561\) 5.11393e9 + 6.41267e9i 1.22288 + 1.53345i
\(562\) 3.36349e9 + 5.06965e8i 0.799307 + 0.120476i
\(563\) −9.43189e7 + 4.13238e8i −0.0222751 + 0.0975935i −0.984844 0.173445i \(-0.944510\pi\)
0.962568 + 0.271039i \(0.0873672\pi\)
\(564\) 1.68689e10 + 1.15010e10i 3.95923 + 2.69936i
\(565\) 1.63008e9 + 2.82338e9i 0.380224 + 0.658568i
\(566\) 5.59879e9 9.69738e9i 1.29789 2.24800i
\(567\) 2.36701e9 1.13989e9i 0.545329 0.262617i
\(568\) −3.30708e7 1.02010e7i −0.00757226 0.00233573i
\(569\) 9.83131e6 + 1.31190e8i 0.00223727 + 0.0298543i 0.998211 0.0597946i \(-0.0190446\pi\)
−0.995973 + 0.0896489i \(0.971426\pi\)
\(570\) 1.72334e7 + 7.55046e7i 0.00389771 + 0.0170770i
\(571\) −2.55409e9 + 6.50771e9i −0.574129 + 1.46286i 0.288729 + 0.957411i \(0.406767\pi\)
−0.862858 + 0.505446i \(0.831328\pi\)
\(572\) 4.55353e8 6.07626e9i 0.101733 1.35753i
\(573\) 5.53535e9 8.34320e8i 1.22915 0.185264i
\(574\) 1.40999e9 + 1.30828e9i 0.311189 + 0.288741i
\(575\) 2.93386e8 + 1.41287e8i 0.0643579 + 0.0309931i
\(576\) −1.37542e10 + 9.37747e9i −2.99887 + 2.04459i
\(577\) −7.31285e8 1.86328e9i −0.158479 0.403797i 0.829476 0.558543i \(-0.188639\pi\)
−0.987954 + 0.154746i \(0.950544\pi\)
\(578\) 5.40972e8 1.66868e8i 0.116527 0.0359439i
\(579\) 2.23599e9 2.07470e9i 0.478735 0.444202i
\(580\) 2.41302e9 3.02583e9i 0.513526 0.643942i
\(581\) −1.28011e9 + 1.60521e9i −0.270789 + 0.339558i
\(582\) −3.41167e9 + 3.16557e9i −0.717359 + 0.665612i
\(583\) 6.38329e9 1.96899e9i 1.33415 0.411531i
\(584\) 4.24750e8 + 1.08225e9i 0.0882447 + 0.224844i
\(585\) −5.84970e9 + 3.98826e9i −1.20806 + 0.823640i
\(586\) 6.46322e9 + 3.11252e9i 1.32680 + 0.638955i
\(587\) −4.77512e9 4.43067e9i −0.974431 0.904140i 0.0209850 0.999780i \(-0.493320\pi\)
−0.995416 + 0.0956400i \(0.969510\pi\)
\(588\) −1.11542e10 + 1.68122e9i −2.26264 + 0.341039i
\(589\) −5.62058e6 + 7.50014e7i −0.00113338 + 0.0151240i
\(590\) 2.86866e9 7.30922e9i 0.575038 1.46517i
\(591\) −2.97559e9 1.30369e10i −0.592948 2.59787i
\(592\) 2.22969e8 + 2.97531e9i 0.0441691 + 0.589395i
\(593\) −3.09016e9 9.53189e8i −0.608541 0.187710i −0.0248572 0.999691i \(-0.507913\pi\)
−0.583684 + 0.811981i \(0.698389\pi\)
\(594\) 1.99879e10 9.62566e9i 3.91304 1.88442i
\(595\) 4.26710e8 7.39083e8i 0.0830469 0.143841i
\(596\) 2.31280e9 + 4.00588e9i 0.447482 + 0.775062i
\(597\) −1.02934e10 7.01792e9i −1.97993 1.34989i
\(598\) −2.09344e8 + 9.17195e8i −0.0400319 + 0.175391i
\(599\) 5.73988e9 + 8.65148e8i 1.09121 + 0.164474i 0.669907 0.742445i \(-0.266334\pi\)
0.421305 + 0.906919i \(0.361572\pi\)
\(600\) −1.72350e9 2.16119e9i −0.325747 0.408474i
\(601\) −6.80722e9 −1.27911 −0.639557 0.768744i \(-0.720882\pi\)
−0.639557 + 0.768744i \(0.720882\pi\)
\(602\) 8.11381e8 1.96819e9i 0.151578 0.367687i
\(603\) −1.89536e10 −3.52031
\(604\) −4.32129e9 5.41873e9i −0.797966 1.00062i
\(605\) −8.34518e8 1.25783e8i −0.153212 0.0230929i
\(606\) 4.50391e9 1.97329e10i 0.822120 3.60194i
\(607\) 3.68065e9 + 2.50942e9i 0.667981 + 0.455422i 0.849235 0.528015i \(-0.177063\pi\)
−0.181254 + 0.983436i \(0.558016\pi\)
\(608\) 3.52415e7 + 6.10401e7i 0.00635905 + 0.0110142i
\(609\) −1.24150e9 + 2.15034e9i −0.222734 + 0.385786i
\(610\) −2.51934e9 + 1.21325e9i −0.449399 + 0.216419i
\(611\) 9.67330e9 + 2.98382e9i 1.71566 + 0.529210i
\(612\) 1.29544e9 + 1.72864e10i 0.228448 + 3.04842i
\(613\) −1.59225e8 6.97612e8i −0.0279190 0.122321i 0.959048 0.283243i \(-0.0914104\pi\)
−0.986967 + 0.160922i \(0.948553\pi\)
\(614\) 2.07915e9 5.29760e9i 0.362491 0.923612i
\(615\) 5.63440e8 7.51858e9i 0.0976753 1.30339i
\(616\) 8.43692e8 1.27166e8i 0.145429 0.0219199i
\(617\) 3.81387e9 + 3.53876e9i 0.653685 + 0.606531i 0.935665 0.352889i \(-0.114801\pi\)
−0.281980 + 0.959420i \(0.590991\pi\)
\(618\) 7.54575e9 + 3.63384e9i 1.28601 + 0.619308i
\(619\) −5.86561e9 + 3.99911e9i −0.994022 + 0.677713i −0.947018 0.321182i \(-0.895920\pi\)
−0.0470046 + 0.998895i \(0.514968\pi\)
\(620\) 3.11240e9 + 7.93026e9i 0.524474 + 1.33634i
\(621\) −1.87016e9 + 5.76866e8i −0.313370 + 0.0966618i
\(622\) −4.79163e9 + 4.44598e9i −0.798393 + 0.740801i
\(623\) −1.17750e9 + 1.47654e9i −0.195099 + 0.244646i
\(624\) −3.56354e9 + 4.46853e9i −0.587131 + 0.736239i
\(625\) 5.86584e8 5.44271e8i 0.0961060 0.0891733i
\(626\) 1.14805e9 3.54128e8i 0.187048 0.0576965i
\(627\) −4.31792e7 1.10019e8i −0.00699581 0.0178250i
\(628\) 4.93930e9 3.36756e9i 0.795805 0.542571i
\(629\) 5.73354e9 + 2.76113e9i 0.918641 + 0.442394i
\(630\) −2.90888e9 2.69905e9i −0.463483 0.430050i
\(631\) 6.35690e9 9.58149e8i 1.00726 0.151820i 0.375369 0.926875i \(-0.377516\pi\)
0.631894 + 0.775055i \(0.282278\pi\)
\(632\) −2.48061e8 + 3.31015e9i −0.0390885 + 0.521600i
\(633\) 3.95758e8 1.00838e9i 0.0620179 0.158019i
\(634\) 1.64797e8 + 7.22022e8i 0.0256825 + 0.112522i
\(635\) −1.73145e8 2.31046e9i −0.0268351 0.358089i
\(636\) 1.91340e10 + 5.90207e9i 2.94922 + 0.909713i
\(637\) −5.03911e9 + 2.42671e9i −0.772441 + 0.371988i
\(638\) −5.16841e9 + 8.95194e9i −0.787924 + 1.36472i
\(639\) −1.22816e8 2.12724e8i −0.0186210 0.0322525i
\(640\) 3.50151e9 + 2.38729e9i 0.527989 + 0.359977i
\(641\) −2.06314e9 + 9.03919e9i −0.309403 + 1.35558i 0.546071 + 0.837739i \(0.316123\pi\)
−0.855474 + 0.517846i \(0.826734\pi\)
\(642\) −1.52463e10 2.29802e9i −2.27401 0.342752i
\(643\) 4.99009e9 + 6.25738e9i 0.740236 + 0.928226i 0.999292 0.0376360i \(-0.0119828\pi\)
−0.259056 + 0.965862i \(0.583411\pi\)
\(644\) −3.01282e8 −0.0444500
\(645\) −8.01486e9 + 2.32362e9i −1.17608 + 0.340962i
\(646\) 9.40206e7 0.0137217
\(647\) 5.17507e9 + 6.48934e9i 0.751193 + 0.941966i 0.999644 0.0266784i \(-0.00849300\pi\)
−0.248451 + 0.968644i \(0.579922\pi\)
\(648\) 8.09896e9 + 1.22072e9i 1.16928 + 0.176240i
\(649\) −2.66641e9 + 1.16823e10i −0.382887 + 1.67754i
\(650\) −4.53283e9 3.09043e9i −0.647400 0.441390i
\(651\) −2.73283e9 4.73340e9i −0.388221 0.672418i
\(652\) −5.86062e9 + 1.01509e10i −0.828089 + 1.43429i
\(653\) 1.30356e9 6.27764e8i 0.183205 0.0882267i −0.340033 0.940413i \(-0.610438\pi\)
0.523238 + 0.852187i \(0.324724\pi\)
\(654\) −2.38899e9 7.36907e8i −0.333959 0.103013i
\(655\) −3.14642e8 4.19861e9i −0.0437495 0.583796i
\(656\) −9.54950e8 4.18391e9i −0.132074 0.578654i
\(657\) −3.01466e9 + 7.68122e9i −0.414724 + 1.05670i
\(658\) −4.24004e8 + 5.65794e9i −0.0580202 + 0.774226i
\(659\) −4.04630e9 + 6.09882e8i −0.550756 + 0.0830132i −0.418524 0.908206i \(-0.637453\pi\)
−0.132232 + 0.991219i \(0.542214\pi\)
\(660\) −9.81346e9 9.10556e9i −1.32867 1.23283i
\(661\) −1.13397e10 5.46093e9i −1.52721 0.735465i −0.533326 0.845910i \(-0.679058\pi\)
−0.993882 + 0.110445i \(0.964772\pi\)
\(662\) 7.76886e9 5.29672e9i 1.04077 0.709584i
\(663\) 4.45364e9 + 1.13477e10i 0.593496 + 1.51220i
\(664\) −6.11645e9 + 1.88667e9i −0.810795 + 0.250097i
\(665\) −9.01463e6 + 8.36435e6i −0.00118870 + 0.00110295i
\(666\) 1.84489e10 2.31342e10i 2.41998 3.03456i
\(667\) 5.68555e8 7.12946e8i 0.0741878 0.0930285i
\(668\) 1.25740e10 1.16670e10i 1.63214 1.51440i
\(669\) 1.89415e10 5.84269e9i 2.44582 0.754435i
\(670\) 4.25405e9 + 1.08392e10i 0.546438 + 1.39230i
\(671\) 3.52580e9 2.40385e9i 0.450535 0.307170i
\(672\) −4.61478e9 2.22236e9i −0.586623 0.282503i
\(673\) 3.02397e9 + 2.80584e9i 0.382407 + 0.354821i 0.847831 0.530266i \(-0.177908\pi\)
−0.465425 + 0.885087i \(0.654098\pi\)
\(674\) −7.62673e9 + 1.14954e9i −0.959464 + 0.144616i
\(675\) 8.52872e8 1.13808e10i 0.106738 1.42433i
\(676\) −6.03002e8 + 1.53642e9i −0.0750767 + 0.191292i
\(677\) 2.15971e9 + 9.46231e9i 0.267507 + 1.17202i 0.912903 + 0.408177i \(0.133835\pi\)
−0.645396 + 0.763848i \(0.723308\pi\)
\(678\) −1.95053e9 2.60280e10i −0.240352 3.20728i
\(679\) −7.06169e8 2.17824e8i −0.0865694 0.0267031i
\(680\) 2.39712e9 1.15439e9i 0.292354 0.140790i
\(681\) 1.02212e10 1.77037e10i 1.24019 2.14807i
\(682\) −1.13769e10 1.97053e10i −1.37334 2.37869i
\(683\) 1.01155e10 + 6.89666e9i 1.21483 + 0.828259i 0.989289 0.145973i \(-0.0466314\pi\)
0.225545 + 0.974233i \(0.427584\pi\)
\(684\) 5.55830e7 2.43525e8i 0.00664119 0.0290970i
\(685\) −2.66844e9 4.02203e8i −0.317206 0.0478111i
\(686\) −4.05115e9 5.07998e9i −0.479120 0.600797i
\(687\) −8.06490e9 −0.948966
\(688\) −3.96947e9 + 2.60849e9i −0.464700 + 0.305373i
\(689\) 9.92823e9 1.15639
\(690\) 1.28871e9 + 1.61599e9i 0.149342 + 0.187269i
\(691\) 1.47236e10 + 2.21922e9i 1.69762 + 0.255875i 0.925266 0.379320i \(-0.123842\pi\)
0.772352 + 0.635194i \(0.219080\pi\)
\(692\) 3.20526e9 1.40432e10i 0.367698 1.61099i
\(693\) 5.00348e9 + 3.41131e9i 0.571091 + 0.389364i
\(694\) −1.32040e10 2.28699e10i −1.49950 2.59721i
\(695\) −4.89042e8 + 8.47045e8i −0.0552585 + 0.0957106i
\(696\) −6.97436e9 + 3.35867e9i −0.784101 + 0.377603i
\(697\) −8.74658e9 2.69796e9i −0.978416 0.301801i
\(698\) −1.75409e8 2.34067e9i −0.0195235 0.260523i
\(699\) −2.33902e8 1.02479e9i −0.0259038 0.113492i
\(700\) 6.41868e8 1.63545e9i 0.0707298 0.180217i
\(701\) 418129. 5.57954e6i 4.58456e−5 0.000611767i −0.997181 0.0750360i \(-0.976093\pi\)
0.997227 + 0.0744242i \(0.0237119\pi\)
\(702\) 3.26039e10 4.91425e9i 3.55705 0.536139i
\(703\) −6.72200e7 6.23710e7i −0.00729718 0.00677079i
\(704\) −1.40614e10 6.77162e9i −1.51888 0.731456i
\(705\) 1.83760e10 1.25286e10i 1.97510 1.34660i
\(706\) 5.31429e9 + 1.35406e10i 0.568367 + 1.44818i
\(707\) 3.07110e9 9.47310e8i 0.326834 0.100815i
\(708\) −2.63301e10 + 2.44308e10i −2.78828 + 2.58714i
\(709\) 3.56856e9 4.47483e9i 0.376037 0.471536i −0.557417 0.830233i \(-0.688207\pi\)
0.933454 + 0.358697i \(0.116779\pi\)
\(710\) −9.40867e7 + 1.17981e8i −0.00986561 + 0.0123711i
\(711\) −1.72704e10 + 1.60246e10i −1.80202 + 1.67203i
\(712\) −5.62619e9 + 1.73545e9i −0.584164 + 0.180191i
\(713\) 7.33343e8 + 1.86853e9i 0.0757694 + 0.193057i
\(714\) −5.64528e9 + 3.84889e9i −0.580419 + 0.395723i
\(715\) −5.98035e9 2.87998e9i −0.611864 0.294658i
\(716\) −3.23342e9 3.00018e9i −0.329205 0.305458i
\(717\) 1.54423e10 2.32756e9i 1.56457 0.235822i
\(718\) −1.64000e9 + 2.18842e10i −0.165351 + 2.20646i
\(719\) −3.10828e9 + 7.91977e9i −0.311867 + 0.794624i 0.685891 + 0.727704i \(0.259412\pi\)
−0.997758 + 0.0669200i \(0.978683\pi\)
\(720\) 1.97011e9 + 8.63163e9i 0.196710 + 0.861845i
\(721\) 9.93804e7 + 1.32614e9i 0.00987477 + 0.131770i
\(722\) 1.47593e10 + 4.55265e9i 1.45944 + 0.450177i
\(723\) −7.16137e9 + 3.44873e9i −0.704712 + 0.339372i
\(724\) −1.30778e9 + 2.26514e9i −0.128071 + 0.221825i
\(725\) 2.65881e9 + 4.60520e9i 0.259122 + 0.448813i
\(726\) 5.58260e9 + 3.80615e9i 0.541450 + 0.369154i
\(727\) −4.43141e8 + 1.94153e9i −0.0427732 + 0.187402i −0.991801 0.127790i \(-0.959212\pi\)
0.949028 + 0.315192i \(0.102069\pi\)
\(728\) 1.25393e9 + 1.89000e8i 0.120452 + 0.0181553i
\(729\) 5.49187e9 + 6.88659e9i 0.525018 + 0.658352i
\(730\) 5.06936e9 0.482306
\(731\) 5.85017e8 + 1.01139e10i 0.0553934 + 0.957651i
\(732\) 1.27913e10 1.20538
\(733\) −8.64785e9 1.08441e10i −0.811044 1.01702i −0.999390 0.0349143i \(-0.988884\pi\)
0.188346 0.982103i \(-0.439687\pi\)
\(734\) 9.47151e9 + 1.42760e9i 0.884063 + 0.133251i
\(735\) −2.73432e9 + 1.19798e10i −0.254006 + 1.11287i
\(736\) 1.55422e9 + 1.05965e9i 0.143695 + 0.0979695i
\(737\) −8.88484e9 1.53890e10i −0.817549 1.41604i
\(738\) −2.12801e10 + 3.68581e10i −1.94884 + 3.37549i
\(739\) 5.21247e9 2.51019e9i 0.475103 0.228798i −0.180979 0.983487i \(-0.557927\pi\)
0.656082 + 0.754689i \(0.272212\pi\)
\(740\) −9.92519e9 3.06152e9i −0.900384 0.277732i
\(741\) −1.31269e7 1.75166e8i −0.00118522 0.0158157i
\(742\) 1.23824e9 + 5.42510e9i 0.111274 + 0.487522i
\(743\) 6.40042e9 1.63080e10i 0.572463 1.45861i −0.292248 0.956342i \(-0.594403\pi\)
0.864711 0.502269i \(-0.167501\pi\)
\(744\) 1.27337e9 1.69920e10i 0.113357 1.51265i
\(745\) 4.98257e9 7.51002e8i 0.441476 0.0665418i
\(746\) −2.26760e10 2.10403e10i −1.99978 1.85552i
\(747\) −4.09307e10 1.97112e10i −3.59275 1.73018i
\(748\) −1.34281e10 + 9.15514e9i −1.17317 + 0.799852i
\(749\) −8.94447e8 2.27901e9i −0.0777801 0.198180i
\(750\) −3.21667e10 + 9.92211e9i −2.78415 + 0.858795i
\(751\) 2.45669e9 2.27948e9i 0.211647 0.196379i −0.567225 0.823563i \(-0.691983\pi\)
0.778871 + 0.627184i \(0.215792\pi\)