Properties

Label 80.6.l.a.61.13
Level $80$
Weight $6$
Character 80.61
Analytic conductor $12.831$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 80 = 2^{4} \cdot 5 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 80.l (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(12.8307055850\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(40\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 61.13
Character \(\chi\) \(=\) 80.61
Dual form 80.6.l.a.21.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.36114 - 4.55002i) q^{2} +(-18.2668 - 18.2668i) q^{3} +(-9.40545 + 30.5866i) q^{4} +(-17.6777 + 17.6777i) q^{5} +(-21.7171 + 144.512i) q^{6} -13.9157i q^{7} +(170.783 - 60.0107i) q^{8} +424.353i q^{9} +O(q^{10})\) \(q+(-3.36114 - 4.55002i) q^{2} +(-18.2668 - 18.2668i) q^{3} +(-9.40545 + 30.5866i) q^{4} +(-17.6777 + 17.6777i) q^{5} +(-21.7171 + 144.512i) q^{6} -13.9157i q^{7} +(170.783 - 60.0107i) q^{8} +424.353i q^{9} +(139.851 + 21.0167i) q^{10} +(-220.571 + 220.571i) q^{11} +(730.527 - 386.911i) q^{12} +(433.351 + 433.351i) q^{13} +(-63.3167 + 46.7726i) q^{14} +645.829 q^{15} +(-847.075 - 575.361i) q^{16} -25.9583 q^{17} +(1930.82 - 1426.31i) q^{18} +(-1566.86 - 1566.86i) q^{19} +(-374.433 - 706.965i) q^{20} +(-254.195 + 254.195i) q^{21} +(1744.97 + 262.232i) q^{22} -1496.29i q^{23} +(-4215.86 - 2023.45i) q^{24} -625.000i q^{25} +(515.203 - 3428.31i) q^{26} +(3312.74 - 3312.74i) q^{27} +(425.633 + 130.883i) q^{28} +(324.914 + 324.914i) q^{29} +(-2170.72 - 2938.54i) q^{30} +7904.77 q^{31} +(229.235 + 5788.08i) q^{32} +8058.24 q^{33} +(87.2494 + 118.111i) q^{34} +(245.997 + 245.997i) q^{35} +(-12979.5 - 3991.23i) q^{36} +(-3034.60 + 3034.60i) q^{37} +(-1862.82 + 12395.7i) q^{38} -15831.9i q^{39} +(-1958.19 + 4079.89i) q^{40} +17561.5i q^{41} +(2010.98 + 302.208i) q^{42} +(11258.4 - 11258.4i) q^{43} +(-4671.93 - 8821.06i) q^{44} +(-7501.57 - 7501.57i) q^{45} +(-6808.15 + 5029.24i) q^{46} +16959.8 q^{47} +(4963.36 + 25983.4i) q^{48} +16613.4 q^{49} +(-2843.77 + 2100.71i) q^{50} +(474.175 + 474.175i) q^{51} +(-17330.6 + 9178.85i) q^{52} +(15349.1 - 15349.1i) q^{53} +(-26207.7 - 3938.46i) q^{54} -7798.35i q^{55} +(-835.090 - 2376.56i) q^{56} +57243.3i q^{57} +(386.284 - 2570.45i) q^{58} +(-24469.4 + 24469.4i) q^{59} +(-6074.31 + 19753.7i) q^{60} +(-28968.0 - 28968.0i) q^{61} +(-26569.1 - 35966.9i) q^{62} +5905.16 q^{63} +(25565.4 - 20497.6i) q^{64} -15321.3 q^{65} +(-27084.9 - 36665.2i) q^{66} +(42714.5 + 42714.5i) q^{67} +(244.149 - 793.974i) q^{68} +(-27332.4 + 27332.4i) q^{69} +(292.461 - 1946.12i) q^{70} +40585.1i q^{71} +(25465.7 + 72472.1i) q^{72} +872.108i q^{73} +(24007.3 + 3607.79i) q^{74} +(-11416.8 + 11416.8i) q^{75} +(62662.1 - 33187.9i) q^{76} +(3069.39 + 3069.39i) q^{77} +(-72035.4 + 53213.2i) q^{78} +87124.5 q^{79} +(25145.3 - 4803.28i) q^{80} -17908.7 q^{81} +(79905.1 - 59026.6i) q^{82} +(-63039.3 - 63039.3i) q^{83} +(-5384.14 - 10165.8i) q^{84} +(458.881 - 458.881i) q^{85} +(-89066.8 - 13384.9i) q^{86} -11870.3i q^{87} +(-24433.0 + 50906.2i) q^{88} -51305.5i q^{89} +(-8918.49 + 59346.2i) q^{90} +(6030.37 - 6030.37i) q^{91} +(45766.3 + 14073.3i) q^{92} +(-144395. - 144395. i) q^{93} +(-57004.1 - 77167.3i) q^{94} +55397.0 q^{95} +(101542. - 109917. i) q^{96} +117514. q^{97} +(-55839.8 - 75591.2i) q^{98} +(-93599.8 - 93599.8i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 44q^{4} - 228q^{6} + O(q^{10}) \) \( 80q + 44q^{4} - 228q^{6} - 100q^{10} + 1208q^{11} + 1572q^{12} - 916q^{14} - 1800q^{15} + 2960q^{16} + 6400q^{18} + 2360q^{19} - 3800q^{20} - 3260q^{22} - 13880q^{24} - 880q^{26} - 7464q^{27} + 18764q^{28} - 8144q^{29} + 22400q^{32} - 7440q^{34} + 27948q^{36} + 21296q^{37} - 34820q^{38} - 7260q^{42} + 32072q^{43} + 64392q^{44} + 149268q^{46} - 88360q^{47} + 94040q^{48} - 192080q^{49} + 2500q^{50} - 5920q^{51} - 55016q^{52} - 49456q^{53} - 250784q^{54} - 250352q^{56} - 115988q^{58} + 44984q^{59} + 7700q^{60} + 48080q^{61} + 444328q^{62} + 158760q^{63} + 218096q^{64} + 253440q^{66} + 61160q^{67} - 119792q^{68} - 22320q^{69} - 66200q^{70} - 629480q^{72} - 156664q^{74} + 223232q^{76} - 14896q^{77} + 516176q^{78} + 177680q^{79} + 48400q^{80} - 524880q^{81} + 254476q^{82} - 329240q^{83} - 173248q^{84} + 132400q^{85} - 765740q^{86} - 390400q^{88} + 71100q^{90} + 364832q^{91} + 333532q^{92} - 362352q^{93} + 537844q^{94} + 288800q^{95} + 1151112q^{96} + 52420q^{98} + 659000q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/80\mathbb{Z}\right)^\times\).

\(n\) \(17\) \(21\) \(31\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{4}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.36114 4.55002i −0.594172 0.804338i
\(3\) −18.2668 18.2668i −1.17182 1.17182i −0.981776 0.190040i \(-0.939138\pi\)
−0.190040 0.981776i \(-0.560862\pi\)
\(4\) −9.40545 + 30.5866i −0.293920 + 0.955830i
\(5\) −17.6777 + 17.6777i −0.316228 + 0.316228i
\(6\) −21.7171 + 144.512i −0.246277 + 1.63880i
\(7\) 13.9157i 0.107339i −0.998559 0.0536697i \(-0.982908\pi\)
0.998559 0.0536697i \(-0.0170918\pi\)
\(8\) 170.783 60.0107i 0.943450 0.331516i
\(9\) 424.353i 1.74631i
\(10\) 139.851 + 21.0167i 0.442248 + 0.0664606i
\(11\) −220.571 + 220.571i −0.549624 + 0.549624i −0.926332 0.376708i \(-0.877056\pi\)
0.376708 + 0.926332i \(0.377056\pi\)
\(12\) 730.527 386.911i 1.46448 0.775637i
\(13\) 433.351 + 433.351i 0.711182 + 0.711182i 0.966783 0.255600i \(-0.0822731\pi\)
−0.255600 + 0.966783i \(0.582273\pi\)
\(14\) −63.3167 + 46.7726i −0.0863372 + 0.0637781i
\(15\) 645.829 0.741122
\(16\) −847.075 575.361i −0.827222 0.561876i
\(17\) −25.9583 −0.0217848 −0.0108924 0.999941i \(-0.503467\pi\)
−0.0108924 + 0.999941i \(0.503467\pi\)
\(18\) 1930.82 1426.31i 1.40462 1.03761i
\(19\) −1566.86 1566.86i −0.995744 0.995744i 0.00424742 0.999991i \(-0.498648\pi\)
−0.999991 + 0.00424742i \(0.998648\pi\)
\(20\) −374.433 706.965i −0.209314 0.395206i
\(21\) −254.195 + 254.195i −0.125782 + 0.125782i
\(22\) 1744.97 + 262.232i 0.768655 + 0.115513i
\(23\) 1496.29i 0.589787i −0.955530 0.294894i \(-0.904716\pi\)
0.955530 0.294894i \(-0.0952843\pi\)
\(24\) −4215.86 2023.45i −1.49403 0.717075i
\(25\) 625.000i 0.200000i
\(26\) 515.203 3428.31i 0.149467 0.994596i
\(27\) 3312.74 3312.74i 0.874537 0.874537i
\(28\) 425.633 + 130.883i 0.102598 + 0.0315492i
\(29\) 324.914 + 324.914i 0.0717419 + 0.0717419i 0.742067 0.670325i \(-0.233845\pi\)
−0.670325 + 0.742067i \(0.733845\pi\)
\(30\) −2170.72 2938.54i −0.440354 0.596113i
\(31\) 7904.77 1.47736 0.738678 0.674059i \(-0.235451\pi\)
0.738678 + 0.674059i \(0.235451\pi\)
\(32\) 229.235 + 5788.08i 0.0395736 + 0.999217i
\(33\) 8058.24 1.28812
\(34\) 87.2494 + 118.111i 0.0129439 + 0.0175223i
\(35\) 245.997 + 245.997i 0.0339437 + 0.0339437i
\(36\) −12979.5 3991.23i −1.66917 0.513275i
\(37\) −3034.60 + 3034.60i −0.364416 + 0.364416i −0.865436 0.501020i \(-0.832958\pi\)
0.501020 + 0.865436i \(0.332958\pi\)
\(38\) −1862.82 + 12395.7i −0.209272 + 1.39256i
\(39\) 15831.9i 1.66675i
\(40\) −1958.19 + 4079.89i −0.193511 + 0.403179i
\(41\) 17561.5i 1.63155i 0.578367 + 0.815776i \(0.303690\pi\)
−0.578367 + 0.815776i \(0.696310\pi\)
\(42\) 2010.98 + 302.208i 0.175908 + 0.0264352i
\(43\) 11258.4 11258.4i 0.928547 0.928547i −0.0690650 0.997612i \(-0.522002\pi\)
0.997612 + 0.0690650i \(0.0220016\pi\)
\(44\) −4671.93 8821.06i −0.363802 0.686893i
\(45\) −7501.57 7501.57i −0.552231 0.552231i
\(46\) −6808.15 + 5029.24i −0.474389 + 0.350435i
\(47\) 16959.8 1.11989 0.559944 0.828530i \(-0.310822\pi\)
0.559944 + 0.828530i \(0.310822\pi\)
\(48\) 4963.36 + 25983.4i 0.310937 + 1.62777i
\(49\) 16613.4 0.988478
\(50\) −2843.77 + 2100.71i −0.160868 + 0.118834i
\(51\) 474.175 + 474.175i 0.0255278 + 0.0255278i
\(52\) −17330.6 + 9178.85i −0.888800 + 0.470739i
\(53\) 15349.1 15349.1i 0.750576 0.750576i −0.224011 0.974587i \(-0.571915\pi\)
0.974587 + 0.224011i \(0.0719151\pi\)
\(54\) −26207.7 3938.46i −1.22305 0.183799i
\(55\) 7798.35i 0.347613i
\(56\) −835.090 2376.56i −0.0355847 0.101269i
\(57\) 57243.3i 2.33366i
\(58\) 386.284 2570.45i 0.0150778 0.100332i
\(59\) −24469.4 + 24469.4i −0.915151 + 0.915151i −0.996672 0.0815203i \(-0.974022\pi\)
0.0815203 + 0.996672i \(0.474022\pi\)
\(60\) −6074.31 + 19753.7i −0.217831 + 0.708387i
\(61\) −28968.0 28968.0i −0.996768 0.996768i 0.00322639 0.999995i \(-0.498973\pi\)
−0.999995 + 0.00322639i \(0.998973\pi\)
\(62\) −26569.1 35966.9i −0.877803 1.18829i
\(63\) 5905.16 0.187448
\(64\) 25565.4 20497.6i 0.780195 0.625537i
\(65\) −15321.3 −0.449791
\(66\) −27084.9 36665.2i −0.765363 1.03608i
\(67\) 42714.5 + 42714.5i 1.16249 + 1.16249i 0.983929 + 0.178560i \(0.0571438\pi\)
0.178560 + 0.983929i \(0.442856\pi\)
\(68\) 244.149 793.974i 0.00640299 0.0208225i
\(69\) −27332.4 + 27332.4i −0.691123 + 0.691123i
\(70\) 292.461 1946.12i 0.00713384 0.0474706i
\(71\) 40585.1i 0.955478i 0.878502 + 0.477739i \(0.158544\pi\)
−0.878502 + 0.477739i \(0.841456\pi\)
\(72\) 25465.7 + 72472.1i 0.578929 + 1.64755i
\(73\) 872.108i 0.0191542i 0.999954 + 0.00957708i \(0.00304853\pi\)
−0.999954 + 0.00957708i \(0.996951\pi\)
\(74\) 24007.3 + 3607.79i 0.509640 + 0.0765881i
\(75\) −11416.8 + 11416.8i −0.234363 + 0.234363i
\(76\) 62662.1 33187.9i 1.24443 0.659092i
\(77\) 3069.39 + 3069.39i 0.0589964 + 0.0589964i
\(78\) −72035.4 + 53213.2i −1.34063 + 0.990336i
\(79\) 87124.5 1.57063 0.785313 0.619100i \(-0.212502\pi\)
0.785313 + 0.619100i \(0.212502\pi\)
\(80\) 25145.3 4803.28i 0.439271 0.0839098i
\(81\) −17908.7 −0.303285
\(82\) 79905.1 59026.6i 1.31232 0.969422i
\(83\) −63039.3 63039.3i −1.00442 1.00442i −0.999990 0.00443164i \(-0.998589\pi\)
−0.00443164 0.999990i \(-0.501411\pi\)
\(84\) −5384.14 10165.8i −0.0832564 0.157196i
\(85\) 458.881 458.881i 0.00688895 0.00688895i
\(86\) −89066.8 13384.9i −1.29858 0.195150i
\(87\) 11870.3i 0.168137i
\(88\) −24433.0 + 50906.2i −0.336334 + 0.700752i
\(89\) 51305.5i 0.686577i −0.939230 0.343288i \(-0.888459\pi\)
0.939230 0.343288i \(-0.111541\pi\)
\(90\) −8918.49 + 59346.2i −0.116061 + 0.772301i
\(91\) 6030.37 6030.37i 0.0763379 0.0763379i
\(92\) 45766.3 + 14073.3i 0.563737 + 0.173350i
\(93\) −144395. 144395.i −1.73119 1.73119i
\(94\) −57004.1 77167.3i −0.665406 0.900770i
\(95\) 55397.0 0.629764
\(96\) 101542. 109917.i 1.12453 1.21727i
\(97\) 117514. 1.26812 0.634060 0.773284i \(-0.281387\pi\)
0.634060 + 0.773284i \(0.281387\pi\)
\(98\) −55839.8 75591.2i −0.587326 0.795071i
\(99\) −93599.8 93599.8i −0.959813 0.959813i
\(100\) 19116.6 + 5878.40i 0.191166 + 0.0587840i
\(101\) −43034.0 + 43034.0i −0.419767 + 0.419767i −0.885123 0.465356i \(-0.845926\pi\)
0.465356 + 0.885123i \(0.345926\pi\)
\(102\) 563.738 3751.27i 0.00536509 0.0357008i
\(103\) 86467.5i 0.803082i −0.915841 0.401541i \(-0.868475\pi\)
0.915841 0.401541i \(-0.131525\pi\)
\(104\) 100014. + 48003.1i 0.906733 + 0.435197i
\(105\) 8987.16i 0.0795516i
\(106\) −121430. 18248.3i −1.04969 0.157746i
\(107\) 6956.94 6956.94i 0.0587434 0.0587434i −0.677125 0.735868i \(-0.736774\pi\)
0.735868 + 0.677125i \(0.236774\pi\)
\(108\) 70167.6 + 132483.i 0.578865 + 1.09295i
\(109\) 117017. + 117017.i 0.943375 + 0.943375i 0.998481 0.0551055i \(-0.0175495\pi\)
−0.0551055 + 0.998481i \(0.517550\pi\)
\(110\) −35482.7 + 26211.4i −0.279598 + 0.206542i
\(111\) 110865. 0.854058
\(112\) −8006.53 + 11787.6i −0.0603114 + 0.0887935i
\(113\) 32246.3 0.237566 0.118783 0.992920i \(-0.462101\pi\)
0.118783 + 0.992920i \(0.462101\pi\)
\(114\) 260458. 192403.i 1.87705 1.38659i
\(115\) 26450.9 + 26450.9i 0.186507 + 0.186507i
\(116\) −12994.0 + 6882.03i −0.0896595 + 0.0474867i
\(117\) −183894. + 183894.i −1.24194 + 1.24194i
\(118\) 193581. + 29091.2i 1.27985 + 0.192334i
\(119\) 361.227i 0.00233837i
\(120\) 110296. 38756.7i 0.699211 0.245694i
\(121\) 63748.3i 0.395827i
\(122\) −34439.6 + 229171.i −0.209488 + 1.39399i
\(123\) 320792. 320792.i 1.91188 1.91188i
\(124\) −74347.9 + 241780.i −0.434225 + 1.41210i
\(125\) 11048.5 + 11048.5i 0.0632456 + 0.0632456i
\(126\) −19848.1 26868.6i −0.111376 0.150771i
\(127\) −312532. −1.71943 −0.859717 0.510772i \(-0.829360\pi\)
−0.859717 + 0.510772i \(0.829360\pi\)
\(128\) −179194. 47428.0i −0.966713 0.255864i
\(129\) −411309. −2.17617
\(130\) 51496.9 + 69712.1i 0.267253 + 0.361784i
\(131\) 145389. + 145389.i 0.740206 + 0.740206i 0.972618 0.232411i \(-0.0746615\pi\)
−0.232411 + 0.972618i \(0.574662\pi\)
\(132\) −75791.4 + 246474.i −0.378604 + 1.23122i
\(133\) −21804.0 + 21804.0i −0.106883 + 0.106883i
\(134\) 50782.6 337922.i 0.244316 1.62575i
\(135\) 117123.i 0.553106i
\(136\) −4433.22 + 1557.77i −0.0205528 + 0.00722200i
\(137\) 337137.i 1.53464i 0.641267 + 0.767318i \(0.278409\pi\)
−0.641267 + 0.767318i \(0.721591\pi\)
\(138\) 216231. + 32495.0i 0.966542 + 0.145251i
\(139\) 193906. 193906.i 0.851245 0.851245i −0.139041 0.990287i \(-0.544402\pi\)
0.990287 + 0.139041i \(0.0444020\pi\)
\(140\) −9837.91 + 5210.49i −0.0424212 + 0.0224677i
\(141\) −309801. 309801.i −1.31230 1.31230i
\(142\) 184663. 136412.i 0.768527 0.567718i
\(143\) −191169. −0.781766
\(144\) 244156. 359459.i 0.981208 1.44458i
\(145\) −11487.4 −0.0453736
\(146\) 3968.11 2931.28i 0.0154064 0.0113809i
\(147\) −303473. 303473.i −1.15832 1.15832i
\(148\) −64276.3 121360.i −0.241211 0.455429i
\(149\) −218920. + 218920.i −0.807829 + 0.807829i −0.984305 0.176476i \(-0.943530\pi\)
0.176476 + 0.984305i \(0.443530\pi\)
\(150\) 90319.9 + 13573.2i 0.327759 + 0.0492554i
\(151\) 400584.i 1.42972i 0.699267 + 0.714861i \(0.253510\pi\)
−0.699267 + 0.714861i \(0.746490\pi\)
\(152\) −361622. 173565.i −1.26954 0.609329i
\(153\) 11015.5i 0.0380430i
\(154\) 3649.14 24282.5i 0.0123991 0.0825070i
\(155\) −139738. + 139738.i −0.467181 + 0.467181i
\(156\) 484242. + 148906.i 1.59313 + 0.489892i
\(157\) 244052. + 244052.i 0.790192 + 0.790192i 0.981525 0.191333i \(-0.0612811\pi\)
−0.191333 + 0.981525i \(0.561281\pi\)
\(158\) −292838. 396419.i −0.933221 1.26331i
\(159\) −560760. −1.75907
\(160\) −106372. 98267.4i −0.328494 0.303466i
\(161\) −20821.9 −0.0633075
\(162\) 60193.7 + 81485.0i 0.180204 + 0.243944i
\(163\) 129841. + 129841.i 0.382774 + 0.382774i 0.872101 0.489327i \(-0.162757\pi\)
−0.489327 + 0.872101i \(0.662757\pi\)
\(164\) −537145. 165173.i −1.55949 0.479546i
\(165\) −142451. + 142451.i −0.407339 + 0.407339i
\(166\) −74946.3 + 498714.i −0.211096 + 1.40469i
\(167\) 297250.i 0.824765i −0.911011 0.412383i \(-0.864697\pi\)
0.911011 0.412383i \(-0.135303\pi\)
\(168\) −28157.7 + 58666.6i −0.0769704 + 0.160368i
\(169\) 4292.44i 0.0115608i
\(170\) −3630.29 545.556i −0.00963427 0.00144783i
\(171\) 664904. 664904.i 1.73888 1.73888i
\(172\) 238465. + 450244.i 0.614614 + 1.16045i
\(173\) 187953. + 187953.i 0.477457 + 0.477457i 0.904317 0.426861i \(-0.140380\pi\)
−0.426861 + 0.904317i \(0.640380\pi\)
\(174\) −54010.1 + 39897.7i −0.135239 + 0.0999021i
\(175\) −8697.30 −0.0214679
\(176\) 313747. 59932.2i 0.763481 0.145841i
\(177\) 893955. 2.14478
\(178\) −233441. + 172445.i −0.552240 + 0.407944i
\(179\) −368128. 368128.i −0.858748 0.858748i 0.132442 0.991191i \(-0.457718\pi\)
−0.991191 + 0.132442i \(0.957718\pi\)
\(180\) 300003. 158892.i 0.690151 0.365527i
\(181\) 78950.2 78950.2i 0.179125 0.179125i −0.611849 0.790974i \(-0.709574\pi\)
0.790974 + 0.611849i \(0.209574\pi\)
\(182\) −47707.3 7169.40i −0.106759 0.0160437i
\(183\) 1.05831e6i 2.33606i
\(184\) −89793.4 255540.i −0.195524 0.556435i
\(185\) 107289.i 0.230477i
\(186\) −171669. + 1.14233e6i −0.363839 + 2.42109i
\(187\) 5725.63 5725.63i 0.0119734 0.0119734i
\(188\) −159514. + 518741.i −0.329158 + 1.07042i
\(189\) −46099.1 46099.1i −0.0938723 0.0938723i
\(190\) −186197. 252058.i −0.374188 0.506543i
\(191\) 160856. 0.319047 0.159524 0.987194i \(-0.449004\pi\)
0.159524 + 0.987194i \(0.449004\pi\)
\(192\) −841424. 92573.2i −1.64726 0.181231i
\(193\) 543608. 1.05049 0.525246 0.850950i \(-0.323973\pi\)
0.525246 + 0.850950i \(0.323973\pi\)
\(194\) −394981. 534692.i −0.753481 1.02000i
\(195\) 279871. + 279871.i 0.527073 + 0.527073i
\(196\) −156256. + 508145.i −0.290534 + 0.944817i
\(197\) −60916.8 + 60916.8i −0.111833 + 0.111833i −0.760809 0.648976i \(-0.775198\pi\)
0.648976 + 0.760809i \(0.275198\pi\)
\(198\) −111279. + 740483.i −0.201721 + 1.34231i
\(199\) 943709.i 1.68930i 0.535323 + 0.844648i \(0.320190\pi\)
−0.535323 + 0.844648i \(0.679810\pi\)
\(200\) −37506.7 106739.i −0.0663031 0.188690i
\(201\) 1.56052e6i 2.72445i
\(202\) 340449. + 51162.4i 0.587049 + 0.0882211i
\(203\) 4521.40 4521.40i 0.00770074 0.00770074i
\(204\) −18963.2 + 10043.5i −0.0319033 + 0.0168971i
\(205\) −310446. 310446.i −0.515942 0.515942i
\(206\) −393429. + 290630.i −0.645950 + 0.477169i
\(207\) 634954. 1.02995
\(208\) −117748. 616413.i −0.188710 0.987902i
\(209\) 691208. 1.09457
\(210\) −40891.8 + 30207.1i −0.0639864 + 0.0472673i
\(211\) 60603.7 + 60603.7i 0.0937115 + 0.0937115i 0.752408 0.658697i \(-0.228892\pi\)
−0.658697 + 0.752408i \(0.728892\pi\)
\(212\) 325112. + 613843.i 0.496813 + 0.938032i
\(213\) 741360. 741360.i 1.11964 1.11964i
\(214\) −55037.5 8270.99i −0.0821532 0.0123459i
\(215\) 398043.i 0.587265i
\(216\) 366959. 764559.i 0.535159 1.11500i
\(217\) 110000.i 0.158579i
\(218\) 139120. 925745.i 0.198266 1.31932i
\(219\) 15930.6 15930.6i 0.0224452 0.0224452i
\(220\) 238525. + 73346.9i 0.332259 + 0.102170i
\(221\) −11249.0 11249.0i −0.0154930 0.0154930i
\(222\) −372633. 504439.i −0.507457 0.686951i
\(223\) 286362. 0.385614 0.192807 0.981237i \(-0.438241\pi\)
0.192807 + 0.981237i \(0.438241\pi\)
\(224\) 80545.1 3189.96i 0.107255 0.00424781i
\(225\) 265221. 0.349262
\(226\) −108384. 146721.i −0.141155 0.191083i
\(227\) 173972. + 173972.i 0.224086 + 0.224086i 0.810217 0.586130i \(-0.199349\pi\)
−0.586130 + 0.810217i \(0.699349\pi\)
\(228\) −1.75087e6 538398.i −2.23058 0.685909i
\(229\) 670007. 670007.i 0.844287 0.844287i −0.145126 0.989413i \(-0.546359\pi\)
0.989413 + 0.145126i \(0.0463587\pi\)
\(230\) 31447.0 209257.i 0.0391976 0.260832i
\(231\) 112136.i 0.138266i
\(232\) 74987.9 + 35991.3i 0.0914685 + 0.0439013i
\(233\) 855139.i 1.03192i −0.856612 0.515961i \(-0.827435\pi\)
0.856612 0.515961i \(-0.172565\pi\)
\(234\) 1.45481e6 + 218628.i 1.73687 + 0.261015i
\(235\) −299809. + 299809.i −0.354140 + 0.354140i
\(236\) −518289. 978580.i −0.605748 1.14371i
\(237\) −1.59149e6 1.59149e6i −1.84048 1.84048i
\(238\) 1643.59 1214.13i 0.00188084 0.00138939i
\(239\) −1.24908e6 −1.41448 −0.707238 0.706975i \(-0.750059\pi\)
−0.707238 + 0.706975i \(0.750059\pi\)
\(240\) −547066. 371585.i −0.613072 0.416418i
\(241\) 738534. 0.819083 0.409542 0.912291i \(-0.365689\pi\)
0.409542 + 0.912291i \(0.365689\pi\)
\(242\) 290056. 214267.i 0.318378 0.235189i
\(243\) −477861. 477861.i −0.519142 0.519142i
\(244\) 1.15849e6 613575.i 1.24571 0.659771i
\(245\) −293685. + 293685.i −0.312584 + 0.312584i
\(246\) −2.53784e6 381384.i −2.67378 0.401814i
\(247\) 1.35800e6i 1.41631i
\(248\) 1.35000e6 474371.i 1.39381 0.489767i
\(249\) 2.30305e6i 2.35400i
\(250\) 13135.4 87406.9i 0.0132921 0.0884495i
\(251\) −180182. + 180182.i −0.180520 + 0.180520i −0.791583 0.611062i \(-0.790742\pi\)
0.611062 + 0.791583i \(0.290742\pi\)
\(252\) −55540.7 + 180619.i −0.0550947 + 0.179168i
\(253\) 330037. + 330037.i 0.324161 + 0.324161i
\(254\) 1.05046e6 + 1.42203e6i 1.02164 + 1.38301i
\(255\) −16764.6 −0.0161452
\(256\) 386496. + 974747.i 0.368592 + 0.929591i
\(257\) 1.33681e6 1.26251 0.631256 0.775575i \(-0.282540\pi\)
0.631256 + 0.775575i \(0.282540\pi\)
\(258\) 1.38247e6 + 1.87146e6i 1.29302 + 1.75038i
\(259\) 42228.6 + 42228.6i 0.0391162 + 0.0391162i
\(260\) 144103. 468625.i 0.132203 0.429924i
\(261\) −137878. + 137878.i −0.125284 + 0.125284i
\(262\) 172850. 1.15020e6i 0.155567 1.03519i
\(263\) 265597.i 0.236774i 0.992968 + 0.118387i \(0.0377724\pi\)
−0.992968 + 0.118387i \(0.962228\pi\)
\(264\) 1.37621e6 483581.i 1.21527 0.427031i
\(265\) 542674.i 0.474706i
\(266\) 172495. + 25922.4i 0.149476 + 0.0224632i
\(267\) −937188. + 937188.i −0.804542 + 0.804542i
\(268\) −1.70824e6 + 904741.i −1.45282 + 0.769463i
\(269\) 525286. + 525286.i 0.442603 + 0.442603i 0.892886 0.450283i \(-0.148677\pi\)
−0.450283 + 0.892886i \(0.648677\pi\)
\(270\) 532913. 393667.i 0.444884 0.328640i
\(271\) −404175. −0.334308 −0.167154 0.985931i \(-0.553458\pi\)
−0.167154 + 0.985931i \(0.553458\pi\)
\(272\) 21988.6 + 14935.4i 0.0180208 + 0.0122403i
\(273\) −220311. −0.178908
\(274\) 1.53398e6 1.13317e6i 1.23437 0.911837i
\(275\) 137857. + 137857.i 0.109925 + 0.109925i
\(276\) −578931. 1.09308e6i −0.457461 0.863731i
\(277\) −359520. + 359520.i −0.281529 + 0.281529i −0.833719 0.552189i \(-0.813793\pi\)
0.552189 + 0.833719i \(0.313793\pi\)
\(278\) −1.53402e6 230532.i −1.19048 0.178903i
\(279\) 3.35441e6i 2.57992i
\(280\) 56774.4 + 27249.5i 0.0432771 + 0.0207713i
\(281\) 2.11992e6i 1.60160i 0.598932 + 0.800800i \(0.295592\pi\)
−0.598932 + 0.800800i \(0.704408\pi\)
\(282\) −368317. + 2.45089e6i −0.275803 + 1.83527i
\(283\) −644887. + 644887.i −0.478650 + 0.478650i −0.904700 0.426050i \(-0.859905\pi\)
0.426050 + 0.904700i \(0.359905\pi\)
\(284\) −1.24136e6 381721.i −0.913274 0.280834i
\(285\) −1.01193e6 1.01193e6i −0.737967 0.737967i
\(286\) 642545. + 869823.i 0.464503 + 0.628804i
\(287\) 244380. 0.175130
\(288\) −2.45619e6 + 97276.6i −1.74494 + 0.0691078i
\(289\) −1.41918e6 −0.999525
\(290\) 38610.9 + 52268.1i 0.0269597 + 0.0364957i
\(291\) −2.14661e6 2.14661e6i −1.48600 1.48600i
\(292\) −26674.8 8202.57i −0.0183081 0.00562980i
\(293\) 811411. 811411.i 0.552169 0.552169i −0.374898 0.927066i \(-0.622322\pi\)
0.927066 + 0.374898i \(0.122322\pi\)
\(294\) −360794. + 2.40083e6i −0.243439 + 1.61992i
\(295\) 865123.i 0.578793i
\(296\) −336149. + 700366.i −0.222999 + 0.464618i
\(297\) 1.46139e6i 0.961333i
\(298\) 1.73191e6 + 260270.i 1.12976 + 0.169779i
\(299\) 648417. 648417.i 0.419446 0.419446i
\(300\) −241820. 456579.i −0.155127 0.292896i
\(301\) −156668. 156668.i −0.0996697 0.0996697i
\(302\) 1.82267e6 1.34642e6i 1.14998 0.849500i
\(303\) 1.57219e6 0.983780
\(304\) 425740. + 2.22876e6i 0.264217 + 1.38318i
\(305\) 1.02417e6 0.630412
\(306\) −50120.6 + 37024.5i −0.0305994 + 0.0226040i
\(307\) 231288. + 231288.i 0.140058 + 0.140058i 0.773660 0.633602i \(-0.218424\pi\)
−0.633602 + 0.773660i \(0.718424\pi\)
\(308\) −122751. + 65013.1i −0.0737307 + 0.0390503i
\(309\) −1.57949e6 + 1.57949e6i −0.941065 + 0.941065i
\(310\) 1.10549e6 + 166132.i 0.653357 + 0.0981859i
\(311\) 1.08331e6i 0.635114i −0.948239 0.317557i \(-0.897137\pi\)
0.948239 0.317557i \(-0.102863\pi\)
\(312\) −950082. 2.70381e6i −0.552554 1.57250i
\(313\) 2.42505e6i 1.39914i −0.714566 0.699568i \(-0.753376\pi\)
0.714566 0.699568i \(-0.246624\pi\)
\(314\) 290149. 1.93073e6i 0.166072 1.10509i
\(315\) −104389. + 104389.i −0.0592762 + 0.0592762i
\(316\) −819445. + 2.66484e6i −0.461639 + 1.50125i
\(317\) −601112. 601112.i −0.335975 0.335975i 0.518875 0.854850i \(-0.326351\pi\)
−0.854850 + 0.518875i \(0.826351\pi\)
\(318\) 1.88479e6 + 2.55147e6i 1.04519 + 1.41489i
\(319\) −143333. −0.0788622
\(320\) −89587.5 + 814287.i −0.0489071 + 0.444531i
\(321\) −254162. −0.137673
\(322\) 69985.3 + 94740.0i 0.0376155 + 0.0509206i
\(323\) 40673.1 + 40673.1i 0.0216921 + 0.0216921i
\(324\) 168439. 547765.i 0.0891417 0.289889i
\(325\) 270844. 270844.i 0.142236 0.142236i
\(326\) 154366. 1.02719e6i 0.0804464 0.535313i
\(327\) 4.27507e6i 2.21093i
\(328\) 1.05388e6 + 2.99919e6i 0.540885 + 1.53929i
\(329\) 236007.i 0.120208i
\(330\) 1.12695e6 + 169357.i 0.569667 + 0.0856090i
\(331\) −510922. + 510922.i −0.256321 + 0.256321i −0.823556 0.567235i \(-0.808013\pi\)
0.567235 + 0.823556i \(0.308013\pi\)
\(332\) 2.52107e6 1.33524e6i 1.25528 0.664837i
\(333\) −1.28774e6 1.28774e6i −0.636383 0.636383i
\(334\) −1.35249e6 + 999099.i −0.663390 + 0.490052i
\(335\) −1.51019e6 −0.735222
\(336\) 361576. 69068.5i 0.174724 0.0333758i
\(337\) 2.57019e6 1.23279 0.616397 0.787436i \(-0.288592\pi\)
0.616397 + 0.787436i \(0.288592\pi\)
\(338\) 19530.7 14427.5i 0.00929878 0.00686909i
\(339\) −589037. 589037.i −0.278383 0.278383i
\(340\) 9719.62 + 18351.6i 0.00455986 + 0.00860947i
\(341\) −1.74356e6 + 1.74356e6i −0.811990 + 0.811990i
\(342\) −5.26016e6 790492.i −2.43183 0.365454i
\(343\) 465067.i 0.213442i
\(344\) 1.24711e6 2.59835e6i 0.568210 1.18387i
\(345\) 966347.i 0.437104i
\(346\) 223454. 1.48693e6i 0.100346 0.667728i
\(347\) −1.28231e6 + 1.28231e6i −0.571701 + 0.571701i −0.932603 0.360903i \(-0.882469\pi\)
0.360903 + 0.932603i \(0.382469\pi\)
\(348\) 363071. + 111645.i 0.160710 + 0.0494188i
\(349\) 888285. + 888285.i 0.390381 + 0.390381i 0.874823 0.484442i \(-0.160977\pi\)
−0.484442 + 0.874823i \(0.660977\pi\)
\(350\) 29232.9 + 39572.9i 0.0127556 + 0.0172674i
\(351\) 2.87116e6 1.24391
\(352\) −1.32724e6 1.22612e6i −0.570944 0.527443i
\(353\) −806589. −0.344521 −0.172260 0.985051i \(-0.555107\pi\)
−0.172260 + 0.985051i \(0.555107\pi\)
\(354\) −3.00471e6 4.06752e6i −1.27437 1.72513i
\(355\) −717450. 717450.i −0.302149 0.302149i
\(356\) 1.56926e6 + 482551.i 0.656250 + 0.201799i
\(357\) 6598.46 6598.46i 0.00274014 0.00274014i
\(358\) −437661. + 2.91232e6i −0.180480 + 1.20097i
\(359\) 3.12013e6i 1.27772i 0.769322 + 0.638861i \(0.220594\pi\)
−0.769322 + 0.638861i \(0.779406\pi\)
\(360\) −1.73131e6 830963.i −0.704076 0.337929i
\(361\) 2.43403e6i 0.983010i
\(362\) −624588. 93862.5i −0.250508 0.0376462i
\(363\) 1.16448e6 1.16448e6i 0.463836 0.463836i
\(364\) 127730. + 241167.i 0.0505288 + 0.0954033i
\(365\) −15416.8 15416.8i −0.00605708 0.00605708i
\(366\) 4.81532e6 3.55712e6i 1.87898 1.38802i
\(367\) −2.36989e6 −0.918466 −0.459233 0.888316i \(-0.651876\pi\)
−0.459233 + 0.888316i \(0.651876\pi\)
\(368\) −860905. + 1.26747e6i −0.331387 + 0.487885i
\(369\) −7.45226e6 −2.84920
\(370\) −488170. + 360615.i −0.185381 + 0.136943i
\(371\) −213594. 213594.i −0.0805664 0.0805664i
\(372\) 5.77465e6 3.05845e6i 2.16356 1.14589i
\(373\) 592951. 592951.i 0.220672 0.220672i −0.588110 0.808781i \(-0.700128\pi\)
0.808781 + 0.588110i \(0.200128\pi\)
\(374\) −45296.4 6807.10i −0.0167450 0.00251642i
\(375\) 403643.i 0.148224i
\(376\) 2.89643e6 1.01777e6i 1.05656 0.371261i
\(377\) 281603.i 0.102043i
\(378\) −54806.4 + 364697.i −0.0197288 + 0.131281i
\(379\) 1.55802e6 1.55802e6i 0.557152 0.557152i −0.371343 0.928496i \(-0.621103\pi\)
0.928496 + 0.371343i \(0.121103\pi\)
\(380\) −521034. + 1.69440e6i −0.185100 + 0.601947i
\(381\) 5.70896e6 + 5.70896e6i 2.01486 + 2.01486i
\(382\) −540661. 731901.i −0.189569 0.256622i
\(383\) −1.73646e6 −0.604877 −0.302439 0.953169i \(-0.597801\pi\)
−0.302439 + 0.953169i \(0.597801\pi\)
\(384\) 2.40694e6 + 4.13965e6i 0.832984 + 1.43264i
\(385\) −108519. −0.0373126
\(386\) −1.82714e6 2.47343e6i −0.624173 0.844951i
\(387\) 4.77752e6 + 4.77752e6i 1.62153 + 1.62153i
\(388\) −1.10527e6 + 3.59435e6i −0.372726 + 1.21211i
\(389\) 1.66357e6 1.66357e6i 0.557400 0.557400i −0.371166 0.928566i \(-0.621042\pi\)
0.928566 + 0.371166i \(0.121042\pi\)
\(390\) 332733. 2.21410e6i 0.110773 0.737117i
\(391\) 38841.0i 0.0128484i
\(392\) 2.83727e6 996980.i 0.932580 0.327696i
\(393\) 5.31158e6i 1.73477i
\(394\) 481923. + 72422.9i 0.156400 + 0.0235037i
\(395\) −1.54016e6 + 1.54016e6i −0.496675 + 0.496675i
\(396\) 3.74324e6 1.98255e6i 1.19953 0.635310i
\(397\) −3.80404e6 3.80404e6i −1.21135 1.21135i −0.970584 0.240763i \(-0.922602\pi\)
−0.240763 0.970584i \(-0.577398\pi\)
\(398\) 4.29390e6 3.17194e6i 1.35876 1.00373i
\(399\) 796579. 0.250494
\(400\) −359600. + 529422.i −0.112375 + 0.165444i
\(401\) 2.69674e6 0.837487 0.418744 0.908105i \(-0.362471\pi\)
0.418744 + 0.908105i \(0.362471\pi\)
\(402\) −7.10039e6 + 5.24512e6i −2.19138 + 1.61879i
\(403\) 3.42554e6 + 3.42554e6i 1.05067 + 1.05067i
\(404\) −911508. 1.72102e6i −0.277848 0.524604i
\(405\) 316584. 316584.i 0.0959073 0.0959073i
\(406\) −35769.5 5375.41i −0.0107696 0.00161844i
\(407\) 1.33869e6i 0.400584i
\(408\) 109436. + 52525.2i 0.0325470 + 0.0156213i
\(409\) 4.46773e6i 1.32062i −0.750992 0.660311i \(-0.770424\pi\)
0.750992 0.660311i \(-0.229576\pi\)
\(410\) −369084. + 2.45599e6i −0.108434 + 0.721550i
\(411\) 6.15842e6 6.15842e6i 1.79831 1.79831i
\(412\) 2.64474e6 + 813266.i 0.767610 + 0.236042i
\(413\) 340508. + 340508.i 0.0982319 + 0.0982319i
\(414\) −2.13417e6 2.88906e6i −0.611968 0.828429i
\(415\) 2.22878e6 0.635252
\(416\) −2.40893e6 + 2.60761e6i −0.682481 + 0.738769i
\(417\) −7.08410e6 −1.99501
\(418\) −2.32325e6 3.14502e6i −0.650362 0.880404i
\(419\) 1.17941e6 + 1.17941e6i 0.328193 + 0.328193i 0.851899 0.523706i \(-0.175451\pi\)
−0.523706 + 0.851899i \(0.675451\pi\)
\(420\) 274886. + 84528.2i 0.0760378 + 0.0233818i
\(421\) −846196. + 846196.i −0.232684 + 0.232684i −0.813812 0.581128i \(-0.802611\pi\)
0.581128 + 0.813812i \(0.302611\pi\)
\(422\) 72050.6 479446.i 0.0196950 0.131056i
\(423\) 7.19692e6i 1.95567i
\(424\) 1.70025e6 3.54248e6i 0.459303 0.956958i
\(425\) 16223.9i 0.00435696i
\(426\) −5.86503e6 881390.i −1.56583 0.235312i
\(427\) −403110. + 403110.i −0.106993 + 0.106993i
\(428\) 147356. + 278222.i 0.0388828 + 0.0734146i
\(429\) 3.49204e6 + 3.49204e6i 0.916086 + 0.916086i
\(430\) 1.81111e6 1.33788e6i 0.472360 0.348936i
\(431\) −3.51459e6 −0.911342 −0.455671 0.890148i \(-0.650601\pi\)
−0.455671 + 0.890148i \(0.650601\pi\)
\(432\) −4.71216e6 + 900120.i −1.21482 + 0.232055i
\(433\) −2.50659e6 −0.642485 −0.321243 0.946997i \(-0.604101\pi\)
−0.321243 + 0.946997i \(0.604101\pi\)
\(434\) −500504. + 369727.i −0.127551 + 0.0942229i
\(435\) 209839. + 209839.i 0.0531695 + 0.0531695i
\(436\) −4.67976e6 + 2.47856e6i −1.17898 + 0.624429i
\(437\) −2.34448e6 + 2.34448e6i −0.587277 + 0.587277i
\(438\) −126030. 18939.7i −0.0313898 0.00471723i
\(439\) 7.36523e6i 1.82400i −0.410189 0.912001i \(-0.634537\pi\)
0.410189 0.912001i \(-0.365463\pi\)
\(440\) −467985. 1.33182e6i −0.115239 0.327955i
\(441\) 7.04993e6i 1.72619i
\(442\) −13373.8 + 88992.9i −0.00325610 + 0.0216670i
\(443\) 707148. 707148.i 0.171199 0.171199i −0.616307 0.787506i \(-0.711372\pi\)
0.787506 + 0.616307i \(0.211372\pi\)
\(444\) −1.04274e6 + 3.39098e6i −0.251025 + 0.816334i
\(445\) 906962. + 906962.i 0.217115 + 0.217115i
\(446\) −962502. 1.30295e6i −0.229121 0.310164i
\(447\) 7.99793e6 1.89325
\(448\) −285238. 355760.i −0.0671448 0.0837457i
\(449\) −3.60308e6 −0.843449 −0.421724 0.906724i \(-0.638575\pi\)
−0.421724 + 0.906724i \(0.638575\pi\)
\(450\) −891444. 1.20676e6i −0.207521 0.280925i
\(451\) −3.87354e6 3.87354e6i −0.896741 0.896741i
\(452\) −303291. + 986303.i −0.0698253 + 0.227072i
\(453\) 7.31740e6 7.31740e6i 1.67537 1.67537i
\(454\) 206833. 1.37632e6i 0.0470955 0.313387i
\(455\) 213206.i 0.0482803i
\(456\) 3.43521e6 + 9.77615e6i 0.773644 + 2.20169i
\(457\) 4.29166e6i 0.961246i −0.876927 0.480623i \(-0.840411\pi\)
0.876927 0.480623i \(-0.159589\pi\)
\(458\) −5.30053e6 796559.i −1.18074 0.177441i
\(459\) −85993.0 + 85993.0i −0.0190516 + 0.0190516i
\(460\) −1.05782e6 + 560259.i −0.233087 + 0.123451i
\(461\) 3.12730e6 + 3.12730e6i 0.685358 + 0.685358i 0.961202 0.275845i \(-0.0889575\pi\)
−0.275845 + 0.961202i \(0.588958\pi\)
\(462\) −510221. + 376905.i −0.111213 + 0.0821536i
\(463\) −3.19121e6 −0.691836 −0.345918 0.938265i \(-0.612433\pi\)
−0.345918 + 0.938265i \(0.612433\pi\)
\(464\) −88283.8 462169.i −0.0190365 0.0996565i
\(465\) 5.10513e6 1.09490
\(466\) −3.89090e6 + 2.87424e6i −0.830014 + 0.613138i
\(467\) 1.85914e6 + 1.85914e6i 0.394476 + 0.394476i 0.876279 0.481803i \(-0.160018\pi\)
−0.481803 + 0.876279i \(0.660018\pi\)
\(468\) −3.89507e6 7.35427e6i −0.822055 1.55212i
\(469\) 594402. 594402.i 0.124781 0.124781i
\(470\) 2.37184e6 + 356438.i 0.495268 + 0.0744284i
\(471\) 8.91609e6i 1.85192i
\(472\) −2.71052e6 + 5.64737e6i −0.560012 + 1.16679i
\(473\) 4.96652e6i 1.02070i
\(474\) −1.89209e6 + 1.25905e7i −0.386809 + 2.57394i
\(475\) −979290. + 979290.i −0.199149 + 0.199149i
\(476\) −11048.7 3397.50i −0.00223508 0.000687293i
\(477\) 6.51346e6 + 6.51346e6i 1.31074 + 1.31074i
\(478\) 4.19834e6 + 5.68335e6i 0.840442 + 1.13772i
\(479\) 1.42822e6 0.284418 0.142209 0.989837i \(-0.454579\pi\)
0.142209 + 0.989837i \(0.454579\pi\)
\(480\) 148047. + 3.73811e6i 0.0293289 + 0.740541i
\(481\) −2.63009e6 −0.518333
\(482\) −2.48232e6 3.36035e6i −0.486676 0.658820i
\(483\) 380349. + 380349.i 0.0741848 + 0.0741848i
\(484\) −1.94984e6 599581.i −0.378343 0.116341i
\(485\) −2.07737e6 + 2.07737e6i −0.401015 + 0.401015i
\(486\) −568121. + 3.78044e6i −0.109106 + 0.726025i
\(487\) 6.60517e6i 1.26201i −0.775780 0.631003i \(-0.782643\pi\)
0.775780 0.631003i \(-0.217357\pi\)
\(488\) −6.68563e6 3.20884e6i −1.27085 0.609957i
\(489\) 4.74356e6i 0.897082i
\(490\) 2.32339e6 + 349157.i 0.437152 + 0.0656948i
\(491\) −65912.2 + 65912.2i −0.0123385 + 0.0123385i −0.713249 0.700911i \(-0.752777\pi\)
0.700911 + 0.713249i \(0.252777\pi\)
\(492\) 6.79473e6 + 1.28291e7i 1.26549 + 2.38937i
\(493\) −8434.19 8434.19i −0.00156288 0.00156288i
\(494\) −6.17895e6 + 4.56444e6i −1.13919 + 0.841531i
\(495\) 3.30925e6 0.607039
\(496\) −6.69593e6 4.54809e6i −1.22210 0.830090i
\(497\) 564769. 0.102560
\(498\) 1.04790e7 7.74089e6i 1.89341 1.39868i
\(499\) 3.20050e6 + 3.20050e6i 0.575396 + 0.575396i 0.933631 0.358235i \(-0.116621\pi\)
−0.358235 + 0.933631i \(0.616621\pi\)
\(500\) −441853. + 234020.i −0.0790411 + 0.0418628i
\(501\) −5.42981e6 + 5.42981e6i −0.966474 + 0.966474i
\(502\) 1.42545e6 + 214215.i 0.252459 + 0.0379394i
\(503\) 2.12538e6i 0.374555i 0.982307 + 0.187278i \(0.0599664\pi\)
−0.982307 + 0.187278i \(0.940034\pi\)
\(504\) 1.00850e6 354373.i 0.176848 0.0621419i
\(505\) 1.52148e6i 0.265484i
\(506\) 392375. 2.61098e6i 0.0681280 0.453343i
\(507\) 78409.2 78409.2i 0.0135471 0.0135471i
\(508\) 2.93950e6 9.55928e6i 0.505376 1.64349i
\(509\) 6.65339e6 + 6.65339e6i 1.13828 + 1.13828i 0.988759 + 0.149519i \(0.0477726\pi\)
0.149519 + 0.988759i \(0.452227\pi\)
\(510\) 56348.2 + 76279.4i 0.00959301 + 0.0129862i
\(511\) 12136.0 0.00205600
\(512\) 3.13605e6 5.03483e6i 0.528699 0.848809i
\(513\) −1.03812e7 −1.74163
\(514\) −4.49319e6 6.08250e6i −0.750149 1.01549i
\(515\) 1.52854e6 + 1.52854e6i 0.253957 + 0.253957i
\(516\) 3.86854e6 1.25805e7i 0.639622 2.08005i
\(517\) −3.74082e6 + 3.74082e6i −0.615518 + 0.615518i
\(518\) 50204.8 334077.i 0.00822093 0.0547044i
\(519\) 6.86661e6i 1.11898i
\(520\) −2.61660e6 + 919440.i −0.424355 + 0.149113i
\(521\) 6.43393e6i 1.03844i −0.854640 0.519220i \(-0.826222\pi\)
0.854640 0.519220i \(-0.173778\pi\)
\(522\) 1.09078e6 + 163921.i 0.175210 + 0.0263304i
\(523\) −5.14301e6 + 5.14301e6i −0.822172 + 0.822172i −0.986419 0.164247i \(-0.947481\pi\)
0.164247 + 0.986419i \(0.447481\pi\)
\(524\) −5.81439e6 + 3.07950e6i −0.925073 + 0.489950i
\(525\) 158872. + 158872.i 0.0251564 + 0.0251564i
\(526\) 1.20847e6 892711.i 0.190447 0.140685i
\(527\) −205194. −0.0321839
\(528\) −6.82594e6 4.63639e6i −1.06556 0.723762i
\(529\) 4.19747e6 0.652151
\(530\) 2.46918e6 1.82401e6i 0.381824 0.282057i
\(531\) −1.03837e7 1.03837e7i −1.59814 1.59814i
\(532\) −461833. 871985.i −0.0707466 0.133577i
\(533\) −7.61027e6 + 7.61027e6i −1.16033 + 1.16033i
\(534\) 7.41425e6 + 1.11421e6i 1.12516 + 0.169088i
\(535\) 245965.i 0.0371526i
\(536\) 9.85823e6 + 4.73157e6i 1.48213 + 0.711366i
\(537\) 1.34490e7i 2.01259i
\(538\) 624503. 4.15562e6i 0.0930205 0.618985i
\(539\) −3.66442e6 + 3.66442e6i −0.543292 + 0.543292i
\(540\) −3.58239e6 1.10160e6i −0.528675 0.162569i
\(541\) −6.17708e6 6.17708e6i −0.907381 0.907381i 0.0886790 0.996060i \(-0.471735\pi\)
−0.996060 + 0.0886790i \(0.971735\pi\)
\(542\) 1.35849e6 + 1.83901e6i 0.198636 + 0.268896i
\(543\) −2.88434e6 −0.419804
\(544\) −5950.54 150248.i −0.000862103 0.0217677i
\(545\) −4.13719e6 −0.596643
\(546\) 740497. + 1.00242e6i 0.106302 + 0.143903i
\(547\) 5.33988e6 + 5.33988e6i 0.763068 + 0.763068i 0.976876 0.213808i \(-0.0685866\pi\)
−0.213808 + 0.976876i \(0.568587\pi\)
\(548\) −1.03119e7 3.17093e6i −1.46685 0.451060i
\(549\) 1.22927e7 1.22927e7i 1.74067 1.74067i
\(550\) 163895. 1.09061e6i 0.0231025 0.153731i
\(551\) 1.01819e6i 0.142873i
\(552\) −3.02766e6 + 6.30814e6i −0.422922 + 0.881158i
\(553\) 1.21240e6i 0.168590i
\(554\) 2.84422e6 + 427427.i 0.393722 + 0.0591681i
\(555\) −1.95984e6 + 1.95984e6i −0.270077 + 0.270077i
\(556\) 4.10715e6 + 7.75470e6i 0.563448 + 1.06384i
\(557\) −1.67989e6 1.67989e6i −0.229426 0.229426i 0.583027 0.812453i \(-0.301868\pi\)
−0.812453 + 0.583027i \(0.801868\pi\)
\(558\) 1.52627e7 1.12747e7i 2.07513 1.53291i
\(559\) 9.75763e6 1.32073
\(560\) −66840.9 349915.i −0.00900684 0.0471511i
\(561\) −209178. −0.0280614
\(562\) 9.64570e6 7.12536e6i 1.28823 0.951625i
\(563\) 5.06107e6 + 5.06107e6i 0.672933 + 0.672933i 0.958391 0.285458i \(-0.0921458\pi\)
−0.285458 + 0.958391i \(0.592146\pi\)
\(564\) 1.23896e7 6.56192e6i 1.64005 0.868627i
\(565\) −570039. + 570039.i −0.0751248 + 0.0751248i
\(566\) 5.10181e6 + 766695.i 0.669396 + 0.100596i
\(567\) 249212.i 0.0325545i
\(568\) 2.43554e6 + 6.93123e6i 0.316756 + 0.901445i
\(569\) 8.18380e6i 1.05968i 0.848098 + 0.529839i \(0.177748\pi\)
−0.848098 + 0.529839i \(0.822252\pi\)
\(570\) −1.20306e6 + 8.00553e6i −0.155096 + 1.03205i
\(571\) −3.05274e6 + 3.05274e6i −0.391832 + 0.391832i −0.875340 0.483508i \(-0.839362\pi\)
0.483508 + 0.875340i \(0.339362\pi\)
\(572\) 1.79803e6 5.84719e6i 0.229777 0.747235i
\(573\) −2.93833e6 2.93833e6i −0.373865 0.373865i
\(574\) −821395. 1.11193e6i −0.104057 0.140864i
\(575\) −935180. −0.117957
\(576\) 8.69821e6 + 1.08488e7i 1.09238 + 1.36246i
\(577\) −4.77219e6 −0.596730 −0.298365 0.954452i \(-0.596441\pi\)
−0.298365 + 0.954452i \(0.596441\pi\)
\(578\) 4.77008e6 + 6.45732e6i 0.593890 + 0.803957i
\(579\) −9.92999e6 9.92999e6i −1.23098 1.23098i
\(580\) 108044. 351361.i 0.0133362 0.0433694i
\(581\) −877235. + 877235.i −0.107814 + 0.107814i
\(582\) −2.55206e6 + 1.69822e7i −0.312309 + 2.07819i
\(583\) 6.77114e6i 0.825069i
\(584\) 52335.9 + 148941.i 0.00634991 + 0.0180710i
\(585\) 6.50162e6i 0.785474i
\(586\) −6.41921e6 964672.i −0.772213 0.116047i
\(587\) −7.77494e6 + 7.77494e6i −0.931327 + 0.931327i −0.997789 0.0664624i \(-0.978829\pi\)
0.0664624 + 0.997789i \(0.478829\pi\)
\(588\) 1.21365e7 6.42790e6i 1.44760 0.766700i
\(589\) −1.23857e7 1.23857e7i −1.47107 1.47107i
\(590\) −3.93633e6 + 2.90780e6i −0.465545 + 0.343902i
\(591\) 2.22551e6 0.262097
\(592\) 4.31653e6 824546.i 0.506209 0.0966964i
\(593\) 1.63675e7 1.91137 0.955687 0.294384i \(-0.0951146\pi\)
0.955687 + 0.294384i \(0.0951146\pi\)
\(594\) 6.64934e6 4.91193e6i 0.773237 0.571197i
\(595\) −6385.65 6385.65i −0.000739456 0.000739456i
\(596\) −4.63696e6 8.75504e6i −0.534710 1.00958i
\(597\) 1.72386e7 1.72386e7i 1.97954 1.97954i
\(598\) −5.12974e6 770892.i −0.586600 0.0881537i
\(599\) 9.42265e6i 1.07302i −0.843895 0.536508i \(-0.819743\pi\)
0.843895 0.536508i \(-0.180257\pi\)
\(600\) −1.26466e6 + 2.63491e6i −0.143415 + 0.298805i
\(601\) 3.73432e6i 0.421722i −0.977516 0.210861i \(-0.932373\pi\)
0.977516 0.210861i \(-0.0676267\pi\)
\(602\) −186260. + 1.23942e6i −0.0209473 + 0.139389i
\(603\) −1.81260e7 + 1.81260e7i −2.03006 + 2.03006i
\(604\) −1.22525e7 3.76767e6i −1.36657 0.420224i
\(605\) −1.12692e6 1.12692e6i −0.125171 0.125171i
\(606\) −5.28435e6 7.15350e6i −0.584534 0.791292i
\(607\) −6.00207e6 −0.661195 −0.330598 0.943772i \(-0.607250\pi\)
−0.330598 + 0.943772i \(0.607250\pi\)
\(608\) 8.70996e6 9.42832e6i 0.955558 1.03437i
\(609\) −165183. −0.0180477
\(610\) −3.44240e6 4.66002e6i −0.374573 0.507064i
\(611\) 7.34952e6 + 7.34952e6i 0.796445 + 0.796445i
\(612\) 336925. + 103605.i 0.0363626 + 0.0111816i
\(613\) 7.64426e6 7.64426e6i 0.821645 0.821645i −0.164699 0.986344i \(-0.552665\pi\)
0.986344 + 0.164699i \(0.0526652\pi\)
\(614\) 274975. 1.82976e6i 0.0294355 0.195872i
\(615\) 1.13417e7i 1.20918i
\(616\) 708395. + 340002.i 0.0752183 + 0.0361019i
\(617\) 1.13245e7i 1.19759i 0.800903 + 0.598794i \(0.204353\pi\)
−0.800903 + 0.598794i \(0.795647\pi\)
\(618\) 1.24956e7 + 1.87782e6i 1.31609 + 0.197781i
\(619\) 9.72348e6 9.72348e6i 1.01999 1.01999i 0.0201917 0.999796i \(-0.493572\pi\)
0.999796 0.0201917i \(-0.00642766\pi\)
\(620\) −2.95980e6 5.58840e6i −0.309232 0.583859i
\(621\) −4.95682e6 4.95682e6i −0.515791 0.515791i
\(622\) −4.92909e6 + 3.64116e6i −0.510847 + 0.377367i
\(623\) −713951. −0.0736968
\(624\) −9.10903e6 + 1.34108e7i −0.936507 + 1.37877i
\(625\) −390625. −0.0400000
\(626\) −1.10340e7 + 8.15094e6i −1.12538 + 0.831327i
\(627\) −1.26262e7 1.26262e7i −1.28263 1.28263i
\(628\) −9.76011e6 + 5.16928e6i −0.987542 + 0.523036i
\(629\) 78773.0 78773.0i 0.00793873 0.00793873i
\(630\) 825843. + 124107.i 0.0828984 + 0.0124579i
\(631\) 6.32498e6i 0.632392i 0.948694 + 0.316196i \(0.102406\pi\)
−0.948694 + 0.316196i \(0.897594\pi\)
\(632\) 1.48794e7 5.22841e6i 1.48181 0.520687i
\(633\) 2.21407e6i 0.219625i
\(634\) −714652. + 4.75550e6i −0.0706108 + 0.469865i
\(635\) 5.52484e6 5.52484e6i 0.543732 0.543732i
\(636\) 5.27420e6 1.71517e7i 0.517028 1.68138i
\(637\) 7.19941e6 + 7.19941e6i 0.702988 + 0.702988i
\(638\) 481762. + 652168.i 0.0468577 + 0.0634319i
\(639\) −1.72224e7 −1.66856
\(640\) 4.00614e6 2.32931e6i 0.386613 0.224790i
\(641\) 1.14227e7 1.09805 0.549025 0.835806i \(-0.314999\pi\)
0.549025 + 0.835806i \(0.314999\pi\)
\(642\) 854276. + 1.15644e6i 0.0818014 + 0.110736i
\(643\) 6.23986e6 + 6.23986e6i 0.595179 + 0.595179i 0.939026 0.343847i \(-0.111730\pi\)
−0.343847 + 0.939026i \(0.611730\pi\)
\(644\) 195839. 636869.i 0.0186073 0.0605112i
\(645\) 7.27098e6 7.27098e6i 0.688167 0.688167i
\(646\) 48355.5 321771.i 0.00455895 0.0303366i
\(647\) 1.32619e7i 1.24550i −0.782420 0.622751i \(-0.786015\pi\)
0.782420 0.622751i \(-0.213985\pi\)
\(648\) −3.05849e6 + 1.07471e6i −0.286135 + 0.100544i
\(649\) 1.07944e7i 1.00598i
\(650\) −2.14269e6 322002.i −0.198919 0.0298934i
\(651\) −2.00935e6 + 2.00935e6i −0.185825 + 0.185825i
\(652\) −5.19260e6 + 2.75017e6i −0.478372 + 0.253362i
\(653\) −6.10202e6 6.10202e6i −0.560003 0.560003i 0.369305 0.929308i \(-0.379596\pi\)
−0.929308 + 0.369305i \(0.879596\pi\)
\(654\) −1.94517e7 + 1.43691e7i −1.77833 + 1.31367i
\(655\) −5.14027e6 −0.468148
\(656\) 1.01042e7 1.48759e7i 0.916730 1.34966i
\(657\) −370082. −0.0334491
\(658\) −1.07384e6 + 793252.i −0.0966881 + 0.0714243i
\(659\) 7.32830e6 + 7.32830e6i 0.657339 + 0.657339i 0.954750 0.297411i \(-0.0961230\pi\)
−0.297411 + 0.954750i \(0.596123\pi\)
\(660\) −3.01727e6 5.69690e6i −0.269621 0.509071i
\(661\) −1.04059e7 + 1.04059e7i −0.926356 + 0.926356i −0.997468 0.0711126i \(-0.977345\pi\)
0.0711126 + 0.997468i \(0.477345\pi\)
\(662\) 4.04199e6 + 607426.i 0.358468 + 0.0538702i
\(663\) 410968.i 0.0363098i
\(664\) −1.45491e7 6.98298e6i −1.28060 0.614640i
\(665\) 770888.i 0.0675985i
\(666\) −1.53098e6 + 1.01875e7i −0.133747 + 0.889988i
\(667\) 486164. 486164.i 0.0423125 0.0423125i
\(668\) 9.09185e6 + 2.79577e6i 0.788335 + 0.242415i
\(669\) −5.23091e6 5.23091e6i −0.451869 0.451869i
\(670\) 5.07595e6 + 6.87139e6i 0.436848 + 0.591368i
\(671\) 1.27790e7 1.09570
\(672\) −1.52957e6 1.41303e6i −0.130661 0.120706i
\(673\) −9.64151e6 −0.820554 −0.410277 0.911961i \(-0.634568\pi\)
−0.410277 + 0.911961i \(0.634568\pi\)
\(674\) −8.63877e6 1.16944e7i −0.732491 0.991583i
\(675\) −2.07046e6 2.07046e6i −0.174907 0.174907i
\(676\) −131291. 40372.3i −0.0110501 0.00339795i
\(677\) 7.87407e6 7.87407e6i 0.660279 0.660279i −0.295167 0.955446i \(-0.595375\pi\)
0.955446 + 0.295167i \(0.0953752\pi\)
\(678\) −700296. + 4.65997e6i −0.0585069 + 0.389322i
\(679\) 1.63529e6i 0.136119i
\(680\) 50831.2 105907.i 0.00421558 0.00878318i
\(681\) 6.35584e6i 0.525176i
\(682\) 1.37936e7 + 2.07289e6i 1.13558 + 0.170653i
\(683\) −6.41872e6 + 6.41872e6i −0.526498 + 0.526498i −0.919526 0.393028i \(-0.871427\pi\)
0.393028 + 0.919526i \(0.371427\pi\)
\(684\) 1.40834e7 + 2.65908e7i 1.15098 + 2.17316i
\(685\) −5.95980e6 5.95980e6i −0.485294 0.485294i
\(686\) −2.11607e6 + 1.56316e6i −0.171680 + 0.126821i
\(687\) −2.44778e7 −1.97870
\(688\) −1.60143e7 + 3.05906e6i −1.28984 + 0.246386i
\(689\) 1.33031e7 1.06759
\(690\) −4.39690e6 + 3.24803e6i −0.351580 + 0.259715i
\(691\) 5.22227e6 + 5.22227e6i 0.416068 + 0.416068i 0.883846 0.467778i \(-0.154945\pi\)
−0.467778 + 0.883846i \(0.654945\pi\)
\(692\) −7.51662e6 + 3.98105e6i −0.596702 + 0.316033i
\(693\) −1.30250e6 + 1.30250e6i −0.103026 + 0.103026i
\(694\) 1.01446e7 + 1.52451e6i 0.799529 + 0.120152i
\(695\) 6.85562e6i 0.538375i
\(696\) −712344. 2.02724e6i −0.0557400 0.158629i
\(697\) 455865.i 0.0355430i
\(698\) 1.05607e6 7.02737e6i 0.0820451 0.545952i
\(699\) −1.56207e7 + 1.56207e7i −1.20922 + 1.20922i
\(700\) 81802.0 266021.i 0.00630985 0.0205197i
\(701\) 6.26872e6 + 6.26872e6i 0.481819 + 0.481819i 0.905712 0.423894i \(-0.139337\pi\)
−0.423894 + 0.905712i \(0.639337\pi\)
\(702\) −9.65037e6 1.30638e7i −0.739096 1.00052i
\(703\) 9.50963e6 0.725730
\(704\) −1.11781e6 + 1.01601e7i −0.0850038 + 0.772624i
\(705\) 1.09531e7 0.829974
\(706\) 2.71106e6 + 3.67000e6i 0.204705 + 0.277111i
\(707\) 598848. + 598848.i 0.0450576 + 0.0450576i
\(708\) −8.40805e6 + 2.73430e7i −0.630394 + 2.05004i
\(709\) −9.04563e6 + 9.04563e6i −0.675808 + 0.675808i −0.959049 0.283241i \(-0.908590\pi\)
0.283241 + 0.959049i \(0.408590\pi\)
\(710\) −852964. + 5.67587e6i −0.0635016 + 0.422558i
\(711\) 3.69715e7i 2.74280i
\(712\) −3.07888e6 8.76209e6i −0.227611 0.647750i
\(713\) 1.18278e7i 0.871326i
\(714\) −52201.5 7844.80i −0.00383211 0.000575886i
\(715\) 3.37942e6 3.37942e6i 0.247216 0.247216i
\(716\) 1.47222e7 7.79735e6i 1.07322 0.568414i
\(717\) 2.28167e7 + 2.28167e7i 1.65751 + 1.65751i
\(718\) 1.41967e7 1.04872e7i 1.02772 0.759186i
\(719\) 6.51627e6 0.470085 0.235043 0.971985i \(-0.424477\pi\)
0.235043 + 0.971985i \(0.424477\pi\)
\(720\) 2.03829e6 + 1.06705e7i 0.146532 + 0.767103i
\(721\) −1.20325e6 −0.0862024
\(722\) 1.10749e7 8.18112e6i 0.790673 0.584077i
\(723\) −1.34907e7 1.34907e7i −0.959815 0.959815i
\(724\) 1.67225e6 + 3.15738e6i 0.118565 + 0.223862i
\(725\) 203071. 203071.i 0.0143484 0.0143484i
\(726\) −9.21238e6 1.38443e6i −0.648680 0.0974829i
\(727\) 2.20343e7i 1.54619i 0.634290 + 0.773095i \(0.281293\pi\)
−0.634290 + 0.773095i \(0.718707\pi\)
\(728\) 667995. 1.39177e6i 0.0467138 0.0973282i
\(729\) 2.18098e7i 1.51996i
\(730\) −18328.8 + 121965.i −0.00127300 + 0.00847088i
\(731\) −292247. + 292247.i −0.0202282 + 0.0202282i
\(732\) −3.23700e7 9.95385e6i −2.23288 0.686615i
\(733\) 3.96665e6 + 3.96665e6i 0.272687 + 0.272687i 0.830181 0.557494i \(-0.188237\pi\)
−0.557494 + 0.830181i \(0.688237\pi\)
\(734\) 7.96554e6 + 1.07831e7i 0.545726 + 0.738757i
\(735\) 1.07294e7 0.732583
\(736\) 8.66064e6 343002.i 0.589325 0.0233400i
\(737\) −1.88431e7 −1.27786
\(738\) 2.50481e7 + 3.39080e7i 1.69291 + 2.29172i
\(739\) 1.60917e7 + 1.60917e7i 1.08391 + 1.08391i 0.996141 + 0.0877647i \(0.0279724\pi\)
0.0877647 + 0.996141i \(0.472028\pi\)
\(740\) 3.28161e6 + 1.00911e6i 0.220297 + 0.0677419i
\(741\) −2.48064e7 + 2.48064e7i −1.65966 + 1.65966i
\(742\) −253938. + 1.68978e6i −0.0169324 + 0.112673i
\(743\) 9.94157e6i 0.660667i −0.943864 0.330334i \(-0.892839\pi\)
0.943864 0.330334i \(-0.107161\pi\)
\(744\) −3.33254e7 1.59949e7i −2.20721 1.05937i
\(745\) 7.73998e6i 0.510916i
\(746\) −4.69093e6 704949.i −0.308612 0.0463779i
\(747\) 2.67509e7 2.67509e7i 1.75403 1.75403i
\(748\) 121275. + 228979.i 0.00792534 + 0.0149638i
\(749\) −96810.6 96810.6i −0.00630548 0.00630548i
\(750\) −1.83659e6 + 1.35670e6i −0.119223 + 0.0880707i
\(751\) 1.68342e7 1.08916 0.544582 0.838708i \(-0.316688\pi\)
0.544582 + 0.838708i \(0.316688\pi\)
\(752\) −1.43662e7 9.75797e6i −0.926396 0.629238i
\(753\) 6.58268e6 0.423073
\(754\) 1.28130e6 946508.i 0.0820773 0.0606312i
\(755\) −7.08140e6 7.08140e6i −0.452118 0.452118i
\(756\) 1.84359e6 976429.i 0.117317 0.0621350i
\(757\) −9.43078e6 + 9.43078e6i −0.598147 + 0.598147i −0.939819 0.341672i \(-0.889007\pi\)
0.341672 + 0.939819i \(0.389007\pi\)
\(758\) −1.23257e7 1.85230e6i −0.779183 0.117095i
\(759\) 1.20575e7i 0.759716i
\(760\) 9.46085e6 3.32442e6i 0.594150 0.208776i
\(761\) 7.83368e6i 0.490348i 0.969479 + 0.245174i \(0.0788450\pi\)
−0.969479 + 0.245174i \(0.921155\pi\)
\(762\) 6.78729e6 4.51646e7i 0.423457 2.81780i
\(763\) 1.62838e6 1.62838e6i 0.101261 0.101261i
\(764\) −1.51293e6 + 4.92005e6i −0.0937745 + 0.304955i
\(765\) 194728. + 194728.i 0.0120302 + 0.0120302i
\(766\) 5.83648e6 + 7.90092e6i 0.359401 + 0.486526i
\(767\) −2.12076e7 −1.30168
\(768\) 1.07455e7 2.48656e7i 0.657389 1.52123i
\(769\) 3.02031e7 1.84177 0.920887 0.389830i \(-0.127466\pi\)
0.920887 + 0.389830i \(0.127466\pi\)
\(770\) 364749. + 493766.i 0.0221701 + 0.0300119i
\(771\) −2.44192e7 2.44192e7i −1.47943 1.47943i