Properties

Label 43.7.h.a.18.9
Level $43$
Weight $7$
Character 43.18
Analytic conductor $9.892$
Analytic rank $0$
Dimension $252$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.h (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(252\)
Relative dimension: \(21\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 18.9
Character \(\chi\) \(=\) 43.18
Dual form 43.7.h.a.12.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.60125 + 3.32504i) q^{2} +(-14.5501 + 21.3411i) q^{3} +(31.4115 + 39.3888i) q^{4} +(42.5700 + 45.8796i) q^{5} +(-47.6616 - 82.5522i) q^{6} +(440.964 + 254.590i) q^{7} +(-411.538 + 93.9308i) q^{8} +(22.5967 + 57.5754i) q^{9} +O(q^{10})\) \(q+(-1.60125 + 3.32504i) q^{2} +(-14.5501 + 21.3411i) q^{3} +(31.4115 + 39.3888i) q^{4} +(42.5700 + 45.8796i) q^{5} +(-47.6616 - 82.5522i) q^{6} +(440.964 + 254.590i) q^{7} +(-411.538 + 93.9308i) q^{8} +(22.5967 + 57.5754i) q^{9} +(-220.717 + 68.0821i) q^{10} +(409.031 - 512.909i) q^{11} +(-1297.64 + 97.2447i) q^{12} +(-2196.86 - 677.643i) q^{13} +(-1552.62 + 1058.56i) q^{14} +(-1598.52 + 240.938i) q^{15} +(-370.827 + 1624.70i) q^{16} +(2211.57 + 2052.04i) q^{17} +(-227.623 - 17.0580i) q^{18} +(-9954.54 - 3906.87i) q^{19} +(-469.952 + 3117.93i) q^{20} +(-11849.3 + 5706.33i) q^{21} +(1050.48 + 2181.34i) q^{22} +(12451.4 + 1876.74i) q^{23} +(3983.34 - 10149.4i) q^{24} +(874.929 - 11675.1i) q^{25} +(5770.92 - 6219.57i) q^{26} +(-19914.9 - 4545.45i) q^{27} +(3823.32 + 25366.1i) q^{28} +(17776.1 + 26072.8i) q^{29} +(1758.51 - 5700.94i) q^{30} +(-1368.13 - 18256.5i) q^{31} +(-25930.2 - 20678.6i) q^{32} +(4994.59 + 16192.1i) q^{33} +(-10364.4 + 4067.73i) q^{34} +(7091.33 + 31069.1i) q^{35} +(-1558.03 + 2698.58i) q^{36} +(54459.7 - 31442.3i) q^{37} +(28930.2 - 26843.3i) q^{38} +(46426.3 - 37023.7i) q^{39} +(-21828.7 - 14882.5i) q^{40} +(37976.6 + 18288.5i) q^{41} -48536.7i q^{42} +(69505.6 + 38604.8i) q^{43} +33051.1 q^{44} +(-1679.59 + 3487.71i) q^{45} +(-26178.0 + 38396.1i) q^{46} +(-31196.6 - 39119.3i) q^{47} +(-29277.3 - 31553.5i) q^{48} +(70808.1 + 122643. i) q^{49} +(37419.2 + 21604.0i) q^{50} +(-75971.5 + 17340.0i) q^{51} +(-42315.2 - 107817. i) q^{52} +(-89077.7 + 27476.8i) q^{53} +(47002.6 - 58939.4i) q^{54} +(40944.5 - 3068.37i) q^{55} +(-205387. - 63353.5i) q^{56} +(228217. - 155595. i) q^{57} +(-115157. + 17357.1i) q^{58} +(-58668.0 + 257041. i) q^{59} +(-59702.2 - 55395.5i) q^{60} +(-182562. - 13681.1i) q^{61} +(62894.2 + 24684.2i) q^{62} +(-4693.83 + 31141.6i) q^{63} +(14185.2 - 6831.24i) q^{64} +(-62430.6 - 129638. i) q^{65} +(-61836.9 - 9320.41i) q^{66} +(-133193. + 339371. i) q^{67} +(-11358.5 + 151569. i) q^{68} +(-221221. + 238419. i) q^{69} +(-114661. - 26170.6i) q^{70} +(26162.0 + 173573. i) q^{71} +(-14707.5 - 21571.9i) q^{72} +(108489. - 351714. i) q^{73} +(17343.1 + 231427. i) q^{74} +(236430. + 188546. i) q^{75} +(-158800. - 514817. i) q^{76} +(310950. - 122039. i) q^{77} +(48765.0 + 213653. i) q^{78} +(191011. - 330840. i) q^{79} +(-90326.7 + 52150.2i) q^{80} +(353717. - 328201. i) q^{81} +(-121620. + 96988.9i) q^{82} +(780871. + 532389. i) q^{83} +(-596970. - 287486. i) q^{84} +188821. i q^{85} +(-239659. + 169293. i) q^{86} -815067. q^{87} +(-120154. + 249502. i) q^{88} +(-7718.07 + 11320.3i) q^{89} +(-8907.32 - 11169.4i) q^{90} +(-796215. - 858116. i) q^{91} +(317193. + 549395. i) q^{92} +(409520. + 236437. i) q^{93} +(180027. - 41090.0i) q^{94} +(-244519. - 623025. i) q^{95} +(818592. - 252502. i) q^{96} +(846503. - 1.06148e6i) q^{97} +(-521175. + 39056.7i) q^{98} +(38773.7 + 11960.1i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 252 q - 14 q^{2} - 11 q^{3} + 1180 q^{4} - 11 q^{5} - 118 q^{6} + 126 q^{7} - 2254 q^{8} - 8178 q^{9} + O(q^{10}) \) \( 252 q - 14 q^{2} - 11 q^{3} + 1180 q^{4} - 11 q^{5} - 118 q^{6} + 126 q^{7} - 2254 q^{8} - 8178 q^{9} + 967 q^{10} + 4090 q^{11} - 484 q^{12} + 1527 q^{13} + 7812 q^{14} - 8923 q^{15} - 13760 q^{16} - 3655 q^{17} + 5596 q^{18} + 38605 q^{19} + 26085 q^{20} + 24873 q^{21} - 25214 q^{22} + 27991 q^{23} - 20480 q^{24} - 24146 q^{25} - 34923 q^{26} - 14 q^{27} - 77634 q^{28} - 112735 q^{29} + 375072 q^{30} + 290647 q^{31} - 344064 q^{32} - 152174 q^{33} - 198311 q^{34} - 182471 q^{35} - 930891 q^{36} + 282762 q^{37} + 487342 q^{38} + 857290 q^{39} + 745459 q^{40} + 27674 q^{41} + 148802 q^{43} - 1255832 q^{44} - 191310 q^{45} - 1344785 q^{46} + 69166 q^{47} - 871241 q^{48} + 1786604 q^{49} + 837705 q^{50} - 182756 q^{51} + 2906416 q^{52} + 7779 q^{53} + 487154 q^{54} - 529592 q^{55} - 2464007 q^{56} - 767855 q^{57} - 1523780 q^{58} + 1531338 q^{59} - 1858647 q^{60} + 646957 q^{61} - 448559 q^{62} - 2007847 q^{63} + 3937366 q^{64} - 1473542 q^{65} + 1513319 q^{66} - 575523 q^{67} + 2717157 q^{68} + 967041 q^{69} + 4624473 q^{70} - 2149319 q^{71} - 9986371 q^{72} - 514565 q^{73} - 882972 q^{74} - 6655138 q^{75} + 1152658 q^{76} - 341803 q^{77} + 6322388 q^{78} - 2476742 q^{79} + 10750038 q^{80} + 4308941 q^{81} + 5079172 q^{82} + 2318609 q^{83} + 5578407 q^{84} + 585292 q^{86} - 1990710 q^{87} - 2864890 q^{88} - 4561993 q^{89} - 17681545 q^{90} - 4648506 q^{91} - 1991714 q^{92} - 8868294 q^{93} - 10200218 q^{94} + 10091737 q^{95} + 6250318 q^{96} - 1676750 q^{97} + 7512700 q^{98} + 18452884 q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{29}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.60125 + 3.32504i −0.200157 + 0.415630i −0.976753 0.214369i \(-0.931230\pi\)
0.776596 + 0.629999i \(0.216945\pi\)
\(3\) −14.5501 + 21.3411i −0.538893 + 0.790412i −0.995038 0.0994941i \(-0.968278\pi\)
0.456145 + 0.889906i \(0.349230\pi\)
\(4\) 31.4115 + 39.3888i 0.490805 + 0.615449i
\(5\) 42.5700 + 45.8796i 0.340560 + 0.367037i 0.879989 0.474995i \(-0.157550\pi\)
−0.539428 + 0.842032i \(0.681360\pi\)
\(6\) −47.6616 82.5522i −0.220655 0.382186i
\(7\) 440.964 + 254.590i 1.28561 + 0.742246i 0.977868 0.209224i \(-0.0670938\pi\)
0.307740 + 0.951470i \(0.400427\pi\)
\(8\) −411.538 + 93.9308i −0.803785 + 0.183459i
\(9\) 22.5967 + 57.5754i 0.0309968 + 0.0789786i
\(10\) −220.717 + 68.0821i −0.220717 + 0.0680821i
\(11\) 409.031 512.909i 0.307311 0.385356i −0.604062 0.796938i \(-0.706452\pi\)
0.911373 + 0.411581i \(0.135023\pi\)
\(12\) −1297.64 + 97.2447i −0.750950 + 0.0562759i
\(13\) −2196.86 677.643i −0.999938 0.308440i −0.248778 0.968561i \(-0.580029\pi\)
−0.751160 + 0.660121i \(0.770505\pi\)
\(14\) −1552.62 + 1058.56i −0.565823 + 0.385771i
\(15\) −1598.52 + 240.938i −0.473636 + 0.0713891i
\(16\) −370.827 + 1624.70i −0.0905340 + 0.396656i
\(17\) 2211.57 + 2052.04i 0.450147 + 0.417676i 0.872393 0.488806i \(-0.162567\pi\)
−0.422245 + 0.906482i \(0.638758\pi\)
\(18\) −227.623 17.0580i −0.0390301 0.00292490i
\(19\) −9954.54 3906.87i −1.45131 0.569597i −0.496824 0.867851i \(-0.665500\pi\)
−0.954487 + 0.298254i \(0.903596\pi\)
\(20\) −469.952 + 3117.93i −0.0587440 + 0.389741i
\(21\) −11849.3 + 5706.33i −1.27949 + 0.616168i
\(22\) 1050.48 + 2181.34i 0.0986551 + 0.204859i
\(23\) 12451.4 + 1876.74i 1.02337 + 0.154248i 0.639222 0.769022i \(-0.279256\pi\)
0.384150 + 0.923271i \(0.374495\pi\)
\(24\) 3983.34 10149.4i 0.288147 0.734185i
\(25\) 874.929 11675.1i 0.0559955 0.747208i
\(26\) 5770.92 6219.57i 0.328341 0.353867i
\(27\) −19914.9 4545.45i −1.01178 0.230933i
\(28\) 3823.32 + 25366.1i 0.174167 + 1.15552i
\(29\) 17776.1 + 26072.8i 0.728859 + 1.06904i 0.994476 + 0.104961i \(0.0334717\pi\)
−0.265618 + 0.964078i \(0.585576\pi\)
\(30\) 1758.51 5700.94i 0.0651299 0.211146i
\(31\) −1368.13 18256.5i −0.0459244 0.612819i −0.971924 0.235294i \(-0.924395\pi\)
0.926000 0.377524i \(-0.123225\pi\)
\(32\) −25930.2 20678.6i −0.791326 0.631062i
\(33\) 4994.59 + 16192.1i 0.138982 + 0.450568i
\(34\) −10364.4 + 4067.73i −0.263698 + 0.103494i
\(35\) 7091.33 + 31069.1i 0.165395 + 0.724645i
\(36\) −1558.03 + 2698.58i −0.0333940 + 0.0578400i
\(37\) 54459.7 31442.3i 1.07515 0.620739i 0.145567 0.989348i \(-0.453499\pi\)
0.929584 + 0.368609i \(0.120166\pi\)
\(38\) 28930.2 26843.3i 0.527231 0.489199i
\(39\) 46426.3 37023.7i 0.782654 0.624146i
\(40\) −21828.7 14882.5i −0.341073 0.232540i
\(41\) 37976.6 + 18288.5i 0.551016 + 0.265355i 0.688608 0.725134i \(-0.258222\pi\)
−0.137592 + 0.990489i \(0.543936\pi\)
\(42\) 48536.7i 0.655122i
\(43\) 69505.6 + 38604.8i 0.874208 + 0.485552i
\(44\) 33051.1 0.387997
\(45\) −1679.59 + 3487.71i −0.0184318 + 0.0382739i
\(46\) −26178.0 + 38396.1i −0.268945 + 0.394470i
\(47\) −31196.6 39119.3i −0.300479 0.376789i 0.608554 0.793512i \(-0.291750\pi\)
−0.909033 + 0.416724i \(0.863178\pi\)
\(48\) −29277.3 31553.5i −0.264733 0.285314i
\(49\) 70808.1 + 122643.i 0.601859 + 1.04245i
\(50\) 37419.2 + 21604.0i 0.299354 + 0.172832i
\(51\) −75971.5 + 17340.0i −0.572717 + 0.130719i
\(52\) −42315.2 107817.i −0.300945 0.766795i
\(53\) −89077.7 + 27476.8i −0.598331 + 0.184561i −0.579103 0.815255i \(-0.696597\pi\)
−0.0192280 + 0.999815i \(0.506121\pi\)
\(54\) 47002.6 58939.4i 0.298498 0.374304i
\(55\) 40944.5 3068.37i 0.246098 0.0184425i
\(56\) −205387. 63353.5i −1.16952 0.360750i
\(57\) 228217. 155595.i 1.23232 0.840180i
\(58\) −115157. + 17357.1i −0.590210 + 0.0889599i
\(59\) −58668.0 + 257041.i −0.285657 + 1.25155i 0.604763 + 0.796406i \(0.293268\pi\)
−0.890420 + 0.455140i \(0.849589\pi\)
\(60\) −59702.2 55395.5i −0.276399 0.256461i
\(61\) −182562. 13681.1i −0.804305 0.0602743i −0.333769 0.942655i \(-0.608320\pi\)
−0.470536 + 0.882381i \(0.655939\pi\)
\(62\) 62894.2 + 24684.2i 0.263898 + 0.103572i
\(63\) −4693.83 + 31141.6i −0.0187718 + 0.124543i
\(64\) 14185.2 6831.24i 0.0541123 0.0260591i
\(65\) −62430.6 129638.i −0.227330 0.472056i
\(66\) −61836.9 9320.41i −0.215088 0.0324193i
\(67\) −133193. + 339371.i −0.442851 + 1.12837i 0.518996 + 0.854777i \(0.326306\pi\)
−0.961847 + 0.273589i \(0.911789\pi\)
\(68\) −11358.5 + 151569.i −0.0361239 + 0.482040i
\(69\) −221221. + 238419.i −0.673408 + 0.725761i
\(70\) −114661. 26170.6i −0.334289 0.0762992i
\(71\) 26162.0 + 173573.i 0.0730963 + 0.484962i 0.995187 + 0.0979894i \(0.0312411\pi\)
−0.922091 + 0.386973i \(0.873521\pi\)
\(72\) −14707.5 21571.9i −0.0394041 0.0577952i
\(73\) 108489. 351714.i 0.278881 0.904110i −0.702442 0.711741i \(-0.747907\pi\)
0.981323 0.192369i \(-0.0616170\pi\)
\(74\) 17343.1 + 231427.i 0.0427988 + 0.571110i
\(75\) 236430. + 188546.i 0.560426 + 0.446925i
\(76\) −158800. 514817.i −0.361751 1.17277i
\(77\) 310950. 122039.i 0.681111 0.267316i
\(78\) 48765.0 + 213653.i 0.102760 + 0.450221i
\(79\) 191011. 330840.i 0.387415 0.671022i −0.604686 0.796464i \(-0.706701\pi\)
0.992101 + 0.125442i \(0.0400348\pi\)
\(80\) −90326.7 + 52150.2i −0.176419 + 0.101856i
\(81\) 353717. 328201.i 0.665580 0.617568i
\(82\) −121620. + 96988.9i −0.220579 + 0.175906i
\(83\) 780871. + 532389.i 1.36567 + 0.931096i 1.00000 0.000350583i \(0.000111594\pi\)
0.365667 + 0.930746i \(0.380841\pi\)
\(84\) −596970. 287486.i −1.00720 0.485041i
\(85\) 188821.i 0.307464i
\(86\) −239659. + 169293.i −0.376788 + 0.266160i
\(87\) −815067. −1.23776
\(88\) −120154. + 249502.i −0.176315 + 0.366122i
\(89\) −7718.07 + 11320.3i −0.0109481 + 0.0160579i −0.831674 0.555264i \(-0.812617\pi\)
0.820726 + 0.571322i \(0.193569\pi\)
\(90\) −8907.32 11169.4i −0.0122185 0.0153216i
\(91\) −796215. 858116.i −1.05659 1.13873i
\(92\) 317193. + 549395.i 0.407343 + 0.705539i
\(93\) 409520. + 236437.i 0.509127 + 0.293945i
\(94\) 180027. 41090.0i 0.216747 0.0494712i
\(95\) −244519. 623025.i −0.285195 0.726666i
\(96\) 818592. 252502.i 0.925239 0.285398i
\(97\) 846503. 1.06148e6i 0.927499 1.16305i −0.0588316 0.998268i \(-0.518737\pi\)
0.986331 0.164779i \(-0.0526911\pi\)
\(98\) −521175. + 39056.7i −0.553739 + 0.0414970i
\(99\) 38773.7 + 11960.1i 0.0399606 + 0.0123262i
\(100\) 487351. 332271.i 0.487351 0.332271i
\(101\) 267885. 40377.1i 0.260006 0.0391896i −0.0177455 0.999843i \(-0.505649\pi\)
0.277752 + 0.960653i \(0.410411\pi\)
\(102\) 63993.5 280374.i 0.0603025 0.264202i
\(103\) 890610. + 826365.i 0.815034 + 0.756241i 0.972902 0.231219i \(-0.0742714\pi\)
−0.157868 + 0.987460i \(0.550462\pi\)
\(104\) 967744. + 72522.4i 0.860321 + 0.0644721i
\(105\) −766230. 300723.i −0.661898 0.259776i
\(106\) 51274.5 340184.i 0.0430510 0.285625i
\(107\) 1.45178e6 699138.i 1.18508 0.570705i 0.265693 0.964058i \(-0.414399\pi\)
0.919388 + 0.393353i \(0.128685\pi\)
\(108\) −446518. 927203.i −0.354460 0.736044i
\(109\) 1.32630e6 + 199908.i 1.02415 + 0.154366i 0.639576 0.768728i \(-0.279110\pi\)
0.384574 + 0.923094i \(0.374348\pi\)
\(110\) −55360.1 + 141055.i −0.0415929 + 0.105977i
\(111\) −121381. + 1.61972e6i −0.0887528 + 1.18432i
\(112\) −577155. + 622025.i −0.410807 + 0.442745i
\(113\) −1.92464e6 439286.i −1.33387 0.304447i −0.504629 0.863336i \(-0.668371\pi\)
−0.829242 + 0.558889i \(0.811228\pi\)
\(114\) 151928. + 1.00798e6i 0.102547 + 0.680356i
\(115\) 443951. + 651156.i 0.291905 + 0.428146i
\(116\) −468600. + 1.51917e6i −0.300212 + 0.973265i
\(117\) −10626.3 141798.i −0.00663473 0.0885343i
\(118\) −760729. 606661.i −0.463003 0.369233i
\(119\) 452794. + 1.46792e6i 0.268695 + 0.871087i
\(120\) 635220. 249305.i 0.367604 0.144274i
\(121\) 298440. + 1.30755e6i 0.168462 + 0.738079i
\(122\) 337818. 585118.i 0.186039 0.322229i
\(123\) −942861. + 544361.i −0.506679 + 0.292531i
\(124\) 676125. 627352.i 0.354619 0.329038i
\(125\) 1.33747e6 1.06659e6i 0.684783 0.546096i
\(126\) −96030.8 65472.7i −0.0480064 0.0327302i
\(127\) −1.21174e6 583546.i −0.591562 0.284881i 0.114055 0.993474i \(-0.463616\pi\)
−0.705617 + 0.708593i \(0.749330\pi\)
\(128\) 2.06452e6i 0.984438i
\(129\) −1.83518e6 + 921622.i −0.854891 + 0.429323i
\(130\) 531020. 0.241702
\(131\) −1.53693e6 + 3.19147e6i −0.683661 + 1.41964i 0.213060 + 0.977039i \(0.431657\pi\)
−0.896720 + 0.442597i \(0.854057\pi\)
\(132\) −480898. + 705348.i −0.209089 + 0.306677i
\(133\) −3.39494e6 4.25712e6i −1.44303 1.80951i
\(134\) −915144. 986291.i −0.380343 0.409912i
\(135\) −639235. 1.10719e6i −0.259812 0.450008i
\(136\) −1.10290e6 636757.i −0.438448 0.253138i
\(137\) 2.30586e6 526297.i 0.896749 0.204677i 0.250783 0.968043i \(-0.419312\pi\)
0.645966 + 0.763366i \(0.276455\pi\)
\(138\) −438522. 1.11734e6i −0.166861 0.425154i
\(139\) −1.82456e6 + 562802.i −0.679381 + 0.209561i −0.615193 0.788376i \(-0.710922\pi\)
−0.0641882 + 0.997938i \(0.520446\pi\)
\(140\) −1.00103e6 + 1.25525e6i −0.364805 + 0.457451i
\(141\) 1.28876e6 96579.5i 0.459744 0.0344531i
\(142\) −619030. 190945.i −0.216195 0.0666874i
\(143\) −1.24616e6 + 849614.i −0.426151 + 0.290545i
\(144\) −101922. + 15362.3i −0.0341336 + 0.00514481i
\(145\) −439478. + 1.92548e6i −0.144156 + 0.631590i
\(146\) 995744. + 923915.i 0.319955 + 0.296875i
\(147\) −3.64761e6 273350.i −1.14830 0.0860534i
\(148\) 2.94913e6 + 1.15745e6i 0.909723 + 0.357040i
\(149\) −353165. + 2.34310e6i −0.106762 + 0.708323i 0.869850 + 0.493316i \(0.164215\pi\)
−0.976613 + 0.215007i \(0.931023\pi\)
\(150\) −1.00551e6 + 484227.i −0.297928 + 0.143475i
\(151\) −1.70356e6 3.53747e6i −0.494795 1.02745i −0.987553 0.157286i \(-0.949725\pi\)
0.492758 0.870167i \(-0.335989\pi\)
\(152\) 4.46364e6 + 672786.i 1.27104 + 0.191578i
\(153\) −68172.8 + 173702.i −0.0190343 + 0.0484986i
\(154\) −92125.9 + 1.22933e6i −0.0252243 + 0.336595i
\(155\) 779358. 839948.i 0.209287 0.225558i
\(156\) 2.91664e6 + 665703.i 0.768261 + 0.175350i
\(157\) −217761. 1.44475e6i −0.0562706 0.373331i −0.999188 0.0403030i \(-0.987168\pi\)
0.942917 0.333028i \(-0.108070\pi\)
\(158\) 794199. + 1.16488e6i 0.201353 + 0.295331i
\(159\) 709705. 2.30081e6i 0.176558 0.572386i
\(160\) −155122. 2.06996e6i −0.0378715 0.505360i
\(161\) 5.01280e6 + 3.99757e6i 1.20116 + 0.957897i
\(162\) 524891. + 1.70165e6i 0.123459 + 0.400245i
\(163\) −3.46112e6 + 1.35839e6i −0.799197 + 0.313662i −0.729566 0.683911i \(-0.760278\pi\)
−0.0696319 + 0.997573i \(0.522182\pi\)
\(164\) 472537. + 2.07032e6i 0.107128 + 0.469360i
\(165\) −530266. + 918447.i −0.118043 + 0.204457i
\(166\) −3.02058e6 + 1.74394e6i −0.660339 + 0.381247i
\(167\) 2.73288e6 2.53574e6i 0.586774 0.544447i −0.329934 0.944004i \(-0.607027\pi\)
0.916708 + 0.399557i \(0.130836\pi\)
\(168\) 4.34044e6 3.46139e6i 0.915390 0.729999i
\(169\) 378912. + 258338.i 0.0785015 + 0.0535214i
\(170\) −627838. 302351.i −0.127791 0.0615410i
\(171\) 661419.i 0.132278i
\(172\) 662679. + 3.95037e6i 0.130232 + 0.776342i
\(173\) 631423. 0.121950 0.0609750 0.998139i \(-0.480579\pi\)
0.0609750 + 0.998139i \(0.480579\pi\)
\(174\) 1.30513e6 2.71013e6i 0.247746 0.514449i
\(175\) 3.35819e6 4.92555e6i 0.626600 0.919054i
\(176\) 681644. + 854755.i 0.125032 + 0.156785i
\(177\) −4.63192e6 4.99202e6i −0.835297 0.900237i
\(178\) −25281.9 43789.6i −0.00448281 0.00776446i
\(179\) 2.56673e6 + 1.48190e6i 0.447529 + 0.258381i 0.706786 0.707427i \(-0.250144\pi\)
−0.259257 + 0.965808i \(0.583478\pi\)
\(180\) −190135. + 43397.1i −0.0326021 + 0.00744121i
\(181\) −313427. 798600.i −0.0528569 0.134677i 0.902007 0.431722i \(-0.142094\pi\)
−0.954863 + 0.297045i \(0.903999\pi\)
\(182\) 4.12821e6 1.27338e6i 0.684775 0.211225i
\(183\) 2.94827e6 3.69701e6i 0.481076 0.603250i
\(184\) −5.30049e6 + 397217.i −0.850869 + 0.0637638i
\(185\) 3.76091e6 + 1.16009e6i 0.593988 + 0.183221i
\(186\) −1.44191e6 + 983075.i −0.224077 + 0.152773i
\(187\) 1.95711e6 294987.i 0.299289 0.0451106i
\(188\) 560929. 2.45759e6i 0.0844179 0.369859i
\(189\) −7.62453e6 7.07453e6i −1.12935 1.04788i
\(190\) 2.46312e6 + 184585.i 0.359108 + 0.0269114i
\(191\) 5.83091e6 + 2.28846e6i 0.836828 + 0.328431i 0.744769 0.667323i \(-0.232560\pi\)
0.0920591 + 0.995754i \(0.470655\pi\)
\(192\) −60610.3 + 402123.i −0.00856334 + 0.0568140i
\(193\) −3.92381e6 + 1.88961e6i −0.545804 + 0.262845i −0.686403 0.727221i \(-0.740811\pi\)
0.140599 + 0.990067i \(0.455097\pi\)
\(194\) 2.17400e6 + 4.51436e6i 0.297752 + 0.618288i
\(195\) 3.67500e6 + 553917.i 0.495625 + 0.0747035i
\(196\) −2.60658e6 + 6.64145e6i −0.346180 + 0.882053i
\(197\) 1.00065e6 1.33527e7i 0.130882 1.74650i −0.416062 0.909336i \(-0.636590\pi\)
0.546945 0.837169i \(-0.315791\pi\)
\(198\) −101854. + 109773.i −0.0131215 + 0.0141416i
\(199\) −80113.3 18285.3i −0.0101659 0.00232030i 0.217435 0.976075i \(-0.430231\pi\)
−0.227601 + 0.973755i \(0.573088\pi\)
\(200\) 736587. + 4.88694e6i 0.0920734 + 0.610867i
\(201\) −5.30457e6 7.78037e6i −0.653224 0.958103i
\(202\) −294696. + 955380.i −0.0357536 + 0.115910i
\(203\) 1.20074e6 + 1.60228e7i 0.143536 + 1.91536i
\(204\) −3.06938e6 2.44775e6i −0.361543 0.288321i
\(205\) 777592. + 2.52089e6i 0.0902589 + 0.292612i
\(206\) −4.17379e6 + 1.63809e6i −0.477451 + 0.187386i
\(207\) 173305. + 759301.i 0.0195389 + 0.0856057i
\(208\) 1.91562e6 3.31796e6i 0.212873 0.368707i
\(209\) −6.07559e6 + 3.50774e6i −0.665502 + 0.384228i
\(210\) 2.22684e6 2.06621e6i 0.240454 0.223109i
\(211\) −7.58169e6 + 6.04620e6i −0.807084 + 0.643628i −0.937560 0.347824i \(-0.886921\pi\)
0.130476 + 0.991451i \(0.458349\pi\)
\(212\) −3.88034e6 2.64557e6i −0.407251 0.277659i
\(213\) −4.08491e6 1.96719e6i −0.422711 0.203567i
\(214\) 5.94670e6i 0.606785i
\(215\) 1.18768e6 + 4.83230e6i 0.119505 + 0.486226i
\(216\) 8.62270e6 0.855622
\(217\) 4.04463e6 8.39876e6i 0.395822 0.821932i
\(218\) −2.78845e6 + 4.08991e6i −0.269149 + 0.394770i
\(219\) 5.92744e6 + 7.43277e6i 0.564332 + 0.707650i
\(220\) 1.40699e6 + 1.51637e6i 0.132136 + 0.142409i
\(221\) −3.46797e6 6.00671e6i −0.321291 0.556493i
\(222\) −5.19126e6 2.99718e6i −0.474476 0.273939i
\(223\) 1.47431e7 3.36502e6i 1.32946 0.303440i 0.501952 0.864896i \(-0.332616\pi\)
0.827507 + 0.561455i \(0.189758\pi\)
\(224\) −6.16968e6 1.57201e7i −0.548932 1.39866i
\(225\) 691970. 213445.i 0.0607491 0.0187386i
\(226\) 4.54248e6 5.69609e6i 0.393521 0.493459i
\(227\) −2.30299e7 + 1.72585e6i −1.96885 + 0.147545i −0.996352 0.0853445i \(-0.972801\pi\)
−0.972503 + 0.232890i \(0.925182\pi\)
\(228\) 1.32973e7 + 4.10169e6i 1.12192 + 0.346065i
\(229\) −9.44747e6 + 6.44118e6i −0.786700 + 0.536363i −0.888737 0.458418i \(-0.848416\pi\)
0.102037 + 0.994781i \(0.467464\pi\)
\(230\) −2.87600e6 + 433487.i −0.236377 + 0.0356281i
\(231\) −1.91991e6 + 8.41169e6i −0.155756 + 0.682413i
\(232\) −9.76459e6 9.06021e6i −0.781970 0.725562i
\(233\) 2.57040e6 + 192625.i 0.203204 + 0.0152280i 0.175943 0.984400i \(-0.443702\pi\)
0.0272609 + 0.999628i \(0.491322\pi\)
\(234\) 488498. + 191721.i 0.0381255 + 0.0149631i
\(235\) 466737. 3.09660e6i 0.0359641 0.238606i
\(236\) −1.19674e7 + 5.76319e6i −0.910465 + 0.438457i
\(237\) 4.28127e6 + 8.89014e6i 0.321608 + 0.667827i
\(238\) −5.60593e6 844958.i −0.415831 0.0626764i
\(239\) 1.22656e6 3.12522e6i 0.0898452 0.228922i −0.878887 0.477030i \(-0.841713\pi\)
0.968732 + 0.248108i \(0.0798087\pi\)
\(240\) 201323. 2.68646e6i 0.0145633 0.194333i
\(241\) −2.16329e6 + 2.33147e6i −0.154548 + 0.166563i −0.805580 0.592487i \(-0.798146\pi\)
0.651032 + 0.759051i \(0.274337\pi\)
\(242\) −4.82554e6 1.10140e6i −0.340486 0.0777138i
\(243\) −361883. 2.40094e6i −0.0252202 0.167325i
\(244\) −5.19566e6 7.62063e6i −0.357661 0.524592i
\(245\) −2.61252e6 + 8.46957e6i −0.177648 + 0.575921i
\(246\) −300261. 4.00671e6i −0.0201695 0.269143i
\(247\) 1.92213e7 + 1.53285e7i 1.27553 + 1.01720i
\(248\) 2.27789e6 + 7.38472e6i 0.149340 + 0.484149i
\(249\) −2.27235e7 + 8.91833e6i −1.47190 + 0.577678i
\(250\) 1.40484e6 + 6.15501e6i 0.0899099 + 0.393921i
\(251\) −3.86285e6 + 6.69066e6i −0.244279 + 0.423104i −0.961929 0.273300i \(-0.911885\pi\)
0.717649 + 0.696405i \(0.245218\pi\)
\(252\) −1.37407e6 + 793318.i −0.0858631 + 0.0495731i
\(253\) 6.05560e6 5.61877e6i 0.373934 0.346960i
\(254\) 3.88062e6 3.09469e6i 0.236810 0.188850i
\(255\) −4.02966e6 2.74738e6i −0.243023 0.165690i
\(256\) 7.77244e6 + 3.74301e6i 0.463274 + 0.223101i
\(257\) 1.16888e7i 0.688604i −0.938859 0.344302i \(-0.888116\pi\)
0.938859 0.344302i \(-0.111884\pi\)
\(258\) −125832. 7.57781e6i −0.00732711 0.441250i
\(259\) 3.20196e7 1.84296
\(260\) 3.14526e6 6.53120e6i 0.178952 0.371598i
\(261\) −1.09947e6 + 1.61263e6i −0.0618389 + 0.0907010i
\(262\) −8.15075e6 1.02207e7i −0.453204 0.568299i
\(263\) 2.28429e7 + 2.46188e7i 1.25569 + 1.35332i 0.909802 + 0.415043i \(0.136233\pi\)
0.345893 + 0.938274i \(0.387576\pi\)
\(264\) −3.57640e6 6.19451e6i −0.194372 0.336663i
\(265\) −5.05266e6 2.91716e6i −0.271508 0.156755i
\(266\) 1.95912e7 4.47157e6i 1.04092 0.237583i
\(267\) −129290. 329425.i −0.00679250 0.0173070i
\(268\) −1.75512e7 + 5.41382e6i −0.911805 + 0.281255i
\(269\) 2.10967e7 2.64544e7i 1.08382 1.35907i 0.155264 0.987873i \(-0.450377\pi\)
0.928555 0.371194i \(-0.121051\pi\)
\(270\) 4.70502e6 352592.i 0.239040 0.0179136i
\(271\) −1.70974e7 5.27385e6i −0.859057 0.264984i −0.166229 0.986087i \(-0.553159\pi\)
−0.692828 + 0.721103i \(0.743635\pi\)
\(272\) −4.15406e6 + 2.83219e6i −0.206427 + 0.140740i
\(273\) 2.98982e7 4.50643e6i 1.46946 0.221485i
\(274\) −1.94231e6 + 8.50980e6i −0.0944204 + 0.413683i
\(275\) −5.63040e6 5.22425e6i −0.270733 0.251204i
\(276\) −1.63399e7 1.22451e6i −0.777181 0.0582417i
\(277\) 2.91376e6 + 1.14357e6i 0.137093 + 0.0538049i 0.432896 0.901444i \(-0.357492\pi\)
−0.295803 + 0.955249i \(0.595587\pi\)
\(278\) 1.05024e6 6.96792e6i 0.0488828 0.324316i
\(279\) 1.02021e6 491307.i 0.0469761 0.0226225i
\(280\) −5.83670e6 1.21200e7i −0.265885 0.552115i
\(281\) 2.60656e7 + 3.92876e6i 1.17476 + 0.177066i 0.707277 0.706936i \(-0.249923\pi\)
0.467482 + 0.884003i \(0.345161\pi\)
\(282\) −1.74251e6 + 4.43984e6i −0.0777012 + 0.197979i
\(283\) 1.18296e6 1.57855e7i 0.0521927 0.696463i −0.908329 0.418257i \(-0.862641\pi\)
0.960521 0.278206i \(-0.0897399\pi\)
\(284\) −6.01505e6 + 6.48268e6i −0.262594 + 0.283009i
\(285\) 1.68538e7 + 3.84678e6i 0.728055 + 0.166174i
\(286\) −829588. 5.50396e6i −0.0354621 0.235276i
\(287\) 1.20902e7 + 1.77330e7i 0.511431 + 0.750132i
\(288\) 604644. 1.96021e6i 0.0253118 0.0820587i
\(289\) −1.12361e6 1.49936e7i −0.0465505 0.621173i
\(290\) −5.69858e6 4.54447e6i −0.233654 0.186333i
\(291\) 1.03365e7 + 3.35100e7i 0.419463 + 1.35986i
\(292\) 1.72614e7 6.77460e6i 0.693310 0.272104i
\(293\) −7.88936e6 3.45655e7i −0.313645 1.37417i −0.848486 0.529218i \(-0.822486\pi\)
0.534841 0.844953i \(-0.320372\pi\)
\(294\) 6.74965e6 1.16907e7i 0.265607 0.460044i
\(295\) −1.42904e7 + 8.25059e6i −0.556647 + 0.321380i
\(296\) −1.94588e7 + 1.80551e7i −0.750311 + 0.696186i
\(297\) −1.04772e7 + 8.35531e6i −0.399924 + 0.318929i
\(298\) −7.22537e6 4.92618e6i −0.273031 0.186149i
\(299\) −2.60822e7 1.25605e7i −0.975732 0.469888i
\(300\) 1.52352e7i 0.564267i
\(301\) 2.08210e7 + 3.47188e7i 0.763489 + 1.27311i
\(302\) 1.44900e7 0.526076
\(303\) −3.03606e6 + 6.30445e6i −0.109140 + 0.226631i
\(304\) 1.00389e7 1.47244e7i 0.357327 0.524102i
\(305\) −7.14398e6 8.95827e6i −0.251791 0.315736i
\(306\) −468402. 504817.i −0.0163476 0.0176185i
\(307\) −1.83426e7 3.17703e7i −0.633936 1.09801i −0.986739 0.162312i \(-0.948105\pi\)
0.352803 0.935697i \(-0.385228\pi\)
\(308\) 1.45743e7 + 8.41450e6i 0.498812 + 0.287989i
\(309\) −3.05940e7 + 6.98289e6i −1.03696 + 0.236679i
\(310\) 1.54491e6 + 3.93636e6i 0.0518583 + 0.132133i
\(311\) −5.88586e6 + 1.81555e6i −0.195672 + 0.0603568i −0.391042 0.920373i \(-0.627885\pi\)
0.195370 + 0.980730i \(0.437409\pi\)
\(312\) −1.56285e7 + 1.95975e7i −0.514581 + 0.645264i
\(313\) 2.12563e7 1.59294e6i 0.693193 0.0519476i 0.276526 0.961007i \(-0.410817\pi\)
0.416668 + 0.909059i \(0.363198\pi\)
\(314\) 5.15254e6 + 1.58935e6i 0.166430 + 0.0513370i
\(315\) −1.62858e6 + 1.11035e6i −0.0521047 + 0.0355244i
\(316\) 1.90313e7 2.86851e6i 0.603125 0.0909065i
\(317\) 1.04501e7 4.57850e7i 0.328053 1.43729i −0.494784 0.869016i \(-0.664753\pi\)
0.822837 0.568278i \(-0.192390\pi\)
\(318\) 6.51385e6 + 6.04397e6i 0.202561 + 0.187949i
\(319\) 2.06440e7 + 1.54705e6i 0.635947 + 0.0476577i
\(320\) 917279. + 360005.i 0.0279931 + 0.0109865i
\(321\) −6.20312e6 + 4.11550e7i −0.187541 + 1.24425i
\(322\) −2.13188e7 + 1.02666e7i −0.638552 + 0.307510i
\(323\) −1.39981e7 2.90674e7i −0.415396 0.862580i
\(324\) 2.40382e7 + 3.62318e6i 0.706752 + 0.106526i
\(325\) −9.83366e6 + 2.50558e7i −0.286461 + 0.729890i
\(326\) 1.02544e6 1.36835e7i 0.0295975 0.394952i
\(327\) −2.35641e7 + 2.53961e7i −0.673920 + 0.726313i
\(328\) −1.73466e7 3.95926e6i −0.491580 0.112200i
\(329\) −3.79717e6 2.51926e7i −0.106628 0.707432i
\(330\) −2.20478e6 3.23382e6i −0.0613513 0.0899858i
\(331\) −1.38187e7 + 4.47992e7i −0.381051 + 1.23534i 0.538586 + 0.842570i \(0.318959\pi\)
−0.919638 + 0.392768i \(0.871518\pi\)
\(332\) 3.55818e6 + 4.74807e7i 0.0972331 + 1.29749i
\(333\) 3.04091e6 + 2.42504e6i 0.0823514 + 0.0656730i
\(334\) 4.05540e6 + 1.31473e7i 0.108841 + 0.352855i
\(335\) −2.12402e7 + 8.33617e6i −0.564969 + 0.221734i
\(336\) −4.87703e6 2.13677e7i −0.128569 0.563299i
\(337\) 1.66216e7 2.87895e7i 0.434294 0.752220i −0.562944 0.826495i \(-0.690331\pi\)
0.997238 + 0.0742757i \(0.0236645\pi\)
\(338\) −1.46572e6 + 846231.i −0.0379577 + 0.0219149i
\(339\) 3.73786e7 3.46823e7i 0.959453 0.890242i
\(340\) −7.43744e6 + 5.93116e6i −0.189229 + 0.150905i
\(341\) −9.92353e6 6.76575e6i −0.250267 0.170629i
\(342\) 2.19924e6 + 1.05910e6i 0.0549787 + 0.0264764i
\(343\) 1.22036e7i 0.302417i
\(344\) −3.22304e7 9.35862e6i −0.791754 0.229899i
\(345\) −2.03559e7 −0.495717
\(346\) −1.01107e6 + 2.09950e6i −0.0244091 + 0.0506860i
\(347\) −8.44949e6 + 1.23931e7i −0.202228 + 0.296615i −0.913934 0.405864i \(-0.866971\pi\)
0.711705 + 0.702478i \(0.247923\pi\)
\(348\) −2.56025e7 3.21045e7i −0.607497 0.761777i
\(349\) −7.97606e6 8.59615e6i −0.187634 0.202222i 0.632228 0.774782i \(-0.282141\pi\)
−0.819862 + 0.572561i \(0.805950\pi\)
\(350\) 1.10003e7 + 1.90532e7i 0.256568 + 0.444388i
\(351\) 4.06702e7 + 2.34809e7i 0.940491 + 0.542993i
\(352\) −2.12125e7 + 4.84162e6i −0.486367 + 0.111010i
\(353\) −1.10040e7 2.80378e7i −0.250165 0.637411i 0.749533 0.661967i \(-0.230278\pi\)
−0.999698 + 0.0245560i \(0.992183\pi\)
\(354\) 2.40155e7 7.40781e6i 0.541355 0.166986i
\(355\) −6.84975e6 + 8.58932e6i −0.153105 + 0.191988i
\(356\) −688330. + 51583.2i −0.0152562 + 0.00114330i
\(357\) −3.79153e7 1.16953e7i −0.833315 0.257044i
\(358\) −9.03738e6 + 6.16158e6i −0.196967 + 0.134290i
\(359\) −8.15470e7 + 1.22912e7i −1.76248 + 0.265651i −0.948849 0.315729i \(-0.897751\pi\)
−0.813632 + 0.581380i \(0.802513\pi\)
\(360\) 363613. 1.59309e6i 0.00779348 0.0341455i
\(361\) 4.93421e7 + 4.57828e7i 1.04881 + 0.973152i
\(362\) 3.15725e6 + 236603.i 0.0665554 + 0.00498764i
\(363\) −3.22470e7 1.26560e7i −0.674169 0.264592i
\(364\) 8.78982e6 5.83166e7i 0.182253 1.20917i
\(365\) 2.07549e7 9.99503e6i 0.426817 0.205544i
\(366\) 7.57178e6 + 1.57230e7i 0.154438 + 0.320694i
\(367\) 4.37134e7 + 6.58873e6i 0.884334 + 0.133292i 0.575478 0.817817i \(-0.304816\pi\)
0.308856 + 0.951109i \(0.400054\pi\)
\(368\) −7.66645e6 + 1.95338e7i −0.153834 + 0.391961i
\(369\) −194826. + 2.59978e6i −0.00387765 + 0.0517436i
\(370\) −9.87950e6 + 1.06476e7i −0.195043 + 0.210206i
\(371\) −4.62754e7 1.05620e7i −0.906208 0.206836i
\(372\) 3.55069e6 + 2.35573e7i 0.0689738 + 0.457612i
\(373\) −3.49512e7 5.12641e7i −0.673498 0.987840i −0.999104 0.0423341i \(-0.986521\pi\)
0.325606 0.945506i \(-0.394432\pi\)
\(374\) −2.15299e6 + 6.97982e6i −0.0411554 + 0.133423i
\(375\) 3.30200e6 + 4.40621e7i 0.0626156 + 0.835548i
\(376\) 1.65131e7 + 1.31688e7i 0.310646 + 0.247732i
\(377\) −2.13837e7 6.93242e7i −0.399079 1.29378i
\(378\) 3.57319e7 1.40237e7i 0.661577 0.259650i
\(379\) −3.03575e6 1.33005e7i −0.0557633 0.244315i 0.939363 0.342925i \(-0.111418\pi\)
−0.995126 + 0.0986098i \(0.968560\pi\)
\(380\) 1.68595e7 2.92015e7i 0.307251 0.532174i
\(381\) 3.00845e7 1.73693e7i 0.543962 0.314057i
\(382\) −1.69460e7 + 1.57236e7i −0.304002 + 0.282073i
\(383\) −2.74939e7 + 2.19257e7i −0.489373 + 0.390262i −0.836855 0.547425i \(-0.815608\pi\)
0.347482 + 0.937687i \(0.387037\pi\)
\(384\) 4.40590e7 + 3.00390e7i 0.778111 + 0.530507i
\(385\) 1.88362e7 + 9.07105e6i 0.330074 + 0.158955i
\(386\) 1.60726e7i 0.279462i
\(387\) −652091. + 4.87415e6i −0.0112506 + 0.0840943i
\(388\) 6.84004e7 1.17102
\(389\) −1.16917e7 + 2.42781e7i −0.198623 + 0.412444i −0.976362 0.216143i \(-0.930652\pi\)
0.777739 + 0.628587i \(0.216367\pi\)
\(390\) −7.72640e6 + 1.13325e7i −0.130252 + 0.191044i
\(391\) 2.36860e7 + 2.97013e7i 0.396242 + 0.496872i
\(392\) −4.06602e7 4.38213e7i −0.675011 0.727489i
\(393\) −4.57470e7 7.92361e7i −0.753677 1.30541i
\(394\) 4.27959e7 + 2.47082e7i 0.699702 + 0.403973i
\(395\) 2.33101e7 5.32039e6i 0.378228 0.0863280i
\(396\) 746846. + 1.90293e6i 0.0120267 + 0.0306435i
\(397\) 1.37543e7 4.24265e6i 0.219821 0.0678057i −0.182889 0.983134i \(-0.558545\pi\)
0.402709 + 0.915328i \(0.368069\pi\)
\(398\) 189081. 237100.i 0.00299916 0.00376082i
\(399\) 1.40248e8 1.05102e7i 2.20790 0.165459i
\(400\) 1.86441e7 + 5.75095e6i 0.291315 + 0.0898586i
\(401\) 8.63059e7 5.88423e7i 1.33847 0.912550i 0.338865 0.940835i \(-0.389957\pi\)
0.999600 + 0.0282846i \(0.00900448\pi\)
\(402\) 3.43640e7 5.17954e6i 0.528963 0.0797284i
\(403\) −9.36577e6 + 4.10341e7i −0.143096 + 0.626945i
\(404\) 1.00051e7 + 9.28334e6i 0.151731 + 0.140786i
\(405\) 3.01155e7 + 2.25684e6i 0.453340 + 0.0339732i
\(406\) −5.51991e7 2.16640e7i −0.824809 0.323714i
\(407\) 6.14867e6 4.07937e7i 0.0912006 0.605077i
\(408\) 2.96364e7 1.42721e7i 0.436360 0.210140i
\(409\) −1.12959e7 2.34562e7i −0.165102 0.342838i 0.801961 0.597377i \(-0.203790\pi\)
−0.967062 + 0.254539i \(0.918076\pi\)
\(410\) −9.62718e6 1.45106e6i −0.139684 0.0210540i
\(411\) −2.23188e7 + 5.68673e7i −0.321473 + 0.819100i
\(412\) −4.57412e6 + 6.10374e7i −0.0654057 + 0.872779i
\(413\) −9.13107e7 + 9.84095e7i −1.29620 + 1.39697i
\(414\) −2.80221e6 639586.i −0.0394911 0.00901359i
\(415\) 8.81592e6 + 5.84898e7i 0.123346 + 0.818344i
\(416\) 4.29523e7 + 6.29995e7i 0.596632 + 0.875099i
\(417\) 1.45367e7 4.71270e7i 0.200474 0.649922i
\(418\) −1.93482e6 2.58183e7i −0.0264918 0.353508i
\(419\) 6.43765e7 + 5.13386e7i 0.875156 + 0.697914i 0.954268 0.298952i \(-0.0966371\pi\)
−0.0791121 + 0.996866i \(0.525209\pi\)
\(420\) −1.22233e7 3.96270e7i −0.164984 0.534864i
\(421\) 5.54479e7 2.17617e7i 0.743086 0.291640i 0.0365643 0.999331i \(-0.488359\pi\)
0.706521 + 0.707692i \(0.250263\pi\)
\(422\) −7.96362e6 3.48909e7i −0.105968 0.464274i
\(423\) 1.54737e6 2.68012e6i 0.0204444 0.0354107i
\(424\) 3.40779e7 1.96749e7i 0.447070 0.258116i
\(425\) 2.58928e7 2.40250e7i 0.337297 0.312966i
\(426\) 1.30819e7 1.04325e7i 0.169217 0.134946i
\(427\) −7.70201e7 5.25114e7i −0.989282 0.674481i
\(428\) 7.31406e7 + 3.52227e7i 0.932883 + 0.449253i
\(429\) 3.89563e7i 0.493408i
\(430\) −1.79693e7 3.78864e6i −0.226010 0.0476516i
\(431\) −3.16437e7 −0.395235 −0.197618 0.980279i \(-0.563320\pi\)
−0.197618 + 0.980279i \(0.563320\pi\)
\(432\) 1.47700e7 3.06702e7i 0.183202 0.380422i
\(433\) −8.36336e7 + 1.22668e8i −1.03019 + 1.51101i −0.180607 + 0.983555i \(0.557806\pi\)
−0.849583 + 0.527456i \(0.823146\pi\)
\(434\) 2.14497e7 + 2.68971e7i 0.262393 + 0.329030i
\(435\) −3.46974e7 3.73949e7i −0.421531 0.454302i
\(436\) 3.37870e7 + 5.85209e7i 0.407653 + 0.706076i
\(437\) −1.16615e8 6.73279e7i −1.39737 0.806772i
\(438\) −3.42056e7 + 7.80720e6i −0.407075 + 0.0929122i
\(439\) −1.88789e7 4.81027e7i −0.223143 0.568559i 0.774832 0.632167i \(-0.217834\pi\)
−0.997975 + 0.0636083i \(0.979739\pi\)
\(440\) −1.65620e7 + 5.10870e6i −0.194426 + 0.0599726i
\(441\) −5.46120e6 + 6.84813e6i −0.0636755 + 0.0798466i
\(442\) 2.55256e7 1.91288e6i 0.295604 0.0221524i
\(443\) −4.03678e7 1.24518e7i −0.464327 0.143226i 0.0537601 0.998554i \(-0.482879\pi\)
−0.518087 + 0.855328i \(0.673356\pi\)
\(444\) −6.76115e7 + 4.60967e7i −0.772452 + 0.526649i
\(445\) −847931. + 127805.i −0.00962233 + 0.00145033i
\(446\) −1.24187e7 + 5.44097e7i −0.139981 + 0.613298i
\(447\) −4.48657e7 4.16293e7i −0.502333 0.466097i
\(448\) 7.99433e6 + 599092.i 0.0889094 + 0.00666284i
\(449\) −1.20499e8 4.72924e7i −1.33120 0.522459i −0.410194 0.911998i \(-0.634539\pi\)
−0.921010 + 0.389540i \(0.872634\pi\)
\(450\) −398309. + 2.64261e6i −0.00437101 + 0.0289998i
\(451\) 2.49140e7 1.19979e7i 0.271590 0.130791i
\(452\) −4.31528e7 8.96078e7i −0.467298 0.970354i
\(453\) 1.00280e8 + 1.51149e7i 1.07875 + 0.162596i
\(454\) 3.11381e7 7.93387e7i 0.332755 0.847847i
\(455\) 5.47509e6 7.30600e7i 0.0581242 0.775614i
\(456\) −7.93046e7 + 8.54700e7i −0.836380 + 0.901403i
\(457\) 6.23166e7 + 1.42234e7i 0.652913 + 0.149023i 0.536131 0.844135i \(-0.319885\pi\)
0.116781 + 0.993158i \(0.462742\pi\)
\(458\) −6.28935e6 4.17271e7i −0.0654651 0.434332i
\(459\) −3.47159e7 5.09188e7i −0.358996 0.526551i
\(460\) −1.17031e7 + 3.79405e7i −0.120234 + 0.389789i
\(461\) 3.89317e6 + 5.19507e7i 0.0397375 + 0.530259i 0.981181 + 0.193089i \(0.0618507\pi\)
−0.941444 + 0.337170i \(0.890530\pi\)
\(462\) −2.48949e7 1.98530e7i −0.252455 0.201327i
\(463\) 3.74188e6 + 1.21309e7i 0.0377005 + 0.122222i 0.972467 0.233041i \(-0.0748676\pi\)
−0.934766 + 0.355263i \(0.884391\pi\)
\(464\) −4.89524e7 + 1.92124e7i −0.490027 + 0.192321i
\(465\) 6.58567e6 + 2.88537e7i 0.0655000 + 0.286974i
\(466\) −4.75634e6 + 8.23823e6i −0.0470019 + 0.0814097i
\(467\) 1.65365e8 9.54737e7i 1.62365 0.937417i 0.637724 0.770265i \(-0.279876\pi\)
0.985931 0.167152i \(-0.0534571\pi\)
\(468\) 5.25145e6 4.87263e6i 0.0512321 0.0475364i
\(469\) −1.45134e8 + 1.15740e8i −1.40686 + 1.12193i
\(470\) 9.54894e6 + 6.51036e6i 0.0919733 + 0.0627063i
\(471\) 3.40011e7 + 1.63740e7i 0.325409 + 0.156709i
\(472\) 1.11293e8i 1.05838i
\(473\) 4.82307e7 1.98595e7i 0.455765 0.187666i
\(474\) −3.64155e7 −0.341941
\(475\) −5.43227e7 + 1.12802e8i −0.506874 + 1.05254i
\(476\) −4.35967e7 + 6.39445e7i −0.404233 + 0.592902i
\(477\) −3.59485e6 4.50780e6i −0.0331227 0.0415345i
\(478\) 8.42744e6 + 9.08262e6i 0.0771635 + 0.0831625i
\(479\) 8.67396e7 + 1.50237e8i 0.789243 + 1.36701i 0.926431 + 0.376465i \(0.122860\pi\)
−0.137188 + 0.990545i \(0.543806\pi\)
\(480\) 4.64322e7 + 2.68076e7i 0.419851 + 0.242401i
\(481\) −1.40947e8 + 3.21702e7i −1.26655 + 0.289081i
\(482\) −4.28826e6 1.09263e7i −0.0382948 0.0975736i
\(483\) −1.58249e8 + 4.88135e7i −1.40443 + 0.433210i
\(484\) −4.21284e7 + 5.28274e7i −0.371569 + 0.465932i
\(485\) 8.47360e7 6.35008e6i 0.742750 0.0556614i
\(486\) 8.56267e6 + 2.64123e6i 0.0745934 + 0.0230090i
\(487\) −5.69480e7 + 3.88265e7i −0.493051 + 0.336157i −0.784186 0.620525i \(-0.786919\pi\)
0.291135 + 0.956682i \(0.405967\pi\)
\(488\) 7.64162e7 1.15179e7i 0.657546 0.0991091i
\(489\) 2.13702e7 9.36289e7i 0.182760 0.800725i
\(490\) −2.39783e7 2.22486e7i −0.203812 0.189110i
\(491\) 2.47537e7 + 1.85504e6i 0.209120 + 0.0156714i 0.178878 0.983871i \(-0.442753\pi\)
0.0302420 + 0.999543i \(0.490372\pi\)
\(492\) −5.10584e7 2.00389e7i −0.428718 0.168259i
\(493\) −1.41892e7 + 9.41392e7i −0.118418 + 0.785652i
\(494\) −8.17459e7 + 3.93668e7i −0.678087 + 0.326549i
\(495\) 1.10187e6 + 2.28806e6i 0.00908481 + 0.0188648i
\(496\) 3.01687e7 + 4.54720e6i 0.247236 + 0.0372648i
\(497\) −3.26536e7 + 8.32001e7i −0.265988 + 0.677727i
\(498\) 6.73236e6 8.98371e7i 0.0545104 0.727391i
\(499\) 1.62647e8 1.75292e8i 1.30902 1.41078i 0.455040 0.890471i \(-0.349625\pi\)
0.853976 0.520312i \(-0.174185\pi\)
\(500\) 8.40236e7 + 1.91778e7i 0.672189 + 0.153423i
\(501\) 1.43518e7 + 9.52180e7i 0.114128 + 0.757191i
\(502\) −1.60613e7 2.35576e7i −0.126961 0.186217i
\(503\) 2.13503e7 6.92158e7i 0.167764 0.543878i −0.832179 0.554507i \(-0.812907\pi\)
0.999944 + 0.0106285i \(0.00338321\pi\)
\(504\) −993462. 1.32568e7i −0.00775996 0.103549i
\(505\) 1.32563e7 + 1.05716e7i 0.102932 + 0.0820854i
\(506\) 8.98608e6 + 2.91322e7i 0.0693616 + 0.224865i
\(507\) −1.10264e7 + 4.32755e6i −0.0846079 + 0.0332061i
\(508\) −1.50776e7 6.60592e7i −0.115011 0.503897i
\(509\) 1.90141e7 3.29333e7i 0.144186 0.249737i −0.784883 0.619644i \(-0.787277\pi\)
0.929069 + 0.369907i \(0.120610\pi\)
\(510\) 1.55876e7 8.99952e6i 0.117509 0.0678436i
\(511\) 1.37383e8 1.27473e8i 1.02960 0.955333i
\(512\) 7.84113e7 6.25309e7i 0.584210 0.465892i
\(513\) 1.80485e8 + 1.23053e8i 1.33687 + 0.911464i
\(514\) 3.88656e7 + 1.87167e7i 0.286204 + 0.137829i
\(515\) 7.60392e7i 0.556693i
\(516\) −9.39475e7 4.33361e7i −0.683811 0.315429i
\(517\) −3.28251e7 −0.237538
\(518\) −5.12715e7 + 1.06466e8i −0.368882 + 0.765991i
\(519\) −9.18728e6 + 1.34753e7i −0.0657181 + 0.0963907i
\(520\) 3.78696e7 + 4.74870e7i 0.269327 + 0.337726i
\(521\) 4.90079e7 + 5.28179e7i 0.346539 + 0.373481i 0.882137 0.470993i \(-0.156104\pi\)
−0.535598 + 0.844473i \(0.679914\pi\)
\(522\) −3.60151e6 6.23800e6i −0.0253206 0.0438565i
\(523\) −2.28274e8 1.31794e8i −1.59570 0.921277i −0.992303 0.123834i \(-0.960481\pi\)
−0.603395 0.797442i \(-0.706186\pi\)
\(524\) −1.73985e8 + 3.97110e7i −1.20926 + 0.276005i
\(525\) 5.62548e7 + 1.43335e8i 0.388760 + 0.990544i
\(526\) −1.18436e8 + 3.65326e7i −0.813814 + 0.251028i
\(527\) 3.44373e7 4.31830e7i 0.235287 0.295040i
\(528\) −2.81594e7 + 2.11026e6i −0.191303 + 0.0143362i
\(529\) 1.00553e7 + 3.10164e6i 0.0679246 + 0.0209520i
\(530\) 1.77903e7 1.21292e7i 0.119496 0.0814712i
\(531\) −1.61250e7 + 2.43045e6i −0.107700 + 0.0162331i
\(532\) 6.10425e7 2.67445e8i 0.405413 1.77623i
\(533\) −7.10362e7 6.59120e7i −0.469135 0.435294i
\(534\) 1.30237e6 + 97599.5i 0.00855287 + 0.000640949i
\(535\) 9.38783e7 + 3.68445e7i 0.613061 + 0.240609i
\(536\) 2.29367e7 1.52175e8i 0.148948 0.988208i
\(537\) −6.89718e7 + 3.32151e7i −0.445398 + 0.214492i
\(538\) 5.41807e7 + 1.12507e8i 0.347935 + 0.722494i
\(539\) 9.18676e7 + 1.38468e7i 0.586673 + 0.0884267i
\(540\) 2.35314e7 5.99571e7i 0.149440 0.380767i
\(541\) 1.02986e7 1.37425e8i 0.0650407 0.867908i −0.865310 0.501237i \(-0.832879\pi\)
0.930351 0.366671i \(-0.119502\pi\)
\(542\) 4.49130e7 4.84047e7i 0.282081 0.304011i
\(543\) 2.16034e7 + 4.93084e6i 0.134935 + 0.0307979i
\(544\) −1.49131e7 9.89421e7i −0.0926343 0.614588i
\(545\) 4.72891e7 + 6.93604e7i 0.292127 + 0.428471i
\(546\) −3.28905e7 + 1.06628e8i −0.202066 + 0.655082i
\(547\) 1.03168e7 + 1.37668e8i 0.0630352 + 0.841146i 0.935693 + 0.352814i \(0.114775\pi\)
−0.872658 + 0.488332i \(0.837606\pi\)
\(548\) 9.31606e7 + 7.42931e7i 0.566097 + 0.451447i
\(549\) −3.33760e6 1.08202e7i −0.0201705 0.0653912i
\(550\) 2.63865e7 1.03559e7i 0.158597 0.0622446i
\(551\) −7.50902e7 3.28992e8i −0.448878 1.96666i
\(552\) 6.86458e7 1.18898e8i 0.408128 0.706899i
\(553\) 1.68457e8 9.72590e7i 0.996127 0.575114i
\(554\) −8.46806e6 + 7.85722e6i −0.0498029 + 0.0462104i
\(555\) −7.94792e7 + 6.33826e7i −0.464916 + 0.370758i
\(556\) −7.94802e7 5.41887e7i −0.462418 0.315271i
\(557\) 2.85191e8 + 1.37341e8i 1.65033 + 0.794755i 0.999365 + 0.0356446i \(0.0113484\pi\)
0.650962 + 0.759111i \(0.274366\pi\)
\(558\) 4.17894e6i 0.0240527i
\(559\) −1.26534e8 1.31909e8i −0.724389 0.755163i
\(560\) −5.31077e7 −0.302408
\(561\) −2.21809e7 + 4.60591e7i −0.125629 + 0.260871i
\(562\) −5.48009e7 + 8.03781e7i −0.308730 + 0.452823i
\(563\) 1.26488e7 + 1.58611e7i 0.0708799 + 0.0888806i 0.816007 0.578041i \(-0.196183\pi\)
−0.745127 + 0.666922i \(0.767611\pi\)
\(564\) 4.42862e7 + 4.77291e7i 0.246849 + 0.266040i
\(565\) −6.17776e7 1.07002e8i −0.342520 0.593262i
\(566\) 5.05931e7 + 2.92099e7i 0.279024 + 0.161095i
\(567\) 2.39533e8 5.46719e7i 1.31406 0.299926i
\(568\) −2.70705e7 6.89746e7i −0.147724 0.376395i
\(569\) 5.97914e7 1.84432e7i 0.324565 0.100115i −0.128191 0.991749i \(-0.540917\pi\)
0.452756 + 0.891634i \(0.350441\pi\)
\(570\) −3.97780e7 + 4.98800e7i −0.214792 + 0.269341i
\(571\) 2.36758e8 1.77425e7i 1.27173 0.0953031i 0.578299 0.815825i \(-0.303717\pi\)
0.693433 + 0.720522i \(0.256098\pi\)
\(572\) −7.26088e7 2.23969e7i −0.387973 0.119674i
\(573\) −1.33679e8 + 9.11406e7i −0.710556 + 0.484449i
\(574\) −7.83225e7 + 1.18052e7i −0.414144 + 0.0624221i
\(575\) 3.28052e7 1.43729e8i 0.172560 0.756034i
\(576\) 713850. + 662356.i 0.00373542 + 0.00346596i
\(577\) 1.76596e8 + 1.32340e7i 0.919292 + 0.0688914i 0.525964 0.850507i \(-0.323705\pi\)
0.393328 + 0.919398i \(0.371324\pi\)
\(578\) 5.16535e7 + 2.02725e7i 0.267495 + 0.104984i
\(579\) 1.67656e7 1.11233e8i 0.0863741 0.573055i
\(580\) −8.96470e7 + 4.31717e7i −0.459464 + 0.221266i
\(581\) 2.08795e8 + 4.33566e8i 1.06461 + 2.21069i
\(582\) −1.27973e8 1.92889e7i −0.649158 0.0978448i
\(583\) −2.23425e7 + 5.69276e7i −0.112752 + 0.287288i
\(584\) −1.16107e7 + 1.54934e8i −0.0582935 + 0.777873i
\(585\) 6.05326e6 6.52386e6i 0.0302358 0.0325865i
\(586\) 1.27565e8 + 2.91158e7i 0.633924 + 0.144689i
\(587\) −1.35678e7 9.00165e7i −0.0670804 0.445049i −0.997007 0.0773052i \(-0.975368\pi\)
0.929927 0.367744i \(-0.119870\pi\)
\(588\) −1.03810e8 1.52261e8i −0.510630 0.748957i
\(589\) −5.77065e7 + 1.87080e8i −0.282409 + 0.915549i
\(590\) −4.55090e6 6.07275e7i −0.0221585 0.295685i
\(591\) 2.70402e8 + 2.15638e8i 1.30993 + 1.04463i
\(592\) 3.08892e7 + 1.00140e8i 0.148882 + 0.482663i
\(593\) −3.72405e8 + 1.46158e8i −1.78587 + 0.700904i −0.789703 + 0.613490i \(0.789765\pi\)
−0.996172 + 0.0874141i \(0.972140\pi\)
\(594\) −1.10050e7 4.82162e7i −0.0525087 0.230056i
\(595\) −4.80721e7 + 8.32634e7i −0.228214 + 0.395278i
\(596\) −1.03385e8 + 5.96894e7i −0.488336 + 0.281941i
\(597\) 1.55589e6 1.44365e6i 0.00731232 0.00678484i
\(598\) 8.35284e7 6.66117e7i 0.390598 0.311492i
\(599\) −1.80382e8 1.22982e8i −0.839291 0.572219i 0.0656078 0.997845i \(-0.479101\pi\)
−0.904899 + 0.425626i \(0.860054\pi\)
\(600\) −1.15010e8 5.53859e7i −0.532454 0.256416i
\(601\) 1.31910e8i 0.607650i 0.952728 + 0.303825i \(0.0982639\pi\)
−0.952728 + 0.303825i \(0.901736\pi\)
\(602\) −1.48781e8 + 1.36371e7i −0.681959 + 0.0625077i
\(603\) −2.25491e7 −0.102844
\(604\) 8.58253e7 1.78218e8i 0.389498 0.808800i
\(605\) −4.72853e7 + 6.93548e7i −0.213531 + 0.313192i
\(606\) −1.61010e7 2.01900e7i −0.0723495 0.0907234i
\(607\) −1.96660e8 2.11949e8i −0.879326 0.947688i 0.119655 0.992815i \(-0.461821\pi\)
−0.998981 + 0.0451277i \(0.985631\pi\)
\(608\) 1.77334e8 + 3.07152e8i 0.789009 + 1.36660i
\(609\) −3.59415e8 2.07508e8i −1.59127 0.918721i
\(610\) 4.12259e7 9.40954e6i 0.181627 0.0414552i
\(611\) 4.20258e7 + 1.07080e8i 0.184244 + 0.469445i
\(612\) −8.98330e6 + 2.77098e6i −0.0391906 + 0.0120887i
\(613\) −8.78876e7 + 1.10208e8i −0.381545 + 0.478442i −0.935107 0.354366i \(-0.884697\pi\)
0.553562 + 0.832808i \(0.313268\pi\)
\(614\) 1.35009e8 1.01175e7i 0.583252 0.0437087i
\(615\) −6.51127e7 2.00846e7i −0.279924 0.0863452i
\(616\) −1.16504e8 + 7.94313e7i −0.498425 + 0.339821i
\(617\) 4.05359e8 6.10981e7i 1.72578 0.260119i 0.790100 0.612978i \(-0.210029\pi\)
0.935677 + 0.352859i \(0.114790\pi\)
\(618\) 2.57704e7 1.12908e8i 0.109183 0.478363i
\(619\) −2.71058e8 2.51505e8i −1.14285 1.06041i −0.997474 0.0710344i \(-0.977370\pi\)
−0.145377 0.989376i \(-0.546440\pi\)
\(620\) 5.75653e7 + 4.31392e6i 0.241538 + 0.0181008i
\(621\) −2.39437e8 9.39722e7i −0.999809 0.392396i
\(622\) 3.38799e6 2.24779e7i 0.0140790 0.0934079i
\(623\) −6.28544e6 + 3.02691e6i −0.0259939 + 0.0125180i
\(624\) 4.29363e7 + 8.91582e7i 0.176714 + 0.366951i
\(625\) −7.50212e7 1.13076e7i −0.307287 0.0463160i
\(626\) −2.87401e7 + 7.32286e7i −0.117156 + 0.298509i
\(627\) 1.35414e7 1.80698e8i 0.0549366 0.733078i
\(628\) 5.00668e7 5.39591e7i 0.202149 0.217864i
\(629\) 1.84962e8 + 4.22165e7i 0.743244 + 0.169641i
\(630\) −1.08417e6 7.19303e6i −0.00433588 0.0287667i
\(631\) −7.13619e6 1.04669e7i −0.0284039 0.0416609i 0.811774 0.583971i \(-0.198502\pi\)
−0.840178 + 0.542311i \(0.817550\pi\)
\(632\) −4.75320e7 + 1.54095e8i −0.188293 + 0.610432i
\(633\) −1.87180e7 2.49775e8i −0.0737987 0.984775i
\(634\) 1.35504e8 + 1.08060e8i 0.531720 + 0.424033i
\(635\) −2.48112e7 8.04359e7i −0.0969006 0.314144i
\(636\) 1.12919e8 4.43174e7i 0.438930 0.172267i
\(637\) −7.24474e7 3.17413e8i −0.280288 1.22802i
\(638\) −3.82002e7 + 6.61647e7i −0.147097 + 0.254780i
\(639\) −9.40238e6 + 5.42847e6i −0.0360359 + 0.0208053i
\(640\) 9.47191e7 8.78865e7i 0.361325 0.335260i
\(641\) −6.79021e6 + 5.41501e6i −0.0257815 + 0.0205601i −0.636296 0.771445i \(-0.719534\pi\)
0.610514 + 0.792005i \(0.290963\pi\)
\(642\) −1.26909e8 8.65253e7i −0.479610 0.326993i
\(643\) −8.31995e7 4.00668e7i −0.312959 0.150713i 0.270810 0.962633i \(-0.412708\pi\)
−0.583769 + 0.811920i \(0.698423\pi\)
\(644\) 3.23018e8i 1.20940i
\(645\) −1.20408e8 4.49640e7i −0.448719 0.167566i
\(646\) 1.19065e8 0.441658
\(647\) −1.51688e8 + 3.14984e8i −0.560066 + 1.16299i 0.408159 + 0.912911i \(0.366171\pi\)
−0.968225 + 0.250079i \(0.919543\pi\)
\(648\) −1.14740e8 + 1.68292e8i −0.421685 + 0.618498i
\(649\) 1.07842e8 + 1.35229e8i 0.394505 + 0.494694i
\(650\) −6.75651e7 7.28179e7i −0.246027 0.265154i
\(651\) 1.20389e8 + 2.08520e8i 0.436359 + 0.755796i
\(652\) −1.62224e8 9.36602e7i −0.585293 0.337919i
\(653\) 1.20874e7 2.75886e6i 0.0434102 0.00990810i −0.200761 0.979640i \(-0.564341\pi\)
0.244171 + 0.969732i \(0.421484\pi\)
\(654\) −4.67108e7 1.19017e8i −0.166988 0.425478i
\(655\) −2.11851e8 + 6.53473e7i −0.753886 + 0.232543i
\(656\) −4.37962e7 + 5.49187e7i −0.155140 + 0.194540i
\(657\) 2.27016e7 1.70125e6i 0.0800498 0.00599890i
\(658\) 8.98464e7 + 2.77140e7i 0.315372 + 0.0972794i
\(659\) −3.35466e8 + 2.28717e8i −1.17217 + 0.799174i −0.983150 0.182798i \(-0.941484\pi\)
−0.189023 + 0.981973i \(0.560532\pi\)
\(660\) −5.28329e7 + 7.96328e6i −0.183769 + 0.0276988i
\(661\) −1.04421e8 + 4.57498e8i −0.361563 + 1.58411i 0.387667 + 0.921799i \(0.373281\pi\)
−0.749230 + 0.662310i \(0.769576\pi\)
\(662\) −1.26832e8 1.17683e8i −0.437173 0.405638i
\(663\) 1.78649e8 + 1.33879e7i 0.613000 + 0.0459380i
\(664\) −3.71366e8 1.45750e8i −1.26852 0.497858i
\(665\) 5.07921e7 3.36984e8i 0.172716 1.14589i
\(666\) −1.29326e7 + 6.22803e6i −0.0437788 + 0.0210828i
\(667\) 1.72405e8 + 3.58003e8i 0.580996 + 1.20645i
\(668\) 1.85723e8 + 2.79933e7i 0.623071 + 0.0939128i
\(669\) −1.42701e8 + 3.63596e8i −0.476594 + 1.21434i
\(670\) 6.29289e6 8.39728e7i 0.0209231 0.279199i
\(671\) −8.16907e7 + 8.80417e7i −0.270399 + 0.291421i
\(672\) 4.25254e8 + 9.70614e7i 1.40133 + 0.319845i
\(673\) −1.63917e7 1.08752e8i −0.0537747 0.356772i −0.999495 0.0317889i \(-0.989880\pi\)
0.945720 0.324983i \(-0.105359\pi\)
\(674\) 6.91108e7 + 1.01367e8i 0.225718 + 0.331067i
\(675\) −7.04928e7 + 2.28532e8i −0.229210 + 0.743081i
\(676\) 1.72658e6 + 2.30396e7i 0.00558917 + 0.0745822i
\(677\) −2.65648e8 2.11847e8i −0.856132 0.682743i 0.0936665 0.995604i \(-0.470141\pi\)
−0.949799 + 0.312861i \(0.898713\pi\)
\(678\) 5.54672e7 + 1.79820e8i 0.177970 + 0.576965i
\(679\) 6.43520e8 2.52563e8i 2.05567 0.806790i
\(680\) −1.77362e7 7.77072e7i −0.0564070 0.247135i
\(681\) 2.98256e8 5.16594e8i 0.944381 1.63572i
\(682\) 3.83864e7 2.21624e7i 0.121011 0.0698657i
\(683\) 3.85867e8 3.58032e8i 1.21109 1.12372i 0.222207 0.974999i \(-0.428674\pi\)
0.988879 0.148724i \(-0.0475167\pi\)
\(684\) 2.60525e7 2.07761e7i 0.0814105 0.0649227i
\(685\) 1.22307e8 + 8.33873e7i 0.380521 + 0.259435i
\(686\) −4.05775e7 1.95411e7i −0.125694 0.0605308i
\(687\) 2.95339e8i 0.910859i
\(688\) −8.84959e7 + 9.86101e7i −0.271743 + 0.302800i
\(689\) 2.14311e8 0.655219
\(690\) 3.25950e7 6.76842e7i 0.0992211 0.206035i
\(691\) 2.93680e8 4.30750e8i 0.890104 1.30554i −0.0614650 0.998109i \(-0.519577\pi\)
0.951569 0.307434i \(-0.0994704\pi\)
\(692\) 1.98339e7 + 2.48710e7i 0.0598536 + 0.0750541i
\(693\) 1.40529e7 + 1.51454e7i 0.0422246 + 0.0455073i
\(694\) −2.76778e7 4.79394e7i −0.0828044 0.143421i
\(695\) −1.03493e8 5.97515e7i −0.308287 0.177990i
\(696\) 3.35431e8 7.65599e7i 0.994891 0.227077i
\(697\) 4.64591e7 + 1.18376e8i 0.137206 + 0.349595i
\(698\) 4.13542e7 1.27561e7i 0.121606 0.0375103i
\(699\) −4.15104e7 + 5.20524e7i −0.121542 + 0.152409i
\(700\) 2.99497e8 2.24442e7i 0.873169 0.0654350i
\(701\) −5.55888e8 1.71469e8i −1.61374 0.497772i −0.648956 0.760826i \(-0.724794\pi\)
−0.964781 + 0.263054i \(0.915270\pi\)
\(702\) −1.43198e8 + 9.76309e7i −0.413929 + 0.282212i
\(703\) −6.64962e8 + 1.00227e8i −1.91395 + 0.288482i
\(704\) 2.29839e6 1.00699e7i 0.00658728 0.0288608i
\(705\) 5.92938e7 + 5.50166e7i 0.169216 + 0.157010i
\(706\) 1.10847e8 + 8.30682e6i 0.314999 + 0.0236059i
\(707\) 1.28407e8 + 5.03960e7i 0.363354 + 0.142606i
\(708\) 5.11341e7 3.39252e8i 0.144082 0.955923i
\(709\) −7.50471e7 + 3.61408e7i −0.210569 + 0.101405i −0.536196 0.844094i \(-0.680139\pi\)
0.325626 + 0.945499i \(0.394425\pi\)
\(710\) −1.75916e7 3.65294e7i −0.0491508 0.102063i
\(711\) 2.33645e7 + 3.52163e6i 0.0650050 + 0.00979793i
\(712\) 2.11295e6 5.38371e6i 0.00585396 0.0149156i
\(713\) 1.72276e7 2.29886e8i 0.0475286 0.634225i
\(714\) 9.95993e7 1.07342e8i 0.273629 0.294902i
\(715\) −9.20288e7 2.10050e7i −0.251771 0.0574651i
\(716\) 2.22545e7 + 1.47649e8i 0.0606289 + 0.402246i
\(717\) 4.88491e7 + 7.16485e7i 0.132525 + 0.194379i
\(718\) 8.97086e7 2.90828e8i 0.242360 0.785711i
\(719\) −4.66801e6 6.22902e7i −0.0125587 0.167584i −0.999957 0.00932632i \(-0.997031\pi\)
0.987398 0.158258i \(-0.0505877\pi\)
\(720\) −5.04365e6 4.02218e6i −0.0135129 0.0107762i
\(721\) 1.82342e8 + 5.91138e8i 0.486497 + 1.57719i
\(722\) −2.31239e8 + 9.07545e7i −0.614397 + 0.241133i
\(723\) −1.82801e7 8.00903e7i −0.0483686 0.211917i
\(724\) 2.16106e7 3.74307e7i 0.0569445 0.0986308i
\(725\) 3.19956e8 1.84727e8i 0.839607 0.484747i
\(726\) 9.37172e7 8.69569e7i 0.244912 0.227245i
\(727\) −4.19286e7 + 3.34370e7i −0.109121 + 0.0870209i −0.676530 0.736415i \(-0.736517\pi\)
0.567409 + 0.823436i \(0.307946\pi\)
\(728\) 4.08276e8 + 2.78358e8i 1.05818 + 0.721456i
\(729\) 3.73430e8 + 1.79835e8i 0.963889 + 0.464184i
\(730\) 8.50154e7i 0.218539i
\(731\) 7.44982e7 + 2.28006e8i 0.190719 + 0.583705i
\(732\) 2.38230e8 0.607384
\(733\) 4.48940e7 9.32233e7i 0.113993 0.236708i −0.836165 0.548478i \(-0.815208\pi\)
0.950158 + 0.311770i \(0.100922\pi\)
\(734\) −9.19040e7 + 1.34798e8i −0.232405 + 0.340876i
\(735\) −1.42738e8 1.78987e8i −0.359481 0.450775i
\(736\) −2.84058e8 3.06141e8i −0.712481 0.767872i
\(737\) 1.19586e8 + 2.07129e8i 0.298730 + 0.517415i
\(738\) −8.33238e6 4.81070e6i −0.0207300 0.0119685i
\(739\) −5.91219e8 + 1.34942e8i −1.46492 + 0.334359i −0.879317 0.476236i \(-0.842001\pi\)
−0.585607 + 0.810595i \(0.699144\pi\)
\(740\) 7.24413e7 + 1.84578e8i 0.178769 + 0.455495i
\(741\) −6.06799e8 + 1.87173e8i −1.49139 + 0.460032i
\(742\) 1.09218e8 1.36955e8i 0.267351 0.335247i
\(743\) −3.88417e8 + 2.91078e7i −0.946961 + 0.0709649i −0.539250 0.842146i \(-0.681292\pi\)
−0.407711 + 0.913111i \(0.633673\pi\)
\(744\) −1.90742e8 5.88360e7i −0.463156 0.142865i
\(745\) −1.22534e8 + 8.35426e7i −0.296339 + 0.202041i
\(746\) 2.26421e8 3.41274e7i 0.545381 0.0822029i
\(747\) −1.30074e7 + 5.69892e7i −0.0312053 + 0.136720i
\(748\) 7.30950e7 + 6.78223e7i 0.174656 + 0.162057i
\(749\) 8.18174e8 + 6.13136e7i 1.94715 + 0.145919i
\(750\) −1.51795e8 5.95753e7i −0.359811 0.141216i
\(751\) 3.17107e7 2.10387e8i 0.0748663 0.496706i −0.919702 0.392618i \(-0.871570\pi\)
0.994568 0.104088i \(-0.0331923\pi\)
\(752\) 7.51258e7 3.61787e7i 0.176659 0.0850744i
\(753\) −8.65810e7 1.79787e8i −0.202786 0.421089i
\(754\) 2.64746e8 + 3.99041e7i 0.617612 + 0.0930901i
\(755\) 8.97772e7 2.28749e8i 0.208605 0.531518i
\(756\) 3.91591e7 5.22542e8i 0.0906291 1.20936i
\(757\) −3.52199e8 + 3.79581e8i −0.811897 + 0.875017i −0.994125 0.108240i \(-0.965479\pi\)
0.182228 + 0.983256i \(0.441669\pi\)
\(758\) 4.90856e7 + 1.12035e7i 0.112706 + 0.0257244i
\(759\) 3.18012e7 + 2.10987e8i 0.0727307 + 0.482537i
\(760\) 1.59150e8 + 2.33431e8i 0.362549 + 0.531762i
\(761\) 1.90075e7 6.16207e7i 0.0431291 0.139821i −0.931447 0.363876i \(-0.881453\pi\)
0.974577 + 0.224055i \(0.0719295\pi\)
\(762\) 9.58065e6 + 1.27845e8i 0.0216536 + 0.288947i
\(763\) 5.33957e8 + 4.25817e8i 1.20208 + 0.958625i