Properties

Label 43.7.h.a.18.13
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 18.13
Character \(\chi\) \(=\) 43.18
Dual form 43.7.h.a.12.13

$q$-expansion

\(f(q)\) \(=\) \(q+(1.04638 - 2.17283i) q^{2} +(-3.26146 + 4.78369i) q^{3} +(36.2771 + 45.4900i) q^{4} +(-105.155 - 113.330i) q^{5} +(6.98143 + 12.0922i) q^{6} +(260.538 + 150.422i) q^{7} +(287.278 - 65.5694i) q^{8} +(254.087 + 647.403i) q^{9} +O(q^{10})\) \(q+(1.04638 - 2.17283i) q^{2} +(-3.26146 + 4.78369i) q^{3} +(36.2771 + 45.4900i) q^{4} +(-105.155 - 113.330i) q^{5} +(6.98143 + 12.0922i) q^{6} +(260.538 + 150.422i) q^{7} +(287.278 - 65.5694i) q^{8} +(254.087 + 647.403i) q^{9} +(-356.279 + 109.898i) q^{10} +(-671.040 + 841.457i) q^{11} +(-335.926 + 25.1742i) q^{12} +(608.041 + 187.556i) q^{13} +(599.464 - 408.708i) q^{14} +(885.094 - 133.407i) q^{15} +(-670.485 + 2937.59i) q^{16} +(5150.10 + 4778.59i) q^{17} +(1672.57 + 125.342i) q^{18} +(10285.6 + 4036.80i) q^{19} +(1340.67 - 8894.77i) q^{20} +(-1569.31 + 755.739i) q^{21} +(1126.18 + 2338.54i) q^{22} +(-7816.97 - 1178.22i) q^{23} +(-623.285 + 1588.10i) q^{24} +(-618.484 + 8253.09i) q^{25} +(1043.77 - 1124.92i) q^{26} +(-8040.55 - 1835.20i) q^{27} +(2608.87 + 17308.7i) q^{28} +(-22314.7 - 32729.7i) q^{29} +(636.276 - 2062.76i) q^{30} +(1399.25 + 18671.7i) q^{31} +(20425.6 + 16288.9i) q^{32} +(-1836.70 - 5954.43i) q^{33} +(15772.1 - 6190.08i) q^{34} +(-10349.6 - 45344.4i) q^{35} +(-20232.8 + 35044.3i) q^{36} +(37950.6 - 21910.8i) q^{37} +(19534.0 - 18124.9i) q^{38} +(-2880.31 + 2296.97i) q^{39} +(-37639.7 - 25662.3i) q^{40} +(-92667.0 - 44626.1i) q^{41} +4200.64i q^{42} +(-61784.8 + 50040.0i) q^{43} -62621.2 q^{44} +(46651.7 - 96873.3i) q^{45} +(-10739.6 + 15752.1i) q^{46} +(-18307.7 - 22957.1i) q^{47} +(-11865.7 - 12788.2i) q^{48} +(-13571.0 - 23505.7i) q^{49} +(17285.4 + 9979.75i) q^{50} +(-39656.2 + 9051.26i) q^{51} +(13526.0 + 34463.8i) q^{52} +(213785. - 65943.9i) q^{53} +(-12401.1 + 15550.5i) q^{54} +(165925. - 12434.4i) q^{55} +(84710.1 + 26129.6i) q^{56} +(-52857.0 + 36037.3i) q^{57} +(-94466.0 + 14238.5i) q^{58} +(-28208.4 + 123589. i) q^{59} +(38177.3 + 35423.3i) q^{60} +(195151. + 14624.6i) q^{61} +(42034.6 + 16497.4i) q^{62} +(-31184.2 + 206894. i) q^{63} +(-116977. + 56333.3i) q^{64} +(-42682.8 - 88631.7i) q^{65} +(-14859.9 - 2239.77i) q^{66} +(12552.1 - 31982.3i) q^{67} +(-30547.7 + 407631. i) q^{68} +(31131.0 - 33551.3i) q^{69} +(-109355. - 24959.7i) q^{70} +(3324.54 + 22056.9i) q^{71} +(115444. + 169325. i) q^{72} +(114721. - 371917. i) q^{73} +(-7897.70 - 105387. i) q^{74} +(-37463.1 - 29875.8i) q^{75} +(189497. + 614336. i) q^{76} +(-301405. + 118293. i) q^{77} +(1977.03 + 8661.95i) q^{78} +(319114. - 552721. i) q^{79} +(403421. - 232915. i) q^{80} +(-336657. + 312372. i) q^{81} +(-193930. + 154654. i) q^{82} +(497617. + 339270. i) q^{83} +(-91308.4 - 43971.8i) q^{84} -1.08615e6i q^{85} +(44078.2 + 186609. i) q^{86} +229348. q^{87} +(-137601. + 285732. i) q^{88} +(185516. - 272101. i) q^{89} +(-161674. - 202733. i) q^{90} +(130205. + 140328. i) q^{91} +(-229980. - 398336. i) q^{92} +(-93883.1 - 54203.4i) q^{93} +(-69038.9 + 15757.7i) q^{94} +(-624091. - 1.59016e6i) q^{95} +(-144538. + 44584.1i) q^{96} +(-935199. + 1.17270e6i) q^{97} +(-65274.5 + 4891.65i) q^{98} +(-715265. - 220630. i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.04638 2.17283i 0.130798 0.271604i −0.825277 0.564729i \(-0.808981\pi\)
0.956074 + 0.293125i \(0.0946951\pi\)
\(3\) −3.26146 + 4.78369i −0.120795 + 0.177174i −0.881874 0.471486i \(-0.843718\pi\)
0.761079 + 0.648660i \(0.224670\pi\)
\(4\) 36.2771 + 45.4900i 0.566829 + 0.710781i
\(5\) −105.155 113.330i −0.841239 0.906640i 0.155459 0.987842i \(-0.450314\pi\)
−0.996698 + 0.0812024i \(0.974124\pi\)
\(6\) 6.98143 + 12.0922i 0.0323214 + 0.0559823i
\(7\) 260.538 + 150.422i 0.759587 + 0.438548i 0.829147 0.559030i \(-0.188826\pi\)
−0.0695606 + 0.997578i \(0.522160\pi\)
\(8\) 287.278 65.5694i 0.561091 0.128065i
\(9\) 254.087 + 647.403i 0.348542 + 0.888070i
\(10\) −356.279 + 109.898i −0.356279 + 0.109898i
\(11\) −671.040 + 841.457i −0.504162 + 0.632199i −0.967163 0.254159i \(-0.918201\pi\)
0.463000 + 0.886358i \(0.346773\pi\)
\(12\) −335.926 + 25.1742i −0.194402 + 0.0145684i
\(13\) 608.041 + 187.556i 0.276760 + 0.0853691i 0.430028 0.902816i \(-0.358504\pi\)
−0.153268 + 0.988185i \(0.548980\pi\)
\(14\) 599.464 408.708i 0.218464 0.148946i
\(15\) 885.094 133.407i 0.262250 0.0395279i
\(16\) −670.485 + 2937.59i −0.163693 + 0.717184i
\(17\) 5150.10 + 4778.59i 1.04826 + 0.972643i 0.999657 0.0261754i \(-0.00833283\pi\)
0.0486023 + 0.998818i \(0.484523\pi\)
\(18\) 1672.57 + 125.342i 0.286792 + 0.0214921i
\(19\) 10285.6 + 4036.80i 1.49958 + 0.588541i 0.966305 0.257401i \(-0.0828663\pi\)
0.533274 + 0.845943i \(0.320962\pi\)
\(20\) 1340.67 8894.77i 0.167584 1.11185i
\(21\) −1569.31 + 755.739i −0.169453 + 0.0816044i
\(22\) 1126.18 + 2338.54i 0.105765 + 0.219623i
\(23\) −7816.97 1178.22i −0.642473 0.0968373i −0.180278 0.983616i \(-0.557700\pi\)
−0.462195 + 0.886778i \(0.652938\pi\)
\(24\) −623.285 + 1588.10i −0.0450871 + 0.114880i
\(25\) −618.484 + 8253.09i −0.0395830 + 0.528198i
\(26\) 1043.77 1124.92i 0.0593861 0.0640030i
\(27\) −8040.55 1835.20i −0.408502 0.0932380i
\(28\) 2608.87 + 17308.7i 0.118844 + 0.788481i
\(29\) −22314.7 32729.7i −0.914951 1.34199i −0.939594 0.342290i \(-0.888797\pi\)
0.0246432 0.999696i \(-0.492155\pi\)
\(30\) 636.276 2062.76i 0.0235658 0.0763984i
\(31\) 1399.25 + 18671.7i 0.0469688 + 0.626756i 0.970168 + 0.242434i \(0.0779457\pi\)
−0.923199 + 0.384322i \(0.874435\pi\)
\(32\) 20425.6 + 16288.9i 0.623340 + 0.497097i
\(33\) −1836.70 5954.43i −0.0511088 0.165691i
\(34\) 15772.1 6190.08i 0.401284 0.157492i
\(35\) −10349.6 45344.4i −0.241389 1.05760i
\(36\) −20232.8 + 35044.3i −0.433660 + 0.751121i
\(37\) 37950.6 21910.8i 0.749228 0.432567i −0.0761871 0.997094i \(-0.524275\pi\)
0.825415 + 0.564527i \(0.190941\pi\)
\(38\) 19534.0 18124.9i 0.355992 0.330312i
\(39\) −2880.31 + 2296.97i −0.0485563 + 0.0387224i
\(40\) −37639.7 25662.3i −0.588121 0.400974i
\(41\) −92667.0 44626.1i −1.34454 0.647496i −0.383406 0.923580i \(-0.625249\pi\)
−0.961134 + 0.276084i \(0.910963\pi\)
\(42\) 4200.64i 0.0566979i
\(43\) −61784.8 + 50040.0i −0.777099 + 0.629379i
\(44\) −62621.2 −0.735129
\(45\) 46651.7 96873.3i 0.511953 1.06308i
\(46\) −10739.6 + 15752.1i −0.110335 + 0.161832i
\(47\) −18307.7 22957.1i −0.176336 0.221118i 0.685807 0.727783i \(-0.259449\pi\)
−0.862143 + 0.506665i \(0.830878\pi\)
\(48\) −11865.7 12788.2i −0.107293 0.115634i
\(49\) −13571.0 23505.7i −0.115352 0.199795i
\(50\) 17285.4 + 9979.75i 0.138283 + 0.0798380i
\(51\) −39656.2 + 9051.26i −0.298951 + 0.0682337i
\(52\) 13526.0 + 34463.8i 0.0961967 + 0.245105i
\(53\) 213785. 65943.9i 1.43598 0.442942i 0.523490 0.852032i \(-0.324630\pi\)
0.912494 + 0.409090i \(0.134154\pi\)
\(54\) −12401.1 + 15550.5i −0.0787550 + 0.0987557i
\(55\) 165925. 12434.4i 0.997298 0.0747372i
\(56\) 84710.1 + 26129.6i 0.482360 + 0.148788i
\(57\) −52857.0 + 36037.3i −0.285416 + 0.194593i
\(58\) −94466.0 + 14238.5i −0.484163 + 0.0729758i
\(59\) −28208.4 + 123589.i −0.137348 + 0.601761i 0.858664 + 0.512539i \(0.171295\pi\)
−0.996012 + 0.0892218i \(0.971562\pi\)
\(60\) 38177.3 + 35423.3i 0.176747 + 0.163997i
\(61\) 195151. + 14624.6i 0.859770 + 0.0644308i 0.497315 0.867570i \(-0.334319\pi\)
0.362455 + 0.932001i \(0.381939\pi\)
\(62\) 42034.6 + 16497.4i 0.176373 + 0.0692212i
\(63\) −31184.2 + 206894.i −0.124713 + 0.827419i
\(64\) −116977. + 56333.3i −0.446233 + 0.214894i
\(65\) −42682.8 88631.7i −0.155422 0.322737i
\(66\) −14859.9 2239.77i −0.0516872 0.00779060i
\(67\) 12552.1 31982.3i 0.0417343 0.106337i −0.908487 0.417913i \(-0.862762\pi\)
0.950221 + 0.311576i \(0.100857\pi\)
\(68\) −30547.7 + 407631.i −0.0971521 + 1.29641i
\(69\) 31131.0 33551.3i 0.0947646 0.102132i
\(70\) −109355. 24959.7i −0.318820 0.0727687i
\(71\) 3324.54 + 22056.9i 0.00928874 + 0.0616268i 0.992995 0.118156i \(-0.0376984\pi\)
−0.983706 + 0.179783i \(0.942460\pi\)
\(72\) 115444. + 169325.i 0.309295 + 0.453652i
\(73\) 114721. 371917.i 0.294900 0.956044i −0.679964 0.733245i \(-0.738005\pi\)
0.974865 0.222798i \(-0.0715191\pi\)
\(74\) −7897.70 105387.i −0.0194897 0.260072i
\(75\) −37463.1 29875.8i −0.0888014 0.0708167i
\(76\) 189497. + 614336.i 0.431681 + 1.39947i
\(77\) −301405. + 118293.i −0.660205 + 0.259111i
\(78\) 1977.03 + 8661.95i 0.00416611 + 0.0182529i
\(79\) 319114. 552721.i 0.647238 1.12105i −0.336541 0.941669i \(-0.609257\pi\)
0.983780 0.179381i \(-0.0574095\pi\)
\(80\) 403421. 232915.i 0.787933 0.454913i
\(81\) −336657. + 312372.i −0.633480 + 0.587784i
\(82\) −193930. + 154654.i −0.351725 + 0.280492i
\(83\) 497617. + 339270.i 0.870285 + 0.593350i 0.914009 0.405694i \(-0.132970\pi\)
−0.0437245 + 0.999044i \(0.513922\pi\)
\(84\) −91308.4 43971.8i −0.154054 0.0741885i
\(85\) 1.08615e6i 1.76862i
\(86\) 44078.2 + 186609.i 0.0692992 + 0.293385i
\(87\) 229348. 0.348286
\(88\) −137601. + 285732.i −0.201918 + 0.419287i
\(89\) 185516. 272101.i 0.263154 0.385976i −0.671807 0.740726i \(-0.734482\pi\)
0.934961 + 0.354750i \(0.115434\pi\)
\(90\) −161674. 202733.i −0.221775 0.278097i
\(91\) 130205. + 140328.i 0.172785 + 0.186218i
\(92\) −229980. 398336.i −0.295342 0.511548i
\(93\) −93883.1 54203.4i −0.116718 0.0673873i
\(94\) −69038.9 + 15757.7i −0.0831209 + 0.0189718i
\(95\) −624091. 1.59016e6i −0.727909 1.85468i
\(96\) −144538. + 44584.1i −0.163369 + 0.0503926i
\(97\) −935199. + 1.17270e6i −1.02468 + 1.28491i −0.0667931 + 0.997767i \(0.521277\pi\)
−0.957888 + 0.287142i \(0.907295\pi\)
\(98\) −65274.5 + 4891.65i −0.0693530 + 0.00519729i
\(99\) −715265. 220630.i −0.737159 0.227384i
\(100\) −397870. + 271263.i −0.397870 + 0.271263i
\(101\) −947673. + 142839.i −0.919802 + 0.138638i −0.591842 0.806054i \(-0.701599\pi\)
−0.327960 + 0.944692i \(0.606361\pi\)
\(102\) −21828.6 + 95637.3i −0.0205696 + 0.0901212i
\(103\) −373572. 346624.i −0.341871 0.317210i 0.490487 0.871449i \(-0.336819\pi\)
−0.832358 + 0.554239i \(0.813009\pi\)
\(104\) 186975. + 14011.8i 0.166220 + 0.0124565i
\(105\) 250668. + 98380.0i 0.216537 + 0.0849844i
\(106\) 80415.4 533522.i 0.0675184 0.447955i
\(107\) 1.77153e6 853125.i 1.44610 0.696404i 0.464185 0.885738i \(-0.346347\pi\)
0.981913 + 0.189334i \(0.0606329\pi\)
\(108\) −208204. 432341.i −0.165279 0.343206i
\(109\) 1.01093e6 + 152373.i 0.780622 + 0.117660i 0.527251 0.849710i \(-0.323223\pi\)
0.253371 + 0.967369i \(0.418461\pi\)
\(110\) 146603. 373540.i 0.110145 0.280646i
\(111\) −18960.1 + 253005.i −0.0138635 + 0.184995i
\(112\) −616564. + 664498.i −0.438858 + 0.472977i
\(113\) −582499. 132952.i −0.403701 0.0921421i 0.0158490 0.999874i \(-0.494955\pi\)
−0.419550 + 0.907732i \(0.637812\pi\)
\(114\) 22994.4 + 152558.i 0.0155206 + 0.102972i
\(115\) 688465. + 1.00979e6i 0.452677 + 0.663955i
\(116\) 679361. 2.20243e6i 0.435238 1.41101i
\(117\) 33071.1 + 441303.i 0.0206486 + 0.275537i
\(118\) 239022. + 190614.i 0.145476 + 0.116013i
\(119\) 622993. + 2.01969e6i 0.369694 + 1.19852i
\(120\) 245521. 96360.0i 0.142084 0.0557639i
\(121\) 136453. + 597841.i 0.0770243 + 0.337466i
\(122\) 235980. 408729.i 0.129956 0.225090i
\(123\) 515707. 297744.i 0.277133 0.160003i
\(124\) −798614. + 741005.i −0.418863 + 0.388648i
\(125\) −888255. + 708360.i −0.454787 + 0.362680i
\(126\) 416915. + 284248.i 0.208418 + 0.142097i
\(127\) −3.64316e6 1.75445e6i −1.77856 0.856507i −0.958948 0.283582i \(-0.908477\pi\)
−0.819608 0.572925i \(-0.805809\pi\)
\(128\) 1.98514e6i 0.946588i
\(129\) −37867.1 458763.i −0.0176398 0.213707i
\(130\) −237244. −0.107986
\(131\) 511864. 1.06290e6i 0.227688 0.472799i −0.755558 0.655082i \(-0.772634\pi\)
0.983246 + 0.182282i \(0.0583485\pi\)
\(132\) 204237. 299561.i 0.0887999 0.130246i
\(133\) 2.07257e6 + 2.59892e6i 0.880957 + 1.10468i
\(134\) −56357.9 60739.4i −0.0234229 0.0252439i
\(135\) 637520. + 1.10422e6i 0.259115 + 0.448800i
\(136\) 1.79284e6 + 1.03510e6i 0.712731 + 0.411495i
\(137\) −501296. + 114417.i −0.194954 + 0.0444970i −0.318883 0.947794i \(-0.603308\pi\)
0.123929 + 0.992291i \(0.460451\pi\)
\(138\) −40326.4 102750.i −0.0153445 0.0390971i
\(139\) 3.67123e6 1.13242e6i 1.36700 0.421662i 0.477510 0.878626i \(-0.341539\pi\)
0.889485 + 0.456964i \(0.151063\pi\)
\(140\) 1.68726e6 2.11576e6i 0.614892 0.771050i
\(141\) 169530. 12704.5i 0.0604768 0.00453211i
\(142\) 51404.7 + 15856.3i 0.0179530 + 0.00553778i
\(143\) −565840. + 385783.i −0.193502 + 0.131927i
\(144\) −2.07216e6 + 312329.i −0.693964 + 0.104598i
\(145\) −1.36275e6 + 5.97062e6i −0.447006 + 1.95846i
\(146\) −688072. 638438.i −0.221093 0.205145i
\(147\) 156706. + 11743.5i 0.0493324 + 0.00369695i
\(148\) 2.37346e6 + 931514.i 0.732144 + 0.287345i
\(149\) 738304. 4.89833e6i 0.223191 1.48077i −0.543853 0.839180i \(-0.683035\pi\)
0.767044 0.641594i \(-0.221727\pi\)
\(150\) −104116. + 50139.5i −0.0308491 + 0.0148562i
\(151\) −1.00691e6 2.09088e6i −0.292456 0.607292i 0.702031 0.712146i \(-0.252277\pi\)
−0.994488 + 0.104854i \(0.966562\pi\)
\(152\) 3.21953e6 + 485265.i 0.916771 + 0.138181i
\(153\) −1.78510e6 + 4.54837e6i −0.498413 + 1.26994i
\(154\) −58354.2 + 778683.i −0.0159775 + 0.213205i
\(155\) 1.96892e6 2.12199e6i 0.528730 0.569835i
\(156\) −208979. 47698.0i −0.0550463 0.0125640i
\(157\) 272482. + 1.80780e6i 0.0704108 + 0.467145i 0.996054 + 0.0887481i \(0.0282866\pi\)
−0.925643 + 0.378397i \(0.876475\pi\)
\(158\) −867057. 1.27174e6i −0.219825 0.322423i
\(159\) −381797. + 1.23775e6i −0.0949819 + 0.307924i
\(160\) −301833. 4.02769e6i −0.0736898 0.983322i
\(161\) −1.85939e6 1.48281e6i −0.445547 0.355312i
\(162\) 326461. + 1.05836e6i 0.0767868 + 0.248937i
\(163\) −3.40170e6 + 1.33507e6i −0.785477 + 0.308277i −0.723972 0.689830i \(-0.757685\pi\)
−0.0615053 + 0.998107i \(0.519590\pi\)
\(164\) −1.33165e6 5.83432e6i −0.301896 1.32269i
\(165\) −481678. + 834290.i −0.107227 + 0.185723i
\(166\) 1.25787e6 726234.i 0.274988 0.158764i
\(167\) 696014. 645807.i 0.149441 0.138661i −0.601910 0.798564i \(-0.705593\pi\)
0.751350 + 0.659903i \(0.229403\pi\)
\(168\) −401275. + 320006.i −0.0846280 + 0.0674886i
\(169\) −3.65356e6 2.49096e6i −0.756931 0.516067i
\(170\) −2.36003e6 1.13653e6i −0.480364 0.231331i
\(171\) 7.68464e6i 1.53686i
\(172\) −4.51769e6 995284.i −0.887833 0.195597i
\(173\) 4.51832e6 0.872648 0.436324 0.899790i \(-0.356280\pi\)
0.436324 + 0.899790i \(0.356280\pi\)
\(174\) 239985. 498334.i 0.0455550 0.0945960i
\(175\) −1.40258e6 + 2.05721e6i −0.261707 + 0.383853i
\(176\) −2.02193e6 2.53542e6i −0.370876 0.465064i
\(177\) −499211. 538022.i −0.0900253 0.0970242i
\(178\) −397111. 687816.i −0.0704128 0.121959i
\(179\) 6.31492e6 + 3.64592e6i 1.10106 + 0.635695i 0.936498 0.350673i \(-0.114047\pi\)
0.164557 + 0.986368i \(0.447380\pi\)
\(180\) 6.09915e6 1.39209e6i 1.04581 0.238699i
\(181\) −2.57330e6 6.55666e6i −0.433965 1.10573i −0.965894 0.258936i \(-0.916628\pi\)
0.531929 0.846789i \(-0.321467\pi\)
\(182\) 441154. 136078.i 0.0731773 0.0225722i
\(183\) −706439. + 885846.i −0.115271 + 0.144546i
\(184\) −2.32290e6 + 174078.i −0.372887 + 0.0279440i
\(185\) −6.47384e6 1.99692e6i −1.02246 0.315388i
\(186\) −216013. + 147275.i −0.0335691 + 0.0228870i
\(187\) −7.47691e6 + 1.12696e6i −1.14340 + 0.172339i
\(188\) 380170. 1.66563e6i 0.0572143 0.250672i
\(189\) −1.81882e6 1.68762e6i −0.269404 0.249970i
\(190\) −4.10819e6 307866.i −0.598948 0.0448850i
\(191\) 5.38834e6 + 2.11477e6i 0.773312 + 0.303503i 0.718990 0.695021i \(-0.244605\pi\)
0.0543226 + 0.998523i \(0.482700\pi\)
\(192\) 112036. 743312.i 0.0158291 0.105019i
\(193\) 5.21284e6 2.51037e6i 0.725107 0.349193i −0.0346505 0.999399i \(-0.511032\pi\)
0.759758 + 0.650206i \(0.225318\pi\)
\(194\) 1.56951e6 + 3.25912e6i 0.214961 + 0.446371i
\(195\) 563195. + 84888.0i 0.0759547 + 0.0114483i
\(196\) 576958. 1.47006e6i 0.0766260 0.195240i
\(197\) 606296. 8.09046e6i 0.0793024 1.05822i −0.805606 0.592452i \(-0.798160\pi\)
0.884908 0.465765i \(-0.154221\pi\)
\(198\) −1.22783e6 + 1.32329e6i −0.158177 + 0.170474i
\(199\) 1.32371e6 + 302129.i 0.167971 + 0.0383383i 0.305679 0.952135i \(-0.401116\pi\)
−0.137708 + 0.990473i \(0.543974\pi\)
\(200\) 363474. + 2.41149e6i 0.0454342 + 0.301436i
\(201\) 112055. + 164355.i 0.0137989 + 0.0202392i
\(202\) −681263. + 2.20860e6i −0.0826534 + 0.267956i
\(203\) −890580. 1.18840e7i −0.106460 1.42061i
\(204\) −1.85035e6 1.47561e6i −0.217953 0.173812i
\(205\) 4.68691e6 + 1.51946e7i 0.544033 + 1.76371i
\(206\) −1.14405e6 + 449008.i −0.130871 + 0.0513633i
\(207\) −1.22341e6 5.36010e6i −0.137931 0.604313i
\(208\) −958644. + 1.66042e6i −0.106529 + 0.184513i
\(209\) −1.02989e7 + 5.94605e6i −1.12811 + 0.651312i
\(210\) 476058. 441717.i 0.0514046 0.0476965i
\(211\) 8.23336e6 6.56589e6i 0.876455 0.698950i −0.0781121 0.996945i \(-0.524889\pi\)
0.954568 + 0.297995i \(0.0963178\pi\)
\(212\) 1.07553e7 + 7.33282e6i 1.12879 + 0.769597i
\(213\) −116356. 56034.2i −0.0120407 0.00579849i
\(214\) 4.74194e6i 0.483854i
\(215\) 1.21680e7 + 1.74012e6i 1.22435 + 0.175091i
\(216\) −2.43021e6 −0.241148
\(217\) −2.44407e6 + 5.07516e6i −0.239185 + 0.496673i
\(218\) 1.38890e6 2.03714e6i 0.134060 0.196631i
\(219\) 1.40498e6 + 1.76179e6i 0.133763 + 0.167734i
\(220\) 6.58493e6 + 7.09687e6i 0.618419 + 0.666498i
\(221\) 2.23522e6 + 3.87151e6i 0.207082 + 0.358677i
\(222\) 529899. + 305937.i 0.0484322 + 0.0279623i
\(223\) 7.30719e6 1.66782e6i 0.658925 0.150395i 0.120033 0.992770i \(-0.461700\pi\)
0.538892 + 0.842375i \(0.318843\pi\)
\(224\) 2.87145e6 + 7.31633e6i 0.255480 + 0.650952i
\(225\) −5.50023e6 + 1.69660e6i −0.482873 + 0.148947i
\(226\) −898397. + 1.12655e6i −0.0778293 + 0.0975949i
\(227\) −5.59300e6 + 419137.i −0.478153 + 0.0358326i −0.311627 0.950204i \(-0.600874\pi\)
−0.166526 + 0.986037i \(0.553255\pi\)
\(228\) −3.55683e6 1.09714e6i −0.300095 0.0925670i
\(229\) −9.82760e6 + 6.70034e6i −0.818353 + 0.557944i −0.898568 0.438834i \(-0.855392\pi\)
0.0802150 + 0.996778i \(0.474439\pi\)
\(230\) 2.91451e6 439292.i 0.239542 0.0361052i
\(231\) 417146. 1.82764e6i 0.0338417 0.148270i
\(232\) −8.55661e6 7.93938e6i −0.685233 0.635803i
\(233\) 7.26721e6 + 544602.i 0.574513 + 0.0430538i 0.358819 0.933407i \(-0.383180\pi\)
0.215694 + 0.976461i \(0.430799\pi\)
\(234\) 993484. + 389914.i 0.0775377 + 0.0304313i
\(235\) −676588. + 4.48887e6i −0.0521339 + 0.345886i
\(236\) −6.64538e6 + 3.20025e6i −0.505573 + 0.243471i
\(237\) 1.60327e6 + 3.32922e6i 0.120437 + 0.250091i
\(238\) 5.04035e6 + 759710.i 0.373878 + 0.0563530i
\(239\) −471306. + 1.20087e6i −0.0345230 + 0.0879633i −0.947096 0.320951i \(-0.895997\pi\)
0.912573 + 0.408915i \(0.134093\pi\)
\(240\) −201549. + 2.68949e6i −0.0145797 + 0.194552i
\(241\) 1.98605e6 2.14045e6i 0.141886 0.152917i −0.658111 0.752921i \(-0.728644\pi\)
0.799997 + 0.600005i \(0.204835\pi\)
\(242\) 1.44179e6 + 329080.i 0.101732 + 0.0232196i
\(243\) −1.29238e6 8.57441e6i −0.0900685 0.597565i
\(244\) 6.41425e6 + 9.40797e6i 0.441546 + 0.647629i
\(245\) −1.23684e6 + 4.00975e6i −0.0841039 + 0.272658i
\(246\) −107321. 1.43210e6i −0.00720908 0.0961985i
\(247\) 5.49695e6 + 4.38367e6i 0.364780 + 0.290902i
\(248\) 1.62627e6 + 5.27222e6i 0.106619 + 0.345652i
\(249\) −3.24592e6 + 1.27393e6i −0.210252 + 0.0825178i
\(250\) 609694. + 2.67124e6i 0.0390204 + 0.170960i
\(251\) 8.63994e6 1.49648e7i 0.546373 0.946347i −0.452146 0.891944i \(-0.649341\pi\)
0.998519 0.0544025i \(-0.0173254\pi\)
\(252\) −1.05429e7 + 6.08692e6i −0.658805 + 0.380361i
\(253\) 6.23692e6 5.78702e6i 0.385131 0.357350i
\(254\) −7.62428e6 + 6.08016e6i −0.465262 + 0.371034i
\(255\) 5.19582e6 + 3.54245e6i 0.313353 + 0.213640i
\(256\) −3.17317e6 1.52812e6i −0.189136 0.0910830i
\(257\) 1.07562e7i 0.633666i 0.948481 + 0.316833i \(0.102619\pi\)
−0.948481 + 0.316833i \(0.897381\pi\)
\(258\) −1.03644e6 397762.i −0.0603510 0.0231614i
\(259\) 1.31835e7 0.758805
\(260\) 2.48345e6 5.15694e6i 0.141298 0.293408i
\(261\) 1.55194e7 2.27628e7i 0.872880 1.28028i
\(262\) −1.77389e6 2.22439e6i −0.0986332 0.123682i
\(263\) −1.83215e7 1.97459e7i −1.00715 1.08545i −0.996337 0.0855099i \(-0.972748\pi\)
−0.0108145 0.999942i \(-0.503442\pi\)
\(264\) −918073. 1.59015e6i −0.0498959 0.0864223i
\(265\) −2.99540e7 1.72939e7i −1.60959 0.929300i
\(266\) 7.81573e6 1.78389e6i 0.415264 0.0947813i
\(267\) 696596. + 1.77490e6i 0.0365971 + 0.0932480i
\(268\) 1.91023e6 589228.i 0.0992387 0.0306111i
\(269\) 4.55399e6 5.71052e6i 0.233956 0.293372i −0.650970 0.759104i \(-0.725637\pi\)
0.884926 + 0.465732i \(0.154209\pi\)
\(270\) 3.06637e6 229793.i 0.155788 0.0116747i
\(271\) 1.20316e7 + 3.71124e6i 0.604525 + 0.186471i 0.581883 0.813272i \(-0.302316\pi\)
0.0226417 + 0.999744i \(0.492792\pi\)
\(272\) −1.74906e7 + 1.19249e7i −0.869157 + 0.592581i
\(273\) −1.09595e6 + 165187.i −0.0538644 + 0.00811875i
\(274\) −275936. + 1.20896e6i −0.0134140 + 0.0587704i
\(275\) −6.52960e6 6.05858e6i −0.313970 0.291322i
\(276\) 2.65559e6 + 199009.i 0.126309 + 0.00946553i
\(277\) −1.49473e7 5.86638e6i −0.703271 0.276014i −0.0133633 0.999911i \(-0.504254\pi\)
−0.689908 + 0.723897i \(0.742349\pi\)
\(278\) 1.38094e6 9.16192e6i 0.0642746 0.426434i
\(279\) −1.17326e7 + 5.65011e6i −0.540232 + 0.260162i
\(280\) −5.94641e6 1.23479e7i −0.270883 0.562493i
\(281\) −2.79053e7 4.20605e6i −1.25767 0.189564i −0.513815 0.857901i \(-0.671768\pi\)
−0.743858 + 0.668337i \(0.767006\pi\)
\(282\) 149788. 381654.i 0.00667928 0.0170185i
\(283\) 931011. 1.24235e7i 0.0410767 0.548130i −0.938265 0.345917i \(-0.887568\pi\)
0.979342 0.202213i \(-0.0648132\pi\)
\(284\) −882764. + 951393.i −0.0385380 + 0.0415341i
\(285\) 9.64227e6 + 2.20079e6i 0.416528 + 0.0950699i
\(286\) 246158. + 1.63315e6i 0.0105224 + 0.0698118i
\(287\) −1.74306e7 2.55659e7i −0.737337 1.08147i
\(288\) −5.35559e6 + 1.73624e7i −0.224197 + 0.726828i
\(289\) 1.88476e6 + 2.51504e7i 0.0780842 + 1.04196i
\(290\) 1.15472e7 + 9.20858e6i 0.473459 + 0.377571i
\(291\) −2.55973e6 8.29843e6i −0.103876 0.336757i
\(292\) 2.10803e7 8.27339e6i 0.846696 0.332304i
\(293\) 5.28418e6 + 2.31515e7i 0.210075 + 0.920399i 0.964515 + 0.264029i \(0.0850516\pi\)
−0.754440 + 0.656369i \(0.772091\pi\)
\(294\) 189490. 328207.i 0.00745667 0.0129153i
\(295\) 1.69726e7 9.79914e6i 0.661123 0.381700i
\(296\) 9.46572e6 8.78290e6i 0.364988 0.338659i
\(297\) 6.93978e6 5.53429e6i 0.264897 0.211248i
\(298\) −9.87070e6 6.72973e6i −0.372992 0.254302i
\(299\) −4.53206e6 2.18252e6i −0.169544 0.0816480i
\(300\) 2.78800e6i 0.103259i
\(301\) −2.36244e7 + 3.74356e6i −0.866287 + 0.137273i
\(302\) −5.59674e6 −0.203196
\(303\) 2.40751e6 4.99924e6i 0.0865445 0.179712i
\(304\) −1.87548e7 + 2.75083e7i −0.667562 + 0.979134i
\(305\) −1.88637e7 2.36544e7i −0.664856 0.833703i
\(306\) 8.01495e6 + 8.63806e6i 0.279728 + 0.301476i
\(307\) 9.65530e6 + 1.67235e7i 0.333696 + 0.577978i 0.983233 0.182352i \(-0.0583709\pi\)
−0.649538 + 0.760329i \(0.725038\pi\)
\(308\) −1.63152e7 9.41960e6i −0.558394 0.322389i
\(309\) 2.87653e6 656549.i 0.0974975 0.0222532i
\(310\) −2.55050e6 6.49856e6i −0.0856130 0.218138i
\(311\) 4.48471e6 1.38335e6i 0.149092 0.0459887i −0.219311 0.975655i \(-0.570381\pi\)
0.368403 + 0.929666i \(0.379905\pi\)
\(312\) −676841. + 848731.i −0.0222855 + 0.0279452i
\(313\) −9.10991e6 + 682693.i −0.297085 + 0.0222635i −0.222439 0.974947i \(-0.571402\pi\)
−0.0746463 + 0.997210i \(0.523783\pi\)
\(314\) 4.21318e6 + 1.29959e6i 0.136088 + 0.0419777i
\(315\) 2.67264e7 1.82218e7i 0.855085 0.582987i
\(316\) 3.67198e7 5.53462e6i 1.16369 0.175399i
\(317\) −4.85467e6 + 2.12697e7i −0.152399 + 0.667704i 0.839785 + 0.542919i \(0.182681\pi\)
−0.992184 + 0.124784i \(0.960176\pi\)
\(318\) 2.28993e6 + 2.12474e6i 0.0712100 + 0.0660732i
\(319\) 4.25147e7 + 3.18604e6i 1.30969 + 0.0981475i
\(320\) 1.86850e7 + 7.33332e6i 0.570220 + 0.223795i
\(321\) −1.69670e6 + 1.12569e7i −0.0512969 + 0.340333i
\(322\) −5.16754e6 + 2.48856e6i −0.154781 + 0.0745384i
\(323\) 3.36817e7 + 6.99407e7i 0.999507 + 2.07550i
\(324\) −2.64228e7 3.98259e6i −0.776861 0.117093i
\(325\) −1.92398e6 + 4.90222e6i −0.0560467 + 0.142805i
\(326\) −658594. + 8.78832e6i −0.0190092 + 0.253661i
\(327\) −4.02601e6 + 4.33901e6i −0.115141 + 0.124093i
\(328\) −2.95473e7 6.74399e6i −0.837331 0.191115i
\(329\) −1.31660e6 8.73509e6i −0.0369715 0.245290i
\(330\) 1.30876e6 + 1.91959e6i 0.0364180 + 0.0534155i
\(331\) 1.60798e7 5.21293e7i 0.443400 1.43747i −0.408016 0.912975i \(-0.633779\pi\)
0.851416 0.524492i \(-0.175745\pi\)
\(332\) 2.61871e6 + 3.49443e7i 0.0715606 + 0.954910i
\(333\) 2.38279e7 + 1.90021e7i 0.645287 + 0.514599i
\(334\) −674934. 2.18808e6i −0.0181143 0.0587252i
\(335\) −4.94447e6 + 1.94056e6i −0.131518 + 0.0516171i
\(336\) −1.16785e6 5.11669e6i −0.0307872 0.134887i
\(337\) −1.92141e7 + 3.32799e7i −0.502032 + 0.869545i 0.497965 + 0.867197i \(0.334081\pi\)
−0.999997 + 0.00234767i \(0.999253\pi\)
\(338\) −9.23545e6 + 5.33209e6i −0.239171 + 0.138085i
\(339\) 2.53580e6 2.35288e6i 0.0650902 0.0603949i
\(340\) 4.94091e7 3.94024e7i 1.25710 1.00250i
\(341\) −1.66504e7 1.13520e7i −0.419914 0.286293i
\(342\) 1.66974e7 + 8.04106e6i 0.417418 + 0.201018i
\(343\) 4.35595e7i 1.07944i
\(344\) −1.44683e7 + 1.84266e7i −0.355421 + 0.452658i
\(345\) −7.07594e6 −0.172317
\(346\) 4.72789e6 9.81757e6i 0.114140 0.237015i
\(347\) −3.55063e7 + 5.20782e7i −0.849801 + 1.24643i 0.117571 + 0.993065i \(0.462489\pi\)
−0.967371 + 0.253364i \(0.918463\pi\)
\(348\) 8.32005e6 + 1.04330e7i 0.197419 + 0.247555i
\(349\) −3.89396e7 4.19669e7i −0.916041 0.987257i 0.0839165 0.996473i \(-0.473257\pi\)
−0.999958 + 0.00921538i \(0.997067\pi\)
\(350\) 3.00234e6 + 5.20021e6i 0.0700255 + 0.121288i
\(351\) −4.54478e6 2.62393e6i −0.105097 0.0606780i
\(352\) −2.74128e7 + 6.25679e6i −0.628529 + 0.143458i
\(353\) 1.62106e7 + 4.13038e7i 0.368531 + 0.939001i 0.988066 + 0.154032i \(0.0492260\pi\)
−0.619535 + 0.784969i \(0.712679\pi\)
\(354\) −1.69140e6 + 521727.i −0.0381273 + 0.0117607i
\(355\) 2.15012e6 2.69616e6i 0.0480593 0.0602644i
\(356\) 1.91078e7 1.43193e6i 0.423508 0.0317375i
\(357\) −1.16935e7 3.60695e6i −0.257003 0.0792750i
\(358\) 1.45298e7 9.90625e6i 0.316673 0.215904i
\(359\) 2.23248e7 3.36492e6i 0.482507 0.0727262i 0.0967151 0.995312i \(-0.469166\pi\)
0.385792 + 0.922586i \(0.373928\pi\)
\(360\) 7.05011e6 3.08885e7i 0.151108 0.662049i
\(361\) 5.50109e7 + 5.10426e7i 1.16930 + 1.08495i
\(362\) −1.69392e7 1.26942e6i −0.357081 0.0267595i
\(363\) −3.30492e6 1.29709e6i −0.0690942 0.0271175i
\(364\) −1.66005e6 + 1.10137e7i −0.0344206 + 0.228366i
\(365\) −5.42129e7 + 2.61075e7i −1.11487 + 0.536893i
\(366\) 1.18559e6 + 2.46191e6i 0.0241820 + 0.0502144i
\(367\) 7.98598e7 + 1.20369e7i 1.61559 + 0.243510i 0.893754 0.448558i \(-0.148062\pi\)
0.721832 + 0.692069i \(0.243300\pi\)
\(368\) 8.70228e6 2.21731e7i 0.174618 0.444920i
\(369\) 5.34558e6 7.13318e7i 0.106394 1.41973i
\(370\) −1.11131e7 + 1.19771e7i −0.219396 + 0.236453i
\(371\) 6.56186e7 + 1.49770e7i 1.28501 + 0.293294i
\(372\) −940089. 6.23708e6i −0.0182616 0.121158i
\(373\) 1.29345e7 + 1.89715e7i 0.249244 + 0.365573i 0.930388 0.366576i \(-0.119470\pi\)
−0.681145 + 0.732149i \(0.738518\pi\)
\(374\) −5.37500e6 + 1.74253e7i −0.102746 + 0.333093i
\(375\) −491561. 6.55943e6i −0.00932145 0.124386i
\(376\) −6.76470e6 5.39467e6i −0.127258 0.101485i
\(377\) −7.42963e6 2.40863e7i −0.138657 0.449516i
\(378\) −5.57009e6 + 2.18610e6i −0.103130 + 0.0404757i
\(379\) 3.71326e6 + 1.62688e7i 0.0682083 + 0.298840i 0.997514 0.0704719i \(-0.0224505\pi\)
−0.929305 + 0.369312i \(0.879593\pi\)
\(380\) 4.96961e7 8.60761e7i 0.905673 1.56867i
\(381\) 2.02748e7 1.17057e7i 0.366591 0.211651i
\(382\) 1.02333e7 9.49511e6i 0.183580 0.170337i
\(383\) −2.96328e7 + 2.36314e7i −0.527445 + 0.420623i −0.850671 0.525699i \(-0.823804\pi\)
0.323226 + 0.946322i \(0.395233\pi\)
\(384\) −9.49628e6 6.47446e6i −0.167710 0.114343i
\(385\) 4.51003e7 + 2.17192e7i 0.790310 + 0.380593i
\(386\) 1.39534e7i 0.242616i
\(387\) −4.80948e7 2.72851e7i −0.829784 0.470753i
\(388\) −8.72725e7 −1.49411
\(389\) −3.82783e7 + 7.94856e7i −0.650284 + 1.35033i 0.271429 + 0.962458i \(0.412504\pi\)
−0.921714 + 0.387871i \(0.873211\pi\)
\(390\) 773764. 1.13490e6i 0.0130441 0.0191322i
\(391\) −3.46280e7 4.34221e7i −0.579291 0.726408i
\(392\) −5.43992e6 5.86284e6i −0.0903097 0.0973308i
\(393\) 3.41514e6 + 5.91519e6i 0.0562640 + 0.0974521i
\(394\) −1.69448e7 9.78309e6i −0.277044 0.159951i
\(395\) −9.61963e7 + 2.19562e7i −1.56087 + 0.356259i
\(396\) −1.59112e7 4.05412e7i −0.256223 0.652846i
\(397\) −8.86156e7 + 2.73343e7i −1.41625 + 0.436854i −0.906038 0.423197i \(-0.860908\pi\)
−0.510208 + 0.860051i \(0.670432\pi\)
\(398\) 2.04158e6 2.56007e6i 0.0323831 0.0406071i
\(399\) −1.91921e7 + 1.43825e6i −0.302136 + 0.0226420i
\(400\) −2.38295e7 7.35042e6i −0.372336 0.114850i
\(401\) 3.46570e7 2.36287e7i 0.537474 0.366443i −0.263954 0.964535i \(-0.585027\pi\)
0.801428 + 0.598092i \(0.204074\pi\)
\(402\) 474368. 71499.4i 0.00730192 0.00110059i
\(403\) −2.65118e6 + 1.16156e7i −0.0405064 + 0.177470i
\(404\) −4.08765e7 3.79279e7i −0.619912 0.575194i
\(405\) 7.08023e7 + 5.30590e6i 1.06582 + 0.0798719i
\(406\) −2.67538e7 1.05001e7i −0.399767 0.156897i
\(407\) −7.02938e6 + 4.66369e7i −0.104264 + 0.691745i
\(408\) −1.07989e7 + 5.20047e6i −0.159000 + 0.0765706i
\(409\) −4.73078e7 9.82356e7i −0.691453 1.43582i −0.890109 0.455748i \(-0.849372\pi\)
0.198656 0.980069i \(-0.436342\pi\)
\(410\) 3.79196e7 + 5.71547e6i 0.550190 + 0.0829278i
\(411\) 1.08762e6 2.77121e6i 0.0156658 0.0399157i
\(412\) 2.21583e6 2.95683e7i 0.0316844 0.422799i
\(413\) −2.59399e7 + 2.79565e7i −0.368229 + 0.396856i
\(414\) −1.29268e7 2.95045e6i −0.182175 0.0415803i
\(415\) −1.38774e7 9.20709e7i −0.194163 1.28818i
\(416\) 9.36452e6 + 1.37352e7i 0.130079 + 0.190790i
\(417\) −6.55642e6 + 2.12554e7i −0.0904187 + 0.293130i
\(418\) 2.14324e6 + 2.85995e7i 0.0293455 + 0.391589i
\(419\) 5.99182e6 + 4.77832e6i 0.0814549 + 0.0649581i 0.663371 0.748291i \(-0.269125\pi\)
−0.581916 + 0.813249i \(0.697697\pi\)
\(420\) 4.61820e6 + 1.49718e7i 0.0623340 + 0.202082i
\(421\) 9.80885e7 3.84969e7i 1.31453 0.515916i 0.398555 0.917144i \(-0.369512\pi\)
0.915978 + 0.401228i \(0.131416\pi\)
\(422\) −5.65134e6 2.47601e7i −0.0751994 0.329470i
\(423\) 1.02108e7 1.76856e7i 0.134908 0.233667i
\(424\) 5.70919e7 3.29620e7i 0.748992 0.432431i
\(425\) −4.26234e7 + 3.95488e7i −0.555241 + 0.515189i
\(426\) −243506. + 194190.i −0.00314979 + 0.00251187i
\(427\) 4.86446e7 + 3.31653e7i 0.624814 + 0.425991i
\(428\) 1.03075e8 + 4.96381e7i 1.31468 + 0.633117i
\(429\) 3.96502e6i 0.0502196i
\(430\) 1.65134e7 2.46182e7i 0.207697 0.309636i
\(431\) 9.24213e7 1.15436 0.577179 0.816618i \(-0.304154\pi\)
0.577179 + 0.816618i \(0.304154\pi\)
\(432\) 1.07821e7 2.23893e7i 0.133738 0.277709i
\(433\) −5.18129e7 + 7.59956e7i −0.638226 + 0.936106i 0.361767 + 0.932269i \(0.382174\pi\)
−0.999993 + 0.00383689i \(0.998779\pi\)
\(434\) 8.47006e6 + 1.06211e7i 0.103614 + 0.129927i
\(435\) −2.41170e7 2.59920e7i −0.292992 0.315770i
\(436\) 2.97420e7 + 5.15147e7i 0.358849 + 0.621544i
\(437\) −7.56461e7 4.36743e7i −0.906447 0.523337i
\(438\) 5.29821e6 1.20928e6i 0.0630532 0.0143915i
\(439\) 4.13443e7 + 1.05344e8i 0.488678 + 1.24513i 0.936393 + 0.350954i \(0.114143\pi\)
−0.447715 + 0.894176i \(0.647762\pi\)
\(440\) 4.68515e7 1.44518e7i 0.550004 0.169654i
\(441\) 1.17695e7 1.47584e7i 0.137227 0.172078i
\(442\) 1.07510e7 805679.i 0.124504 0.00933030i
\(443\) −9.70798e7 2.99452e7i −1.11665 0.344442i −0.319118 0.947715i \(-0.603387\pi\)
−0.797534 + 0.603274i \(0.793863\pi\)
\(444\) −1.21970e7 + 8.31579e6i −0.139349 + 0.0950068i
\(445\) −5.03451e7 + 7.58830e6i −0.571317 + 0.0861122i
\(446\) 4.02222e6 1.76225e7i 0.0453379 0.198638i
\(447\) 2.10241e7 + 1.95075e7i 0.235394 + 0.218414i
\(448\) −3.89508e7 2.91896e6i −0.433194 0.0324634i
\(449\) −5.11439e7 2.00725e7i −0.565008 0.221749i 0.0656065 0.997846i \(-0.479102\pi\)
−0.630614 + 0.776096i \(0.717197\pi\)
\(450\) −2.06892e6 + 1.37264e7i −0.0227042 + 0.150632i
\(451\) 9.97342e7 4.80295e7i 1.08721 0.523574i
\(452\) −1.50834e7 3.13209e7i −0.163336 0.339172i
\(453\) 1.32861e7 + 2.00256e6i 0.142923 + 0.0215422i
\(454\) −4.94169e6 + 1.25912e7i −0.0528090 + 0.134555i
\(455\) 2.21165e6 2.95124e7i 0.0234791 0.313307i
\(456\) −1.28217e7 + 1.38185e7i −0.135223 + 0.145736i
\(457\) −4.94640e6 1.12898e6i −0.0518252 0.0118288i 0.196530 0.980498i \(-0.437033\pi\)
−0.248355 + 0.968669i \(0.579890\pi\)
\(458\) 4.27531e6 + 2.83648e7i 0.0445012 + 0.295246i
\(459\) −3.26400e7 4.78740e7i −0.337529 0.495065i
\(460\) −2.09600e7 + 6.79506e7i −0.215336 + 0.698103i
\(461\) 3.81888e6 + 5.09595e7i 0.0389793 + 0.520142i 0.982183 + 0.187927i \(0.0601769\pi\)
−0.943204 + 0.332215i \(0.892204\pi\)
\(462\) −3.53466e6 2.81879e6i −0.0358444 0.0285850i
\(463\) 1.62920e7 + 5.28173e7i 0.164146 + 0.532149i 0.999855 0.0170237i \(-0.00541907\pi\)
−0.835709 + 0.549173i \(0.814943\pi\)
\(464\) 1.11108e8 4.36067e7i 1.11222 0.436515i
\(465\) 3.72939e6 + 1.63395e7i 0.0370919 + 0.162510i
\(466\) 8.78761e6 1.52206e7i 0.0868386 0.150409i
\(467\) −8.33991e7 + 4.81505e7i −0.818862 + 0.472770i −0.850024 0.526744i \(-0.823413\pi\)
0.0311620 + 0.999514i \(0.490079\pi\)
\(468\) −1.88752e7 + 1.75136e7i −0.184142 + 0.170859i
\(469\) 8.08115e6 6.44450e6i 0.0783348 0.0624699i
\(470\) 9.04559e6 + 6.16718e6i 0.0871251 + 0.0594009i
\(471\) −9.53666e6 4.59261e6i −0.0912711 0.0439539i
\(472\) 3.73541e7i 0.355232i
\(473\) −646494. 8.55681e7i −0.00610915 0.808590i
\(474\) 8.91148e6 0.0836786
\(475\) −3.96776e7 + 8.23914e7i −0.370224 + 0.768778i
\(476\) −6.92755e7 + 1.01609e8i −0.642331 + 0.942127i
\(477\) 9.70123e7 + 1.21650e8i 0.893864 + 1.12087i
\(478\) 2.11612e6 + 2.28063e6i 0.0193757 + 0.0208820i
\(479\) −2.18444e7 3.78355e7i −0.198762 0.344265i 0.749365 0.662157i \(-0.230359\pi\)
−0.948127 + 0.317891i \(0.897025\pi\)
\(480\) 2.02516e7 + 1.16923e7i 0.183120 + 0.105724i
\(481\) 2.71850e7 6.20481e6i 0.244284 0.0557562i
\(482\) −2.57268e6 6.55509e6i −0.0229744 0.0585379i
\(483\) 1.31577e7 4.05860e6i 0.116772 0.0360193i
\(484\) −2.22457e7 + 2.78952e7i −0.196205 + 0.246033i
\(485\) 2.31243e8 1.73293e7i 2.02695 0.151899i
\(486\) −1.99831e7 6.16397e6i −0.174082 0.0536972i
\(487\) −7.96637e7 + 5.43138e7i −0.689721 + 0.470244i −0.856766 0.515705i \(-0.827530\pi\)
0.167045 + 0.985949i \(0.446578\pi\)
\(488\) 5.70217e7 8.59464e6i 0.490660 0.0739551i
\(489\) 4.70797e6 2.06270e7i 0.0402631 0.176404i
\(490\) 7.41830e6 + 6.88318e6i 0.0630545 + 0.0585061i
\(491\) 1.68943e8 + 1.26605e7i 1.42724 + 0.106957i 0.765817 0.643058i \(-0.222335\pi\)
0.661421 + 0.750015i \(0.269954\pi\)
\(492\) 3.22527e7 + 1.26583e7i 0.270814 + 0.106287i
\(493\) 4.14789e7 2.75194e8i 0.346167 2.29667i
\(494\) 1.52769e7 7.35696e6i 0.126723 0.0610264i
\(495\) 5.02096e7 + 1.04261e8i 0.413972 + 0.859622i
\(496\) −5.57878e7 8.40866e6i −0.457188 0.0689099i
\(497\) −2.45167e6 + 6.24675e6i −0.0199707 + 0.0508845i
\(498\) −628434. + 8.38587e6i −0.00508829 + 0.0678985i
\(499\) −1.41813e8 + 1.52838e8i −1.14134 + 1.23007i −0.171804 + 0.985131i \(0.554959\pi\)
−0.969538 + 0.244942i \(0.921231\pi\)
\(500\) −6.44466e7 1.47095e7i −0.515572 0.117676i
\(501\) 819313. + 5.43579e6i 0.00651534 + 0.0432264i
\(502\) −2.34754e7 3.44321e7i −0.185567 0.272177i
\(503\) 2.22968e6 7.22845e6i 0.0175202 0.0567991i −0.946391 0.323025i \(-0.895300\pi\)
0.963911 + 0.266225i \(0.0857766\pi\)
\(504\) 4.60735e6 + 6.14808e7i 0.0359882 + 0.480229i
\(505\) 1.15840e8 + 9.23796e7i 0.899468 + 0.717302i
\(506\) −6.04803e6 1.96072e7i −0.0466834 0.151344i
\(507\) 2.38319e7 9.35334e6i 0.182867 0.0717699i
\(508\) −5.23531e7 2.29374e8i −0.399348 1.74966i
\(509\) 8.22724e6 1.42500e7i 0.0623879 0.108059i −0.833144 0.553056i \(-0.813462\pi\)
0.895532 + 0.444996i \(0.146795\pi\)
\(510\) 1.31340e7 7.58290e6i 0.0990114 0.0571643i
\(511\) 8.58338e7 7.96421e7i 0.643273 0.596870i
\(512\) −1.05971e8 + 8.45094e7i −0.789549 + 0.629644i
\(513\) −7.52936e7 5.13343e7i −0.557707 0.380238i
\(514\) 2.33715e7 + 1.12551e7i 0.172106 + 0.0828820i
\(515\) 7.87860e7i 0.576803i
\(516\) 1.94954e7 1.83651e7i 0.141900 0.133673i
\(517\) 3.16027e7 0.228693
\(518\) 1.37949e7 2.86455e7i 0.0992499 0.206095i
\(519\) −1.47364e7 + 2.16143e7i −0.105411 + 0.154610i
\(520\) −1.80734e7 2.26633e7i −0.128537 0.161181i
\(521\) −4.49648e7 4.84605e7i −0.317950 0.342669i 0.553773 0.832668i \(-0.313188\pi\)
−0.871723 + 0.489999i \(0.836997\pi\)
\(522\) −3.32206e7 5.75398e7i −0.233559 0.404535i
\(523\) 4.63289e7 + 2.67480e7i 0.323852 + 0.186976i 0.653108 0.757264i \(-0.273465\pi\)
−0.329256 + 0.944241i \(0.606798\pi\)
\(524\) 6.69200e7 1.52741e7i 0.465117 0.106160i
\(525\) −5.26659e6 1.34191e7i −0.0363958 0.0927351i
\(526\) −6.20760e7 + 1.91479e7i −0.426546 + 0.131572i
\(527\) −8.20181e7 + 1.02847e8i −0.560374 + 0.702686i
\(528\) 1.87231e7 1.40310e6i 0.127197 0.00953209i
\(529\) −8.17422e7 2.52141e7i −0.552178 0.170324i
\(530\) −6.89201e7 + 4.69889e7i −0.462933 + 0.315622i
\(531\) −8.71794e7 + 1.31402e7i −0.582278 + 0.0877643i
\(532\) −4.30382e7 + 1.88562e8i −0.285837 + 1.25233i
\(533\) −4.79755e7 4.45147e7i −0.316838 0.293983i
\(534\) 4.58546e6 + 343633.i 0.0301134 + 0.00225668i
\(535\) −2.82970e8 1.11058e8i −1.84790 0.725248i
\(536\) 1.50890e6 1.00109e7i 0.00979862 0.0650096i
\(537\) −3.80369e7 + 1.83176e7i −0.245630 + 0.118289i
\(538\) −7.64280e6 1.58704e7i −0.0490801 0.101916i
\(539\) 2.88858e7 + 4.35383e6i 0.184467 + 0.0278039i
\(540\) −2.71035e7 + 6.90585e7i −0.172125 + 0.438567i
\(541\) 2.15833e7 2.88010e8i 0.136310 1.81893i −0.340859 0.940114i \(-0.610718\pi\)
0.477169 0.878812i \(-0.341663\pi\)
\(542\) 2.06535e7 2.22592e7i 0.129717 0.139801i
\(543\) 3.97578e7 + 9.07445e6i 0.248326 + 0.0566788i
\(544\) 2.73560e7 + 1.81495e8i 0.169924 + 1.12737i
\(545\) −8.90356e7 1.30591e8i −0.550014 0.806723i
\(546\) −787854. + 2.55416e6i −0.00484025 + 0.0156917i
\(547\) −1.70723e7 2.27813e8i −0.104311 1.39193i −0.766332 0.642445i \(-0.777920\pi\)
0.662021 0.749485i \(-0.269699\pi\)
\(548\) −2.33904e7 1.86532e7i −0.142133 0.113347i
\(549\) 4.01175e7 + 1.30058e8i 0.242447 + 0.785993i
\(550\) −1.99967e7 + 7.84814e6i −0.120191 + 0.0471714i
\(551\) −9.73973e7 4.26725e8i −0.582226 2.55090i
\(552\) 6.74333e6 1.16798e7i 0.0400920 0.0694413i
\(553\) 1.66283e8 9.60034e7i 0.983268 0.567690i
\(554\) −2.83872e7 + 2.63395e7i −0.166953 + 0.154909i
\(555\) 3.06668e7 2.44560e7i 0.179387 0.143056i
\(556\) 1.84695e8 + 1.25923e8i 1.07456 + 0.732624i
\(557\) −7.69865e7 3.70747e7i −0.445501 0.214542i 0.197664 0.980270i \(-0.436665\pi\)
−0.643165 + 0.765728i \(0.722379\pi\)
\(558\) 3.14051e7i 0.180758i
\(559\) −4.69530e7 + 1.88383e7i −0.268799 + 0.107847i
\(560\) 1.40142e8 0.798004
\(561\) 1.89946e7 3.94427e7i 0.107583 0.223398i
\(562\) −3.83386e7 + 5.62325e7i −0.215987 + 0.316795i
\(563\) −5.34930e7 6.70781e7i −0.299759 0.375886i 0.609026 0.793150i \(-0.291560\pi\)
−0.908785 + 0.417264i \(0.862989\pi\)
\(564\) 6.72797e6 + 7.25102e6i 0.0375013 + 0.0404168i
\(565\) 4.61852e7 + 7.99951e7i 0.256069 + 0.443525i
\(566\) −2.60200e7 1.50226e7i −0.143502 0.0828508i
\(567\) −1.34700e8 + 3.07443e7i −0.738955 + 0.168662i
\(568\) 2.40133e6 + 6.11849e6i 0.0131041 + 0.0333887i
\(569\) 2.42372e8 7.47617e7i 1.31566 0.405828i 0.444041 0.896006i \(-0.353544\pi\)
0.871622 + 0.490178i \(0.163068\pi\)
\(570\) 1.48714e7 1.86482e7i 0.0803024 0.100696i
\(571\) 1.81460e8 1.35986e7i 0.974705 0.0730440i 0.422155 0.906524i \(-0.361274\pi\)
0.552550 + 0.833480i \(0.313655\pi\)
\(572\) −3.80763e7 1.17450e7i −0.203454 0.0627573i
\(573\) −2.76903e7 + 1.88789e7i −0.147185 + 0.100349i
\(574\) −7.37896e7 + 1.11220e7i −0.390175 + 0.0588094i
\(575\) 1.45586e7 6.37855e7i 0.0765803 0.335520i
\(576\) −6.61928e7 6.14179e7i −0.346372 0.321387i
\(577\) 1.89905e8 + 1.42314e7i 0.988573 + 0.0740833i 0.559191 0.829039i \(-0.311112\pi\)
0.429383 + 0.903123i \(0.358731\pi\)
\(578\) 5.66198e7 + 2.22216e7i 0.293214 + 0.115078i
\(579\) −4.99265e6 + 3.31241e7i −0.0257215 + 0.170651i
\(580\) −3.21040e8 + 1.54605e8i −1.64541 + 0.792390i
\(581\) 7.86148e7 + 1.63245e8i 0.400844 + 0.832362i
\(582\) −2.07095e7 3.12146e6i −0.105051 0.0158339i
\(583\) −8.79692e7 + 2.24142e8i −0.443941 + 1.13114i
\(584\) 8.57055e6 1.14366e8i 0.0430299 0.574194i
\(585\) 4.65353e7 5.01531e7i 0.232442 0.250513i
\(586\) 5.58336e7 + 1.27437e7i 0.277462 + 0.0633288i
\(587\) −4.22252e7 2.80146e8i −0.208765 1.38506i −0.810206 0.586146i \(-0.800645\pi\)
0.601441 0.798917i \(-0.294593\pi\)
\(588\) 5.15061e6 + 7.55455e6i 0.0253353 + 0.0371601i
\(589\) −6.09818e7 + 1.97698e8i −0.298438 + 0.967512i
\(590\) −3.53208e6 4.71323e7i −0.0171978 0.229489i
\(591\) 3.67248e7 + 2.92871e7i 0.177909 + 0.141878i
\(592\) 3.89196e7 + 1.26174e8i 0.187587 + 0.608142i
\(593\) −2.28960e8 + 8.98600e7i −1.09798 + 0.430926i −0.844033 0.536292i \(-0.819825\pi\)
−0.253949 + 0.967218i \(0.581729\pi\)
\(594\) −4.76343e6 2.08700e7i −0.0227280 0.0995778i
\(595\) 1.63381e8 2.82985e8i 0.775624 1.34342i
\(596\) 2.49608e8 1.44111e8i 1.17902 0.680706i
\(597\) −5.76253e6 + 5.34685e6i −0.0270826 + 0.0251290i
\(598\) −9.48452e6 + 7.56366e6i −0.0443519 + 0.0353694i
\(599\) −1.32935e8 9.06334e7i −0.618526 0.421704i 0.213108 0.977029i \(-0.431642\pi\)
−0.831633 + 0.555325i \(0.812594\pi\)
\(600\) −1.27213e7 6.12624e6i −0.0588948 0.0283622i
\(601\) 2.67100e8i 1.23041i 0.788367 + 0.615206i \(0.210927\pi\)
−0.788367 + 0.615206i \(0.789073\pi\)
\(602\) −1.65860e7 + 5.52491e7i −0.0760243 + 0.253242i
\(603\) 2.38948e7 0.108981
\(604\) 5.85861e7 1.21655e8i 0.265879 0.552103i
\(605\) 5.34046e7 7.83302e7i 0.241164 0.353723i
\(606\) −8.34334e6 1.04622e7i −0.0374906 0.0470117i
\(607\) 1.68343e8 + 1.81430e8i 0.752710 + 0.811229i 0.986963 0.160947i \(-0.0514549\pi\)
−0.234253 + 0.972176i \(0.575264\pi\)
\(608\) 1.44335e8 + 2.49995e8i 0.642185 + 1.11230i
\(609\) 5.97538e7 + 3.44989e7i 0.264554 + 0.152740i
\(610\) −7.11356e7 + 1.62362e7i −0.313399 + 0.0715313i
\(611\) −6.82609e6 1.73926e7i −0.0299260 0.0762502i
\(612\) −2.71664e8 + 8.37971e7i −1.18516 + 0.365574i
\(613\) −2.60541e8 + 3.26708e8i −1.13108 + 1.41833i −0.236386 + 0.971659i \(0.575963\pi\)
−0.894697 + 0.446674i \(0.852608\pi\)
\(614\) 4.64404e7 3.48023e6i 0.200628 0.0150350i
\(615\) −8.79725e7 2.71359e7i −0.378200 0.116659i
\(616\) −7.88308e7 + 5.37460e7i −0.337252 + 0.229934i
\(617\) −2.04093e8 + 3.07621e7i −0.868907 + 0.130967i −0.568340 0.822794i \(-0.692414\pi\)
−0.300567 + 0.953761i \(0.597176\pi\)
\(618\) 1.58338e6 6.93722e6i 0.00670839 0.0293914i
\(619\) −1.90553e8 1.76807e8i −0.803422 0.745467i 0.167239 0.985916i \(-0.446515\pi\)
−0.970662 + 0.240449i \(0.922705\pi\)
\(620\) 1.67956e8 + 1.25866e7i 0.704727 + 0.0528120i
\(621\) 6.06905e7 + 2.38193e7i 0.253423 + 0.0994612i
\(622\) 1.68693e6 1.11920e7i 0.00701012 0.0465091i
\(623\) 8.92639e7 4.29872e7i 0.369157 0.177777i
\(624\) −4.81635e6 1.00013e7i −0.0198228 0.0411624i
\(625\) 3.01555e8 + 4.54520e7i 1.23517 + 0.186172i
\(626\) −8.04906e6 + 2.05087e7i −0.0328112 + 0.0836016i
\(627\) 5.14531e6 6.86593e7i 0.0208741 0.278546i
\(628\) −7.23521e7 + 7.79770e7i −0.292127 + 0.314838i
\(629\) 3.00152e8 + 6.85078e7i 1.20612 + 0.275289i
\(630\) −1.16268e7 7.71390e7i −0.0464986 0.308498i
\(631\) 1.56778e8 + 2.29951e8i 0.624017 + 0.915265i 0.999935 0.0113881i \(-0.00362503\pi\)
−0.375918 + 0.926653i \(0.622673\pi\)
\(632\) 5.54329e7 1.79709e8i 0.219592 0.711899i
\(633\) 4.55635e6 + 6.08003e7i 0.0179641 + 0.239714i
\(634\) 4.11357e7 + 3.28046e7i 0.161418 + 0.128726i
\(635\) 1.84264e8 + 5.97369e8i 0.719647 + 2.33304i
\(636\) −7.01559e7 + 2.75342e7i −0.272705 + 0.107029i
\(637\) −3.84311e6 1.68378e7i −0.0148684 0.0651428i
\(638\) 5.14094e7 8.90437e7i 0.197961 0.342879i
\(639\) −1.34350e7 + 7.75670e6i −0.0514914 + 0.0297286i
\(640\) 2.24976e8 2.08747e8i 0.858214 0.796306i
\(641\) 1.26789e7 1.01111e7i 0.0481401 0.0383904i −0.599124 0.800656i \(-0.704484\pi\)
0.647264 + 0.762266i \(0.275913\pi\)
\(642\) 2.26840e7 + 1.54657e7i 0.0857263 + 0.0584472i
\(643\) 1.46361e7 + 7.04836e6i 0.0550544 + 0.0265128i 0.461208 0.887292i \(-0.347416\pi\)
−0.406154 + 0.913805i \(0.633130\pi\)
\(644\) 1.38376e8i 0.518087i
\(645\) −4.80097e7 + 5.25326e7i −0.178916 + 0.195772i
\(646\) 1.87213e8 0.694447
\(647\) −8.23446e7 + 1.70990e8i −0.304034 + 0.631333i −0.995877 0.0907148i \(-0.971085\pi\)
0.691843 + 0.722048i \(0.256799\pi\)
\(648\) −7.62324e7 + 1.11812e8i −0.280165 + 0.410927i
\(649\) −8.50660e7 1.06669e8i −0.311187 0.390217i
\(650\) 8.63849e6 + 9.31008e6i 0.0314556 + 0.0339011i
\(651\) −1.63068e7 2.82441e7i −0.0591051 0.102373i
\(652\) −1.84136e8 1.06311e8i −0.664348 0.383562i
\(653\) 9.93569e7 2.26776e7i 0.356828 0.0814436i −0.0403493 0.999186i \(-0.512847\pi\)
0.397177 + 0.917742i \(0.369990\pi\)
\(654\) 5.21520e6 + 1.32881e7i 0.0186439 + 0.0475040i
\(655\) −1.74283e8 + 5.37592e7i −0.620199 + 0.191306i
\(656\) 1.93225e8 2.42296e8i 0.684465 0.858292i
\(657\) 2.69930e8 2.02284e7i 0.951819 0.0713290i
\(658\) −2.03576e7 6.27948e6i −0.0714576 0.0220417i
\(659\) −3.29858e8 + 2.24893e8i −1.15258 + 0.785815i −0.979964 0.199174i \(-0.936174\pi\)
−0.172615 + 0.984989i \(0.555222\pi\)
\(660\) −5.54257e7 + 8.35408e6i −0.192788 + 0.0290581i
\(661\) 6.90644e7 3.02591e8i 0.239139 1.04774i −0.702651 0.711534i \(-0.748001\pi\)
0.941790 0.336201i \(-0.109142\pi\)
\(662\) −9.64427e7 8.94857e7i −0.332426 0.308447i
\(663\) −2.58102e7 1.93421e6i −0.0885627 0.00663686i
\(664\) 1.65201e8 + 6.48364e7i 0.564296 + 0.221470i
\(665\) 7.65949e7 5.08174e8i 0.260456 1.72801i
\(666\) 6.62215e7 3.18906e7i 0.224169 0.107954i
\(667\) 1.35871e8 + 2.82139e8i 0.457877 + 0.950792i
\(668\) 5.46271e7 + 8.23371e6i 0.183265 + 0.0276227i
\(669\) −1.58538e7 + 4.03949e7i −0.0529487 + 0.134911i
\(670\) −957286. + 1.27741e7i −0.00318286 + 0.0424723i
\(671\) −1.43260e8 + 1.54398e8i −0.474197 + 0.511062i
\(672\) −4.43642e7 1.01258e7i −0.146192 0.0333674i
\(673\) −2.43678e7 1.61670e8i −0.0799414 0.530377i −0.992578 0.121606i \(-0.961196\pi\)
0.912637 0.408771i \(-0.134042\pi\)
\(674\) 5.22063e7 + 7.65726e7i 0.170507 + 0.250088i
\(675\) 2.01191e7 6.52244e7i 0.0654179 0.212080i
\(676\) −1.92269e7 2.56565e8i −0.0622399 0.830534i
\(677\) 3.90196e8 + 3.11171e8i 1.25753 + 1.00284i 0.999324 + 0.0367535i \(0.0117016\pi\)
0.258203 + 0.966091i \(0.416870\pi\)
\(678\) −2.45900e6 7.97187e6i −0.00788985 0.0255783i
\(679\) −4.20055e8 + 1.64859e8i −1.34183 + 0.526629i
\(680\) −7.12185e7 3.12028e8i −0.226499 0.992356i
\(681\) 1.62363e7 2.81222e7i 0.0514099 0.0890446i
\(682\) −4.20887e7 + 2.42999e7i −0.132682 + 0.0766041i
\(683\) 1.91576e8 1.77757e8i 0.601284 0.557910i −0.319696 0.947520i \(-0.603581\pi\)
0.920980 + 0.389610i \(0.127390\pi\)
\(684\) −3.49574e8 + 2.78776e8i −1.09237 + 0.871138i
\(685\) 6.56806e7 + 4.47803e7i 0.204346 + 0.139321i
\(686\) −9.46475e7 4.55798e7i −0.293182 0.141189i
\(687\) 6.88651e7i 0.212387i
\(688\) −1.05571e8 2.15049e8i −0.324175 0.660348i
\(689\) 1.42358e8 0.435236
\(690\) −7.40413e6 + 1.53748e7i −0.0225386 + 0.0468019i
\(691\) −2.77524e8 + 4.07053e8i −0.841137 + 1.23372i 0.129116 + 0.991630i \(0.458786\pi\)
−0.970253 + 0.242092i \(0.922166\pi\)
\(692\) 1.63912e8 + 2.05539e8i 0.494642 + 0.620262i
\(693\) −1.53166e8 1.65074e8i −0.460218 0.495997i
\(694\) 7.60041e7 + 1.31643e8i 0.227383 + 0.393839i
\(695\) −5.14385e8 2.96981e8i −1.53227 0.884654i
\(696\) 6.58866e7 1.50382e7i 0.195420 0.0446034i
\(697\) −2.63994e8 6.72647e8i −0.779644 1.98650i
\(698\) −1.31933e8 + 4.06958e7i −0.387959 + 0.119670i
\(699\) −2.63070e7 + 3.29879e7i −0.0770263 + 0.0965880i
\(700\) −1.44464e8 + 1.08261e7i −0.421179 + 0.0315630i
\(701\) −5.69114e8 1.75548e8i −1.65213 0.509616i −0.677899 0.735155i \(-0.737109\pi\)
−0.974234 + 0.225539i \(0.927586\pi\)
\(702\) −1.04569e7 + 7.12942e6i −0.0302269 + 0.0206083i
\(703\) 4.78795e8 7.21667e7i 1.37811 0.207717i
\(704\) 3.10944e7 1.36233e8i 0.0891176 0.390450i
\(705\) −1.92667e7 1.78769e7i −0.0549844 0.0510181i
\(706\) 1.06709e8 + 7.99672e6i 0.303240 + 0.0227247i
\(707\) −2.68391e8 1.05336e8i −0.759469 0.298070i
\(708\) 6.36469e6 4.22270e7i 0.0179340 0.118984i
\(709\) −1.59318e8 + 7.67236e7i −0.447019 + 0.215273i −0.643830 0.765168i \(-0.722656\pi\)
0.196811 + 0.980441i \(0.436941\pi\)
\(710\) −3.60847e6 7.49306e6i −0.0100820 0.0209355i
\(711\) 4.38916e8 + 6.61560e7i 1.22116 + 0.184060i
\(712\) 3.54531e7 9.03330e7i 0.0982232 0.250269i
\(713\) 1.10614e7 1.47605e8i 0.0305171 0.407222i
\(714\) −2.00731e7 + 2.16337e7i −0.0551468 + 0.0594341i
\(715\) 1.03222e8 + 2.35597e7i 0.282392 + 0.0644542i
\(716\) 6.32339e7 + 4.19529e8i 0.172270 + 1.14294i
\(717\) −4.20743e6 6.17117e6i −0.0114146 0.0167421i
\(718\) 1.60488e7 5.20290e7i 0.0433580 0.140563i
\(719\) 4.83375e7 + 6.45019e8i 0.130046 + 1.73534i 0.556511 + 0.830840i \(0.312140\pi\)
−0.426465 + 0.904504i \(0.640241\pi\)
\(720\) 2.53294e8 + 2.01996e8i 0.678622 + 0.541183i
\(721\) −4.51899e7 1.46502e8i −0.120569 0.390875i
\(722\) 1.68470e8 6.61194e7i 0.447620 0.175678i
\(723\) 3.76183e6 + 1.64817e7i 0.00995369 + 0.0436100i
\(724\) 2.04911e8 3.54916e8i 0.539945 0.935211i
\(725\) 2.83923e8 1.63923e8i 0.745051 0.430155i
\(726\) −6.27657e6 + 5.82380e6i −0.0164026 + 0.0152194i
\(727\) 3.10868e7 2.47909e7i 0.0809046 0.0645193i −0.582202 0.813044i \(-0.697809\pi\)
0.663107 + 0.748525i \(0.269237\pi\)
\(728\) 4.66065e7 + 3.17758e7i 0.120796 + 0.0823572i
\(729\) −2.56409e8 1.23480e8i −0.661836 0.318724i
\(730\) 1.45114e8i 0.373027i
\(731\) −5.57319e8 3.75333e7i −1.42676 0.0960870i
\(732\) −6.59247e7 −0.168079
\(733\) −1.30618e8 + 2.71230e8i −0.331658 + 0.688694i −0.998397 0.0565965i \(-0.981975\pi\)
0.666739 + 0.745291i \(0.267689\pi\)
\(734\) 1.09718e8 1.60927e8i 0.277453 0.406949i
\(735\) −1.51475e7 1.89943e7i −0.0381485 0.0478368i
\(736\) −1.40474e8 1.51395e8i −0.352342 0.379734i
\(737\) 1.84888e7 + 3.20235e7i 0.0461855 + 0.0799956i
\(738\) −1.49399e8 8.62554e7i −0.371687 0.214594i
\(739\) 2.68359e8 6.12511e7i 0.664940 0.151768i 0.123288 0.992371i \(-0.460656\pi\)
0.541652 + 0.840603i \(0.317799\pi\)
\(740\) −1.44012e8 3.66937e8i −0.355389 0.905517i
\(741\) −3.88982e7 + 1.19985e7i −0.0956037 + 0.0294898i
\(742\) 1.01205e8 1.26907e8i 0.247736 0.310651i
\(743\) −1.42759e8 + 1.06983e7i −0.348047 + 0.0260825i −0.247607 0.968861i \(-0.579644\pi\)
−0.100440 + 0.994943i \(0.532025\pi\)
\(744\) −3.05247e7 9.41562e6i −0.0741195 0.0228628i
\(745\) −6.32764e8 + 4.31411e8i −1.53029 + 1.04333i
\(746\) 5.47563e7 8.25318e6i 0.131892 0.0198795i
\(747\) −9.32062e7 + 4.08363e8i −0.223606 + 0.979681i
\(748\) −3.22506e8 2.99242e8i −0.770606 0.715018i
\(749\) 5.89881e8 + 4.42054e7i 1.40384 + 0.105204i
\(750\) −1.47669e7 5.79558e6i −0.0350030 0.0137377i
\(751\) 5.47912e7 3.63516e8i 0.129357 0.858230i −0.826190 0.563392i \(-0.809496\pi\)
0.955547 0.294838i \(-0.0952658\pi\)
\(752\) 7.97136e7 3.83881e7i 0.187447 0.0902698i
\(753\) 4.34082e7 + 9.01380e7i 0.101669 + 0.211117i
\(754\) −6.01097e7 9.06008e6i −0.140227 0.0211358i
\(755\) −1.31077e8 + 3.33979e8i −0.304569 + 0.776030i
\(756\) 1.07883e7 1.43960e8i 0.0249682 0.333177i
\(757\) 1.58129e8 1.70422e8i 0.364522 0.392861i −0.523983 0.851729i \(-0.675554\pi\)
0.888504 + 0.458868i \(0.151745\pi\)
\(758\) 3.92350e7 + 8.95513e6i 0.0900877 + 0.0205619i
\(759\) 7.34180e6 + 4.87097e7i 0.0167910 + 0.111401i
\(760\) −2.83554e8 4.15897e8i −0.645943 0.947425i
\(761\) −2.00711e8 + 6.50688e8i −0.455425 + 1.47645i 0.379036 + 0.925382i \(0.376256\pi\)
−0.834460 + 0.551068i \(0.814220\pi\)
\(762\) −4.21928e6 5.63024e7i −0.00953616 0.127251i
\(763\) 2.40465e8 + 1.91765e8i 0.541351 +