Properties

Label 43.7.h.a.18.20
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 18.20
Character \(\chi\) \(=\) 43.18
Dual form 43.7.h.a.12.20

$q$-expansion

\(f(q)\) \(=\) \(q+(6.34296 - 13.1713i) q^{2} +(10.7567 - 15.7772i) q^{3} +(-93.3463 - 117.053i) q^{4} +(-134.366 - 144.812i) q^{5} +(-139.577 - 241.754i) q^{6} +(570.233 + 329.224i) q^{7} +(-1221.67 + 278.837i) q^{8} +(133.120 + 339.185i) q^{9} +O(q^{10})\) \(q+(6.34296 - 13.1713i) q^{2} +(10.7567 - 15.7772i) q^{3} +(-93.3463 - 117.053i) q^{4} +(-134.366 - 144.812i) q^{5} +(-139.577 - 241.754i) q^{6} +(570.233 + 329.224i) q^{7} +(-1221.67 + 278.837i) q^{8} +(133.120 + 339.185i) q^{9} +(-2759.64 + 851.237i) q^{10} +(745.090 - 934.314i) q^{11} +(-2850.86 + 213.643i) q^{12} +(815.676 + 251.603i) q^{13} +(7953.27 - 5422.45i) q^{14} +(-3730.07 + 562.218i) q^{15} +(-1944.17 + 8517.98i) q^{16} +(-4602.80 - 4270.77i) q^{17} +(5311.88 + 398.070i) q^{18} +(-1274.80 - 500.323i) q^{19} +(-4408.06 + 29245.6i) q^{20} +(11328.1 - 5455.32i) q^{21} +(-7580.04 - 15740.1i) q^{22} +(-9950.59 - 1499.81i) q^{23} +(-8741.84 + 22273.8i) q^{24} +(-1748.67 + 23334.4i) q^{25} +(8487.73 - 9147.60i) q^{26} +(20354.7 + 4645.83i) q^{27} +(-14692.6 - 97479.2i) q^{28} +(15643.3 + 22944.5i) q^{29} +(-16254.6 + 52696.0i) q^{30} +(-2036.95 - 27181.2i) q^{31} +(37160.1 + 29634.2i) q^{32} +(-6726.14 - 21805.6i) q^{33} +(-85446.9 + 33535.4i) q^{34} +(-28944.3 - 126813. i) q^{35} +(27276.2 - 47243.7i) q^{36} +(15416.6 - 8900.75i) q^{37} +(-14675.9 + 13617.3i) q^{38} +(12743.6 - 10162.7i) q^{39} +(204529. + 139446. i) q^{40} +(8652.63 + 4166.88i) q^{41} -183808. i q^{42} +(63023.4 + 48470.8i) q^{43} -178915. q^{44} +(31231.3 - 64852.4i) q^{45} +(-82870.6 + 121549. i) q^{46} +(-62817.8 - 78771.0i) q^{47} +(113477. + 122299. i) q^{48} +(157953. + 273582. i) q^{49} +(296253. + 171041. i) q^{50} +(-116892. + 26679.8i) q^{51} +(-46689.6 - 118963. i) q^{52} +(145066. - 44747.0i) q^{53} +(190301. - 238630. i) q^{54} +(-235415. + 17641.9i) q^{55} +(-788434. - 243200. i) q^{56} +(-21606.4 + 14731.0i) q^{57} +(401432. - 60506.2i) q^{58} +(50111.9 - 219554. i) q^{59} +(413998. + 384134. i) q^{60} +(177268. + 13284.4i) q^{61} +(-370932. - 145580. i) q^{62} +(-35758.3 + 237241. i) q^{63} +(122231. - 58863.3i) q^{64} +(-73164.1 - 151927. i) q^{65} +(-329871. - 49720.1i) q^{66} +(20337.2 - 51818.3i) q^{67} +(-70250.7 + 937430. i) q^{68} +(-130699. + 140860. i) q^{69} +(-1.85389e6 - 423138. i) q^{70} +(12118.0 + 80397.9i) q^{71} +(-257206. - 377251. i) q^{72} +(-155599. + 504441. i) q^{73} +(-19447.8 - 259513. i) q^{74} +(349342. + 278591. i) q^{75} +(60434.0 + 195922. i) q^{76} +(732474. - 287475. i) q^{77} +(-53023.4 - 232311. i) q^{78} +(110504. - 191398. i) q^{79} +(1.49474e6 - 862987. i) q^{80} +(97529.7 - 90494.3i) q^{81} +(109766. - 87535.8i) q^{82} +(553695. + 377503. i) q^{83} +(-1.69599e6 - 816748. i) q^{84} +1.24039e6i q^{85} +(1.03818e6 - 522651. i) q^{86} +530270. q^{87} +(-649730. + 1.34918e6i) q^{88} +(-50358.2 + 73861.9i) q^{89} +(-656091. - 822712. i) q^{90} +(382292. + 412013. i) q^{91} +(753295. + 1.30474e6i) q^{92} +(-450755. - 260243. i) q^{93} +(-1.43597e6 + 327750. i) q^{94} +(98837.4 + 251834. i) q^{95} +(867266. - 267516. i) q^{96} +(657462. - 824431. i) q^{97} +(4.60532e6 - 345121. i) q^{98} +(416092. + 128347. 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 6.34296 13.1713i 0.792870 1.64641i 0.0302685 0.999542i \(-0.490364\pi\)
0.762601 0.646869i \(-0.223922\pi\)
\(3\) 10.7567 15.7772i 0.398397 0.584341i −0.573658 0.819095i \(-0.694476\pi\)
0.972055 + 0.234754i \(0.0754284\pi\)
\(4\) −93.3463 117.053i −1.45854 1.82895i
\(5\) −134.366 144.812i −1.07493 1.15850i −0.986726 0.162396i \(-0.948078\pi\)
−0.0882033 0.996102i \(-0.528113\pi\)
\(6\) −139.577 241.754i −0.646189 1.11923i
\(7\) 570.233 + 329.224i 1.66249 + 0.959838i 0.971522 + 0.236950i \(0.0761478\pi\)
0.690966 + 0.722888i \(0.257186\pi\)
\(8\) −1221.67 + 278.837i −2.38607 + 0.544604i
\(9\) 133.120 + 339.185i 0.182607 + 0.465274i
\(10\) −2759.64 + 851.237i −2.75964 + 0.851237i
\(11\) 745.090 934.314i 0.559797 0.701964i −0.418723 0.908114i \(-0.637522\pi\)
0.978520 + 0.206150i \(0.0660936\pi\)
\(12\) −2850.86 + 213.643i −1.64981 + 0.123636i
\(13\) 815.676 + 251.603i 0.371268 + 0.114521i 0.474774 0.880108i \(-0.342530\pi\)
−0.103506 + 0.994629i \(0.533006\pi\)
\(14\) 7953.27 5422.45i 2.89842 1.97611i
\(15\) −3730.07 + 562.218i −1.10521 + 0.166583i
\(16\) −1944.17 + 8517.98i −0.474651 + 2.07958i
\(17\) −4602.80 4270.77i −0.936861 0.869280i 0.0547550 0.998500i \(-0.482562\pi\)
−0.991616 + 0.129220i \(0.958753\pi\)
\(18\) 5311.88 + 398.070i 0.910816 + 0.0682562i
\(19\) −1274.80 500.323i −0.185858 0.0729441i 0.270587 0.962696i \(-0.412782\pi\)
−0.456445 + 0.889752i \(0.650878\pi\)
\(20\) −4408.06 + 29245.6i −0.551008 + 3.65570i
\(21\) 11328.1 5455.32i 1.22320 0.589063i
\(22\) −7580.04 15740.1i −0.711874 1.47822i
\(23\) −9950.59 1499.81i −0.817835 0.123269i −0.273216 0.961953i \(-0.588087\pi\)
−0.544618 + 0.838684i \(0.683326\pi\)
\(24\) −8741.84 + 22273.8i −0.632367 + 1.61124i
\(25\) −1748.67 + 23334.4i −0.111915 + 1.49340i
\(26\) 8487.73 9147.60i 0.482916 0.520460i
\(27\) 20354.7 + 4645.83i 1.03413 + 0.236033i
\(28\) −14692.6 97479.2i −0.669307 4.44056i
\(29\) 15643.3 + 22944.5i 0.641406 + 0.940770i 0.999974 + 0.00726651i \(0.00231302\pi\)
−0.358567 + 0.933504i \(0.616735\pi\)
\(30\) −16254.6 + 52696.0i −0.602021 + 1.95170i
\(31\) −2036.95 27181.2i −0.0683747 0.912397i −0.920922 0.389747i \(-0.872562\pi\)
0.852547 0.522650i \(-0.175057\pi\)
\(32\) 37160.1 + 29634.2i 1.13404 + 0.904364i
\(33\) −6726.14 21805.6i −0.187165 0.606773i
\(34\) −85446.9 + 33535.4i −2.17400 + 0.853232i
\(35\) −28944.3 126813.i −0.675086 2.95775i
\(36\) 27276.2 47243.7i 0.584623 1.01260i
\(37\) 15416.6 8900.75i 0.304356 0.175720i −0.340042 0.940410i \(-0.610441\pi\)
0.644398 + 0.764690i \(0.277108\pi\)
\(38\) −14675.9 + 13617.3i −0.267457 + 0.248164i
\(39\) 12743.6 10162.7i 0.214831 0.171322i
\(40\) 204529. + 139446.i 3.19577 + 2.17884i
\(41\) 8652.63 + 4166.88i 0.125544 + 0.0604589i 0.495601 0.868550i \(-0.334948\pi\)
−0.370057 + 0.929009i \(0.620662\pi\)
\(42\) 183808.i 2.48094i
\(43\) 63023.4 + 48470.8i 0.792677 + 0.609642i
\(44\) −178915. −2.10034
\(45\) 31231.3 64852.4i 0.342730 0.711686i
\(46\) −82870.6 + 121549.i −0.851387 + 1.24876i
\(47\) −62817.8 78771.0i −0.605047 0.758705i 0.381108 0.924531i \(-0.375543\pi\)
−0.986155 + 0.165825i \(0.946971\pi\)
\(48\) 113477. + 122299.i 1.02609 + 1.10586i
\(49\) 157953. + 273582.i 1.34258 + 2.32541i
\(50\) 296253. + 171041.i 2.37002 + 1.36833i
\(51\) −116892. + 26679.8i −0.881199 + 0.201128i
\(52\) −46689.6 118963.i −0.332055 0.846063i
\(53\) 145066. 44747.0i 0.974404 0.300564i 0.233635 0.972324i \(-0.424938\pi\)
0.740768 + 0.671761i \(0.234462\pi\)
\(54\) 190301. 238630.i 1.20854 1.51546i
\(55\) −235415. + 17641.9i −1.41497 + 0.106037i
\(56\) −788434. 243200.i −4.48953 1.38484i
\(57\) −21606.4 + 14731.0i −0.116670 + 0.0795440i
\(58\) 401432. 60506.2i 2.05745 0.310110i
\(59\) 50111.9 219554.i 0.243997 1.06902i −0.693344 0.720607i \(-0.743863\pi\)
0.937341 0.348414i \(-0.113280\pi\)
\(60\) 413998. + 384134.i 1.91666 + 1.77840i
\(61\) 177268. + 13284.4i 0.780981 + 0.0585264i 0.459253 0.888306i \(-0.348117\pi\)
0.321728 + 0.946832i \(0.395736\pi\)
\(62\) −370932. 145580.i −1.55639 0.610839i
\(63\) −35758.3 + 237241.i −0.143006 + 0.948785i
\(64\) 122231. 58863.3i 0.466274 0.224546i
\(65\) −73164.1 151927.i −0.266414 0.553215i
\(66\) −329871. 49720.1i −1.14739 0.172942i
\(67\) 20337.2 51818.3i 0.0676187 0.172290i −0.893070 0.449918i \(-0.851453\pi\)
0.960689 + 0.277628i \(0.0895484\pi\)
\(68\) −70250.7 + 937430.i −0.223421 + 2.98135i
\(69\) −130699. + 140860.i −0.397854 + 0.428785i
\(70\) −1.85389e6 423138.i −5.40492 1.23364i
\(71\) 12118.0 + 80397.9i 0.0338577 + 0.224631i 0.999360 0.0357623i \(-0.0113859\pi\)
−0.965503 + 0.260393i \(0.916148\pi\)
\(72\) −257206. 377251.i −0.689101 1.01073i
\(73\) −155599. + 504441.i −0.399981 + 1.29671i 0.501977 + 0.864881i \(0.332606\pi\)
−0.901957 + 0.431825i \(0.857870\pi\)
\(74\) −19447.8 259513.i −0.0479927 0.640418i
\(75\) 349342. + 278591.i 0.828070 + 0.660364i
\(76\) 60434.0 + 195922.i 0.137670 + 0.446317i
\(77\) 732474. 287475.i 1.60443 0.629691i
\(78\) −53023.4 232311.i −0.111734 0.489537i
\(79\) 110504. 191398.i 0.224127 0.388200i −0.731930 0.681380i \(-0.761380\pi\)
0.956057 + 0.293180i \(0.0947135\pi\)
\(80\) 1.49474e6 862987.i 2.91941 1.68552i
\(81\) 97529.7 90494.3i 0.183519 0.170281i
\(82\) 109766. 87535.8i 0.199080 0.158761i
\(83\) 553695. + 377503.i 0.968360 + 0.660216i 0.940642 0.339399i \(-0.110224\pi\)
0.0277173 + 0.999616i \(0.491176\pi\)
\(84\) −1.69599e6 816748.i −2.86145 1.37800i
\(85\) 1.24039e6i 2.01977i
\(86\) 1.03818e6 522651.i 1.63221 0.821706i
\(87\) 530270. 0.805265
\(88\) −649730. + 1.34918e6i −0.953421 + 1.97980i
\(89\) −50358.2 + 73861.9i −0.0714332 + 0.104773i −0.860293 0.509800i \(-0.829719\pi\)
0.788860 + 0.614573i \(0.210672\pi\)
\(90\) −656091. 822712.i −0.899987 1.12855i
\(91\) 382292. + 412013.i 0.507307 + 0.546747i
\(92\) 753295. + 1.30474e6i 0.967390 + 1.67557i
\(93\) −450755. 260243.i −0.560391 0.323542i
\(94\) −1.43597e6 + 327750.i −1.72886 + 0.394602i
\(95\) 98837.4 + 251834.i 0.115279 + 0.293726i
\(96\) 867266. 267516.i 0.980254 0.302368i
\(97\) 657462. 824431.i 0.720370 0.903315i −0.277989 0.960584i \(-0.589668\pi\)
0.998359 + 0.0572692i \(0.0182393\pi\)
\(98\) 4.60532e6 345121.i 4.89307 0.366685i
\(99\) 416092. + 128347.i 0.428828 + 0.132276i
\(100\) 2.89459e6 1.97350e6i 2.89459 1.97350i
\(101\) −1.80910e6 + 272678.i −1.75589 + 0.264659i −0.946523 0.322638i \(-0.895430\pi\)
−0.809372 + 0.587296i \(0.800192\pi\)
\(102\) −390033. + 1.70885e6i −0.367537 + 1.61028i
\(103\) 619467. + 574781.i 0.566900 + 0.526006i 0.910717 0.413030i \(-0.135530\pi\)
−0.343818 + 0.939036i \(0.611720\pi\)
\(104\) −1.06664e6 79933.6i −0.948238 0.0710606i
\(105\) −2.31211e6 907435.i −1.99729 0.783877i
\(106\) 330773. 2.19454e6i 0.277724 1.84258i
\(107\) −558457. + 268939.i −0.455867 + 0.219534i −0.647703 0.761893i \(-0.724270\pi\)
0.191836 + 0.981427i \(0.438556\pi\)
\(108\) −1.35623e6 2.81625e6i −1.07662 2.23563i
\(109\) −631478. 95180.0i −0.487617 0.0734964i −0.0993677 0.995051i \(-0.531682\pi\)
−0.388249 + 0.921554i \(0.626920\pi\)
\(110\) −1.26086e6 + 3.21262e6i −0.947303 + 2.41369i
\(111\) 25402.5 338973.i 0.0185741 0.247854i
\(112\) −3.91296e6 + 4.21716e6i −2.78516 + 3.00169i
\(113\) −289747. 66132.9i −0.200809 0.0458334i 0.120933 0.992661i \(-0.461411\pi\)
−0.321742 + 0.946827i \(0.604269\pi\)
\(114\) 56977.7 + 378022.i 0.0384583 + 0.255154i
\(115\) 1.11983e6 + 1.64249e6i 0.736308 + 1.07996i
\(116\) 1.22547e6 3.97286e6i 0.785104 2.54525i
\(117\) 23243.2 + 310158.i 0.0145123 + 0.193654i
\(118\) −2.57396e6 2.05266e6i −1.56659 1.24931i
\(119\) −1.21863e6 3.95069e6i −0.723152 2.34440i
\(120\) 4.40013e6 1.72693e6i 2.54637 0.999378i
\(121\) 76426.8 + 334848.i 0.0431410 + 0.189013i
\(122\) 1.29937e6 2.25058e6i 0.715574 1.23941i
\(123\) 158816. 91692.3i 0.0853450 0.0492740i
\(124\) −2.99149e6 + 2.77570e6i −1.56900 + 1.45582i
\(125\) 1.20081e6 957617.i 0.614817 0.490300i
\(126\) 2.89795e6 + 1.97579e6i 1.44870 + 0.987710i
\(127\) 502892. + 242180.i 0.245507 + 0.118230i 0.552591 0.833452i \(-0.313639\pi\)
−0.307084 + 0.951682i \(0.599353\pi\)
\(128\) 1.05859e6i 0.504773i
\(129\) 1.44266e6 472947.i 0.672039 0.220314i
\(130\) −2.46515e6 −1.12205
\(131\) −616396. + 1.27996e6i −0.274186 + 0.569354i −0.991905 0.126979i \(-0.959472\pi\)
0.717719 + 0.696333i \(0.245186\pi\)
\(132\) −1.92454e6 + 2.82278e6i −0.836769 + 1.22731i
\(133\) −562216. 704997.i −0.238973 0.299663i
\(134\) −553516. 596548.i −0.230047 0.247931i
\(135\) −2.06221e6 3.57186e6i −0.838170 1.45175i
\(136\) 6.81393e6 + 3.93402e6i 2.70882 + 1.56394i
\(137\) 505538. 115386.i 0.196604 0.0448736i −0.123085 0.992396i \(-0.539279\pi\)
0.319689 + 0.947523i \(0.396422\pi\)
\(138\) 1.02629e6 + 2.61493e6i 0.390509 + 0.995001i
\(139\) 1.17226e6 361594.i 0.436494 0.134641i −0.0687172 0.997636i \(-0.521891\pi\)
0.505212 + 0.862995i \(0.331414\pi\)
\(140\) −1.21420e7 + 1.52256e7i −4.42492 + 5.54868i
\(141\) −1.91850e6 + 143772.i −0.684392 + 0.0512881i
\(142\) 1.13581e6 + 350350.i 0.396680 + 0.122359i
\(143\) 842828. 574631.i 0.288225 0.196508i
\(144\) −3.14798e6 + 474481.i −1.05425 + 0.158903i
\(145\) 1.22071e6 5.34829e6i 0.400414 1.75433i
\(146\) 5.65717e6 + 5.24909e6i 1.81778 + 1.68665i
\(147\) 6.01542e6 + 450793.i 1.89371 + 0.141914i
\(148\) −2.48093e6 973695.i −0.765297 0.300357i
\(149\) −443972. + 2.94556e6i −0.134214 + 0.890449i 0.815821 + 0.578305i \(0.196285\pi\)
−0.950035 + 0.312145i \(0.898953\pi\)
\(150\) 5.88526e6 2.83419e6i 1.74378 0.839761i
\(151\) −170129. 353276.i −0.0494136 0.102608i 0.874800 0.484484i \(-0.160993\pi\)
−0.924214 + 0.381876i \(0.875278\pi\)
\(152\) 1.69689e6 + 255765.i 0.483196 + 0.0728301i
\(153\) 835856. 2.12973e6i 0.233376 0.594633i
\(154\) 859638. 1.14711e7i 0.235371 3.14081i
\(155\) −3.66248e6 + 3.94721e6i −0.983512 + 1.05997i
\(156\) −2.37913e6 543022.i −0.626679 0.143035i
\(157\) −475690. 3.15600e6i −0.122921 0.815526i −0.962302 0.271983i \(-0.912321\pi\)
0.839381 0.543543i \(-0.182918\pi\)
\(158\) −1.82004e6 2.66950e6i −0.461433 0.676798i
\(159\) 854454. 2.77007e6i 0.212568 0.689128i
\(160\) −701665. 9.36308e6i −0.171305 2.28591i
\(161\) −5.18039e6 4.13122e6i −1.24132 0.989921i
\(162\) −573300. 1.85859e6i −0.134846 0.437159i
\(163\) −6.31115e6 + 2.47694e6i −1.45729 + 0.571944i −0.956008 0.293341i \(-0.905233\pi\)
−0.501281 + 0.865285i \(0.667138\pi\)
\(164\) −319946. 1.40178e6i −0.0725346 0.317795i
\(165\) −2.25395e6 + 3.90396e6i −0.501757 + 0.869068i
\(166\) 8.48427e6 4.89840e6i 1.85477 1.07085i
\(167\) 251780. 233618.i 0.0540595 0.0501599i −0.652680 0.757633i \(-0.726356\pi\)
0.706740 + 0.707473i \(0.250165\pi\)
\(168\) −1.23180e7 + 9.82326e6i −2.59784 + 2.07170i
\(169\) −3.38607e6 2.30859e6i −0.701514 0.478284i
\(170\) 1.63375e7 + 7.86773e6i 3.32536 + 1.60141i
\(171\) 498997.i 0.0997952i
\(172\) −209371. 1.19016e7i −0.0411463 2.33895i
\(173\) 6.83701e6 1.32047 0.660234 0.751060i \(-0.270457\pi\)
0.660234 + 0.751060i \(0.270457\pi\)
\(174\) 3.36348e6 6.98433e6i 0.638470 1.32580i
\(175\) −8.67941e6 + 1.27304e7i −1.61948 + 2.37534i
\(176\) 6.50988e6 + 8.16313e6i 1.19408 + 1.49733i
\(177\) −2.92492e6 3.15231e6i −0.527465 0.568472i
\(178\) 653437. + 1.13179e6i 0.115863 + 0.200680i
\(179\) −4.15666e6 2.39985e6i −0.724745 0.418432i 0.0917515 0.995782i \(-0.470753\pi\)
−0.816497 + 0.577350i \(0.804087\pi\)
\(180\) −1.05065e7 + 2.39803e6i −1.80152 + 0.411185i
\(181\) 3.04741e6 + 7.76467e6i 0.513919 + 1.30944i 0.918673 + 0.395019i \(0.129262\pi\)
−0.404754 + 0.914426i \(0.632643\pi\)
\(182\) 7.85160e6 2.42190e6i 1.30240 0.401737i
\(183\) 2.11641e6 2.65389e6i 0.345340 0.433042i
\(184\) 1.25745e7 942328.i 2.01854 0.151269i
\(185\) −3.36040e6 1.03655e6i −0.530733 0.163709i
\(186\) −6.28686e6 + 4.28631e6i −0.977001 + 0.666108i
\(187\) −7.41974e6 + 1.11835e6i −1.13466 + 0.171022i
\(188\) −3.35654e6 + 1.47060e7i −0.505148 + 2.21320i
\(189\) 1.00774e7 + 9.35048e6i 1.49267 + 1.38500i
\(190\) 3.94389e6 + 295554.i 0.574995 + 0.0430900i
\(191\) 1.02549e7 + 4.02475e6i 1.47174 + 0.577615i 0.959620 0.281299i \(-0.0907654\pi\)
0.512119 + 0.858914i \(0.328861\pi\)
\(192\) 386105. 2.56164e6i 0.0545509 0.361922i
\(193\) 1.54269e6 742922.i 0.214589 0.103341i −0.323502 0.946228i \(-0.604860\pi\)
0.538091 + 0.842887i \(0.319146\pi\)
\(194\) −6.68857e6 1.38890e7i −0.916068 1.90224i
\(195\) −3.18399e6 479909.i −0.429405 0.0647224i
\(196\) 1.72792e7 4.40267e7i 2.29486 5.84720i
\(197\) −204222. + 2.72516e6i −0.0267119 + 0.356445i 0.967792 + 0.251749i \(0.0810059\pi\)
−0.994504 + 0.104696i \(0.966613\pi\)
\(198\) 4.32975e6 4.66636e6i 0.557786 0.601150i
\(199\) 5.35953e6 + 1.22328e6i 0.680092 + 0.155226i 0.548593 0.836090i \(-0.315164\pi\)
0.131499 + 0.991316i \(0.458021\pi\)
\(200\) −4.37021e6 2.89944e7i −0.546276 3.62431i
\(201\) −598787. 878259.i −0.0737368 0.108152i
\(202\) −7.88352e6 + 2.55578e7i −0.956459 + 3.10076i
\(203\) 1.36644e6 + 1.82338e7i 0.163343 + 2.17967i
\(204\) 1.40344e7 + 1.11920e7i 1.65311 + 1.31831i
\(205\) −559204. 1.81289e6i −0.0649096 0.210432i
\(206\) 1.14999e7 4.51336e6i 1.31550 0.516295i
\(207\) −815912. 3.57475e6i −0.0919883 0.403027i
\(208\) −3.72896e6 + 6.45875e6i −0.414379 + 0.717726i
\(209\) −1.41730e6 + 818280.i −0.155247 + 0.0896320i
\(210\) −2.66177e7 + 2.46976e7i −2.87417 + 2.66684i
\(211\) 6.34488e6 5.05987e6i 0.675424 0.538632i −0.224612 0.974448i \(-0.572112\pi\)
0.900036 + 0.435816i \(0.143540\pi\)
\(212\) −1.87792e7 1.28034e7i −1.97092 1.34375i
\(213\) 1.39880e6 + 673629.i 0.144750 + 0.0697079i
\(214\) 9.06146e6i 0.924606i
\(215\) −1.44905e6 1.56394e7i −0.145803 1.57364i
\(216\) −2.61621e7 −2.59604
\(217\) 7.78718e6 1.61702e7i 0.762081 1.58248i
\(218\) −5.25908e6 + 7.71366e6i −0.507622 + 0.744545i
\(219\) 6.28493e6 + 7.88105e6i 0.598368 + 0.750329i
\(220\) 2.40402e7 + 2.59091e7i 2.25772 + 2.43324i
\(221\) −2.67985e6 4.64164e6i −0.248276 0.430026i
\(222\) −4.30359e6 2.48468e6i −0.393343 0.227097i
\(223\) −1.72566e7 + 3.93872e6i −1.55612 + 0.355173i −0.912142 0.409875i \(-0.865572\pi\)
−0.643973 + 0.765048i \(0.722715\pi\)
\(224\) 1.14336e7 + 2.91324e7i 1.01728 + 2.59199i
\(225\) −8.14746e6 + 2.51316e6i −0.715278 + 0.220634i
\(226\) −2.70891e6 + 3.39686e6i −0.234676 + 0.294275i
\(227\) 1.02721e7 769786.i 0.878174 0.0658101i 0.371991 0.928236i \(-0.378675\pi\)
0.506183 + 0.862426i \(0.331056\pi\)
\(228\) 3.74118e6 + 1.15400e6i 0.315649 + 0.0973648i
\(229\) −1.37728e7 + 9.39010e6i −1.14687 + 0.781923i −0.978995 0.203885i \(-0.934643\pi\)
−0.167876 + 0.985808i \(0.553691\pi\)
\(230\) 2.87368e7 4.33137e6i 2.36186 0.355993i
\(231\) 3.34347e6 1.46487e7i 0.271245 1.18840i
\(232\) −2.55086e7 2.36685e7i −2.04278 1.89543i
\(233\) 5.93619e6 + 444856.i 0.469289 + 0.0351683i 0.307276 0.951620i \(-0.400582\pi\)
0.162012 + 0.986789i \(0.448202\pi\)
\(234\) 4.23261e6 + 1.66118e6i 0.330340 + 0.129649i
\(235\) −2.96643e6 + 1.96809e7i −0.228576 + 1.51650i
\(236\) −3.03772e7 + 1.46289e7i −2.31106 + 1.11295i
\(237\) −1.83107e6 3.80225e6i −0.137550 0.285625i
\(238\) −5.97654e7 9.00818e6i −4.43321 0.668199i
\(239\) −6.65185e6 + 1.69486e7i −0.487246 + 1.24148i 0.450067 + 0.892995i \(0.351400\pi\)
−0.937313 + 0.348488i \(0.886695\pi\)
\(240\) 2.46295e6 3.28657e7i 0.178164 2.37744i
\(241\) 1.40379e7 1.51292e7i 1.00288 1.08085i 0.00615769 0.999981i \(-0.498040\pi\)
0.996725 0.0808691i \(-0.0257696\pi\)
\(242\) 4.89515e6 + 1.11729e6i 0.345398 + 0.0788348i
\(243\) 1.88980e6 + 1.25380e7i 0.131704 + 0.873797i
\(244\) −1.49923e7 2.19897e7i −1.03205 1.51373i
\(245\) 1.83946e7 5.96337e7i 1.25081 4.05502i
\(246\) −200344. 2.67341e6i −0.0134577 0.179581i
\(247\) −913944. 728846.i −0.0606497 0.0483665i
\(248\) 1.00676e7 + 3.26384e7i 0.660041 + 2.13980i
\(249\) 1.19119e7 4.67507e6i 0.771583 0.302824i
\(250\) −4.99634e6 2.18904e7i −0.319766 1.40098i
\(251\) −6.19701e6 + 1.07335e7i −0.391887 + 0.678768i −0.992698 0.120622i \(-0.961511\pi\)
0.600811 + 0.799391i \(0.294844\pi\)
\(252\) 3.11076e7 1.79600e7i 1.94386 1.12229i
\(253\) −8.81539e6 + 8.17948e6i −0.544352 + 0.505085i
\(254\) 6.37965e6 5.08760e6i 0.389310 0.310464i
\(255\) 1.95699e7 + 1.33425e7i 1.18023 + 0.804669i
\(256\) 2.17657e7 + 1.04818e7i 1.29734 + 0.624765i
\(257\) 6.71552e6i 0.395622i 0.980240 + 0.197811i \(0.0633832\pi\)
−0.980240 + 0.197811i \(0.936617\pi\)
\(258\) 2.92141e6 2.20016e7i 0.170111 1.28113i
\(259\) 1.17214e7 0.674651
\(260\) −1.09538e7 + 2.27459e7i −0.623226 + 1.29414i
\(261\) −5.69997e6 + 8.36033e6i −0.320591 + 0.470221i
\(262\) 1.29489e7 + 1.62375e7i 0.719996 + 0.902847i
\(263\) 8.26110e6 + 8.90335e6i 0.454120 + 0.489425i 0.918060 0.396442i \(-0.129755\pi\)
−0.463940 + 0.885867i \(0.653565\pi\)
\(264\) 1.42973e7 + 2.47637e7i 0.777038 + 1.34587i
\(265\) −2.59719e7 1.49949e7i −1.39562 0.805760i
\(266\) −1.28518e7 + 2.93335e6i −0.682842 + 0.155854i
\(267\) 623646. + 1.58902e6i 0.0327646 + 0.0834828i
\(268\) −7.96387e6 + 2.45653e6i −0.413733 + 0.127620i
\(269\) 1.34526e6 1.68690e6i 0.0691113 0.0866628i −0.746074 0.665863i \(-0.768064\pi\)
0.815185 + 0.579200i \(0.196635\pi\)
\(270\) −6.01265e7 + 4.50586e6i −3.05474 + 0.228921i
\(271\) −1.37671e7 4.24658e6i −0.691726 0.213369i −0.0710922 0.997470i \(-0.522648\pi\)
−0.620634 + 0.784101i \(0.713125\pi\)
\(272\) 4.53270e7 3.09034e7i 2.25242 1.53568i
\(273\) 1.06126e7 1.59959e6i 0.521596 0.0786180i
\(274\) 1.68683e6 7.39048e6i 0.0820010 0.359270i
\(275\) 2.04987e7 + 1.90201e7i 0.985665 + 0.914563i
\(276\) 2.86882e7 + 2.14988e6i 1.36451 + 0.102256i
\(277\) −2.56998e7 1.00864e7i −1.20918 0.474568i −0.326794 0.945096i \(-0.605968\pi\)
−0.882385 + 0.470528i \(0.844064\pi\)
\(278\) 2.67293e6 1.77337e7i 0.124409 0.825402i
\(279\) 8.94830e6 4.30927e6i 0.412029 0.198423i
\(280\) 7.07205e7 + 1.46853e8i 3.22160 + 6.68972i
\(281\) −2.60681e6 392914.i −0.117487 0.0177084i 0.0900354 0.995939i \(-0.471302\pi\)
−0.207523 + 0.978230i \(0.566540\pi\)
\(282\) −1.02753e7 + 2.61811e7i −0.458192 + 1.16745i
\(283\) 3.08374e6 4.11496e7i 0.136056 1.81554i −0.344726 0.938703i \(-0.612028\pi\)
0.480783 0.876840i \(-0.340353\pi\)
\(284\) 8.27961e6 8.92329e6i 0.361455 0.389556i
\(285\) 5.03640e6 + 1.14953e6i 0.217563 + 0.0496574i
\(286\) −2.22260e6 1.47460e7i −0.0950087 0.630341i
\(287\) 3.56217e6 + 5.22475e6i 0.150685 + 0.221014i
\(288\) −5.10471e6 + 1.65491e7i −0.213695 + 0.692781i
\(289\) 1.14245e6 + 1.52449e7i 0.0473308 + 0.631585i
\(290\) −6.27010e7 5.00024e7i −2.57087 2.05020i
\(291\) −5.93509e6 1.92411e7i −0.240851 0.780820i
\(292\) 7.35707e7 2.88744e7i 2.95499 1.15975i
\(293\) −3.32458e6 1.45659e7i −0.132170 0.579076i −0.997027 0.0770569i \(-0.975448\pi\)
0.864856 0.502020i \(-0.167409\pi\)
\(294\) 4.40931e7 7.63715e7i 1.73512 3.00531i
\(295\) −3.85275e7 + 2.22439e7i −1.50074 + 0.866451i
\(296\) −1.63520e7 + 1.51724e7i −0.630516 + 0.585033i
\(297\) 1.95068e7 1.55561e7i 0.744588 0.593789i
\(298\) 3.59807e7 + 2.45312e7i 1.35963 + 0.926981i
\(299\) −7.73910e6 3.72696e6i −0.289519 0.139425i
\(300\) 6.68968e7i 2.47766i
\(301\) 1.99803e7 + 4.83885e7i 0.732659 + 1.77436i
\(302\) −5.73221e6 −0.208114
\(303\) −1.51579e7 + 3.14757e7i −0.544892 + 1.13148i
\(304\) 6.74018e6 9.88603e6i 0.239911 0.351885i
\(305\) −2.18950e7 2.74555e7i −0.771696 0.967676i
\(306\) −2.27494e7 2.45180e7i −0.793974 0.855700i
\(307\) −7.70408e6 1.33439e7i −0.266260 0.461176i 0.701633 0.712539i \(-0.252455\pi\)
−0.967893 + 0.251363i \(0.919121\pi\)
\(308\) −1.02023e8 5.89033e7i −3.49179 2.01598i
\(309\) 1.57319e7 3.59070e6i 0.533218 0.121704i
\(310\) 2.87589e7 + 7.32765e7i 0.965356 + 2.45969i
\(311\) 4.28883e7 1.32293e7i 1.42580 0.439801i 0.516623 0.856213i \(-0.327189\pi\)
0.909176 + 0.416413i \(0.136713\pi\)
\(312\) −1.27347e7 + 1.59688e7i −0.419299 + 0.525784i
\(313\) 1.43288e7 1.07380e6i 0.467280 0.0350178i 0.160990 0.986956i \(-0.448531\pi\)
0.306290 + 0.951938i \(0.400912\pi\)
\(314\) −4.45858e7 1.37529e7i −1.44015 0.444228i
\(315\) 3.91601e7 2.66989e7i 1.25289 0.854204i
\(316\) −3.27187e7 + 4.93155e6i −1.03690 + 0.156287i
\(317\) −1.03178e7 + 4.52054e7i −0.323900 + 1.41910i 0.506649 + 0.862153i \(0.330884\pi\)
−0.830549 + 0.556946i \(0.811973\pi\)
\(318\) −3.10657e7 2.88247e7i −0.966049 0.896363i
\(319\) 3.30930e7 + 2.47997e6i 1.01944 + 0.0763968i
\(320\) −2.49478e7 9.79130e6i −0.761347 0.298807i
\(321\) −1.76406e6 + 1.17038e7i −0.0533334 + 0.353844i
\(322\) −8.72724e7 + 4.20282e7i −2.61402 + 1.25885i
\(323\) 3.73089e6 + 7.74728e6i 0.110715 + 0.229901i
\(324\) −1.96966e7 2.96879e6i −0.579105 0.0872860i
\(325\) −7.29735e6 + 1.85934e7i −0.212577 + 0.541636i
\(326\) −7.40682e6 + 9.88371e7i −0.213786 + 2.85277i
\(327\) −8.29431e6 + 8.93914e6i −0.237212 + 0.255654i
\(328\) −1.17325e7 2.67787e6i −0.332483 0.0758870i
\(329\) −9.88746e6 6.55990e7i −0.277650 1.84208i
\(330\) 3.71235e7 + 5.44501e7i 1.03302 + 1.51516i
\(331\) 3.75668e6 1.21788e7i 0.103590 0.335832i −0.888909 0.458085i \(-0.848536\pi\)
0.992499 + 0.122253i \(0.0390118\pi\)
\(332\) −7.49771e6 1.00050e8i −0.204887 2.73403i
\(333\) 5.07125e6 + 4.04419e6i 0.137335 + 0.109521i
\(334\) −1.48002e6 4.79810e6i −0.0397216 0.128774i
\(335\) −1.02366e7 + 4.01755e6i −0.272282 + 0.106863i
\(336\) 2.44445e7 + 1.07098e8i 0.644412 + 2.82335i
\(337\) −2.45950e7 + 4.25998e7i −0.642624 + 1.11306i 0.342221 + 0.939620i \(0.388821\pi\)
−0.984845 + 0.173438i \(0.944512\pi\)
\(338\) −5.18848e7 + 2.99557e7i −1.34366 + 0.775763i
\(339\) −4.16012e6 + 3.86003e6i −0.106784 + 0.0990813i
\(340\) 1.45191e8 1.15786e8i 3.69404 2.94590i
\(341\) −2.69135e7 1.83493e7i −0.678746 0.462761i
\(342\) −6.57243e6 3.16512e6i −0.164304 0.0791246i
\(343\) 1.30542e8i 3.23495i
\(344\) −9.05089e7 4.16418e7i −2.22339 1.02295i
\(345\) 3.79597e7 0.924411
\(346\) 4.33668e7 9.00522e7i 1.04696 2.17403i
\(347\) 3.03983e7 4.45861e7i 0.727546 1.06711i −0.267089 0.963672i \(-0.586062\pi\)
0.994635 0.103443i \(-0.0329858\pi\)
\(348\) −4.94987e7 6.20694e7i −1.17451 1.47279i
\(349\) −2.57185e7 2.77180e7i −0.605020 0.652057i 0.354050 0.935227i \(-0.384804\pi\)
−0.959070 + 0.283170i \(0.908614\pi\)
\(350\) 1.12622e8 + 1.95067e8i 2.62675 + 4.54967i
\(351\) 1.54340e7 + 8.91080e6i 0.356908 + 0.206061i
\(352\) 5.53753e7 1.26391e7i 1.26966 0.289792i
\(353\) 6.38686e6 + 1.62734e7i 0.145199 + 0.369961i 0.984909 0.173075i \(-0.0553702\pi\)
−0.839710 + 0.543035i \(0.817275\pi\)
\(354\) −6.00726e7 + 1.85299e7i −1.35415 + 0.417700i
\(355\) 1.00143e7 1.25576e7i 0.223840 0.280686i
\(356\) 1.33465e7 1.00018e6i 0.295813 0.0221681i
\(357\) −7.54393e7 2.32699e7i −1.65803 0.511435i
\(358\) −5.79746e7 + 3.95264e7i −1.26354 + 0.861466i
\(359\) −8.91908e7 + 1.34434e7i −1.92769 + 0.290552i −0.997137 0.0756112i \(-0.975909\pi\)
−0.930551 + 0.366163i \(0.880671\pi\)
\(360\) −2.00709e7 + 8.79364e7i −0.430189 + 1.88478i
\(361\) −3.31123e7 3.07237e7i −0.703829 0.653058i
\(362\) 1.21600e8 + 9.11268e6i 2.56336 + 0.192097i
\(363\) 6.10507e6 + 2.39606e6i 0.127635 + 0.0500931i
\(364\) 1.25416e7 8.32081e7i 0.260045 1.72529i
\(365\) 9.39565e7 4.52471e7i 1.93218 0.930490i
\(366\) −2.15309e7 4.47094e7i −0.439156 0.911917i
\(367\) −5.57281e7 8.39967e6i −1.12740 0.169928i −0.441245 0.897387i \(-0.645463\pi\)
−0.686151 + 0.727459i \(0.740701\pi\)
\(368\) 3.21210e7 8.18430e7i 0.644534 1.64225i
\(369\) −261505. + 3.48954e6i −0.00520475 + 0.0694526i
\(370\) −3.49675e7 + 3.76860e7i −0.690335 + 0.744004i
\(371\) 9.74534e7 + 2.22431e7i 1.90843 + 0.435586i
\(372\) 1.16141e7 + 7.70548e7i 0.225610 + 1.49682i
\(373\) 1.60250e7 + 2.35044e7i 0.308796 + 0.452921i 0.948996 0.315287i \(-0.102101\pi\)
−0.640200 + 0.768208i \(0.721149\pi\)
\(374\) −3.23330e7 + 1.04821e8i −0.618062 + 2.00371i
\(375\) −2.19171e6 2.92463e7i −0.0415613 0.554597i
\(376\) 9.87066e7 + 7.87159e7i 1.85688 + 1.48081i
\(377\) 6.98695e6 + 2.26511e7i 0.130396 + 0.422733i
\(378\) 1.87079e8 7.34229e7i 3.46377 1.35943i
\(379\) 1.02129e7 + 4.47458e7i 0.187600 + 0.821929i 0.977877 + 0.209180i \(0.0670794\pi\)
−0.790277 + 0.612750i \(0.790063\pi\)
\(380\) 2.02517e7 3.50769e7i 0.369071 0.639250i
\(381\) 9.23040e6 5.32917e6i 0.166896 0.0963574i
\(382\) 1.18057e8 1.09541e8i 2.11789 1.96511i
\(383\) −1.67415e7 + 1.33509e7i −0.297987 + 0.237637i −0.761057 0.648685i \(-0.775319\pi\)
0.463070 + 0.886322i \(0.346748\pi\)
\(384\) 1.67015e7 + 1.13869e7i 0.294960 + 0.201100i
\(385\) −1.40050e8 6.74443e7i −2.45414 1.18185i
\(386\) 2.50316e7i 0.435237i
\(387\) −8.05086e6 + 2.78290e7i −0.138902 + 0.480137i
\(388\) −1.57873e8 −2.70280
\(389\) −3.45638e7 + 7.17726e7i −0.587183 + 1.21930i 0.369789 + 0.929116i \(0.379430\pi\)
−0.956972 + 0.290182i \(0.906284\pi\)
\(390\) −2.65169e7 + 3.88932e7i −0.447022 + 0.655661i
\(391\) 3.93952e7 + 4.94000e7i 0.659042 + 0.826413i
\(392\) −2.69250e8 2.90183e8i −4.46990 4.81741i
\(393\) 1.35638e7 + 2.34932e7i 0.223462 + 0.387047i
\(394\) 3.45984e7 + 1.99754e7i 0.565676 + 0.326593i
\(395\) −4.25647e7 + 9.71511e6i −0.690650 + 0.157636i
\(396\) −2.38172e7 6.06854e7i −0.383536 0.977233i
\(397\) −5.76758e7 + 1.77906e7i −0.921769 + 0.284328i −0.719090 0.694917i \(-0.755441\pi\)
−0.202679 + 0.979245i \(0.564965\pi\)
\(398\) 5.01074e7 6.28327e7i 0.794790 0.996636i
\(399\) −1.71705e7 + 1.28675e6i −0.270311 + 0.0202570i
\(400\) −1.95362e8 6.02613e7i −3.05254 0.941583i
\(401\) −7.20639e7 + 4.91323e7i −1.11760 + 0.761964i −0.973746 0.227636i \(-0.926900\pi\)
−0.143849 + 0.989600i \(0.545948\pi\)
\(402\) −1.53659e7 + 2.31604e6i −0.236526 + 0.0356506i
\(403\) 5.17738e6 2.26836e7i 0.0791033 0.346574i
\(404\) 2.00791e8 + 1.86306e8i 3.04508 + 2.82542i
\(405\) −2.62094e7 1.96412e6i −0.394541 0.0295667i
\(406\) 2.48830e8 + 9.76587e7i 3.71813 + 1.45926i
\(407\) 3.17063e6 2.10358e7i 0.0470286 0.312015i
\(408\) 1.35363e8 6.51876e7i 1.99306 0.959808i
\(409\) −1.82499e7 3.78963e7i −0.266741 0.553894i 0.723977 0.689824i \(-0.242312\pi\)
−0.990718 + 0.135930i \(0.956598\pi\)
\(410\) −2.74252e7 4.13368e6i −0.397922 0.0599770i
\(411\) 3.61747e6 9.21716e6i 0.0521050 0.132761i
\(412\) 9.45467e6 1.26164e8i 0.135193 1.80403i
\(413\) 1.00858e8 1.08699e8i 1.43173 1.54304i
\(414\) −5.22593e7 1.19278e7i −0.736483 0.168097i
\(415\) −1.97308e7 1.30906e8i −0.276059 1.83153i
\(416\) 2.28546e7 + 3.35215e7i 0.317463 + 0.465633i
\(417\) 6.90471e6 2.23845e7i 0.0952220 0.308702i
\(418\) 1.78791e6 + 2.38580e7i 0.0244803 + 0.326667i
\(419\) −7.00364e6 5.58522e6i −0.0952098 0.0759273i 0.574728 0.818344i \(-0.305108\pi\)
−0.669938 + 0.742417i \(0.733679\pi\)
\(420\) 1.09609e8 + 3.55344e8i 1.47944 + 4.79624i
\(421\) −3.14723e7 + 1.23520e7i −0.421776 + 0.165535i −0.566730 0.823903i \(-0.691792\pi\)
0.144954 + 0.989438i \(0.453697\pi\)
\(422\) −2.63997e7 1.15665e8i −0.351287 1.53909i
\(423\) 1.83556e7 3.17929e7i 0.242520 0.420057i
\(424\) −1.64745e8 + 9.51158e7i −2.16130 + 1.24783i
\(425\) 1.07705e8 9.99354e7i 1.40303 1.30183i
\(426\) 1.77451e7 1.41513e7i 0.229536 0.183049i
\(427\) 9.67104e7 + 6.59361e7i 1.24219 + 0.846914i
\(428\) 8.36099e7 + 4.02644e7i 1.06641 + 0.513558i
\(429\) 1.94786e7i 0.246710i
\(430\) −2.15182e8 8.01142e7i −2.70645 1.00764i
\(431\) −1.40018e8 −1.74884 −0.874421 0.485168i \(-0.838759\pi\)
−0.874421 + 0.485168i \(0.838759\pi\)
\(432\) −7.91462e7 + 1.64349e8i −0.981700 + 2.03852i
\(433\) 4.61420e7 6.76779e7i 0.568372 0.833648i −0.429206 0.903207i \(-0.641207\pi\)
0.997578 + 0.0695583i \(0.0221590\pi\)
\(434\) −1.63589e8 2.05134e8i −2.00118 2.50940i
\(435\) −7.12503e7 7.67895e7i −0.865603 0.932898i
\(436\) 4.78051e7 + 8.28009e7i 0.576786 + 0.999023i
\(437\) 1.19347e7 + 6.89048e6i 0.143010 + 0.0825667i
\(438\) 1.43669e8 3.27914e7i 1.70978 0.390246i
\(439\) 2.30659e7 + 5.87709e7i 0.272632 + 0.694654i 0.999965 + 0.00836956i \(0.00266415\pi\)
−0.727333 + 0.686284i \(0.759241\pi\)
\(440\) 2.82679e8 8.71950e7i 3.31845 1.02361i
\(441\) −7.17682e7 + 8.99945e7i −0.836790 + 1.04930i
\(442\) −7.81346e7 + 5.85538e6i −0.904850 + 0.0678091i
\(443\) 5.87929e7 + 1.81352e7i 0.676260 + 0.208598i 0.613815 0.789450i \(-0.289634\pi\)
0.0624447 + 0.998048i \(0.480110\pi\)
\(444\) −4.20489e7 + 2.86685e7i −0.480403 + 0.327533i
\(445\) 1.74626e7 2.63206e6i 0.198165 0.0298686i
\(446\) −5.75802e7 + 2.52275e8i −0.649036 + 2.84361i
\(447\) 4.16971e7 + 3.86892e7i 0.466856 + 0.433179i
\(448\) 8.90794e7 + 6.67558e6i 0.990702 + 0.0742429i
\(449\) 6.99008e7 + 2.74341e7i 0.772224 + 0.303076i 0.718543 0.695483i \(-0.244809\pi\)
0.0536810 + 0.998558i \(0.482905\pi\)
\(450\) −1.85775e7 + 1.23253e8i −0.203868 + 1.35258i
\(451\) 1.03402e7 4.97956e6i 0.112719 0.0542827i
\(452\) 1.93058e7 + 4.00889e7i 0.209061 + 0.434119i
\(453\) −7.40373e6 1.11593e6i −0.0796445 0.0120045i
\(454\) 5.50163e7 1.40179e8i 0.587927 1.49801i
\(455\) 8.29740e6 1.10721e8i 0.0880862 1.17543i
\(456\) 2.22883e7 2.40210e7i 0.235061 0.253336i
\(457\) 9.90547e7 + 2.26086e7i 1.03783 + 0.236878i 0.707297 0.706916i \(-0.249914\pi\)
0.330533 + 0.943794i \(0.392771\pi\)
\(458\) 3.63198e7 + 2.40966e8i 0.378048 + 2.50818i
\(459\) −7.38474e7 1.08314e8i −0.763655 1.12008i
\(460\) 8.77257e7 2.84400e8i 0.901267 2.92184i
\(461\) −1.95551e6 2.60945e7i −0.0199599 0.266346i −0.998251 0.0591123i \(-0.981173\pi\)
0.978291 0.207234i \(-0.0664460\pi\)
\(462\) −1.71735e8 1.36954e8i −1.74153 1.38883i
\(463\) 2.63702e7 + 8.54900e7i 0.265687 + 0.861336i 0.985864 + 0.167546i \(0.0535842\pi\)
−0.720177 + 0.693790i \(0.755940\pi\)
\(464\) −2.25853e8 + 8.86410e7i −2.26086 + 0.887320i
\(465\) 2.28797e7 + 1.00243e8i 0.227558 + 0.996997i
\(466\) 4.35123e7 7.53656e7i 0.429986 0.744758i
\(467\) −8.65404e7 + 4.99641e7i −0.849705 + 0.490578i −0.860551 0.509363i \(-0.829881\pi\)
0.0108460 + 0.999941i \(0.496548\pi\)
\(468\) 3.41352e7 3.16728e7i 0.333016 0.308993i
\(469\) 2.86568e7 2.28530e7i 0.277785 0.221526i
\(470\) 2.40407e8 + 1.63907e8i 2.31555 + 1.57872i
\(471\) −5.49097e7 2.64431e7i −0.525517 0.253076i
\(472\) 2.82195e8i 2.68363i
\(473\) 9.22450e7 2.27685e7i 0.871685 0.215155i
\(474\) −6.16949e7 −0.579314
\(475\) 1.39040e7 2.88719e7i 0.129735 0.269398i
\(476\) −3.48684e8 + 5.11426e8i −3.23304 + 4.74200i
\(477\) 3.44888e7 + 4.32476e7i 0.317777 + 0.398480i
\(478\) 1.81043e8 + 1.95118e8i 1.65767 + 1.78654i
\(479\) −2.27734e7 3.94446e7i −0.207215 0.358907i 0.743621 0.668601i \(-0.233107\pi\)
−0.950836 + 0.309694i \(0.899773\pi\)
\(480\) −1.55271e8 8.96457e7i −1.40400 0.810598i
\(481\) 1.48144e7 3.38128e6i 0.133121 0.0303841i
\(482\) −1.10230e8 2.80861e8i −0.984368 2.50813i
\(483\) −1.20903e8 + 3.72937e7i −1.07299 + 0.330974i
\(484\) 3.20606e7 4.02028e7i 0.282772 0.354585i
\(485\) −2.07728e8 + 1.55671e7i −1.82084 + 0.136453i
\(486\) 1.77129e8 + 5.46371e7i 1.54305 + 0.475969i
\(487\) 1.43430e8 9.77890e7i 1.24181 0.846648i 0.249249 0.968439i \(-0.419816\pi\)
0.992556 + 0.121791i \(0.0388638\pi\)
\(488\) −2.20266e8 + 3.31998e7i −1.89534 + 0.285677i
\(489\) −2.88080e7 + 1.26216e8i −0.246369 + 1.07941i
\(490\) −6.68777e8 6.20534e8i −5.68451 5.27445i
\(491\) 6.83585e7 + 5.12276e6i 0.577495 + 0.0432773i 0.360276 0.932846i \(-0.382682\pi\)
0.217219 + 0.976123i \(0.430302\pi\)
\(492\) −2.55577e7 1.00307e7i −0.214598 0.0842236i
\(493\) 2.59878e7 1.72417e8i 0.216884 1.43893i
\(494\) −1.53969e7 + 7.41478e6i −0.127718 + 0.0615060i
\(495\) −3.73224e7 7.75007e7i −0.307718 0.638984i
\(496\) 2.35489e8 + 3.54943e7i 1.92986 + 0.290880i
\(497\) −1.95588e7 + 4.98351e7i −0.159321 + 0.405944i
\(498\) 1.39799e7 1.86549e8i 0.113192 1.51044i
\(499\) −3.15581e7 + 3.40115e7i −0.253986 + 0.273731i −0.847155 0.531347i \(-0.821686\pi\)
0.593169 + 0.805078i \(0.297877\pi\)
\(500\) −2.24183e8 5.11683e7i −1.79346 0.409347i
\(501\) −977509. 6.48535e6i −0.00777334 0.0515727i
\(502\) 1.02067e8 + 1.49705e8i 0.806816 + 1.18338i
\(503\) −510030. + 1.65348e6i −0.00400767 + 0.0129925i −0.957555 0.288252i \(-0.906926\pi\)
0.953547 + 0.301245i \(0.0974021\pi\)
\(504\) −2.24669e7 2.99800e8i −0.175490 2.34174i
\(505\) 2.82569e8 + 2.25341e8i 2.19407 + 1.74971i
\(506\) 5.18187e7 + 1.67992e8i 0.399977 + 1.29669i
\(507\) −7.28461e7 + 2.85900e7i −0.558962 + 0.219376i
\(508\) −1.85953e7 8.14715e7i −0.141845 0.621462i
\(509\) 9.88336e7 1.71185e8i 0.749465 1.29811i −0.198615 0.980078i \(-0.563644\pi\)
0.948080 0.318033i \(-0.103022\pi\)
\(510\) 2.99869e8 1.73129e8i 2.26059 1.30515i
\(511\) −2.54802e8 + 2.36422e8i −1.90959 + 1.77184i
\(512\) 2.23149e8 1.77956e8i 1.66259 1.32587i
\(513\) −2.36239e7 1.61065e7i −0.174984 0.119302i
\(514\) 8.84521e7 + 4.25963e7i 0.651356 + 0.313677i
\(515\) 1.66937e8i 1.22217i
\(516\) −1.90027e8 1.24719e8i −1.38314 0.907787i
\(517\) −1.20402e8 −0.871287
\(518\) 7.43482e7 1.54386e8i 0.534910 1.11075i
\(519\) 7.35438e7 1.07869e8i 0.526070 0.771603i
\(520\) 1.31745e8 + 1.65203e8i 0.936965 + 1.17492i
\(521\) −9.84645e7 1.06119e8i −0.696252 0.750381i 0.281634 0.959522i \(-0.409124\pi\)
−0.977886 + 0.209141i \(0.932933\pi\)
\(522\) 7.39616e7 + 1.28105e8i 0.519990 + 0.900648i
\(523\) −1.42603e8 8.23318e7i −0.996835 0.575523i −0.0895245 0.995985i \(-0.528535\pi\)
−0.907310 + 0.420462i \(0.861868\pi\)
\(524\) 2.07361e8 4.73288e7i 1.44123 0.328951i
\(525\) 1.07488e8 + 2.73874e8i 0.742814 + 1.89266i
\(526\) 1.69668e8 5.23358e7i 1.16585 0.359618i
\(527\) −1.06709e8 + 1.33809e8i −0.729071 + 0.914226i
\(528\) 1.98816e8 1.48992e7i 1.35067 0.101219i
\(529\) −4.46942e7 1.37863e7i −0.301915 0.0931283i
\(530\) −3.62241e8 + 2.46972e8i −2.43315 + 1.65890i
\(531\) 8.11404e7 1.22299e7i 0.541943 0.0816848i
\(532\) −3.00409e7 + 1.31618e8i −0.199516 + 0.874137i
\(533\) 6.00934e6 + 5.57585e6i 0.0396867 + 0.0368239i
\(534\) 2.48853e7 + 1.86489e6i 0.163425 + 0.0122470i
\(535\) 1.13983e8 + 4.47351e7i 0.744355 + 0.292138i
\(536\) −1.03964e7 + 6.89754e7i −0.0675130 + 0.447919i
\(537\) −8.25749e7 + 3.97660e7i −0.533243 + 0.256796i
\(538\) −1.36857e7 2.84187e7i −0.0878864 0.182498i
\(539\) 3.73301e8 + 5.62660e7i 2.38393 + 0.359319i
\(540\) −2.25595e8 + 5.74807e8i −1.43268 + 3.65040i
\(541\) −1.83254e6 + 2.44535e7i −0.0115734 + 0.154436i 0.988423 + 0.151724i \(0.0484825\pi\)
−0.999996 + 0.00271253i \(0.999137\pi\)
\(542\) −1.43257e8 + 1.54394e8i −0.899742 + 0.969691i
\(543\) 1.55285e8 + 3.54428e7i 0.969907 + 0.221375i
\(544\) −4.44796e7 2.95103e8i −0.276289 1.83306i
\(545\) 7.10661e7 + 1.04235e8i 0.439008 + 0.643907i
\(546\) 4.62467e7 1.49928e8i 0.284120 0.921096i
\(547\) −122116. 1.62953e6i −0.000746124 0.00995634i 0.996818 0.0797073i \(-0.0253986\pi\)
−0.997564 + 0.0697510i \(0.977780\pi\)
\(548\) −6.06964e7 4.84037e7i −0.368825 0.294129i
\(549\) 1.90921e7 + 6.18949e7i 0.115381 + 0.374057i
\(550\) 3.80541e8 1.49351e8i 2.28725 0.897680i
\(551\) −8.46243e6 3.70763e7i −0.0505872 0.221637i
\(552\) 1.20393e8 2.08527e8i 0.715788 1.23978i
\(553\) 1.26026e8 7.27609e7i 0.745218 0.430252i
\(554\) −2.95864e8 + 2.74522e8i −1.74006 + 1.61454i
\(555\) −5.25007e7 + 4.18679e7i −0.307105 + 0.244908i
\(556\) −1.51751e8 1.03462e8i −0.882894 0.601947i
\(557\) −2.59888e8 1.25156e8i −1.50391 0.724243i −0.512949 0.858419i \(-0.671447\pi\)
−0.990958 + 0.134176i \(0.957161\pi\)
\(558\) 1.45194e8i 0.835692i
\(559\) 3.92113e7 + 5.53933e7i 0.224479 + 0.317119i
\(560\) 1.13647e9 6.47131
\(561\) −6.21677e7 + 1.29093e8i −0.352108 + 0.731160i
\(562\) −2.17101e7 + 3.18429e7i −0.122307 + 0.179392i
\(563\) 5.31618e7 + 6.66627e7i 0.297902 + 0.373558i 0.908144 0.418657i \(-0.137499\pi\)
−0.610242 + 0.792215i \(0.708928\pi\)
\(564\) 1.95914e8 + 2.11145e8i 1.09201 + 1.17691i
\(565\) 2.93554e7 + 5.08450e7i 0.162758 + 0.281905i
\(566\) −5.22433e8 3.01627e8i −2.88125 1.66349i
\(567\) 8.54076e7 1.94937e7i 0.468541 0.106941i
\(568\) −3.72221e7 9.48403e7i −0.203121 0.517545i
\(569\) 1.84322e8 5.68558e7i 1.00055 0.308630i 0.249144 0.968466i \(-0.419851\pi\)
0.751409 + 0.659837i \(0.229375\pi\)
\(570\) 4.70864e7 5.90445e7i 0.254256 0.318827i
\(571\) 1.03215e8 7.73492e6i 0.554416 0.0415477i 0.205423 0.978673i \(-0.434143\pi\)
0.348993 + 0.937125i \(0.386524\pi\)
\(572\) −1.45937e8 4.50156e7i −0.779789 0.240533i
\(573\) 1.73808e8 1.18500e8i 0.923861 0.629878i
\(574\) 9.14114e7 1.37781e7i 0.483353 0.0728538i
\(575\) 5.23975e7 2.29569e8i 0.275618 1.20756i
\(576\) 3.62370e7 + 3.36230e7i 0.189620 + 0.175942i
\(577\) −2.32519e7 1.74249e6i −0.121041 0.00907075i 0.0140720 0.999901i \(-0.495521\pi\)
−0.135113 + 0.990830i \(0.543140\pi\)
\(578\) 2.08042e8 + 8.16504e7i 1.07738 + 0.422839i
\(579\) 4.87308e6 3.23308e7i 0.0251055 0.166564i
\(580\) −7.39981e8 + 3.56356e8i −3.79259 + 1.82642i
\(581\) 1.91452e8 + 3.97555e8i 0.976185 + 2.02707i
\(582\) −2.91076e8 4.38726e7i −1.47651 0.222549i
\(583\) 6.62797e7 1.68878e8i 0.334484 0.852251i
\(584\) 4.94335e7 6.59645e8i 0.248189 3.31186i
\(585\) 4.17916e7 4.50407e7i 0.208748 0.224977i
\(586\) −2.12940e8 4.86022e7i −1.05819 0.241525i
\(587\) −3.35647e6 2.22687e7i −0.0165947 0.110098i 0.979000 0.203860i \(-0.0653488\pi\)
−0.995595 + 0.0937619i \(0.970111\pi\)
\(588\) −5.08751e8 7.46200e8i −2.50249 3.67049i
\(589\) −1.10027e7 + 3.56698e7i −0.0538459 + 0.174564i
\(590\) 4.86020e7 + 6.48549e8i 0.236645 + 3.15781i
\(591\) 4.07986e7 + 3.25358e7i 0.197644 + 0.157616i
\(592\) 4.58439e7 + 1.48622e8i 0.220962 + 0.716340i
\(593\) −8.42996e7 + 3.30852e7i −0.404261 + 0.158661i −0.558755 0.829333i \(-0.688721\pi\)
0.154494 + 0.987994i \(0.450625\pi\)
\(594\) −8.11637e7 3.55601e8i −0.387260 1.69670i
\(595\) −4.08366e8 + 7.07311e8i −1.93865 + 3.35784i
\(596\) 3.86229e8 2.22989e8i 1.82434 1.05328i
\(597\) 7.69509e7 7.14000e7i 0.361652 0.335564i
\(598\) −9.81776e7 + 7.82940e7i −0.459102 + 0.366121i
\(599\) −2.23609e8 1.52454e8i −1.04042 0.709347i −0.0825619 0.996586i \(-0.526310\pi\)
−0.957859 + 0.287239i \(0.907263\pi\)
\(600\) −5.04461e8 2.42935e8i −2.33547 1.12470i
\(601\) 2.42174e8i 1.11559i −0.829979 0.557795i \(-0.811648\pi\)
0.829979 0.557795i \(-0.188352\pi\)
\(602\) 7.64072e8 + 4.37602e7i 3.50223 + 0.200581i
\(603\) 2.02833e7 0.0925095
\(604\) −2.54710e7 + 5.28910e7i −0.115594 + 0.240033i
\(605\) 3.82209e7 5.60598e7i 0.172598 0.253154i
\(606\) 3.18429e8 + 3.99298e8i 1.43085 + 1.79423i
\(607\) 85324.9 + 91958.4i 0.000381514 + 0.000411174i 0.733243 0.679967i \(-0.238006\pi\)
−0.732861 + 0.680378i \(0.761815\pi\)
\(608\) −3.25452e7 5.63699e7i −0.144802 0.250805i
\(609\) 3.02377e8 + 1.74578e8i 1.33874 + 0.772924i
\(610\) −5.00504e8 + 1.14237e8i −2.20505 + 0.503288i
\(611\) −3.14200e7 8.00568e7i −0.137747 0.350974i
\(612\) −3.27314e8 + 1.00963e8i −1.42794 + 0.440461i
\(613\) −2.14183e8 + 2.68577e8i −0.929831 + 1.16597i 0.0560335 + 0.998429i \(0.482155\pi\)
−0.985865 + 0.167543i \(0.946417\pi\)
\(614\) −2.24623e8 + 1.68331e7i −0.970394 + 0.0727210i
\(615\) −3.46176e7 1.06781e7i −0.148824 0.0459060i
\(616\) −8.14680e8 + 5.55439e8i −3.48534 + 2.37626i
\(617\) −2.58494e8 + 3.89617e7i −1.10051 + 0.165875i −0.674090 0.738649i \(-0.735464\pi\)
−0.426421 + 0.904525i \(0.640226\pi\)
\(618\) 5.24925e7 2.29985e8i 0.222398 0.974391i
\(619\) 3.05791e8 + 2.83733e8i 1.28930 + 1.19629i 0.968463 + 0.249158i \(0.0801538\pi\)
0.320834 + 0.947135i \(0.396037\pi\)
\(620\) 8.03910e8 + 6.02447e7i 3.37312 + 0.252781i
\(621\) −1.95574e8 7.67571e7i −0.816650 0.320511i
\(622\) 9.77920e7 6.48808e8i 0.406380 2.69615i
\(623\) −5.30331e7 + 2.55394e7i −0.219322 + 0.105620i
\(624\) 6.17897e7 + 1.28308e8i 0.254309 + 0.528079i
\(625\) 6.15155e7 + 9.27198e6i 0.251968 + 0.0379780i
\(626\) 7.67438e7 1.95540e8i 0.312839 0.797100i
\(627\) −2.33535e6 + 3.11631e7i −0.00947435 + 0.126426i
\(628\) −3.25014e8 + 3.50282e8i −1.31227 + 1.41429i
\(629\) −1.08972e8 2.48722e7i −0.437889 0.0999454i
\(630\) −1.03268e8 6.85139e8i −0.412995 2.74004i
\(631\) −2.41994e8 3.54940e8i −0.963201 1.41276i −0.910203 0.414162i \(-0.864075\pi\)
−0.0529977 0.998595i \(-0.516878\pi\)
\(632\) −8.16296e7 + 2.64637e8i −0.323367 + 1.04833i
\(633\) −1.15806e7 1.54532e8i −0.0456583 0.609267i
\(634\) 5.29968e8 + 4.22635e8i 2.07961 + 1.65843i
\(635\) −3.25010e7 1.05366e8i −0.126933 0.411508i
\(636\) −4.04004e8 + 1.58560e8i −1.57042 + 0.616343i
\(637\) 6.00043e7 + 2.62896e8i 0.232147 + 1.01710i
\(638\) 2.42572e8 4.20146e8i 0.934067 1.61785i
\(639\) −2.56566e7 + 1.48128e7i −0.0983323 + 0.0567722i
\(640\) 1.53296e8 1.42238e8i 0.584779 0.542596i
\(641\) −1.76398e8 + 1.40673e8i −0.669762 + 0.534117i −0.898281 0.439422i \(-0.855183\pi\)
0.228519 + 0.973539i \(0.426612\pi\)
\(642\) 1.42965e8 + 9.74716e7i 0.540286 + 0.368361i
\(643\) 1.32612e8 + 6.38626e7i 0.498827 + 0.240223i 0.666341 0.745647i \(-0.267860\pi\)
−0.167514 + 0.985870i \(0.553574\pi\)
\(644\) 9.92012e8i 3.71415i
\(645\) −2.62333e8 1.45367e8i −0.977628 0.541733i
\(646\) 1.25707e8 0.466295
\(647\) 4.18740e7 8.69524e7i 0.154608 0.321047i −0.809249 0.587465i \(-0.800126\pi\)
0.963858 + 0.266418i \(0.0858402\pi\)
\(648\) −9.39155e7 + 1.37749e8i −0.345153 + 0.506247i
\(649\) −1.67795e8 2.10408e8i −0.613825 0.769712i
\(650\) 1.98612e8 + 2.14052e8i 0.723210 + 0.779435i
\(651\) −1.71357e8 2.96799e8i −0.621096 1.07577i
\(652\) 8.79055e8 + 5.07523e8i 3.17156 + 1.83110i
\(653\) −1.53851e8 + 3.51154e7i −0.552535 + 0.126112i −0.489667 0.871909i \(-0.662882\pi\)
−0.0628675 + 0.998022i \(0.520025\pi\)
\(654\) 6.51295e7 + 1.65947e8i 0.232833 + 0.593249i
\(655\) 2.68177e8 8.27215e7i 0.954326 0.294371i
\(656\) −5.23156e7 + 6.56017e7i −0.185319 + 0.232383i
\(657\) −1.91812e8 + 1.43743e7i −0.676363 + 0.0506864i
\(658\) −9.26739e8 2.85861e8i −3.25297 1.00341i
\(659\) 4.70991e8 3.21116e8i 1.64572 1.12203i 0.771972 0.635657i \(-0.219271\pi\)
0.873749 0.486377i \(-0.161682\pi\)
\(660\) 6.67367e8 1.00589e8i 2.32131 0.349881i
\(661\) 8.16064e7 3.57541e8i 0.282566 1.23800i −0.611924 0.790916i \(-0.709604\pi\)
0.894491 0.447087i \(-0.147538\pi\)
\(662\) −1.36583e8 1.26730e8i −0.470784 0.436824i
\(663\) −1.02059e8 7.64824e6i −0.350194 0.0262434i
\(664\) −7.81693e8 3.06792e8i −2.67013 1.04795i
\(665\) −2.65494e7 + 1.76144e8i −0.0902795 + 0.598966i
\(666\) 8.54339e7 4.11428e7i 0.289206 0.139274i
\(667\) −1.21247e8 2.51773e8i −0.408597 0.848460i
\(668\) −5.08483e7 7.66415e6i −0.170587 0.0257119i
\(669\) −1.23483e8 + 3.14629e8i −0.412409 + 1.05080i
\(670\) −1.20137e7 + 1.60312e8i −0.0399441 + 0.533017i
\(671\) 1.44492e8 1.55726e8i 0.478274 0.515457i
\(672\) 5.82617e8 + 1.32979e8i 1.91989 + 0.438201i
\(673\) −6.60601e7 4.38280e8i −0.216717 1.43783i −0.787292 0.616580i \(-0.788518\pi\)
0.570575 0.821246i \(-0.306720\pi\)
\(674\) 4.05089e8 + 5.94156e8i 1.32303 + 1.94053i
\(675\) −1.44002e8 + 4.66842e8i −0.468227 + 1.51795i
\(676\) 4.58516e7 + 6.11847e8i 0.148427 + 1.98063i
\(677\) −6.53874e7 5.21447e7i −0.210731 0.168052i 0.512436 0.858725i \(-0.328743\pi\)
−0.723167 + 0.690673i \(0.757314\pi\)
\(678\) 2.44541e7 + 7.92782e7i 0.0784625 + 0.254369i
\(679\) 6.46329e8 2.53666e8i 2.06464 0.810312i
\(680\) −3.45866e8 1.51534e9i −1.09997 4.81929i
\(681\) 9.83488e7 1.70345e8i 0.311407 0.539372i
\(682\) −4.12395e8 + 2.38096e8i −1.30005 + 0.750585i
\(683\) 1.12458e8 1.04346e8i 0.352962 0.327501i −0.483686 0.875242i \(-0.660702\pi\)
0.836648 + 0.547741i \(0.184512\pi\)
\(684\) −5.84089e7 + 4.65795e7i −0.182520 + 0.145555i
\(685\) −8.46365e7 5.77042e7i −0.263321 0.179529i
\(686\) 1.71940e9 + 8.28021e8i 5.32605 + 2.56489i
\(687\) 3.18302e8i 0.981679i
\(688\) −5.35401e8 + 4.42596e8i −1.64405 + 1.35907i
\(689\) 1.29586e8 0.396186
\(690\) 2.40776e8 4.99978e8i 0.732937 1.52196i
\(691\) −3.39236e6 + 4.97567e6i −0.0102818 + 0.0150806i −0.831345 0.555756i \(-0.812429\pi\)
0.821063 + 0.570837i \(0.193381\pi\)
\(692\) −6.38209e8 8.00289e8i −1.92595 2.41506i
\(693\) 1.95014e8 + 2.10175e8i 0.585958 + 0.631513i
\(694\) −3.94441e8 6.83192e8i −1.18006 2.04392i
\(695\) −2.09875e8 1.21171e8i −0.625182 0.360949i
\(696\) −6.47812e8 + 1.47859e8i −1.92142 + 0.438551i
\(697\) −2.20305e7 5.61327e7i −0.0650617 0.165775i
\(698\) −5.28213e8 + 1.62932e8i −1.55326 + 0.479116i
\(699\) 7.08725e7 8.88713e7i 0.207514 0.260214i
\(700\) 2.30031e9 1.72385e8i 6.70645 0.502579i
\(701\) 5.70152e8 + 1.75869e8i 1.65515 + 0.510545i 0.974939 0.222473i \(-0.0714130\pi\)
0.680209 + 0.733019i \(0.261889\pi\)
\(702\) 2.15264e8 1.46764e8i 0.622242 0.424237i
\(703\) −2.41063e7 + 3.63344e6i −0.0693849 + 0.0104581i
\(704\) 3.60763e7 1.58061e8i 0.103396 0.453008i
\(705\) 2.78601e8 + 2.58504e8i 0.795090 + 0.737735i
\(706\) 2.54854e8 + 1.90986e7i 0.724231 + 0.0542736i
\(707\) −1.12138e9 4.40110e8i −3.17318 1.24538i
\(708\) −9.59559e7 + 6.36626e8i −0.270378 + 1.79384i
\(709\) 2.03454e8 9.79783e7i 0.570857 0.274910i −0.126106 0.992017i \(-0.540248\pi\)
0.696964 + 0.717106i \(0.254534\pi\)
\(710\) −1.01879e8 2.11554e8i −0.284649 0.591080i
\(711\) 7.96295e7 + 1.20022e7i 0.221547 + 0.0333928i
\(712\) 4.09254e7 1.04276e8i 0.113384 0.288899i
\(713\) −2.04978e7 + 2.73524e8i −0.0565508 + 0.754618i
\(714\) −7.85003e8 + 8.46032e8i −2.15664 + 2.32430i
\(715\) −1.96461e8 4.48410e7i −0.537475 0.122675i
\(716\) 1.07100e8 + 7.10565e8i 0.291778 + 1.93582i
\(717\) 1.95850e8 + 2.87259e8i 0.531332 + 0.779321i
\(718\) −3.88667e8 + 1.26003e9i −1.05004 + 3.40414i
\(719\) −1.39653e7 1.86353e8i −0.0375718 0.501361i −0.983967 0.178350i \(-0.942924\pi\)
0.946395 0.323011i \(-0.104695\pi\)
\(720\) 4.91692e8 + 3.92111e8i 1.31733 + 1.05054i
\(721\) 1.64009e8 + 5.31703e8i 0.437583 + 1.41861i
\(722\) −6.14700e8 + 2.41252e8i −1.63325 + 0.641002i
\(723\) −8.76955e7 3.84219e8i −0.232040 1.01663i
\(724\) 6.24410e8 1.08151e9i 1.64534 2.84980i
\(725\) −5.62750e8 + 3.24904e8i −1.47673 + 0.852592i
\(726\) 7.02834e7 6.52135e7i 0.183672 0.170423i
\(727\) −2.26513e8 + 1.80638e8i −0.589508 + 0.470117i −0.872237 0.489083i \(-0.837332\pi\)
0.282729 + 0.959200i \(0.408760\pi\)
\(728\) −5.81917e8 3.96744e8i −1.50823 1.02829i
\(729\) 3.05529e8 + 1.47135e8i 0.788623 + 0.379781i
\(730\) 1.52453e9i 3.91892i
\(731\) −8.30762e7 4.92260e8i −0.212679 1.26021i
\(732\) −5.08204e8 −1.29570
\(733\) 2.20560e8 4.57997e8i 0.560034 1.16292i −0.408203 0.912891i \(-0.633845\pi\)
0.968238 0.250032i \(-0.0804412\pi\)
\(734\) −4.64116e8 + 6.80733e8i −1.17365 + 1.72143i
\(735\) −7.42988e8 9.31678e8i −1.87120 2.34641i
\(736\) −3.25320e8 3.50611e8i −0.815975 0.879412i
\(737\) −3.32615e7 5.76107e7i −0.0830883 0.143913i
\(738\) 4.43030e7 + 2.55783e7i 0.110221 + 0.0636360i
\(739\) −2.56617e8 + 5.85711e7i −0.635846 + 0.145128i −0.528280 0.849070i \(-0.677163\pi\)
−0.107566 + 0.994198i \(0.534306\pi\)
\(740\) 1.92351e8 + 4.90101e8i 0.474677 + 1.20946i
\(741\) −2.13302e7 + 6.57949e6i −0.0524252 + 0.0161710i
\(742\) 9.11113e8 1.14250e9i 2.23029 2.79669i
\(743\) −3.38428e8 + 2.53617e7i −0.825087 + 0.0618318i −0.480579 0.876951i \(-0.659573\pi\)
−0.344508 + 0.938783i \(0.611954\pi\)
\(744\) 6.23237e8 + 1.92243e8i 1.51333 + 0.466801i
\(745\) 4.86208e8 3.31491e8i 1.17585 0.801684i
\(746\) 4.11229e8 6.19828e7i 0.990529 0.149298i
\(747\) −5.43353e7 + 2.38058e8i −0.130353 + 0.571113i
\(748\) 8.23511e8 + 7.64107e8i 1.96773 + 1.82578i
\(749\) −4.06992e8 3.04998e7i −0.968590 0.0725858i
\(750\) −3.99113e8 1.56640e8i −0.946047 0.371296i
\(751\) 7.32654e7 4.86084e8i 0.172973 1.14760i −0.718832 0.695184i \(-0.755323\pi\)
0.891805 0.452419i \(-0.149439\pi\)
\(752\) 7.93098e8 3.81936e8i 1.86498 0.898126i
\(753\) 1.02686e8 + 2.13229e8i 0.240506 + 0.499415i
\(754\) 3.42662e8 + 5.16480e7i 0.799378 + 0.120487i
\(755\) −2.82991e7 + 7.21050e7i −0.0657555 + 0.167542i
\(756\) 1.53808e8 2.05242e9i 0.355969 4.75008i
\(757\) −3.20188e8 + 3.45080e8i −0.738103 + 0.795485i −0.984816 0.173603i \(-0.944459\pi\)
0.246713 + 0.969089i \(0.420649\pi\)
\(758\) 6.54140e8 + 1.49303e8i 1.50198 + 0.342816i
\(759\) 3.42248e7 + 2.27067e8i 0.0782736 + 0.519312i
\(760\) −1.90967e8 2.80097e8i −0.435028 0.638069i
\(761\) 1.14347e8 3.70702e8i 0.259459 0.841146i −0.728313 0.685244i \(-0.759695\pi\)
0.987773 0.155902i \(-0.0498283\pi\)
\(762\) −1.16440e7 1.55379e8i −0.0263172 0.351178i
\(763\) −3.28754e8 2.62173e8i −0.740113 0.590220i