Properties

Label 43.7.h.a.18.10
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 18.10
Character \(\chi\) \(=\) 43.18
Dual form 43.7.h.a.12.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.799977 + 1.66117i) q^{2} +(12.6741 - 18.5895i) q^{3} +(37.7838 + 47.3794i) q^{4} +(102.613 + 110.590i) q^{5} +(20.7413 + 35.9249i) q^{6} +(-237.876 - 137.338i) q^{7} +(-223.973 + 51.1205i) q^{8} +(81.3979 + 207.398i) q^{9} +O(q^{10})\) \(q+(-0.799977 + 1.66117i) q^{2} +(12.6741 - 18.5895i) q^{3} +(37.7838 + 47.3794i) q^{4} +(102.613 + 110.590i) q^{5} +(20.7413 + 35.9249i) q^{6} +(-237.876 - 137.338i) q^{7} +(-223.973 + 51.1205i) q^{8} +(81.3979 + 207.398i) q^{9} +(-265.797 + 81.9875i) q^{10} +(-158.530 + 198.791i) q^{11} +(1359.63 - 101.890i) q^{12} +(2083.61 + 642.708i) q^{13} +(418.437 - 285.285i) q^{14} +(3356.34 - 505.886i) q^{15} +(-768.779 + 3368.24i) q^{16} +(2499.01 + 2318.74i) q^{17} +(-409.640 - 30.6983i) q^{18} +(-937.665 - 368.006i) q^{19} +(-1362.60 + 9040.26i) q^{20} +(-5567.90 + 2681.36i) q^{21} +(-203.404 - 422.373i) q^{22} +(6916.02 + 1042.42i) q^{23} +(-1888.35 + 4811.45i) q^{24} +(-533.169 + 7114.64i) q^{25} +(-2734.49 + 2947.07i) q^{26} +(20877.5 + 4765.16i) q^{27} +(-2480.88 - 16459.6i) q^{28} +(2497.16 + 3662.66i) q^{29} +(-1844.63 + 5980.14i) q^{30} +(-3526.55 - 47058.6i) q^{31} +(-16475.4 - 13138.7i) q^{32} +(1686.19 + 5466.48i) q^{33} +(-5850.96 + 2296.33i) q^{34} +(-9220.90 - 40399.4i) q^{35} +(-6750.89 + 11692.9i) q^{36} +(2704.52 - 1561.46i) q^{37} +(1361.43 - 1263.22i) q^{38} +(38355.4 - 30587.4i) q^{39} +(-28636.0 - 19523.7i) q^{40} +(-30863.0 - 14862.8i) q^{41} -11394.2i q^{42} +(-57593.4 + 54812.1i) q^{43} -15408.5 q^{44} +(-14583.8 + 30283.5i) q^{45} +(-7264.29 + 10654.8i) q^{46} +(-81619.3 - 102347. i) q^{47} +(52870.2 + 56980.6i) q^{48} +(-21101.1 - 36548.2i) q^{49} +(-11392.1 - 6577.23i) q^{50} +(74776.7 - 17067.3i) q^{51} +(48275.6 + 123004. i) q^{52} +(-17223.9 + 5312.86i) q^{53} +(-24617.3 + 30869.1i) q^{54} +(-38251.5 + 2866.56i) q^{55} +(60298.7 + 18599.7i) q^{56} +(-18725.1 + 12766.5i) q^{57} +(-8081.97 + 1218.16i) q^{58} +(80421.4 - 352349. i) q^{59} +(150784. + 139907. i) q^{60} +(116565. + 8735.32i) q^{61} +(80993.4 + 31787.6i) q^{62} +(9121.04 - 60514.1i) q^{63} +(-164209. + 79078.8i) q^{64} +(142728. + 296377. i) q^{65} +(-10429.7 - 1572.02i) q^{66} +(-24551.2 + 62555.5i) q^{67} +(-15438.5 + 206012. i) q^{68} +(107032. - 115353. i) q^{69} +(74486.7 + 17001.1i) q^{70} +(-11568.3 - 76750.4i) q^{71} +(-28833.2 - 42290.6i) q^{72} +(-117068. + 379526. i) q^{73} +(430.288 + 5741.80i) q^{74} +(125500. + 100083. i) q^{75} +(-17992.6 - 58330.7i) q^{76} +(65012.1 - 25515.3i) q^{77} +(20127.4 + 88184.1i) q^{78} +(-49.1554 + 85.1396i) q^{79} +(-451381. + 260605. i) q^{80} +(234122. - 217234. i) q^{81} +(49379.3 - 39378.7i) q^{82} +(41050.9 + 27988.0i) q^{83} +(-337418. - 162492. i) q^{84} +514298. i q^{85} +(-44978.8 - 139521. i) q^{86} +99736.2 q^{87} +(25344.3 - 52627.9i) q^{88} +(720746. - 1.05714e6i) q^{89} +(-38639.4 - 48452.2i) q^{90} +(-407373. - 439043. i) q^{91} +(211924. + 367064. i) q^{92} +(-919490. - 530868. i) q^{93} +(235310. - 53707.9i) q^{94} +(-55518.5 - 141459. i) q^{95} +(-453052. + 139748. i) q^{96} +(258571. - 324238. i) q^{97} +(77593.1 - 5814.80i) q^{98} +(-54132.9 - 16697.8i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.799977 + 1.66117i −0.0999971 + 0.207646i −0.944965 0.327170i \(-0.893905\pi\)
0.844968 + 0.534816i \(0.179619\pi\)
\(3\) 12.6741 18.5895i 0.469410 0.688499i −0.516403 0.856346i \(-0.672729\pi\)
0.985813 + 0.167847i \(0.0536816\pi\)
\(4\) 37.7838 + 47.3794i 0.590372 + 0.740303i
\(5\) 102.613 + 110.590i 0.820902 + 0.884722i 0.994987 0.100009i \(-0.0318870\pi\)
−0.174084 + 0.984731i \(0.555697\pi\)
\(6\) 20.7413 + 35.9249i 0.0960243 + 0.166319i
\(7\) −237.876 137.338i −0.693516 0.400402i 0.111412 0.993774i \(-0.464463\pi\)
−0.804928 + 0.593372i \(0.797796\pi\)
\(8\) −223.973 + 51.1205i −0.437448 + 0.0998446i
\(9\) 81.3979 + 207.398i 0.111657 + 0.284497i
\(10\) −265.797 + 81.9875i −0.265797 + 0.0819875i
\(11\) −158.530 + 198.791i −0.119106 + 0.149354i −0.837810 0.545962i \(-0.816164\pi\)
0.718704 + 0.695316i \(0.244736\pi\)
\(12\) 1359.63 101.890i 0.786825 0.0589644i
\(13\) 2083.61 + 642.708i 0.948388 + 0.292539i 0.730096 0.683344i \(-0.239475\pi\)
0.218292 + 0.975883i \(0.429951\pi\)
\(14\) 418.437 285.285i 0.152491 0.103967i
\(15\) 3356.34 505.886i 0.994470 0.149892i
\(16\) −768.779 + 3368.24i −0.187690 + 0.822325i
\(17\) 2499.01 + 2318.74i 0.508652 + 0.471960i 0.892251 0.451540i \(-0.149125\pi\)
−0.383599 + 0.923500i \(0.625316\pi\)
\(18\) −409.640 30.6983i −0.0702400 0.00526376i
\(19\) −937.665 368.006i −0.136706 0.0536531i 0.296002 0.955187i \(-0.404347\pi\)
−0.432708 + 0.901534i \(0.642442\pi\)
\(20\) −1362.60 + 9040.26i −0.170325 + 1.13003i
\(21\) −5567.90 + 2681.36i −0.601220 + 0.289532i
\(22\) −203.404 422.373i −0.0191026 0.0396669i
\(23\) 6916.02 + 1042.42i 0.568425 + 0.0856762i 0.426966 0.904268i \(-0.359583\pi\)
0.141459 + 0.989944i \(0.454821\pi\)
\(24\) −1888.35 + 4811.45i −0.136600 + 0.348050i
\(25\) −533.169 + 7114.64i −0.0341228 + 0.455337i
\(26\) −2734.49 + 2947.07i −0.155581 + 0.167676i
\(27\) 20877.5 + 4765.16i 1.06069 + 0.242095i
\(28\) −2480.88 16459.6i −0.113014 0.749799i
\(29\) 2497.16 + 3662.66i 0.102389 + 0.150177i 0.874014 0.485901i \(-0.161508\pi\)
−0.771625 + 0.636077i \(0.780556\pi\)
\(30\) −1844.63 + 5980.14i −0.0683195 + 0.221487i
\(31\) −3526.55 47058.6i −0.118376 1.57962i −0.667967 0.744191i \(-0.732835\pi\)
0.549591 0.835434i \(-0.314784\pi\)
\(32\) −16475.4 13138.7i −0.502790 0.400962i
\(33\) 1686.19 + 5466.48i 0.0469206 + 0.152113i
\(34\) −5850.96 + 2296.33i −0.148864 + 0.0584250i
\(35\) −9220.90 40399.4i −0.215065 0.942260i
\(36\) −6750.89 + 11692.9i −0.144695 + 0.250619i
\(37\) 2704.52 1561.46i 0.0533932 0.0308266i −0.473066 0.881027i \(-0.656853\pi\)
0.526459 + 0.850201i \(0.323519\pi\)
\(38\) 1361.43 1263.22i 0.0248110 0.0230213i
\(39\) 38355.4 30587.4i 0.646596 0.515643i
\(40\) −28636.0 19523.7i −0.447437 0.305057i
\(41\) −30863.0 14862.8i −0.447802 0.215650i 0.196371 0.980530i \(-0.437084\pi\)
−0.644173 + 0.764879i \(0.722799\pi\)
\(42\) 11394.2i 0.153793i
\(43\) −57593.4 + 54812.1i −0.724381 + 0.689400i
\(44\) −15408.5 −0.180885
\(45\) −14583.8 + 30283.5i −0.160041 + 0.332330i
\(46\) −7264.29 + 10654.8i −0.0746311 + 0.109464i
\(47\) −81619.3 102347.i −0.786139 0.985787i −0.999960 0.00891411i \(-0.997163\pi\)
0.213821 0.976873i \(-0.431409\pi\)
\(48\) 52870.2 + 56980.6i 0.478066 + 0.515232i
\(49\) −21101.1 36548.2i −0.179357 0.310655i
\(50\) −11392.1 6577.23i −0.0911368 0.0526178i
\(51\) 74776.7 17067.3i 0.563710 0.128663i
\(52\) 48275.6 + 123004.i 0.343335 + 0.874802i
\(53\) −17223.9 + 5312.86i −0.115692 + 0.0356863i −0.352061 0.935977i \(-0.614519\pi\)
0.236369 + 0.971663i \(0.424043\pi\)
\(54\) −24617.3 + 30869.1i −0.156336 + 0.196039i
\(55\) −38251.5 + 2866.56i −0.229912 + 0.0172295i
\(56\) 60298.7 + 18599.7i 0.343355 + 0.105911i
\(57\) −18725.1 + 12766.5i −0.101111 + 0.0689364i
\(58\) −8081.97 + 1218.16i −0.0414222 + 0.00624340i
\(59\) 80421.4 352349.i 0.391576 1.71560i −0.267526 0.963551i \(-0.586206\pi\)
0.659101 0.752054i \(-0.270937\pi\)
\(60\) 150784. + 139907.i 0.698073 + 0.647717i
\(61\) 116565. + 8735.32i 0.513544 + 0.0384848i 0.328982 0.944336i \(-0.393294\pi\)
0.184562 + 0.982821i \(0.440913\pi\)
\(62\) 80993.4 + 31787.6i 0.339840 + 0.133377i
\(63\) 9121.04 60514.1i 0.0364773 0.242011i
\(64\) −164209. + 79078.8i −0.626407 + 0.301662i
\(65\) 142728. + 296377.i 0.519718 + 1.07921i
\(66\) −10429.7 1572.02i −0.0362776 0.00546796i
\(67\) −24551.2 + 62555.5i −0.0816297 + 0.207989i −0.965861 0.259059i \(-0.916587\pi\)
0.884232 + 0.467049i \(0.154683\pi\)
\(68\) −15438.5 + 206012.i −0.0490996 + 0.655189i
\(69\) 107032. 115353.i 0.325812 0.351142i
\(70\) 74486.7 + 17001.1i 0.217162 + 0.0495659i
\(71\) −11568.3 76750.4i −0.0323216 0.214440i 0.966840 0.255383i \(-0.0822017\pi\)
−0.999161 + 0.0409436i \(0.986964\pi\)
\(72\) −28833.2 42290.6i −0.0772496 0.113304i
\(73\) −117068. + 379526.i −0.300934 + 0.975603i 0.671220 + 0.741258i \(0.265771\pi\)
−0.972154 + 0.234345i \(0.924706\pi\)
\(74\) 430.288 + 5741.80i 0.00106185 + 0.0141694i
\(75\) 125500. + 100083.i 0.297481 + 0.237233i
\(76\) −17992.6 58330.7i −0.0409878 0.132879i
\(77\) 65012.1 25515.3i 0.142404 0.0558894i
\(78\) 20127.4 + 88184.1i 0.0424136 + 0.185826i
\(79\) −49.1554 + 85.1396i −9.96988e−5 + 0.000172683i −0.866075 0.499914i \(-0.833365\pi\)
0.865976 + 0.500086i \(0.166698\pi\)
\(80\) −451381. + 260605.i −0.881604 + 0.508995i
\(81\) 234122. 217234.i 0.440543 0.408764i
\(82\) 49379.3 39378.7i 0.0895578 0.0714200i
\(83\) 41050.9 + 27988.0i 0.0717941 + 0.0489484i 0.598685 0.800984i \(-0.295690\pi\)
−0.526891 + 0.849933i \(0.676642\pi\)
\(84\) −337418. 162492.i −0.569285 0.274153i
\(85\) 514298.i 0.837449i
\(86\) −44978.8 139521.i −0.0707151 0.219353i
\(87\) 99736.2 0.151459
\(88\) 25344.3 52627.9i 0.0371905 0.0772269i
\(89\) 720746. 1.05714e6i 1.02238 1.49956i 0.164053 0.986452i \(-0.447543\pi\)
0.858326 0.513104i \(-0.171504\pi\)
\(90\) −38639.4 48452.2i −0.0530032 0.0664640i
\(91\) −407373. 439043.i −0.540590 0.582617i
\(92\) 211924. + 367064.i 0.272156 + 0.471388i
\(93\) −919490. 530868.i −1.14314 0.659990i
\(94\) 235310. 53707.9i 0.283306 0.0646628i
\(95\) −55518.5 141459.i −0.0647540 0.164991i
\(96\) −453052. + 139748.i −0.512076 + 0.157955i
\(97\) 258571. 324238.i 0.283312 0.355262i −0.619729 0.784816i \(-0.712758\pi\)
0.903041 + 0.429554i \(0.141329\pi\)
\(98\) 77593.1 5814.80i 0.0824414 0.00617813i
\(99\) −54132.9 16697.8i −0.0557899 0.0172089i
\(100\) −357233. + 243557.i −0.357233 + 0.243557i
\(101\) 1.20301e6 181325.i 1.16763 0.175992i 0.463522 0.886085i \(-0.346586\pi\)
0.704107 + 0.710094i \(0.251347\pi\)
\(102\) −31468.0 + 137870.i −0.0296530 + 0.129918i
\(103\) −1.28218e6 1.18969e6i −1.17338 1.08873i −0.994487 0.104864i \(-0.966559\pi\)
−0.178889 0.983869i \(-0.557250\pi\)
\(104\) −499528. 37434.5i −0.444079 0.0332791i
\(105\) −867870. 340614.i −0.749698 0.294235i
\(106\) 4953.14 32861.9i 0.00415875 0.0275915i
\(107\) −21215.8 + 10217.0i −0.0173184 + 0.00834011i −0.442523 0.896757i \(-0.645916\pi\)
0.425204 + 0.905097i \(0.360202\pi\)
\(108\) 563063. + 1.16921e6i 0.446977 + 0.928158i
\(109\) −2.05382e6 309563.i −1.58593 0.239040i −0.703920 0.710279i \(-0.748569\pi\)
−0.882005 + 0.471240i \(0.843807\pi\)
\(110\) 25838.5 65835.4i 0.0194128 0.0494631i
\(111\) 5250.70 70065.7i 0.00383926 0.0512314i
\(112\) 645462. 695642.i 0.459427 0.495144i
\(113\) 1.09737e6 + 250468.i 0.760535 + 0.173587i 0.585164 0.810915i \(-0.301030\pi\)
0.175371 + 0.984502i \(0.443887\pi\)
\(114\) −6227.75 41318.5i −0.00420356 0.0278888i
\(115\) 594390. + 871811.i 0.390821 + 0.573230i
\(116\) −79182.6 + 256704.i −0.0507289 + 0.164459i
\(117\) 36304.7 + 484452.i 0.0226676 + 0.302478i
\(118\) 520976. + 415465.i 0.317082 + 0.252865i
\(119\) −276003. 894781.i −0.163785 0.530977i
\(120\) −725869. + 284882.i −0.420063 + 0.164863i
\(121\) 379824. + 1.66412e6i 0.214400 + 0.939350i
\(122\) −107760. + 186646.i −0.0593441 + 0.102787i
\(123\) −667452. + 385353.i −0.358678 + 0.207083i
\(124\) 2.09636e6 1.94514e6i 1.09952 1.02020i
\(125\) 1.00144e6 798620.i 0.512736 0.408893i
\(126\) 93227.5 + 63561.5i 0.0466050 + 0.0317748i
\(127\) 2.46442e6 + 1.18680e6i 1.20310 + 0.579384i 0.924559 0.381039i \(-0.124434\pi\)
0.278545 + 0.960423i \(0.410148\pi\)
\(128\) 1.68470e6i 0.803329i
\(129\) 288984. + 1.76532e6i 0.134619 + 0.822347i
\(130\) −606511. −0.276063
\(131\) −236868. + 491861.i −0.105364 + 0.218791i −0.946985 0.321278i \(-0.895888\pi\)
0.841621 + 0.540069i \(0.181602\pi\)
\(132\) −195288. + 286435.i −0.0849091 + 0.124539i
\(133\) 172507. + 216317.i 0.0733249 + 0.0919466i
\(134\) −84274.8 90826.6i −0.0350254 0.0377484i
\(135\) 1.61532e6 + 2.79782e6i 0.656535 + 1.13715i
\(136\) −678246. 391586.i −0.269631 0.155672i
\(137\) 2.03544e6 464577.i 0.791585 0.180674i 0.192434 0.981310i \(-0.438362\pi\)
0.599151 + 0.800636i \(0.295505\pi\)
\(138\) 105998. + 270079.i 0.0403330 + 0.102767i
\(139\) −4.09724e6 + 1.26383e6i −1.52562 + 0.470592i −0.940339 0.340238i \(-0.889492\pi\)
−0.585282 + 0.810830i \(0.699016\pi\)
\(140\) 1.56570e6 1.96333e6i 0.570590 0.715498i
\(141\) −2.93703e6 + 220100.i −1.04773 + 0.0785168i
\(142\) 136750. + 42181.7i 0.0477596 + 0.0147319i
\(143\) −458079. + 312313.i −0.156651 + 0.106803i
\(144\) −761145. + 114724.i −0.254906 + 0.0384209i
\(145\) −148814. + 651998.i −0.0488136 + 0.213866i
\(146\) −536805. 498082.i −0.172488 0.160045i
\(147\) −946849. 70956.5i −0.298077 0.0223378i
\(148\) 176168. + 69140.9i 0.0543428 + 0.0213280i
\(149\) 122846. 815031.i 0.0371367 0.246386i −0.962559 0.271074i \(-0.912621\pi\)
0.999695 + 0.0246883i \(0.00785932\pi\)
\(150\) −266651. + 128413.i −0.0790078 + 0.0380482i
\(151\) 2.20139e6 + 4.57124e6i 0.639392 + 1.32771i 0.928827 + 0.370513i \(0.120818\pi\)
−0.289436 + 0.957197i \(0.593468\pi\)
\(152\) 228825. + 34489.8i 0.0651586 + 0.00982109i
\(153\) −277489. + 707030.i −0.0774768 + 0.197408i
\(154\) −9622.82 + 128408.i −0.00263476 + 0.0351584i
\(155\) 4.84235e6 5.21882e6i 1.30035 1.40145i
\(156\) 2.89843e6 + 661548.i 0.763465 + 0.174256i
\(157\) 1.01961e6 + 6.76468e6i 0.263473 + 1.74803i 0.594216 + 0.804306i \(0.297463\pi\)
−0.330743 + 0.943721i \(0.607299\pi\)
\(158\) −102.108 149.765i −2.58874e−5 3.79699e-5i
\(159\) −119534. + 387518.i −0.0297371 + 0.0964053i
\(160\) −237575. 3.17022e6i −0.0580018 0.773980i
\(161\) −1.50199e6 1.19780e6i −0.359907 0.287016i
\(162\) 173570. + 562699.i 0.0408252 + 0.132352i
\(163\) −1.85320e6 + 727328.i −0.427918 + 0.167945i −0.569518 0.821979i \(-0.692870\pi\)
0.141601 + 0.989924i \(0.454775\pi\)
\(164\) −461929. 2.02384e6i −0.104723 0.458823i
\(165\) −431515. + 747407.i −0.0960604 + 0.166382i
\(166\) −79332.6 + 45802.7i −0.0173431 + 0.0100131i
\(167\) 4.65816e6 4.32214e6i 1.00015 0.928003i 0.00274400 0.999996i \(-0.499127\pi\)
0.997405 + 0.0719935i \(0.0229361\pi\)
\(168\) 1.10999e6 885186.i 0.234094 0.186684i
\(169\) −59743.7 40732.6i −0.0123775 0.00843882i
\(170\) −854336. 411427.i −0.173893 0.0837424i
\(171\) 224425.i 0.0448831i
\(172\) −4.77306e6 657730.i −0.938020 0.129259i
\(173\) −7.79766e6 −1.50600 −0.753001 0.658019i \(-0.771395\pi\)
−0.753001 + 0.658019i \(0.771395\pi\)
\(174\) −79786.6 + 165679.i −0.0151455 + 0.0314499i
\(175\) 1.10394e6 1.61918e6i 0.205983 0.302121i
\(176\) −547700. 686795.i −0.100463 0.125976i
\(177\) −5.53071e6 5.96069e6i −0.997382 1.07492i
\(178\) 1.17951e6 + 2.04297e6i 0.209142 + 0.362244i
\(179\) −6.75048e6 3.89739e6i −1.17700 0.679539i −0.221679 0.975120i \(-0.571154\pi\)
−0.955318 + 0.295580i \(0.904487\pi\)
\(180\) −1.98585e6 + 453257.i −0.340509 + 0.0777189i
\(181\) −976759. 2.48874e6i −0.164722 0.419705i 0.824550 0.565789i \(-0.191428\pi\)
−0.989272 + 0.146084i \(0.953333\pi\)
\(182\) 1.05521e6 325490.i 0.175036 0.0539913i
\(183\) 1.63974e6 2.05616e6i 0.267560 0.335509i
\(184\) −1.60229e6 + 120075.i −0.257210 + 0.0192753i
\(185\) 450201. + 138869.i 0.0711035 + 0.0219325i
\(186\) 1.61743e6 1.10275e6i 0.251355 0.171371i
\(187\) −857112. + 129189.i −0.131073 + 0.0197561i
\(188\) 1.76527e6 7.73415e6i 0.265667 1.16396i
\(189\) −4.31183e6 4.00079e6i −0.638670 0.592599i
\(190\) 279400. + 20938.2i 0.0407349 + 0.00305266i
\(191\) 5.86237e6 + 2.30081e6i 0.841343 + 0.330203i 0.746579 0.665297i \(-0.231695\pi\)
0.0947641 + 0.995500i \(0.469790\pi\)
\(192\) −611163. + 4.05480e6i −0.0863483 + 0.572883i
\(193\) −2.16848e6 + 1.04428e6i −0.301636 + 0.145260i −0.578579 0.815626i \(-0.696393\pi\)
0.276944 + 0.960886i \(0.410678\pi\)
\(194\) 331763. + 688913.i 0.0454384 + 0.0943538i
\(195\) 7.31843e6 + 1.10308e6i 0.986993 + 0.148765i
\(196\) 934352. 2.38069e6i 0.124092 0.316180i
\(197\) −1.04554e6 + 1.39517e7i −0.136754 + 1.82486i 0.333980 + 0.942580i \(0.391608\pi\)
−0.470734 + 0.882275i \(0.656011\pi\)
\(198\) 71042.9 76566.0i 0.00915219 0.00986371i
\(199\) 9.68784e6 + 2.21119e6i 1.22933 + 0.280586i 0.787388 0.616458i \(-0.211433\pi\)
0.441941 + 0.897044i \(0.354290\pi\)
\(200\) −244288. 1.62075e6i −0.0305360 0.202593i
\(201\) 851708. + 1.24923e6i 0.104882 + 0.153834i
\(202\) −661169. + 2.14346e6i −0.0802155 + 0.260052i
\(203\) −90992.9 1.21422e6i −0.0108773 0.145147i
\(204\) 3.63399e6 + 2.89801e6i 0.428049 + 0.341358i
\(205\) −1.52325e6 4.93826e6i −0.176811 0.573208i
\(206\) 3.00198e6 1.17819e6i 0.343405 0.134777i
\(207\) 346753. + 1.51922e6i 0.0390939 + 0.171281i
\(208\) −3.76663e6 + 6.52400e6i −0.418565 + 0.724977i
\(209\) 221805. 128059.i 0.0242958 0.0140272i
\(210\) 1.26009e6 1.16919e6i 0.136064 0.126249i
\(211\) 289305. 230713.i 0.0307970 0.0245598i −0.607970 0.793960i \(-0.708016\pi\)
0.638767 + 0.769400i \(0.279445\pi\)
\(212\) −902504. 615317.i −0.0947200 0.0645790i
\(213\) −1.57336e6 757693.i −0.162814 0.0784069i
\(214\) 43416.4i 0.00443009i
\(215\) −1.19715e7 744845.i −1.20457 0.0749463i
\(216\) −4.91961e6 −0.488168
\(217\) −5.62404e6 + 1.16784e7i −0.550389 + 1.14289i
\(218\) 2.15724e6 3.16410e6i 0.208224 0.305408i
\(219\) 5.57145e6 + 6.98638e6i 0.530440 + 0.665151i
\(220\) −1.58111e6 1.70403e6i −0.148489 0.160033i
\(221\) 3.71668e6 + 6.43748e6i 0.344333 + 0.596402i
\(222\) 112190. + 64773.2i 0.0102541 + 0.00592020i
\(223\) 3.89509e6 889029.i 0.351239 0.0801681i −0.0432613 0.999064i \(-0.513775\pi\)
0.394500 + 0.918896i \(0.370918\pi\)
\(224\) 2.11467e6 + 5.38809e6i 0.188147 + 0.479392i
\(225\) −1.51896e6 + 468538.i −0.133352 + 0.0411337i
\(226\) −1.29394e6 + 1.62255e6i −0.112096 + 0.140564i
\(227\) 1.90521e7 1.42776e6i 1.62879 0.122061i 0.771268 0.636510i \(-0.219623\pi\)
0.857521 + 0.514449i \(0.172004\pi\)
\(228\) −1.31238e6 404815.i −0.110727 0.0341548i
\(229\) −9.27813e6 + 6.32572e6i −0.772599 + 0.526749i −0.884259 0.466998i \(-0.845336\pi\)
0.111660 + 0.993746i \(0.464383\pi\)
\(230\) −1.92372e6 + 289955.i −0.158110 + 0.0238312i
\(231\) 349651. 1.53192e6i 0.0283661 0.124280i
\(232\) −746535. 692683.i −0.0597842 0.0554716i
\(233\) −5.60731e6 420210.i −0.443289 0.0332199i −0.148784 0.988870i \(-0.547536\pi\)
−0.294505 + 0.955650i \(0.595155\pi\)
\(234\) −833800. 327242.i −0.0650750 0.0255400i
\(235\) 2.94344e6 1.95284e7i 0.226804 1.50475i
\(236\) 1.97327e7 9.50278e6i 1.50124 0.722961i
\(237\) 959.700 + 1992.84i 7.20926e−5 + 0.000149702i
\(238\) 1.70718e6 + 257316.i 0.126633 + 0.0190869i
\(239\) −4.22057e6 + 1.07538e7i −0.309156 + 0.787716i 0.688868 + 0.724886i \(0.258108\pi\)
−0.998024 + 0.0628299i \(0.979987\pi\)
\(240\) −876334. + 1.16939e7i −0.0633922 + 0.845911i
\(241\) 1.35045e7 1.45544e7i 0.964777 1.03978i −0.0344078 0.999408i \(-0.510955\pi\)
0.999185 0.0403742i \(-0.0128550\pi\)
\(242\) −3.06823e6 700303.i −0.216492 0.0494128i
\(243\) 1.25574e6 + 8.33132e6i 0.0875150 + 0.580624i
\(244\) 3.99039e6 + 5.85282e6i 0.274692 + 0.402899i
\(245\) 1.87663e6 6.08389e6i 0.127609 0.413698i
\(246\) −106191. 1.41702e6i −0.00713318 0.0951857i
\(247\) −1.71721e6 1.36943e6i −0.113955 0.0908757i
\(248\) 3.19551e6 + 1.03596e7i 0.209501 + 0.679184i
\(249\) 1.04057e6 408392.i 0.0674018 0.0264532i
\(250\) 525516. + 2.30243e6i 0.0336330 + 0.147356i
\(251\) 7.76854e6 1.34555e7i 0.491267 0.850900i −0.508682 0.860955i \(-0.669867\pi\)
0.999949 + 0.0100542i \(0.00320042\pi\)
\(252\) 3.21175e6 1.85431e6i 0.200697 0.115872i
\(253\) −1.30362e6 + 1.20958e6i −0.0804990 + 0.0746921i
\(254\) −3.94295e6 + 3.14440e6i −0.240614 + 0.191883i
\(255\) 9.56053e6 + 6.51826e6i 0.576582 + 0.393107i
\(256\) −7.71079e6 3.71332e6i −0.459599 0.221331i
\(257\) 1.30737e7i 0.770194i −0.922876 0.385097i \(-0.874168\pi\)
0.922876 0.385097i \(-0.125832\pi\)
\(258\) −3.16368e6 932165.i −0.184219 0.0542792i
\(259\) −857789. −0.0493720
\(260\) −8.64937e6 + 1.79606e7i −0.492113 + 1.02188i
\(261\) −556367. + 816040.i −0.0312925 + 0.0458976i
\(262\) −627576. 786955.i −0.0348949 0.0437568i
\(263\) −5.00427e6 5.39333e6i −0.275089 0.296476i 0.580362 0.814358i \(-0.302911\pi\)
−0.855452 + 0.517882i \(0.826720\pi\)
\(264\) −657110. 1.13815e6i −0.0357130 0.0618567i
\(265\) −2.35494e6 1.35963e6i −0.126544 0.0730604i
\(266\) −497340. + 113515.i −0.0264246 + 0.00603125i
\(267\) −1.05169e7 2.67966e7i −0.552526 1.40781i
\(268\) −3.89148e6 + 1.20036e6i −0.202167 + 0.0623603i
\(269\) −1.79378e7 + 2.24933e7i −0.921538 + 1.15557i 0.0659409 + 0.997824i \(0.478995\pi\)
−0.987479 + 0.157749i \(0.949576\pi\)
\(270\) −5.93987e6 + 445132.i −0.301777 + 0.0226150i
\(271\) −3.08487e6 951557.i −0.154999 0.0478109i 0.216285 0.976330i \(-0.430606\pi\)
−0.371284 + 0.928519i \(0.621082\pi\)
\(272\) −9.73126e6 + 6.63466e6i −0.483574 + 0.329695i
\(273\) −1.33247e7 + 2.00837e6i −0.654890 + 0.0987087i
\(274\) −856567. + 3.75287e6i −0.0416399 + 0.182436i
\(275\) −1.32980e6 1.23387e6i −0.0639423 0.0593298i
\(276\) 9.50947e6 + 712636.i 0.452302 + 0.0338954i
\(277\) −2.98769e7 1.17258e7i −1.40571 0.551701i −0.463314 0.886194i \(-0.653340\pi\)
−0.942398 + 0.334493i \(0.891435\pi\)
\(278\) 1.17826e6 7.81724e6i 0.0548411 0.363847i
\(279\) 9.47282e6 4.56187e6i 0.436181 0.210054i
\(280\) 4.13047e6 + 8.57701e6i 0.188159 + 0.390717i
\(281\) 643191. + 96945.5i 0.0289882 + 0.00436927i 0.163520 0.986540i \(-0.447715\pi\)
−0.134532 + 0.990909i \(0.542953\pi\)
\(282\) 1.98393e6 5.05498e6i 0.0884667 0.225409i
\(283\) 303307. 4.04735e6i 0.0133821 0.178571i −0.986508 0.163716i \(-0.947652\pi\)
0.999890 0.0148556i \(-0.00472887\pi\)
\(284\) 3.19929e6 3.44802e6i 0.139669 0.150527i
\(285\) −3.33329e6 760801.i −0.143992 0.0328652i
\(286\) −152352. 1.01079e6i −0.00651254 0.0432079i
\(287\) 5.30034e6 + 7.77417e6i 0.224211 + 0.328858i
\(288\) 1.38388e6 4.48644e6i 0.0579325 0.187812i
\(289\) −935320. 1.24810e7i −0.0387496 0.517077i
\(290\) −964031. 768789.i −0.0395273 0.0315219i
\(291\) −2.75026e6 8.91612e6i −0.111608 0.361824i
\(292\) −2.24050e7 + 8.79332e6i −0.899905 + 0.353187i
\(293\) −7.81295e6 3.42308e7i −0.310608 1.36086i −0.853515 0.521069i \(-0.825534\pi\)
0.542907 0.839793i \(-0.317324\pi\)
\(294\) 875328. 1.51611e6i 0.0344452 0.0596608i
\(295\) 4.72187e7 2.72617e7i 1.83928 1.06191i
\(296\) −525919. + 487981.i −0.0202789 + 0.0188160i
\(297\) −4.25699e6 + 3.39484e6i −0.162493 + 0.129583i
\(298\) 1.25563e6 + 856074.i 0.0474474 + 0.0323491i
\(299\) 1.37403e7 + 6.61699e6i 0.514024 + 0.247541i
\(300\) 9.72763e6i 0.360282i
\(301\) 2.12279e7 5.12874e6i 0.778407 0.188066i
\(302\) −9.35467e6 −0.339631
\(303\) 1.18763e7 2.46614e7i 0.426927 0.886523i
\(304\) 1.96039e6 2.87537e6i 0.0697786 0.102346i
\(305\) 1.09950e7 + 1.37873e7i 0.387521 + 0.485936i
\(306\) −952512. 1.02656e6i −0.0332435 0.0358279i
\(307\) 1.00685e7 + 1.74392e7i 0.347977 + 0.602714i 0.985890 0.167395i \(-0.0535354\pi\)
−0.637913 + 0.770108i \(0.720202\pi\)
\(308\) 3.66531e6 + 2.11617e6i 0.125446 + 0.0724265i
\(309\) −3.83661e7 + 8.75681e6i −1.30039 + 0.296805i
\(310\) 4.79556e6 + 1.22189e7i 0.160974 + 0.410154i
\(311\) 3.79184e6 1.16963e6i 0.126058 0.0388836i −0.231085 0.972934i \(-0.574227\pi\)
0.357142 + 0.934050i \(0.383751\pi\)
\(312\) −7.02695e6 + 8.81152e6i −0.231368 + 0.290126i
\(313\) 2.84263e7 2.13026e6i 0.927017 0.0694703i 0.397342 0.917671i \(-0.369933\pi\)
0.529675 + 0.848200i \(0.322314\pi\)
\(314\) −1.20529e7 3.71784e6i −0.389317 0.120088i
\(315\) 7.62821e6 5.20082e6i 0.244057 0.166395i
\(316\) −5891.14 + 887.947i −0.000186697 + 2.81401e-5i
\(317\) −2.46989e6 + 1.08213e7i −0.0775354 + 0.339705i −0.998786 0.0492655i \(-0.984312\pi\)
0.921250 + 0.388970i \(0.127169\pi\)
\(318\) −548109. 508571.i −0.0170446 0.0158150i
\(319\) −1.12398e6 84230.6i −0.0346247 0.00259476i
\(320\) −2.55953e7 1.00454e7i −0.781105 0.306561i
\(321\) −78962.4 + 523881.i −0.00238729 + 0.0158386i
\(322\) 3.19130e6 1.53685e6i 0.0955874 0.0460325i
\(323\) −1.48992e6 3.09385e6i −0.0442136 0.0918104i
\(324\) 1.91385e7 + 2.88466e6i 0.562693 + 0.0848124i
\(325\) −5.68355e6 + 1.44815e7i −0.165566 + 0.421854i
\(326\) 274304. 3.66033e6i 0.00791733 0.105649i
\(327\) −3.17849e7 + 3.42560e7i −0.909028 + 0.979699i
\(328\) 7.67228e6 + 1.75115e6i 0.217422 + 0.0496251i
\(329\) 5.35912e6 + 3.55554e7i 0.150489 + 0.998431i
\(330\) −896366. 1.31473e6i −0.0249427 0.0365842i
\(331\) 1.14214e6 3.70273e6i 0.0314946 0.102103i −0.938461 0.345386i \(-0.887748\pi\)
0.969955 + 0.243283i \(0.0782243\pi\)
\(332\) 225004. + 3.00246e6i 0.00614859 + 0.0820472i
\(333\) 543986. + 433814.i 0.0147318 + 0.0117482i
\(334\) 3.45338e6 + 1.11956e7i 0.0926841 + 0.300475i
\(335\) −9.43729e6 + 3.70386e6i −0.251023 + 0.0985191i
\(336\) −4.75098e6 2.08154e7i −0.125246 0.548741i
\(337\) −927876. + 1.60713e6i −0.0242438 + 0.0419914i −0.877893 0.478857i \(-0.841051\pi\)
0.853649 + 0.520849i \(0.174384\pi\)
\(338\) 115457. 66659.3i 0.00299000 0.00172628i
\(339\) 1.85643e7 1.72251e7i 0.476517 0.442143i
\(340\) −2.43672e7 + 1.94322e7i −0.619966 + 0.494407i
\(341\) 9.91387e6 + 6.75917e6i 0.250023 + 0.170463i
\(342\) 372808. + 179535.i 0.00931980 + 0.00448818i
\(343\) 4.39073e7i 1.08806i
\(344\) 1.00974e7 1.52206e7i 0.248046 0.373902i
\(345\) 2.37398e7 0.578123
\(346\) 6.23794e6 1.29532e7i 0.150596 0.312716i
\(347\) −2.26061e7 + 3.31570e7i −0.541049 + 0.793574i −0.995253 0.0973243i \(-0.968972\pi\)
0.454203 + 0.890898i \(0.349924\pi\)
\(348\) 3.76842e6 + 4.72544e6i 0.0894172 + 0.112126i
\(349\) 4.94354e7 + 5.32786e7i 1.16295 + 1.25336i 0.961785 + 0.273806i \(0.0882825\pi\)
0.201166 + 0.979557i \(0.435527\pi\)
\(350\) 1.80661e6 + 3.12913e6i 0.0421366 + 0.0729827i
\(351\) 4.04380e7 + 2.33469e7i 0.935123 + 0.539893i
\(352\) 5.22371e6 1.19228e6i 0.119771 0.0273369i
\(353\) −208983. 532479.i −0.00475101 0.0121054i 0.928479 0.371386i \(-0.121117\pi\)
−0.933230 + 0.359281i \(0.883022\pi\)
\(354\) 1.43262e7 4.41903e6i 0.322939 0.0996133i
\(355\) 7.30079e6 9.15490e6i 0.163187 0.204630i
\(356\) 7.73192e7 5.79428e6i 1.71371 0.128425i
\(357\) −2.01316e7 6.20977e6i −0.442459 0.136481i
\(358\) 1.18744e7 8.09586e6i 0.258800 0.176447i
\(359\) −4.84592e7 + 7.30405e6i −1.04735 + 0.157863i −0.650102 0.759847i \(-0.725274\pi\)
−0.397251 + 0.917710i \(0.630036\pi\)
\(360\) 1.71827e6 7.52823e6i 0.0368285 0.161356i
\(361\) −3.37433e7 3.13092e7i −0.717242 0.665503i
\(362\) 4.91560e6 + 368373.i 0.103622 + 0.00776538i
\(363\) 3.57489e7 + 1.40304e7i 0.747383 + 0.293326i
\(364\) 5.40952e6 3.58898e7i 0.112164 0.744162i
\(365\) −5.39846e7 + 2.59976e7i −1.11018 + 0.534632i
\(366\) 2.10388e6 + 4.36876e6i 0.0429120 + 0.0891076i
\(367\) −5.15700e7 7.77293e6i −1.04328 0.157249i −0.395021 0.918672i \(-0.629263\pi\)
−0.648255 + 0.761423i \(0.724501\pi\)
\(368\) −8.82803e6 + 2.24934e7i −0.177141 + 0.451349i
\(369\) 570345. 7.61073e6i 0.0113516 0.151477i
\(370\) −590834. + 636768.i −0.0116643 + 0.0125712i
\(371\) 4.82681e6 + 1.10169e6i 0.0945232 + 0.0215743i
\(372\) −9.58964e6 6.36231e7i −0.186283 1.23591i
\(373\) −2.10496e7 3.08741e7i −0.405618 0.594932i 0.568025 0.823012i \(-0.307708\pi\)
−0.973643 + 0.228079i \(0.926755\pi\)
\(374\) 471065. 1.52716e6i 0.00900463 0.0291923i
\(375\) −2.15361e6 2.87380e7i −0.0408389 0.544957i
\(376\) 2.35126e7 + 1.87507e7i 0.442320 + 0.352739i
\(377\) 2.84909e6 + 9.23651e6i 0.0531718 + 0.172379i
\(378\) 1.00954e7 3.96214e6i 0.186916 0.0733591i
\(379\) −1.81321e7 7.94419e7i −0.333066 1.45926i −0.813160 0.582041i \(-0.802254\pi\)
0.480094 0.877217i \(-0.340603\pi\)
\(380\) 4.60454e6 7.97529e6i 0.0839141 0.145344i
\(381\) 5.32962e7 3.07706e7i 0.963655 0.556366i
\(382\) −8.51179e6 + 7.89779e6i −0.152697 + 0.141682i
\(383\) −7.25707e7 + 5.78732e7i −1.29171 + 1.03010i −0.294485 + 0.955656i \(0.595148\pi\)
−0.997225 + 0.0744479i \(0.976281\pi\)
\(384\) −3.13177e7 2.13521e7i −0.553091 0.377091i
\(385\) 9.49282e6 + 4.57150e6i 0.166346 + 0.0801081i
\(386\) 4.43760e6i 0.0771590i
\(387\) −1.60559e7 7.48318e6i −0.277014 0.129108i
\(388\) 2.51320e7 0.430261
\(389\) 7.35397e6 1.52707e7i 0.124932 0.259424i −0.829117 0.559075i \(-0.811156\pi\)
0.954049 + 0.299652i \(0.0968705\pi\)
\(390\) −7.68697e6 + 1.12747e7i −0.129587 + 0.190069i
\(391\) 1.48661e7 + 1.86415e7i 0.248695 + 0.311853i
\(392\) 6.59445e6 + 7.10713e6i 0.109476 + 0.117987i
\(393\) 6.14135e6 + 1.06371e7i 0.101178 + 0.175246i
\(394\) −2.23397e7 1.28978e7i −0.365249 0.210877i
\(395\) −14459.6 + 3300.31i −0.000234620 + 5.35504e-5i
\(396\) −1.25422e6 3.19569e6i −0.0201970 0.0514611i
\(397\) −6.95878e7 + 2.14650e7i −1.11215 + 0.343051i −0.795780 0.605586i \(-0.792939\pi\)
−0.316365 + 0.948637i \(0.602463\pi\)
\(398\) −1.14232e7 + 1.43242e7i −0.181192 + 0.227207i
\(399\) 6.20758e6 465194.i 0.0977246 0.00732344i
\(400\) −2.35539e7 7.26543e6i −0.368030 0.113522i
\(401\) −4.46272e7 + 3.04263e7i −0.692096 + 0.471863i −0.857581 0.514349i \(-0.828034\pi\)
0.165485 + 0.986212i \(0.447081\pi\)
\(402\) −2.75652e6 + 415479.i −0.0424310 + 0.00639545i
\(403\) 2.28970e7 1.00318e8i 0.349835 1.53273i
\(404\) 5.40454e7 + 5.01468e7i 0.819623 + 0.760499i
\(405\) 4.80479e7 + 3.60069e6i 0.723285 + 0.0542027i
\(406\) 2.08981e6 + 820190.i 0.0312269 + 0.0122556i
\(407\) −118346. + 785172.i −0.00175537 + 0.0116461i
\(408\) −1.58755e7 + 7.64524e6i −0.233748 + 0.112567i
\(409\) −2.04850e7 4.25376e7i −0.299410 0.621732i 0.695935 0.718105i \(-0.254990\pi\)
−0.995345 + 0.0963729i \(0.969276\pi\)
\(410\) 9.42185e6 + 1.42012e6i 0.136705 + 0.0206050i
\(411\) 1.71611e7 4.37259e7i 0.247184 0.629815i
\(412\) 7.92111e6 1.05700e8i 0.113265 1.51141i
\(413\) −6.75212e7 + 7.27706e7i −0.958496 + 1.03301i
\(414\) −2.80108e6 639328.i −0.0394752 0.00900995i
\(415\) 1.11714e6 + 7.41176e6i 0.0156302 + 0.103700i
\(416\) −2.58840e7 3.79648e7i −0.359543 0.527353i
\(417\) −2.84348e7 + 9.21833e7i −0.392141 + 1.27129i
\(418\) 35289.0 + 470899.i 0.000483182 + 0.00644761i
\(419\) 2.81702e6 + 2.24650e6i 0.0382955 + 0.0305396i 0.642451 0.766327i \(-0.277918\pi\)
−0.604155 + 0.796867i \(0.706489\pi\)
\(420\) −1.66534e7 5.39889e7i −0.224778 0.728713i
\(421\) 4.92840e7 1.93425e7i 0.660479 0.259219i −0.0113382 0.999936i \(-0.503609\pi\)
0.671818 + 0.740717i \(0.265514\pi\)
\(422\) 151816. + 665148.i 0.00202013 + 0.00885077i
\(423\) 1.45830e7 2.52586e7i 0.192676 0.333724i
\(424\) 3.58609e6 2.07043e6i 0.0470461 0.0271621i
\(425\) −1.78294e7 + 1.65433e7i −0.232258 + 0.215503i
\(426\) 2.51731e6 2.00749e6i 0.0325618 0.0259671i
\(427\) −2.65283e7 1.80867e7i −0.340742 0.232314i
\(428\) −1.28569e6 619156.i −0.0163985 0.00789711i
\(429\) 1.24737e7i 0.157988i
\(430\) 1.08142e7 1.92908e7i 0.136016 0.242630i
\(431\) 8.00911e7 1.00035 0.500176 0.865924i \(-0.333269\pi\)
0.500176 + 0.865924i \(0.333269\pi\)
\(432\) −3.21004e7 + 6.66573e7i −0.398162 + 0.826792i
\(433\) −6.32825e7 + 9.28184e7i −0.779507 + 1.14333i 0.206796 + 0.978384i \(0.433696\pi\)
−0.986303 + 0.164943i \(0.947256\pi\)
\(434\) −1.49008e7 1.86850e7i −0.182280 0.228572i
\(435\) 1.02342e7 + 1.10299e7i 0.124333 + 0.133999i
\(436\) −6.29342e7 1.09005e8i −0.759324 1.31519i
\(437\) −6.10129e6 3.52258e6i −0.0731101 0.0422102i
\(438\) −1.60626e7 + 3.66618e6i −0.191158 + 0.0436306i
\(439\) 1.48684e7 + 3.78840e7i 0.175740 + 0.447777i 0.991418 0.130728i \(-0.0417315\pi\)
−0.815679 + 0.578505i \(0.803636\pi\)
\(440\) 8.42079e6 2.59747e6i 0.0988541 0.0304924i
\(441\) 5.86245e6 7.35128e6i 0.0683540 0.0857131i
\(442\) −1.36670e7 + 1.02420e6i −0.158273 + 0.0118609i
\(443\) 6.02430e7 + 1.85825e7i 0.692940 + 0.213744i 0.621168 0.783677i \(-0.286658\pi\)
0.0717718 + 0.997421i \(0.477135\pi\)
\(444\) 3.51806e6 2.39857e6i 0.0401934 0.0274034i
\(445\) 1.90867e8 2.87686e7i 2.16596 0.326466i
\(446\) −1.63915e6 + 7.18160e6i −0.0184763 + 0.0809500i
\(447\) −1.35940e7 1.26134e7i −0.152204 0.141224i
\(448\) 4.99219e7 + 3.74113e6i 0.555209 + 0.0416072i
\(449\) −1.36463e8 5.35580e7i −1.50757 0.591678i −0.539417 0.842039i \(-0.681355\pi\)
−0.968153 + 0.250361i \(0.919451\pi\)
\(450\) 436814. 2.89807e6i 0.00479357 0.0318033i
\(451\) 7.84731e6 3.77906e6i 0.0855443 0.0411960i
\(452\) 2.95959e7 + 6.14566e7i 0.320491 + 0.665507i
\(453\) 1.12878e8 + 1.70136e7i 1.21426 + 0.183021i
\(454\) −1.28695e7 + 3.27909e7i −0.137529 + 0.350417i
\(455\) 6.75228e6 9.01029e7i 0.0716830 0.956543i
\(456\) 3.54129e6 3.81660e6i 0.0373479 0.0402515i
\(457\) −7.04835e6 1.60874e6i −0.0738481 0.0168553i 0.185437 0.982656i \(-0.440630\pi\)
−0.259285 + 0.965801i \(0.583487\pi\)
\(458\) −3.08580e6 2.04730e7i −0.0321197 0.213100i
\(459\) 4.11239e7 + 6.03178e7i 0.425262 + 0.623745i
\(460\) −1.88475e7 + 6.11022e7i −0.193634 + 0.627745i
\(461\) 1.24127e7 + 1.65636e8i 0.126696 + 1.69064i 0.592355 + 0.805677i \(0.298198\pi\)
−0.465659 + 0.884964i \(0.654183\pi\)
\(462\) 2.26507e6 + 1.80633e6i 0.0229697 + 0.0183177i
\(463\) 3.05021e7 + 9.88853e7i 0.307317 + 0.996297i 0.969114 + 0.246614i \(0.0793180\pi\)
−0.661797 + 0.749683i \(0.730206\pi\)
\(464\) −1.42565e7 + 5.59527e6i −0.142712 + 0.0560102i
\(465\) −3.56426e7 1.56160e8i −0.354495 1.55315i
\(466\) 5.18375e6 8.97853e6i 0.0512256 0.0887253i
\(467\) −8.05027e7 + 4.64783e7i −0.790424 + 0.456351i −0.840112 0.542414i \(-0.817511\pi\)
0.0496881 + 0.998765i \(0.484177\pi\)
\(468\) −2.15813e7 + 2.00246e7i −0.210543 + 0.195355i
\(469\) 1.44314e7 1.15086e7i 0.139891 0.111559i
\(470\) 3.00854e7 + 2.05118e7i 0.289775 + 0.197566i
\(471\) 1.38674e8 + 6.67820e7i 1.32719 + 0.639141i
\(472\) 8.30280e7i 0.789585i
\(473\) −1.76584e6 2.01384e7i −0.0166866 0.190301i
\(474\) −4078.18 −3.82940e−5
\(475\) 3.11817e6 6.47494e6i 0.0290950 0.0604164i
\(476\) 3.19658e7 4.68851e7i 0.296390 0.434725i
\(477\) −2.50387e6 3.13975e6i −0.0230704 0.0289294i
\(478\) −1.44876e7 1.56139e7i −0.132652 0.142964i
\(479\) −2.23574e7 3.87241e7i −0.203430 0.352351i 0.746202 0.665720i \(-0.231876\pi\)
−0.949631 + 0.313369i \(0.898542\pi\)
\(480\) −6.19438e7 3.57632e7i −0.560111 0.323380i
\(481\) 6.63873e6 1.51525e6i 0.0596554 0.0136160i
\(482\) 1.33740e7 + 3.40764e7i 0.119432 + 0.304307i
\(483\) −4.13028e7 + 1.27402e7i −0.366554 + 0.113067i
\(484\) −6.44937e7 + 8.08725e7i −0.568828 + 0.713288i
\(485\) 6.23903e7 4.67551e6i 0.546880 0.0409830i
\(486\) −1.48443e7 4.57886e6i −0.129315 0.0398885i
\(487\) −6.87354e7 + 4.68630e7i −0.595105 + 0.405736i −0.823075 0.567932i \(-0.807743\pi\)
0.227970 + 0.973668i \(0.426791\pi\)
\(488\) −2.65539e7 + 4.00236e6i −0.228491 + 0.0344395i
\(489\) −9.96700e6 + 4.36683e7i −0.0852389 + 0.373456i
\(490\) 8.60511e6 + 7.98437e6i 0.0731422 + 0.0678661i
\(491\) −1.55095e7 1.16227e6i −0.131025 0.00981893i 0.00905639 0.999959i \(-0.497117\pi\)
−0.140081 + 0.990140i \(0.544736\pi\)
\(492\) −4.34767e7 1.70633e7i −0.365058 0.143275i
\(493\) −2.25234e6 + 1.49433e7i −0.0187972 + 0.124711i
\(494\) 3.64857e6 1.75706e6i 0.0302651 0.0145749i
\(495\) −3.70811e6 7.69998e6i −0.0305729 0.0634854i
\(496\) 1.61216e8 + 2.42994e7i 1.32118 + 0.199136i
\(497\) −7.78892e6 + 1.98458e7i −0.0634465 + 0.161659i
\(498\) −154020. + 2.05526e6i −0.00124707 + 0.0166410i
\(499\) −7.88683e7 + 8.49998e7i −0.634747 + 0.684095i −0.965732 0.259541i \(-0.916429\pi\)
0.330985 + 0.943636i \(0.392619\pi\)
\(500\) 7.56763e7 + 1.72726e7i 0.605411 + 0.138181i
\(501\) −2.13084e7 1.41372e8i −0.169448 1.12422i
\(502\) 1.61372e7 + 2.36689e7i 0.127561 + 0.187097i
\(503\) 368055. 1.19320e6i 0.00289207 0.00937586i −0.954115 0.299440i \(-0.903200\pi\)
0.957007 + 0.290064i \(0.0936765\pi\)
\(504\) 1.05064e6 + 1.40198e7i 0.00820659 + 0.109509i
\(505\) 1.43497e8 + 1.14435e8i 1.11421 + 0.888555i
\(506\) −966457. 3.13318e6i −0.00745986 0.0241843i
\(507\) −1.51439e6 + 594356.i −0.0116202 + 0.00456061i
\(508\) 3.68852e7 + 1.61605e8i 0.281359 + 1.23271i
\(509\) 1.05347e8 1.82466e8i 0.798856 1.38366i −0.121506 0.992591i \(-0.538773\pi\)
0.920362 0.391068i \(-0.127894\pi\)
\(510\) −1.84761e7 + 1.06672e7i −0.139284 + 0.0804155i
\(511\) 7.99711e7 7.42023e7i 0.599336 0.556102i
\(512\) 9.66347e7 7.70636e7i 0.719985 0.574169i
\(513\) −1.78225e7 1.21512e7i −0.132013 0.0900050i
\(514\) 2.17177e7 + 1.04587e7i 0.159928 + 0.0770171i
\(515\) 2.63874e8i 1.93185i
\(516\) −7.27210e7 + 8.03926e7i −0.529311 + 0.585149i
\(517\) 3.32848e7 0.240866
\(518\) 686211. 1.42493e6i 0.00493706 0.0102519i
\(519\) −9.88281e7 + 1.44954e8i −0.706933 + 1.03688i
\(520\) −4.71181e7 5.90842e7i −0.335103 0.420205i
\(521\) −1.03972e8 1.12055e8i −0.735196 0.792353i 0.249175 0.968458i \(-0.419840\pi\)
−0.984371 + 0.176106i \(0.943650\pi\)
\(522\) −910500. 1.57703e6i −0.00640130 0.0110874i
\(523\) −1.33450e8 7.70477e7i −0.932857 0.538585i −0.0451429 0.998981i \(-0.514374\pi\)
−0.887714 + 0.460395i \(0.847708\pi\)
\(524\) −3.22539e7 + 7.36174e6i −0.224175 + 0.0511666i
\(525\) −1.61083e7 4.10432e7i −0.111319 0.283637i
\(526\) 1.29625e7 3.99841e6i 0.0890702 0.0274745i
\(527\) 1.00304e8 1.25777e8i 0.685307 0.859348i
\(528\) −1.97087e7 + 1.47697e6i −0.133893 + 0.0100339i
\(529\) −9.47144e7 2.92155e7i −0.639807 0.197354i
\(530\) 4.14246e6 2.82428e6i 0.0278247 0.0189706i
\(531\) 7.96228e7 1.20012e7i 0.531807 0.0801569i
\(532\) −3.73100e6 + 1.63466e7i −0.0247793 + 0.108565i
\(533\) −5.47539e7 5.08042e7i −0.361604 0.335520i
\(534\) 5.29268e7 + 3.96632e6i 0.347578 + 0.0260474i
\(535\) −3.30691e6 1.29787e6i −0.0215954 0.00847557i
\(536\) 2.30095e6 1.52658e7i 0.0149422 0.0991347i
\(537\) −1.58006e8 + 7.60919e7i −1.02036 + 0.491378i
\(538\) −2.30154e7 4.77919e7i −0.147799 0.306908i
\(539\) 1.06106e7 + 1.59929e6i 0.0677601 + 0.0102132i
\(540\) −7.15260e7 + 1.82245e8i −0.454237 + 1.15738i
\(541\) 1.77079e7 2.36295e8i 0.111834 1.49232i −0.605640 0.795738i \(-0.707083\pi\)
0.717475 0.696585i \(-0.245298\pi\)
\(542\) 4.04852e6 4.36327e6i 0.0254272 0.0274040i
\(543\) −5.86439e7 1.33851e7i −0.366288 0.0836029i
\(544\) −1.07069e7 7.10360e7i −0.0665073 0.441247i
\(545\) −1.76513e8 2.58898e8i −1.09041 1.59933i
\(546\) 7.32317e6 2.37411e7i 0.0449906 0.145856i
\(547\) 2.18856e7 + 2.92043e8i 0.133720 + 1.78437i 0.512307 + 0.858802i \(0.328791\pi\)
−0.378587 + 0.925566i \(0.623590\pi\)
\(548\) 9.89182e7 + 7.88847e7i 0.601083 + 0.479348i
\(549\) 7.67643e6 + 2.48864e7i 0.0463919 + 0.150399i
\(550\) 3.11348e6 1.22195e6i 0.0187136 0.00734457i
\(551\) −993618. 4.35332e6i −0.00593970 0.0260235i
\(552\) −1.80755e7 + 3.13076e7i −0.107466 + 0.186137i
\(553\) 23385.8 13501.8i 0.000138285 7.98392e-5i
\(554\) 4.33794e7 4.02502e7i 0.255126 0.236722i
\(555\) 8.28737e6 6.60896e6i 0.0484772 0.0386593i
\(556\) −2.14689e8 1.46372e8i −1.24907 0.851599i
\(557\) 1.56516e8 + 7.53741e7i 0.905718 + 0.436171i 0.827951 0.560801i \(-0.189507\pi\)
0.0777671 + 0.996972i \(0.475221\pi\)
\(558\) 1.93853e7i 0.111576i
\(559\) −1.55230e8 + 7.71913e7i −0.888671 + 0.441909i
\(560\) 1.43164e8 0.815210
\(561\) −8.46156e6 + 1.75706e7i −0.0479249 + 0.0995172i
\(562\) −675581. + 990895.i −0.00380600 + 0.00558237i
\(563\) −1.34190e8 1.68269e8i −0.751960 0.942928i 0.247704 0.968836i \(-0.420324\pi\)
−0.999664 + 0.0259076i \(0.991752\pi\)
\(564\) −1.21401e8 1.30839e8i −0.676680 0.729287i
\(565\) 8.49052e7 + 1.47060e8i 0.470748 + 0.815360i
\(566\) 6.48069e6 + 3.74163e6i 0.0357414 + 0.0206353i
\(567\) −8.55266e7 + 1.95209e7i −0.469193 + 0.107090i
\(568\) 6.51449e6 + 1.65987e7i 0.0355497 + 0.0905791i
\(569\) −7.91328e7 + 2.44092e7i −0.429556 + 0.132500i −0.501991 0.864873i \(-0.667399\pi\)
0.0724355 + 0.997373i \(0.476923\pi\)
\(570\) 3.93037e6 4.92853e6i 0.0212231 0.0266129i
\(571\) 6.56146e7 4.91713e6i 0.352445 0.0264121i 0.102669 0.994716i \(-0.467262\pi\)
0.249777 + 0.968303i \(0.419643\pi\)
\(572\) −3.21052e7 9.90315e6i −0.171549 0.0529158i
\(573\) 1.17071e8 7.98176e7i 0.622279 0.424263i
\(574\) −1.71543e7 + 2.58560e6i −0.0907065 + 0.0136718i
\(575\) −1.11039e7 + 4.86492e7i −0.0584078 + 0.255901i
\(576\) −2.97671e7 2.76198e7i −0.155764 0.144528i
\(577\) 3.98425e7 + 2.98578e6i 0.207405 + 0.0155428i 0.178027 0.984026i \(-0.443028\pi\)
0.0293775 + 0.999568i \(0.490648\pi\)
\(578\) 2.14812e7 + 8.43077e6i 0.111244 + 0.0436600i
\(579\) −8.07078e6 + 5.35461e7i −0.0415795 + 0.275862i
\(580\) −3.65141e7 + 1.75842e7i −0.187144 + 0.0901239i
\(581\) −5.92122e6 1.22955e7i −0.0301914 0.0626930i
\(582\) 1.70113e7 + 2.56404e6i 0.0862917 + 0.0130064i
\(583\) 1.67436e6 4.26620e6i 0.00844973 0.0215296i
\(584\) 6.81863e6 9.09884e7i 0.0342341 0.456822i
\(585\) −4.98504e7 + 5.37259e7i −0.249001 + 0.268359i
\(586\) 6.31133e7 + 1.44052e7i 0.313637 + 0.0715857i
\(587\) 4.38172e7 + 2.90708e8i 0.216636 + 1.43729i 0.787537 + 0.616267i \(0.211356\pi\)
−0.570901 + 0.821019i \(0.693406\pi\)
\(588\) −3.24137e7 4.75422e7i −0.159440 0.233855i
\(589\) −1.40111e7 + 4.54230e7i −0.0685690 + 0.222295i
\(590\) 7.51246e6 + 1.00247e8i 0.0365785 + 0.488107i
\(591\) 2.46103e8 + 1.96261e8i 1.19222 + 0.950761i
\(592\) 3.18019e6 + 1.03099e7i 0.0153281 + 0.0496924i
\(593\) 1.86095e8 7.30368e7i 0.892422 0.350250i 0.125578 0.992084i \(-0.459921\pi\)
0.766844 + 0.641834i \(0.221826\pi\)
\(594\) −2.23390e6 9.78737e6i −0.0106587 0.0466989i
\(595\) 7.06326e7 1.22339e8i 0.335316 0.580785i
\(596\) 4.32573e7 2.49746e7i 0.204325 0.117967i
\(597\) 1.63889e8 1.52067e8i 0.770243 0.714681i
\(598\) −2.19839e7 + 1.75315e7i −0.102802 + 0.0819816i
\(599\) 2.36183e8 + 1.61027e8i 1.09892 + 0.749234i 0.970166 0.242442i \(-0.0779486\pi\)
0.128758 + 0.991676i \(0.458901\pi\)
\(600\) −3.32249e7 1.60003e7i −0.153819 0.0740754i
\(601\) 1.08519e8i 0.499901i −0.968259 0.249950i \(-0.919586\pi\)
0.968259 0.249950i \(-0.0804143\pi\)
\(602\) −8.46209e6 + 3.93659e7i −0.0387872 + 0.180439i
\(603\) −1.49723e7 −0.0682868
\(604\) −1.33406e8 + 2.77020e8i −0.605429 + 1.25719i
\(605\) −1.45060e8 + 2.12764e8i −0.655062 + 0.960799i
\(606\) 3.14660e7 + 3.94571e7i 0.141392 + 0.177299i
\(607\) −2.65514e8 2.86156e8i −1.18719 1.27949i −0.951494 0.307666i \(-0.900452\pi\)
−0.235700 0.971826i \(-0.575738\pi\)
\(608\) 1.06133e7 + 1.83828e7i 0.0472215 + 0.0817900i
\(609\) −2.37249e7 1.36976e7i −0.105039 0.0606445i
\(610\) −3.16987e7 + 7.23503e6i −0.139654 + 0.0318750i
\(611\) −1.04283e8 2.65709e8i −0.457184 1.16489i
\(612\) −4.39833e7 + 1.35670e7i −0.191882 + 0.0591877i
\(613\) 2.64068e8 3.31131e8i 1.14639 1.43753i 0.265570 0.964092i \(-0.414440\pi\)
0.880825 0.473442i \(-0.156989\pi\)
\(614\) −3.70240e7 + 2.77457e6i −0.159948 + 0.0119864i
\(615\) −1.11105e8 3.42715e7i −0.477650 0.147336i
\(616\) −1.32566e7 + 9.03820e6i −0.0567140 + 0.0386670i
\(617\) 6.64811e7 1.00204e7i 0.283037 0.0426609i −0.00598968 0.999982i \(-0.501907\pi\)
0.289026 + 0.957321i \(0.406668\pi\)
\(618\) 1.61454e7 7.07378e7i 0.0684045 0.299700i
\(619\) −7.00996e7 6.50430e7i −0.295559 0.274238i 0.518429 0.855121i \(-0.326517\pi\)
−0.813988 + 0.580882i \(0.802708\pi\)
\(620\) 4.30227e8 + 3.22411e7i 1.80519 + 0.135280i
\(621\) 1.39422e8 + 5.47192e7i 0.582180 + 0.228489i
\(622\) −1.09043e6 + 7.23456e6i −0.00453136 + 0.0300636i
\(623\) −3.16634e8 + 1.52483e8i −1.30946 + 0.630604i
\(624\) 7.35390e7 + 1.52705e8i 0.302666 + 0.628493i
\(625\) 3.01313e8 + 4.54156e7i 1.23418 + 0.186022i
\(626\) −1.92017e7 + 4.89251e7i −0.0782737 + 0.199438i
\(627\) 430622. 5.74626e6i 0.00174700 0.0233121i
\(628\) −2.81982e8 + 3.03904e8i −1.13852 + 1.22704i
\(629\) 1.03792e7 + 2.36899e6i 0.0417074 + 0.00951945i
\(630\) 2.53706e6 + 1.68323e7i 0.0101463 + 0.0673165i
\(631\) 6.48743e7 + 9.51531e7i 0.258217 + 0.378735i 0.933354 0.358958i \(-0.116868\pi\)
−0.675137 + 0.737692i \(0.735915\pi\)
\(632\) 6657.12 21581.9i 2.63715e−5 8.54944e-5i
\(633\) −622155. 8.30209e6i −0.00245294 0.0327323i
\(634\) −1.60001e7 1.27597e7i −0.0627850 0.0500694i
\(635\) 1.21632e8 + 3.94322e8i 0.475037 + 1.54003i
\(636\) −2.28768e7 + 8.97849e6i −0.0889251 + 0.0349005i
\(637\) −2.04766e7 8.97141e7i −0.0792211 0.347090i
\(638\) 1.03908e6 1.79974e6i 0.00400116 0.00693022i
\(639\) 1.49763e7 8.64655e6i 0.0573986 0.0331391i
\(640\) 1.86312e8 1.72872e8i 0.710723 0.659454i
\(641\) 1.41191e8 1.12596e8i 0.536085 0.427513i −0.317660 0.948205i \(-0.602897\pi\)
0.853745 + 0.520691i \(0.174326\pi\)
\(642\) −807087. 550263.i −0.00305011 0.00207953i
\(643\) −3.27923e8 1.57920e8i −1.23350 0.594023i −0.300460 0.953794i \(-0.597140\pi\)
−0.933040 + 0.359772i \(0.882855\pi\)
\(644\) 1.16421e8i 0.435887i
\(645\) −1.65574e8 + 2.13104e8i −0.617040 + 0.794166i
\(646\) 6.33131e6 0.0234853
\(647\) 1.09178e8 2.26711e8i 0.403110 0.837067i −0.596301 0.802761i \(-0.703364\pi\)
0.999411 0.0343061i \(-0.0109221\pi\)
\(648\) −4.13321e7 + 6.06230e7i −0.151902 + 0.222799i
\(649\) 5.72945e7 + 7.18450e7i 0.209594 + 0.262823i
\(650\) −1.95094e7 2.10262e7i −0.0710403 0.0765632i
\(651\) 1.45816e8 + 2.52562e8i 0.528523 + 0.915428i
\(652\) −1.04482e8 6.03224e7i −0.376961 0.217639i
\(653\) 2.43961e8 5.56824e7i 0.876154 0.199976i 0.239286 0.970949i \(-0.423087\pi\)
0.636868 + 0.770973i \(0.280230\pi\)
\(654\) −3.14778e7 8.02040e7i −0.112531 0.286723i
\(655\) −7.87007e7 + 2.42760e7i −0.280062 + 0.0863878i
\(656\) 7.37884e7 9.25277e7i 0.261383 0.327763i
\(657\) −8.82422e7 + 6.61284e6i −0.311158 + 0.0233180i
\(658\) −6.33507e7 1.95411e7i −0.222369 0.0685917i
\(659\) −3.50350e8 + 2.38865e8i −1.22418 + 0.834633i −0.990478 0.137674i \(-0.956037\pi\)
−0.233705 + 0.972308i \(0.575085\pi\)
\(660\) −5.17160e7 + 7.79493e6i −0.179884 + 0.0271132i
\(661\) −5.92098e7 + 2.59415e8i −0.205017 + 0.898237i 0.762811 + 0.646622i \(0.223819\pi\)
−0.967827 + 0.251615i \(0.919038\pi\)
\(662\) 5.23718e6 + 4.85939e6i 0.0180519 + 0.0167497i
\(663\) 1.66775e8 + 1.24980e7i 0.572255 + 0.0428846i
\(664\) −1.06251e7 4.17003e6i −0.0362934 0.0142441i
\(665\) −6.22112e6 + 4.12745e7i −0.0211546 + 0.140351i
\(666\) −1.15581e6 + 556611.i −0.00391260 + 0.00188421i
\(667\) 1.34524e7 + 2.79342e7i 0.0453338 + 0.0941365i
\(668\) 3.80783e8 + 5.73939e7i 1.27746 + 0.192547i
\(669\) 3.28401e7 8.36753e7i 0.109680 0.279459i
\(670\) 1.39687e6 1.86399e7i 0.00464442 0.0619755i
\(671\) −2.02155e7 + 2.17872e7i −0.0669141 + 0.0721162i
\(672\) 1.26963e8 + 2.89785e7i 0.418379 + 0.0954922i
\(673\) 2.10664e7 + 1.39766e8i 0.0691106 + 0.458519i 0.996442 + 0.0842783i \(0.0268585\pi\)
−0.927332 + 0.374241i \(0.877903\pi\)
\(674\) −1.92743e6 2.82702e6i −0.00629505 0.00923314i
\(675\) −4.50337e7 + 1.45996e8i −0.146429 + 0.474710i
\(676\) −327460. 4.36966e6i −0.00106003 0.0141451i
\(677\) 1.91013e8 + 1.52327e8i 0.615596 + 0.490922i 0.880937 0.473233i \(-0.156913\pi\)
−0.265341 + 0.964155i \(0.585485\pi\)
\(678\) 1.37628e7 + 4.46181e7i 0.0441590 + 0.143160i
\(679\) −1.06038e8 + 4.16169e7i −0.338729 + 0.132941i
\(680\) −2.62912e7 1.15189e8i −0.0836148 0.366340i
\(681\) 2.14926e8 3.72263e8i 0.680532 1.17872i
\(682\) −1.91590e7 + 1.10614e7i −0.0603975 + 0.0348705i
\(683\) 2.91418e8 2.70396e8i 0.914648 0.848669i −0.0742538 0.997239i \(-0.523657\pi\)
0.988902 + 0.148570i \(0.0474670\pi\)
\(684\) 1.06331e7 8.47964e6i 0.0332271 0.0264978i
\(685\) 2.60240e8 + 1.77429e8i 0.809660 + 0.552017i
\(686\) −7.29373e7 3.51248e7i −0.225932 0.108803i
\(687\) 2.52648e8i 0.779195i
\(688\) −1.40344e8 2.36127e8i −0.430951 0.725070i
\(689\) −3.93024e7 −0.120161
\(690\) −1.89913e7 + 3.94359e7i −0.0578106 + 0.120045i
\(691\) −2.58308e8 + 3.78868e8i −0.782895 + 1.14830i 0.202711 + 0.979239i \(0.435025\pi\)
−0.985606 + 0.169058i \(0.945928\pi\)
\(692\) −2.94625e8 3.69448e8i −0.889102 1.11490i
\(693\) 1.05837e7 + 1.14065e7i 0.0318007 + 0.0342730i
\(694\) −3.69951e7 6.40774e7i −0.110679 0.191702i
\(695\) −5.60196e8 3.23430e8i −1.66873 0.963441i
\(696\) −2.23383e7 + 5.09856e6i −0.0662554 + 0.0151224i
\(697\) −4.26638e7 1.08706e8i −0.125997 0.321036i
\(698\) −1.28052e8 + 3.94988e7i −0.376548 + 0.116150i
\(699\) −7.88790e7 + 9.89111e7i −0.230956 + 0.289610i
\(700\) 1.18427e8 8.87486e6i 0.345268 0.0258742i
\(701\) −3.68385e8 1.13632e8i −1.06942 0.329872i −0.290422 0.956899i \(-0.593796\pi\)
−0.778998 + 0.627026i \(0.784272\pi\)
\(702\) −7.11326e7 + 4.84974e7i −0.205616 + 0.140187i
\(703\) −3.11056e6 + 468842.i −0.00895309 + 0.00134946i
\(704\) 1.03119e7 4.51795e7i 0.0295544 0.129486i
\(705\) −3.25718e8 3.02222e8i −0.929553 0.862499i
\(706\) 1.05172e6 + 78815.4i 0.00298872 + 0.000223974i
\(707\) −3.11070e8 1.22086e8i −0.880238 0.345468i
\(708\) 7.34426e7 4.87260e8i 0.206942 1.37297i
\(709\) 9.27281e7 4.46555e7i 0.260179 0.125296i −0.299248 0.954176i \(-0.596736\pi\)
0.559427 + 0.828880i \(0.311021\pi\)
\(710\) 9.36737e6 + 1.94516e7i 0.0261724 + 0.0543475i
\(711\) −21659.0 3264.56i −6.02600e−5 9.08273e-6i
\(712\) −1.07386e8 + 2.73616e8i −0.297515 + 0.758057i
\(713\) 2.46652e7 3.29134e8i 0.0680482 0.908039i
\(714\) 2.64203e7 2.84743e7i 0.0725843 0.0782273i
\(715\) −8.15436e7 1.86118e7i −0.223086 0.0509179i
\(716\) −7.04028e7 4.67092e8i −0.191801 1.27252i
\(717\) 1.46416e8 + 2.14753e8i 0.397221 + 0.582616i
\(718\) 2.66330e7 8.63420e7i 0.0719526 0.233265i
\(719\) −2.24590e7 2.99694e8i −0.0604232 0.806291i −0.942291 0.334795i \(-0.891333\pi\)
0.881868 0.471496i \(-0.156286\pi\)
\(720\) −9.07906e7 7.24031e7i −0.243245 0.193981i
\(721\) 1.41611e8 + 4.59090e8i 0.377824 + 1.22488i
\(722\) 7.90037e7 3.10067e7i 0.209911 0.0823841i
\(723\) −9.94010e7 4.35504e8i −0.263012 1.15233i
\(724\) 8.10094e7 1.40312e8i 0.213462 0.369726i
\(725\) −2.73900e7 + 1.58136e7i −0.0718749 + 0.0414970i
\(726\) −5.19052e7 + 4.81610e7i −0.135644 + 0.125859i
\(727\) −1.62265e8 + 1.29402e8i −0.422300 + 0.336773i −0.811471 0.584392i \(-0.801333\pi\)
0.389171 + 0.921166i \(0.372762\pi\)
\(728\) 1.13685e8 + 7.75089e7i 0.294651 + 0.200890i
\(729\) 3.80561e8 + 1.83269e8i 0.982295 + 0.473048i
\(730\) 1.10475e8i 0.283985i
\(731\) −2.71021e8 + 3.43179e6i −0.693827 + 0.00878554i
\(732\) 1.59375e8 0.406338
\(733\) −2.23439e8 + 4.63975e8i −0.567344 + 1.17810i 0.398064 + 0.917358i \(0.369682\pi\)
−0.965408 + 0.260744i \(0.916032\pi\)
\(734\) 5.41670e7 7.94484e7i 0.136977 0.200908i
\(735\) −8.93117e7 1.11993e8i −0.224929 0.282053i
\(736\) −1.00248e8 1.08042e8i −0.251445 0.270994i
\(737\) −8.54333e6 1.47975e7i −0.0213415 0.0369645i
\(738\) 1.21864e7 + 7.03585e6i 0.0303185 + 0.0175044i
\(739\) 5.23745e8 1.19541e8i 1.29774 0.296200i 0.482790 0.875736i \(-0.339623\pi\)
0.814946 + 0.579536i \(0.196766\pi\)
\(740\) 1.04308e7 + 2.65772e7i 0.0257408 + 0.0655865i
\(741\) −4.72209e7 + 1.45657e7i −0.116059 + 0.0357995i
\(742\) −5.69142e6 + 7.13682e6i −0.0139319 + 0.0174700i
\(743\) 2.94301e8 2.20548e7i 0.717507 0.0537697i 0.289027 0.957321i \(-0.406668\pi\)
0.428480 + 0.903551i \(0.359049\pi\)
\(744\) 2.33079e8 + 7.18955e7i 0.565959 + 0.174575i
\(745\) 1.02740e8 7.00470e7i 0.248468 0.169403i
\(746\) 6.81262e7 1.02684e7i 0.164096 0.0247335i
\(747\) −2.46322e6 + 1.07921e7i −0.00590937 + 0.0258906i
\(748\) −3.85059e7 3.57282e7i −0.0920073 0.0853703i
\(749\) 6.44991e6 + 483354.i 0.0153500 + 0.00115032i
\(750\) 4.94614e7 + 1.94122e7i 0.117242 + 0.0460141i
\(751\) 2.94199e7 1.95188e8i 0.0694579 0.460823i −0.926883 0.375351i \(-0.877522\pi\)
0.996341 0.0854720i \(-0.0272398\pi\)
\(752\) 4.07478e8 1.96231e8i 0.958188 0.461439i
\(753\) −1.51671e8 3.14949e8i −0.355238 0.737658i
\(754\) −1.76226e7 2.65618e6i −0.0411108 0.00619646i
\(755\) −2.79644e8 + 7.12521e8i −0.649777 + 1.65560i
\(756\) 2.66379e7 3.55457e8i 0.0616501 0.822663i
\(757\) −6.76476e7 + 7.29068e7i −0.155943 + 0.168066i −0.806191 0.591656i \(-0.798474\pi\)
0.650248 + 0.759722i \(0.274665\pi\)
\(758\) 1.46472e8 + 3.34312e7i 0.336315 + 0.0767617i
\(759\) 5.96332e6 + 3.95640e7i 0.0136384 + 0.0904847i
\(760\) 1.96661e7 + 2.88449e7i 0.0447999 + 0.0657095i
\(761\) −1.50383e8 + 4.87530e8i −0.341228 + 1.10623i 0.608604 + 0.793474i \(0.291730\pi\)
−0.949832 + 0.312760i \(0.898746\pi\)
\(762\) 8.47940e6 + 1.13150e8i 0.0191646 + 0.255734i
\(763\) 4.46040e8 + 3.55705e8i