Properties

Label 21.7.f.b.19.1
Level $21$
Weight $7$
Character 21.19
Analytic conductor $4.831$
Analytic rank $0$
Dimension $8$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 21 = 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 21.f (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.83113575602\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(4\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{8} - \cdots)\)
Defining polynomial: \(x^{8} - x^{7} + 212 x^{6} - 787 x^{5} + 38792 x^{4} - 92833 x^{3} + 1563109 x^{2} + 3107772 x + 38787984\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 3\cdot 7^{2} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 19.1
Root \(5.73828 - 9.93899i\) of defining polynomial
Character \(\chi\) \(=\) 21.19
Dual form 21.7.f.b.10.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-6.23828 + 10.8050i) q^{2} +(13.5000 - 7.79423i) q^{3} +(-45.8323 - 79.3839i) q^{4} +(-175.367 - 101.248i) q^{5} +194.490i q^{6} +(284.280 - 191.921i) q^{7} +345.159 q^{8} +(121.500 - 210.444i) q^{9} +O(q^{10})\) \(q+(-6.23828 + 10.8050i) q^{2} +(13.5000 - 7.79423i) q^{3} +(-45.8323 - 79.3839i) q^{4} +(-175.367 - 101.248i) q^{5} +194.490i q^{6} +(284.280 - 191.921i) q^{7} +345.159 q^{8} +(121.500 - 210.444i) q^{9} +(2187.98 - 1263.23i) q^{10} +(-437.884 - 758.438i) q^{11} +(-1237.47 - 714.455i) q^{12} +275.049i q^{13} +(300.287 + 4268.91i) q^{14} -3156.61 q^{15} +(780.069 - 1351.12i) q^{16} +(-3799.10 + 2193.41i) q^{17} +(1515.90 + 2625.62i) q^{18} +(-11697.8 - 6753.75i) q^{19} +18561.8i q^{20} +(2341.91 - 4806.68i) q^{21} +10926.6 q^{22} +(6367.61 - 11029.0i) q^{23} +(4659.64 - 2690.25i) q^{24} +(12689.9 + 21979.6i) q^{25} +(-2971.91 - 1715.83i) q^{26} -3788.00i q^{27} +(-28264.6 - 13771.1i) q^{28} +6262.53 q^{29} +(19691.8 - 34107.2i) q^{30} +(-17689.7 + 10213.2i) q^{31} +(20777.7 + 35988.0i) q^{32} +(-11822.9 - 6825.94i) q^{33} -54732.5i q^{34} +(-69285.1 + 4873.70i) q^{35} -22274.5 q^{36} +(-7862.08 + 13617.5i) q^{37} +(145949. - 84263.6i) q^{38} +(2143.79 + 3713.16i) q^{39} +(-60529.5 - 34946.7i) q^{40} +69941.8i q^{41} +(37326.8 + 55289.8i) q^{42} +113322. q^{43} +(-40138.5 + 69521.9i) q^{44} +(-42614.2 + 24603.3i) q^{45} +(79445.9 + 137604. i) q^{46} +(-40116.2 - 23161.1i) q^{47} -24320.1i q^{48} +(43981.8 - 109119. i) q^{49} -316653. q^{50} +(-34191.9 + 59222.2i) q^{51} +(21834.4 - 12606.1i) q^{52} +(-64013.2 - 110874. i) q^{53} +(40929.4 + 23630.6i) q^{54} +177340. i q^{55} +(98121.9 - 66243.2i) q^{56} -210561. q^{57} +(-39067.4 + 67666.8i) q^{58} +(242870. - 140221. i) q^{59} +(144675. + 250584. i) q^{60} +(84759.3 + 48935.8i) q^{61} -254850. i q^{62} +(-5848.55 - 83143.6i) q^{63} -418619. q^{64} +(27848.2 - 48234.5i) q^{65} +(147509. - 85164.3i) q^{66} +(-87278.8 - 151171. i) q^{67} +(348243. + 201058. i) q^{68} -198522. i q^{69} +(379559. - 779030. i) q^{70} +345712. q^{71} +(41936.8 - 72636.7i) q^{72} +(-104589. + 60384.4i) q^{73} +(-98091.8 - 169900. i) q^{74} +(342627. + 197816. i) q^{75} +1.23816e6i q^{76} +(-270042. - 131570. i) q^{77} -53494.3 q^{78} +(-381933. + 661527. i) q^{79} +(-273597. + 157961. i) q^{80} +(-29524.5 - 51137.9i) q^{81} +(-755722. - 436316. i) q^{82} -859402. i q^{83} +(-488908. + 34391.1i) q^{84} +888317. q^{85} +(-706933. + 1.22444e6i) q^{86} +(84544.2 - 48811.6i) q^{87} +(-151140. - 261781. i) q^{88} +(-155778. - 89938.3i) q^{89} -613930. i q^{90} +(52787.6 + 78190.9i) q^{91} -1.16737e6 q^{92} +(-159207. + 275755. i) q^{93} +(500512. - 288971. i) q^{94} +(1.36761e6 + 2.36877e6i) q^{95} +(560997. + 323892. i) q^{96} -340171. i q^{97} +(904659. + 1.15594e6i) q^{98} -212812. q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8q - 5q^{2} + 108q^{3} - 173q^{4} - 42q^{5} + 748q^{7} - 454q^{8} + 972q^{9} + O(q^{10}) \) \( 8q - 5q^{2} + 108q^{3} - 173q^{4} - 42q^{5} + 748q^{7} - 454q^{8} + 972q^{9} + 261q^{10} - 1070q^{11} - 4671q^{12} + 6070q^{14} - 756q^{15} + 3911q^{16} + 7212q^{17} + 1215q^{18} - 24606q^{19} + 8154q^{21} - 78q^{22} - 15224q^{23} - 6129q^{24} + 22274q^{25} - 19044q^{26} - 3415q^{28} + 32524q^{29} + 2349q^{30} + 40200q^{31} + 70203q^{32} - 28890q^{33} - 242436q^{35} - 84078q^{36} - 45670q^{37} + 503310q^{38} + 93366q^{39} - 94941q^{40} + 55161q^{42} - 445660q^{43} - 188829q^{44} - 10206q^{45} + 525804q^{46} + 82884q^{47} + 24116q^{49} - 1218884q^{50} + 64908q^{51} + 722856q^{52} - 13034q^{53} + 32805q^{54} + 127061q^{56} - 442908q^{57} - 159501q^{58} + 1810362q^{59} + 429705q^{60} - 392856q^{61} + 38394q^{63} - 1410446q^{64} - 389004q^{65} - 1053q^{66} + 384094q^{67} - 1616346q^{68} + 406005q^{70} + 225688q^{71} - 55161q^{72} + 903078q^{73} + 1185530q^{74} + 601398q^{75} - 327674q^{77} - 342792q^{78} - 559592q^{79} + 847713q^{80} - 236196q^{81} + 347634q^{82} - 879444q^{84} + 1953576q^{85} - 2302402q^{86} + 439074q^{87} + 304887q^{88} - 1770036q^{89} - 2960718q^{91} - 113064q^{92} + 361800q^{93} - 1837620q^{94} + 1160112q^{95} + 1895481q^{96} + 5732467q^{98} - 520020q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).

\(n\) \(8\) \(10\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −6.23828 + 10.8050i −0.779785 + 1.35063i 0.152280 + 0.988337i \(0.451338\pi\)
−0.932065 + 0.362290i \(0.881995\pi\)
\(3\) 13.5000 7.79423i 0.500000 0.288675i
\(4\) −45.8323 79.3839i −0.716130 1.24037i
\(5\) −175.367 101.248i −1.40294 0.809986i −0.408243 0.912873i \(-0.633859\pi\)
−0.994693 + 0.102887i \(0.967192\pi\)
\(6\) 194.490i 0.900418i
\(7\) 284.280 191.921i 0.828806 0.559536i
\(8\) 345.159 0.674138
\(9\) 121.500 210.444i 0.166667 0.288675i
\(10\) 2187.98 1263.23i 2.18798 1.26323i
\(11\) −437.884 758.438i −0.328989 0.569826i 0.653323 0.757080i \(-0.273375\pi\)
−0.982312 + 0.187254i \(0.940041\pi\)
\(12\) −1237.47 714.455i −0.716130 0.413458i
\(13\) 275.049i 0.125193i 0.998039 + 0.0625964i \(0.0199381\pi\)
−0.998039 + 0.0625964i \(0.980062\pi\)
\(14\) 300.287 + 4268.91i 0.109434 + 1.55573i
\(15\) −3156.61 −0.935291
\(16\) 780.069 1351.12i 0.190447 0.329863i
\(17\) −3799.10 + 2193.41i −0.773276 + 0.446451i −0.834042 0.551701i \(-0.813979\pi\)
0.0607662 + 0.998152i \(0.480646\pi\)
\(18\) 1515.90 + 2625.62i 0.259928 + 0.450209i
\(19\) −11697.8 6753.75i −1.70547 0.984655i −0.939992 0.341198i \(-0.889167\pi\)
−0.765482 0.643458i \(-0.777499\pi\)
\(20\) 18561.8i 2.32022i
\(21\) 2341.91 4806.68i 0.252879 0.519024i
\(22\) 10926.6 1.02616
\(23\) 6367.61 11029.0i 0.523351 0.906470i −0.476280 0.879294i \(-0.658015\pi\)
0.999631 0.0271766i \(-0.00865163\pi\)
\(24\) 4659.64 2690.25i 0.337069 0.194607i
\(25\) 12689.9 + 21979.6i 0.812154 + 1.40669i
\(26\) −2971.91 1715.83i −0.169089 0.0976235i
\(27\) 3788.00i 0.192450i
\(28\) −28264.6 13771.1i −1.28757 0.627328i
\(29\) 6262.53 0.256777 0.128388 0.991724i \(-0.459020\pi\)
0.128388 + 0.991724i \(0.459020\pi\)
\(30\) 19691.8 34107.2i 0.729326 1.26323i
\(31\) −17689.7 + 10213.2i −0.593793 + 0.342827i −0.766596 0.642130i \(-0.778051\pi\)
0.172803 + 0.984956i \(0.444718\pi\)
\(32\) 20777.7 + 35988.0i 0.634084 + 1.09827i
\(33\) −11822.9 6825.94i −0.328989 0.189942i
\(34\) 54732.5i 1.39254i
\(35\) −69285.1 + 4873.70i −1.61598 + 0.113672i
\(36\) −22274.5 −0.477420
\(37\) −7862.08 + 13617.5i −0.155215 + 0.268840i −0.933137 0.359521i \(-0.882940\pi\)
0.777923 + 0.628360i \(0.216274\pi\)
\(38\) 145949. 84263.6i 2.65981 1.53564i
\(39\) 2143.79 + 3713.16i 0.0361400 + 0.0625964i
\(40\) −60529.5 34946.7i −0.945773 0.546042i
\(41\) 69941.8i 1.01481i 0.861707 + 0.507405i \(0.169395\pi\)
−0.861707 + 0.507405i \(0.830605\pi\)
\(42\) 37326.8 + 55289.8i 0.503816 + 0.746272i
\(43\) 113322. 1.42530 0.712652 0.701517i \(-0.247494\pi\)
0.712652 + 0.701517i \(0.247494\pi\)
\(44\) −40138.5 + 69521.9i −0.471197 + 0.816138i
\(45\) −42614.2 + 24603.3i −0.467645 + 0.269995i
\(46\) 79445.9 + 137604.i 0.816202 + 1.41370i
\(47\) −40116.2 23161.1i −0.386390 0.223083i 0.294205 0.955742i \(-0.404945\pi\)
−0.680595 + 0.732660i \(0.738279\pi\)
\(48\) 24320.1i 0.219909i
\(49\) 43981.8 109119.i 0.373839 0.927494i
\(50\) −316653. −2.53322
\(51\) −34191.9 + 59222.2i −0.257759 + 0.446451i
\(52\) 21834.4 12606.1i 0.155286 0.0896543i
\(53\) −64013.2 110874.i −0.429973 0.744736i 0.566897 0.823789i \(-0.308144\pi\)
−0.996870 + 0.0790529i \(0.974810\pi\)
\(54\) 40929.4 + 23630.6i 0.259928 + 0.150070i
\(55\) 177340.i 1.06591i
\(56\) 98121.9 66243.2i 0.558730 0.377205i
\(57\) −210561. −1.13698
\(58\) −39067.4 + 67666.8i −0.200231 + 0.346810i
\(59\) 242870. 140221.i 1.18254 0.682742i 0.225942 0.974141i \(-0.427454\pi\)
0.956602 + 0.291398i \(0.0941205\pi\)
\(60\) 144675. + 250584.i 0.669789 + 1.16011i
\(61\) 84759.3 + 48935.8i 0.373420 + 0.215594i 0.674952 0.737862i \(-0.264164\pi\)
−0.301531 + 0.953456i \(0.597498\pi\)
\(62\) 254850.i 1.06932i
\(63\) −5848.55 83143.6i −0.0233898 0.332512i
\(64\) −418619. −1.59690
\(65\) 27848.2 48234.5i 0.101404 0.175638i
\(66\) 147509. 85164.3i 0.513081 0.296228i
\(67\) −87278.8 151171.i −0.290191 0.502626i 0.683663 0.729797i \(-0.260386\pi\)
−0.973855 + 0.227171i \(0.927052\pi\)
\(68\) 348243. + 201058.i 1.10753 + 0.639433i
\(69\) 198522.i 0.604314i
\(70\) 379559. 779030.i 1.10659 2.27122i
\(71\) 345712. 0.965915 0.482957 0.875644i \(-0.339563\pi\)
0.482957 + 0.875644i \(0.339563\pi\)
\(72\) 41936.8 72636.7i 0.112356 0.194607i
\(73\) −104589. + 60384.4i −0.268854 + 0.155223i −0.628367 0.777917i \(-0.716276\pi\)
0.359513 + 0.933140i \(0.382943\pi\)
\(74\) −98091.8 169900.i −0.242068 0.419274i
\(75\) 342627. + 197816.i 0.812154 + 0.468897i
\(76\) 1.23816e6i 2.82056i
\(77\) −270042. 131570.i −0.591506 0.288194i
\(78\) −53494.3 −0.112726
\(79\) −381933. + 661527.i −0.774650 + 1.34173i 0.160341 + 0.987062i \(0.448741\pi\)
−0.934991 + 0.354671i \(0.884593\pi\)
\(80\) −273597. + 157961.i −0.534369 + 0.308518i
\(81\) −29524.5 51137.9i −0.0555556 0.0962250i
\(82\) −755722. 436316.i −1.37063 0.791334i
\(83\) 859402.i 1.50301i −0.659727 0.751505i \(-0.729328\pi\)
0.659727 0.751505i \(-0.270672\pi\)
\(84\) −488908. + 34391.1i −0.824877 + 0.0580241i
\(85\) 888317. 1.44648
\(86\) −706933. + 1.22444e6i −1.11143 + 1.92506i
\(87\) 84544.2 48811.6i 0.128388 0.0741251i
\(88\) −151140. 261781.i −0.221784 0.384141i
\(89\) −155778. 89938.3i −0.220971 0.127578i 0.385429 0.922738i \(-0.374054\pi\)
−0.606400 + 0.795160i \(0.707387\pi\)
\(90\) 613930.i 0.842153i
\(91\) 52787.6 + 78190.9i 0.0700499 + 0.103761i
\(92\) −1.16737e6 −1.49915
\(93\) −159207. + 275755.i −0.197931 + 0.342827i
\(94\) 500512. 288971.i 0.602603 0.347913i
\(95\) 1.36761e6 + 2.36877e6i 1.59511 + 2.76282i
\(96\) 560997. + 323892.i 0.634084 + 0.366088i
\(97\) 340171.i 0.372720i −0.982482 0.186360i \(-0.940331\pi\)
0.982482 0.186360i \(-0.0596690\pi\)
\(98\) 904659. + 1.15594e6i 0.961184 + 1.22816i
\(99\) −212812. −0.219326
\(100\) 1.16321e6 2.01475e6i 1.16321 2.01475i
\(101\) 903587. 521686.i 0.877013 0.506344i 0.00734043 0.999973i \(-0.497663\pi\)
0.869672 + 0.493630i \(0.164330\pi\)
\(102\) −426598. 738889.i −0.401993 0.696272i
\(103\) −675522. 390013.i −0.618198 0.356917i 0.157969 0.987444i \(-0.449505\pi\)
−0.776167 + 0.630527i \(0.782839\pi\)
\(104\) 94935.5i 0.0843973i
\(105\) −897362. + 605819.i −0.775175 + 0.523329i
\(106\) 1.59733e6 1.34115
\(107\) 498844. 864024.i 0.407205 0.705301i −0.587370 0.809319i \(-0.699837\pi\)
0.994575 + 0.104018i \(0.0331700\pi\)
\(108\) −300706. + 173612.i −0.238710 + 0.137819i
\(109\) −727835. 1.26065e6i −0.562023 0.973452i −0.997320 0.0731648i \(-0.976690\pi\)
0.435297 0.900287i \(-0.356643\pi\)
\(110\) −1.91616e6 1.10630e6i −1.43964 0.831177i
\(111\) 245116.i 0.179226i
\(112\) −37549.5 533808.i −0.0267270 0.379954i
\(113\) 177612. 0.123094 0.0615469 0.998104i \(-0.480397\pi\)
0.0615469 + 0.998104i \(0.480397\pi\)
\(114\) 1.31354e6 2.27512e6i 0.886602 1.53564i
\(115\) −2.23334e6 + 1.28942e6i −1.46846 + 0.847814i
\(116\) −287026. 497144.i −0.183886 0.318499i
\(117\) 57882.4 + 33418.4i 0.0361400 + 0.0208655i
\(118\) 3.49895e6i 2.12957i
\(119\) −659049. + 1.35267e6i −0.391090 + 0.802697i
\(120\) −1.08953e6 −0.630516
\(121\) 502295. 870001.i 0.283533 0.491093i
\(122\) −1.05750e6 + 610551.i −0.582375 + 0.336234i
\(123\) 545142. + 944214.i 0.292951 + 0.507405i
\(124\) 1.62152e6 + 936184.i 0.850466 + 0.491017i
\(125\) 1.97531e6i 1.01136i
\(126\) 934853. + 455479.i 0.467338 + 0.227697i
\(127\) 924373. 0.451269 0.225635 0.974212i \(-0.427554\pi\)
0.225635 + 0.974212i \(0.427554\pi\)
\(128\) 1.28169e6 2.21995e6i 0.611158 1.05856i
\(129\) 1.52984e6 883255.i 0.712652 0.411450i
\(130\) 347450. + 601800.i 0.158147 + 0.273919i
\(131\) 837624. + 483602.i 0.372593 + 0.215117i 0.674591 0.738192i \(-0.264320\pi\)
−0.301997 + 0.953309i \(0.597653\pi\)
\(132\) 1.25139e6i 0.544092i
\(133\) −4.62165e6 + 325100.i −1.96446 + 0.138185i
\(134\) 2.17788e6 0.905148
\(135\) −383528. + 664290.i −0.155882 + 0.269995i
\(136\) −1.31129e6 + 757076.i −0.521295 + 0.300970i
\(137\) −2.35006e6 4.07043e6i −0.913940 1.58299i −0.808446 0.588570i \(-0.799691\pi\)
−0.105493 0.994420i \(-0.533642\pi\)
\(138\) 2.14504e6 + 1.23844e6i 0.816202 + 0.471235i
\(139\) 1.64306e6i 0.611798i −0.952064 0.305899i \(-0.901043\pi\)
0.952064 0.305899i \(-0.0989570\pi\)
\(140\) 3.56239e6 + 5.27674e6i 1.29825 + 1.92301i
\(141\) −722092. −0.257594
\(142\) −2.15665e6 + 3.73542e6i −0.753206 + 1.30459i
\(143\) 208607. 120439.i 0.0713381 0.0411870i
\(144\) −189557. 328322.i −0.0634822 0.109954i
\(145\) −1.09824e6 634070.i −0.360242 0.207986i
\(146\) 1.50678e6i 0.484162i
\(147\) −256742. 1.81591e6i −0.0808249 0.571665i
\(148\) 1.44135e6 0.444615
\(149\) −2.31369e6 + 4.00743e6i −0.699433 + 1.21145i 0.269230 + 0.963076i \(0.413231\pi\)
−0.968663 + 0.248378i \(0.920103\pi\)
\(150\) −4.27481e6 + 2.46806e6i −1.26661 + 0.731278i
\(151\) 2.24610e6 + 3.89036e6i 0.652377 + 1.12995i 0.982545 + 0.186028i \(0.0595614\pi\)
−0.330168 + 0.943922i \(0.607105\pi\)
\(152\) −4.03761e6 2.33112e6i −1.14972 0.663794i
\(153\) 1.06600e6i 0.297634i
\(154\) 3.10621e6 2.09704e6i 0.850490 0.574175i
\(155\) 4.13625e6 1.11074
\(156\) 196510. 340365.i 0.0517619 0.0896543i
\(157\) −4.17859e6 + 2.41251e6i −1.07977 + 0.623405i −0.930834 0.365442i \(-0.880918\pi\)
−0.148935 + 0.988847i \(0.547584\pi\)
\(158\) −4.76521e6 8.25358e6i −1.20812 2.09253i
\(159\) −1.72836e6 997866.i −0.429973 0.248245i
\(160\) 8.41480e6i 2.05440i
\(161\) −306513. 4.35741e6i −0.0734464 1.04412i
\(162\) 736728. 0.173286
\(163\) 1.69763e6 2.94038e6i 0.391994 0.678954i −0.600718 0.799461i \(-0.705119\pi\)
0.992713 + 0.120507i \(0.0384519\pi\)
\(164\) 5.55225e6 3.20559e6i 1.25874 0.726736i
\(165\) 1.38223e6 + 2.39409e6i 0.307700 + 0.532953i
\(166\) 9.28585e6 + 5.36119e6i 2.03001 + 1.17203i
\(167\) 2.04579e6i 0.439249i 0.975584 + 0.219625i \(0.0704832\pi\)
−0.975584 + 0.219625i \(0.929517\pi\)
\(168\) 808331. 1.65907e6i 0.170475 0.349894i
\(169\) 4.75116e6 0.984327
\(170\) −5.54157e6 + 9.59828e6i −1.12794 + 1.95365i
\(171\) −2.84258e6 + 1.64116e6i −0.568491 + 0.328218i
\(172\) −5.19379e6 8.99591e6i −1.02070 1.76791i
\(173\) −272758. 157477.i −0.0526792 0.0304144i 0.473429 0.880832i \(-0.343016\pi\)
−0.526108 + 0.850418i \(0.676349\pi\)
\(174\) 1.21800e6i 0.231207i
\(175\) 7.82583e6 + 3.81290e6i 1.46021 + 0.711445i
\(176\) −1.36632e6 −0.250619
\(177\) 2.18583e6 3.78596e6i 0.394181 0.682742i
\(178\) 1.94357e6 1.12212e6i 0.344620 0.198966i
\(179\) 2.01204e6 + 3.48495e6i 0.350814 + 0.607627i 0.986392 0.164409i \(-0.0525717\pi\)
−0.635579 + 0.772036i \(0.719238\pi\)
\(180\) 3.90621e6 + 2.25525e6i 0.669789 + 0.386703i
\(181\) 1.53820e6i 0.259405i −0.991553 0.129703i \(-0.958598\pi\)
0.991553 0.129703i \(-0.0414022\pi\)
\(182\) −1.17416e6 + 82593.5i −0.194766 + 0.0137004i
\(183\) 1.52567e6 0.248947
\(184\) 2.19784e6 3.80677e6i 0.352811 0.611086i
\(185\) 2.75750e6 1.59204e6i 0.435512 0.251443i
\(186\) −1.98636e6 3.44047e6i −0.308687 0.534662i
\(187\) 3.32714e6 + 1.92092e6i 0.508798 + 0.293755i
\(188\) 4.24611e6i 0.639024i
\(189\) −726995. 1.07685e6i −0.107683 0.159504i
\(190\) −3.41262e7 −4.97538
\(191\) −2.13865e6 + 3.70425e6i −0.306931 + 0.531619i −0.977689 0.210056i \(-0.932635\pi\)
0.670759 + 0.741676i \(0.265969\pi\)
\(192\) −5.65135e6 + 3.26281e6i −0.798452 + 0.460986i
\(193\) 3.22312e6 + 5.58261e6i 0.448337 + 0.776543i 0.998278 0.0586609i \(-0.0186831\pi\)
−0.549941 + 0.835204i \(0.685350\pi\)
\(194\) 3.67556e6 + 2.12208e6i 0.503406 + 0.290641i
\(195\) 868220.i 0.117092i
\(196\) −1.06780e7 + 1.50972e6i −1.41815 + 0.200506i
\(197\) −2.73215e6 −0.357359 −0.178680 0.983907i \(-0.557183\pi\)
−0.178680 + 0.983907i \(0.557183\pi\)
\(198\) 1.32758e6 2.29943e6i 0.171027 0.296228i
\(199\) 517231. 298623.i 0.0656334 0.0378935i −0.466824 0.884350i \(-0.654602\pi\)
0.532458 + 0.846457i \(0.321269\pi\)
\(200\) 4.38003e6 + 7.58644e6i 0.547504 + 0.948305i
\(201\) −2.35653e6 1.36054e6i −0.290191 0.167542i
\(202\) 1.30177e7i 1.57936i
\(203\) 1.78032e6 1.20191e6i 0.212818 0.143676i
\(204\) 6.26838e6 0.738354
\(205\) 7.08148e6 1.22655e7i 0.821982 1.42372i
\(206\) 8.42819e6 4.86602e6i 0.964123 0.556637i
\(207\) −1.54733e6 2.68005e6i −0.174450 0.302157i
\(208\) 371623. + 214557.i 0.0412965 + 0.0238425i
\(209\) 1.18294e7i 1.29576i
\(210\) −947888. 1.34753e7i −0.102353 1.45506i
\(211\) −3.67602e6 −0.391319 −0.195659 0.980672i \(-0.562685\pi\)
−0.195659 + 0.980672i \(0.562685\pi\)
\(212\) −5.86774e6 + 1.01632e7i −0.615833 + 1.06665i
\(213\) 4.66711e6 2.69455e6i 0.482957 0.278836i
\(214\) 6.22386e6 + 1.07800e7i 0.635066 + 1.09997i
\(215\) −1.98729e7 1.14736e7i −1.99961 1.15448i
\(216\) 1.30746e6i 0.129738i
\(217\) −3.06872e6 + 6.29842e6i −0.300316 + 0.616386i
\(218\) 1.81618e7 1.75303
\(219\) −941299. + 1.63038e6i −0.0896180 + 0.155223i
\(220\) 1.40779e7 8.12790e6i 1.32212 0.763326i
\(221\) −603295. 1.04494e6i −0.0558924 0.0968086i
\(222\) −2.64848e6 1.52910e6i −0.242068 0.139758i
\(223\) 1.43225e7i 1.29153i −0.763535 0.645766i \(-0.776538\pi\)
0.763535 0.645766i \(-0.223462\pi\)
\(224\) 1.28135e7 + 6.24301e6i 1.14005 + 0.555456i
\(225\) 6.16729e6 0.541436
\(226\) −1.10799e6 + 1.91910e6i −0.0959867 + 0.166254i
\(227\) −2.62502e6 + 1.51555e6i −0.224416 + 0.129567i −0.607994 0.793942i \(-0.708025\pi\)
0.383577 + 0.923509i \(0.374692\pi\)
\(228\) 9.65050e6 + 1.67152e7i 0.814227 + 1.41028i
\(229\) −5.42194e6 3.13036e6i −0.451490 0.260668i 0.256969 0.966420i \(-0.417276\pi\)
−0.708459 + 0.705752i \(0.750609\pi\)
\(230\) 3.21750e7i 2.64445i
\(231\) −4.67105e6 + 328575.i −0.378947 + 0.0266562i
\(232\) 2.16157e6 0.173103
\(233\) 5.92360e6 1.02600e7i 0.468293 0.811107i −0.531050 0.847340i \(-0.678203\pi\)
0.999343 + 0.0362330i \(0.0115359\pi\)
\(234\) −722173. + 416947.i −0.0563629 + 0.0325412i
\(235\) 4.69004e6 + 8.12339e6i 0.361387 + 0.625941i
\(236\) −2.22626e7 1.28533e7i −1.69371 0.977864i
\(237\) 1.19075e7i 0.894489i
\(238\) −1.05043e7 1.55594e7i −0.779178 1.15415i
\(239\) 4.29229e6 0.314410 0.157205 0.987566i \(-0.449752\pi\)
0.157205 + 0.987566i \(0.449752\pi\)
\(240\) −2.46237e6 + 4.26495e6i −0.178123 + 0.308518i
\(241\) 1.37366e7 7.93085e6i 0.981362 0.566589i 0.0786807 0.996900i \(-0.474929\pi\)
0.902681 + 0.430310i \(0.141596\pi\)
\(242\) 6.26692e6 + 1.08546e7i 0.442189 + 0.765894i
\(243\) −797162. 460241.i −0.0555556 0.0320750i
\(244\) 8.97136e6i 0.617574i
\(245\) −1.87610e7 + 1.46827e7i −1.27573 + 0.998410i
\(246\) −1.36030e7 −0.913754
\(247\) 1.85761e6 3.21747e6i 0.123272 0.213513i
\(248\) −6.10575e6 + 3.52516e6i −0.400299 + 0.231113i
\(249\) −6.69838e6 1.16019e7i −0.433882 0.751505i
\(250\) 2.13433e7 + 1.23226e7i 1.36597 + 0.788644i
\(251\) 7.11752e6i 0.450099i 0.974347 + 0.225049i \(0.0722543\pi\)
−0.974347 + 0.225049i \(0.927746\pi\)
\(252\) −6.33220e6 + 4.27494e6i −0.395688 + 0.267134i
\(253\) −1.11531e7 −0.688707
\(254\) −5.76650e6 + 9.98786e6i −0.351893 + 0.609497i
\(255\) 1.19923e7 6.92374e6i 0.723238 0.417562i
\(256\) 2.59529e6 + 4.49518e6i 0.154692 + 0.267934i
\(257\) −6.24715e6 3.60680e6i −0.368030 0.212482i 0.304568 0.952491i \(-0.401488\pi\)
−0.672597 + 0.740009i \(0.734821\pi\)
\(258\) 2.20400e7i 1.28337i
\(259\) 378451. + 5.38010e6i 0.0217826 + 0.309664i
\(260\) −5.10538e6 −0.290475
\(261\) 760898. 1.31791e6i 0.0427962 0.0741251i
\(262\) −1.04507e7 + 6.03370e6i −0.581086 + 0.335490i
\(263\) 8.28046e6 + 1.43422e7i 0.455184 + 0.788402i 0.998699 0.0509974i \(-0.0162400\pi\)
−0.543514 + 0.839400i \(0.682907\pi\)
\(264\) −4.08077e6 2.35603e6i −0.221784 0.128047i
\(265\) 2.59249e7i 1.39309i
\(266\) 2.53185e7 5.19651e7i 1.34522 2.76100i
\(267\) −2.80400e6 −0.147314
\(268\) −8.00038e6 + 1.38571e7i −0.415629 + 0.719891i
\(269\) 4.73497e6 2.73374e6i 0.243254 0.140443i −0.373417 0.927663i \(-0.621814\pi\)
0.616671 + 0.787221i \(0.288481\pi\)
\(270\) −4.78511e6 8.28805e6i −0.243109 0.421077i
\(271\) −1.61594e7 9.32961e6i −0.811925 0.468765i 0.0356988 0.999363i \(-0.488634\pi\)
−0.847624 + 0.530597i \(0.821968\pi\)
\(272\) 6.84405e6i 0.340100i
\(273\) 1.32207e6 + 644139.i 0.0649780 + 0.0316586i
\(274\) 5.86414e7 2.85071
\(275\) 1.11134e7 1.92490e7i 0.534379 0.925572i
\(276\) −1.57595e7 + 9.09874e6i −0.749574 + 0.432767i
\(277\) 3.81751e6 + 6.61212e6i 0.179614 + 0.311101i 0.941748 0.336318i \(-0.109182\pi\)
−0.762134 + 0.647419i \(0.775848\pi\)
\(278\) 1.77532e7 + 1.02498e7i 0.826311 + 0.477071i
\(279\) 4.96359e6i 0.228551i
\(280\) −2.39144e7 + 1.68220e6i −1.08939 + 0.0766309i
\(281\) −2.86272e7 −1.29021 −0.645103 0.764095i \(-0.723186\pi\)
−0.645103 + 0.764095i \(0.723186\pi\)
\(282\) 4.50461e6 7.80221e6i 0.200868 0.347913i
\(283\) −1.84385e7 + 1.06455e7i −0.813518 + 0.469685i −0.848176 0.529714i \(-0.822299\pi\)
0.0346580 + 0.999399i \(0.488966\pi\)
\(284\) −1.58448e7 2.74439e7i −0.691720 1.19809i
\(285\) 3.69255e7 + 2.13189e7i 1.59511 + 0.920939i
\(286\) 3.00534e6i 0.128468i
\(287\) 1.34233e7 + 1.98831e7i 0.567823 + 0.841081i
\(288\) 1.00979e7 0.422723
\(289\) −2.44666e6 + 4.23774e6i −0.101363 + 0.175566i
\(290\) 1.37023e7 7.91102e6i 0.561822 0.324368i
\(291\) −2.65137e6 4.59231e6i −0.107595 0.186360i
\(292\) 9.58709e6 + 5.53511e6i 0.385069 + 0.222319i
\(293\) 1.72102e7i 0.684199i 0.939664 + 0.342100i \(0.111138\pi\)
−0.939664 + 0.342100i \(0.888862\pi\)
\(294\) 2.12225e7 + 8.55403e6i 0.835132 + 0.336611i
\(295\) −5.67885e7 −2.21205
\(296\) −2.71367e6 + 4.70021e6i −0.104636 + 0.181235i
\(297\) −2.87296e6 + 1.65870e6i −0.109663 + 0.0633139i
\(298\) −2.88669e7 4.99989e7i −1.09082 1.88935i
\(299\) 3.03352e6 + 1.75140e6i 0.113484 + 0.0655198i
\(300\) 3.62654e7i 1.34316i
\(301\) 3.22151e7 2.17488e7i 1.18130 0.797509i
\(302\) −5.60472e7 −2.03485
\(303\) 8.13228e6 1.40855e7i 0.292338 0.506344i
\(304\) −1.82502e7 + 1.05368e7i −0.649603 + 0.375048i
\(305\) −9.90933e6 1.71635e7i −0.349257 0.604930i
\(306\) −1.15181e7 6.65000e6i −0.401993 0.232091i
\(307\) 4.11253e7i 1.42133i −0.703533 0.710663i \(-0.748395\pi\)
0.703533 0.710663i \(-0.251605\pi\)
\(308\) 1.93211e6 + 2.74671e7i 0.0661272 + 0.940072i
\(309\) −1.21594e7 −0.412132
\(310\) −2.58031e7 + 4.46923e7i −0.866138 + 1.50019i
\(311\) 9.88085e6 5.70471e6i 0.328483 0.189650i −0.326684 0.945133i \(-0.605931\pi\)
0.655167 + 0.755484i \(0.272598\pi\)
\(312\) 739949. + 1.28163e6i 0.0243634 + 0.0421986i
\(313\) −930200. 537051.i −0.0303350 0.0175139i 0.484756 0.874650i \(-0.338908\pi\)
−0.515091 + 0.857136i \(0.672242\pi\)
\(314\) 6.01997e7i 1.94449i
\(315\) −7.39249e6 + 1.51728e7i −0.236515 + 0.485438i
\(316\) 7.00194e7 2.21900
\(317\) 9.89978e6 1.71469e7i 0.310776 0.538280i −0.667754 0.744382i \(-0.732744\pi\)
0.978531 + 0.206101i \(0.0660777\pi\)
\(318\) 2.15639e7 1.24499e7i 0.670574 0.387156i
\(319\) −2.74226e6 4.74974e6i −0.0844768 0.146318i
\(320\) 7.34119e7 + 4.23844e7i 2.24035 + 1.29347i
\(321\) 1.55524e7i 0.470200i
\(322\) 4.89940e7 + 2.38709e7i 1.46749 + 0.714992i
\(323\) 5.92551e7 1.75840
\(324\) −2.70635e6 + 4.68754e6i −0.0795699 + 0.137819i
\(325\) −6.04545e6 + 3.49034e6i −0.176108 + 0.101676i
\(326\) 2.11806e7 + 3.66858e7i 0.611343 + 1.05888i
\(327\) −1.96516e7 1.13458e7i −0.562023 0.324484i
\(328\) 2.41410e7i 0.684123i
\(329\) −1.58494e7 + 1.11489e6i −0.445065 + 0.0313071i
\(330\) −3.44909e7 −0.959761
\(331\) 9.56610e6 1.65690e7i 0.263785 0.456890i −0.703459 0.710736i \(-0.748362\pi\)
0.967245 + 0.253846i \(0.0816956\pi\)
\(332\) −6.82226e7 + 3.93884e7i −1.86429 + 1.07635i
\(333\) 1.91049e6 + 3.30906e6i 0.0517382 + 0.0896132i
\(334\) −2.21048e7 1.27622e7i −0.593262 0.342520i
\(335\) 3.53473e7i 0.940204i
\(336\) −4.66754e6 6.91374e6i −0.123047 0.182262i
\(337\) 6.12984e7 1.60162 0.800810 0.598919i \(-0.204403\pi\)
0.800810 + 0.598919i \(0.204403\pi\)
\(338\) −2.96391e7 + 5.13363e7i −0.767563 + 1.32946i
\(339\) 2.39776e6 1.38435e6i 0.0615469 0.0355341i
\(340\) −4.07136e7 7.05180e7i −1.03586 1.79417i
\(341\) 1.54921e7 + 8.94435e6i 0.390703 + 0.225572i
\(342\) 4.09521e7i 1.02376i
\(343\) −8.43899e6 3.94613e7i −0.209126 0.977889i
\(344\) 3.91140e7 0.960853
\(345\) −2.01000e7 + 3.48143e7i −0.489485 + 0.847814i
\(346\) 3.40308e6 1.96477e6i 0.0821569 0.0474333i
\(347\) −3.87907e7 6.71875e7i −0.928409 1.60805i −0.785985 0.618246i \(-0.787844\pi\)
−0.142424 0.989806i \(-0.545490\pi\)
\(348\) −7.74971e6 4.47430e6i −0.183886 0.106166i
\(349\) 3.32443e7i 0.782061i 0.920378 + 0.391031i \(0.127881\pi\)
−0.920378 + 0.391031i \(0.872119\pi\)
\(350\) −9.00182e7 + 6.07723e7i −2.09955 + 1.41743i
\(351\) 1.04188e6 0.0240934
\(352\) 1.81964e7 3.15171e7i 0.417213 0.722634i
\(353\) −1.68383e7 + 9.72160e6i −0.382802 + 0.221011i −0.679037 0.734104i \(-0.737602\pi\)
0.296235 + 0.955115i \(0.404269\pi\)
\(354\) 2.72716e7 + 4.72358e7i 0.614754 + 1.06478i
\(355\) −6.06264e7 3.50027e7i −1.35512 0.782377i
\(356\) 1.64883e7i 0.365448i
\(357\) 1.64587e6 + 2.33979e7i 0.0361735 + 0.514246i
\(358\) −5.02066e7 −1.09424
\(359\) −1.27237e7 + 2.20381e7i −0.274999 + 0.476311i −0.970135 0.242567i \(-0.922011\pi\)
0.695136 + 0.718878i \(0.255344\pi\)
\(360\) −1.47087e7 + 8.49205e6i −0.315258 + 0.182014i
\(361\) 6.77034e7 + 1.17266e8i 1.43909 + 2.49258i
\(362\) 1.66203e7 + 9.59575e6i 0.350360 + 0.202280i
\(363\) 1.56600e7i 0.327395i
\(364\) 3.78772e6 7.77415e6i 0.0785370 0.161194i
\(365\) 2.44552e7 0.502914
\(366\) −9.51754e6 + 1.64849e7i −0.194125 + 0.336234i
\(367\) −7.02719e6 + 4.05715e6i −0.142162 + 0.0820773i −0.569394 0.822065i \(-0.692822\pi\)
0.427232 + 0.904142i \(0.359489\pi\)
\(368\) −9.93435e6 1.72068e7i −0.199341 0.345268i
\(369\) 1.47188e7 + 8.49793e6i 0.292951 + 0.169135i
\(370\) 3.97265e7i 0.784287i
\(371\) −3.94767e7 1.92339e7i −0.773071 0.376656i
\(372\) 2.91873e7 0.566977
\(373\) 3.60324e7 6.24099e7i 0.694330 1.20262i −0.276076 0.961136i \(-0.589034\pi\)
0.970406 0.241480i \(-0.0776327\pi\)
\(374\) −4.15112e7 + 2.39665e7i −0.793507 + 0.458131i
\(375\) −1.53960e7 2.66667e7i −0.291955 0.505680i
\(376\) −1.38465e7 7.99426e6i −0.260481 0.150389i
\(377\) 1.72250e6i 0.0321466i
\(378\) 1.61706e7 1.13749e6i 0.299400 0.0210606i
\(379\) 4.53715e7 0.833423 0.416711 0.909039i \(-0.363183\pi\)
0.416711 + 0.909039i \(0.363183\pi\)
\(380\) 1.25361e8 2.17132e8i 2.28462 3.95707i
\(381\) 1.24790e7 7.20477e6i 0.225635 0.130270i
\(382\) −2.66830e7 4.62164e7i −0.478680 0.829098i
\(383\) 6.55862e7 + 3.78662e7i 1.16739 + 0.673994i 0.953064 0.302768i \(-0.0979108\pi\)
0.214327 + 0.976762i \(0.431244\pi\)
\(384\) 3.99592e7i 0.705704i
\(385\) 3.40352e7 + 5.04143e7i 0.596412 + 0.883429i
\(386\) −8.04269e7 −1.39843
\(387\) 1.37686e7 2.38479e7i 0.237551 0.411450i
\(388\) −2.70041e7 + 1.55908e7i −0.462311 + 0.266916i
\(389\) −4.41471e6 7.64649e6i −0.0749986 0.129901i 0.826087 0.563542i \(-0.190562\pi\)
−0.901086 + 0.433641i \(0.857229\pi\)
\(390\) 9.38114e6 + 5.41620e6i 0.158147 + 0.0913064i
\(391\) 5.58672e7i 0.934602i
\(392\) 1.51807e7 3.76633e7i 0.252019 0.625259i
\(393\) 1.50772e7 0.248396
\(394\) 1.70439e7 2.95209e7i 0.278664 0.482659i
\(395\) 1.33957e8 7.73400e7i 2.17357 1.25491i
\(396\) 9.75365e6 + 1.68938e7i 0.157066 + 0.272046i
\(397\) −3.45140e7 1.99267e7i −0.551599 0.318466i 0.198167 0.980168i \(-0.436501\pi\)
−0.749767 + 0.661702i \(0.769834\pi\)
\(398\) 7.45158e6i 0.118195i
\(399\) −5.98584e7 + 4.04111e7i −0.942338 + 0.636182i
\(400\) 3.95960e7 0.618687
\(401\) 1.65566e6 2.86769e6i 0.0256767 0.0444733i −0.852902 0.522072i \(-0.825159\pi\)
0.878578 + 0.477599i \(0.158493\pi\)
\(402\) 2.94014e7 1.69749e7i 0.452574 0.261294i
\(403\) −2.80911e6 4.86553e6i −0.0429194 0.0743386i
\(404\) −8.28269e7 4.78202e7i −1.25611 0.725215i
\(405\) 1.19572e7i 0.179997i
\(406\) 1.88056e6 + 2.67342e7i 0.0281001 + 0.399475i
\(407\) 1.37707e7 0.204255
\(408\) −1.18016e7 + 2.04411e7i −0.173765 + 0.300970i
\(409\) −8.98031e7 + 5.18478e7i −1.31257 + 0.757811i −0.982521 0.186154i \(-0.940398\pi\)
−0.330046 + 0.943965i \(0.607064\pi\)
\(410\) 8.83525e7 + 1.53031e8i 1.28194 + 2.22038i
\(411\) −6.34517e7 3.66338e7i −0.913940 0.527663i
\(412\) 7.15007e7i 1.02239i
\(413\) 4.21318e7 8.64738e7i 0.598081 1.22754i
\(414\) 3.86107e7 0.544135
\(415\) −8.70129e7 + 1.50711e8i −1.21742 + 2.10863i
\(416\) −9.89844e6 + 5.71487e6i −0.137495 + 0.0793827i
\(417\) −1.28064e7 2.21813e7i −0.176611 0.305899i
\(418\) −1.27817e8 7.37954e7i −1.75009 1.01042i
\(419\) 2.42723e7i 0.329965i −0.986296 0.164983i \(-0.947243\pi\)
0.986296 0.164983i \(-0.0527568\pi\)
\(420\) 8.92204e7 + 4.34700e7i 1.20425 + 0.586734i
\(421\) −8.03195e7 −1.07640 −0.538201 0.842816i \(-0.680896\pi\)
−0.538201 + 0.842816i \(0.680896\pi\)
\(422\) 2.29321e7 3.97195e7i 0.305145 0.528526i
\(423\) −9.74824e6 + 5.62815e6i −0.128797 + 0.0743609i
\(424\) −2.20947e7 3.82692e7i −0.289862 0.502055i
\(425\) −9.64205e7 5.56684e7i −1.25604 0.725174i
\(426\) 6.72376e7i 0.869727i
\(427\) 3.34872e7 2.35558e6i 0.430126 0.0302562i
\(428\) −9.14527e7 −1.16645
\(429\) 1.87747e6 3.25186e6i 0.0237794 0.0411870i
\(430\) 2.47945e8 1.43151e8i 3.11854 1.80049i
\(431\) 2.93452e7 + 5.08273e7i 0.366526 + 0.634841i 0.989020 0.147783i \(-0.0472138\pi\)
−0.622494 + 0.782625i \(0.713880\pi\)
\(432\) −5.11803e6 2.95490e6i −0.0634822 0.0366514i
\(433\) 1.51707e8i 1.86871i −0.356344 0.934355i \(-0.615977\pi\)
0.356344 0.934355i \(-0.384023\pi\)
\(434\) −4.89110e7 7.24489e7i −0.598326 0.886263i
\(435\) −1.97684e7 −0.240161
\(436\) −6.67167e7 + 1.15557e8i −0.804962 + 1.39423i
\(437\) −1.48975e8 + 8.60105e7i −1.78512 + 1.03064i
\(438\) −1.17442e7 2.03415e7i −0.139766 0.242081i
\(439\) 1.05336e8 + 6.08155e7i 1.24504 + 0.718821i 0.970115 0.242646i \(-0.0780152\pi\)
0.274920 + 0.961467i \(0.411349\pi\)
\(440\) 6.12105e7i 0.718568i
\(441\) −1.76196e7 2.25136e7i −0.205438 0.262500i
\(442\) 1.50541e7 0.174336
\(443\) −4.63310e7 + 8.02476e7i −0.532918 + 0.923041i 0.466343 + 0.884604i \(0.345571\pi\)
−0.999261 + 0.0384371i \(0.987762\pi\)
\(444\) 1.94582e7 1.12342e7i 0.222307 0.128349i
\(445\) 1.82122e7 + 3.15444e7i 0.206672 + 0.357967i
\(446\) 1.54755e8 + 8.93480e7i 1.74438 + 1.00712i
\(447\) 7.21337e7i 0.807636i
\(448\) −1.19005e8 + 8.03417e7i −1.32352 + 0.893525i
\(449\) −2.40772e7 −0.265991 −0.132996 0.991117i \(-0.542460\pi\)
−0.132996 + 0.991117i \(0.542460\pi\)
\(450\) −3.84733e7 + 6.66377e7i −0.422204 + 0.731278i
\(451\) 5.30465e7 3.06264e7i 0.578265 0.333862i
\(452\) −8.14035e6 1.40995e7i −0.0881511 0.152682i
\(453\) 6.06447e7 + 3.50133e7i 0.652377 + 0.376650i
\(454\) 3.78178e7i 0.404137i
\(455\) −1.34051e6 1.90568e7i −0.0142310 0.202309i
\(456\) −7.26770e7 −0.766483
\(457\) 3.25397e7 5.63605e7i 0.340930 0.590509i −0.643675 0.765299i \(-0.722591\pi\)
0.984606 + 0.174790i \(0.0559247\pi\)
\(458\) 6.76471e7 3.90561e7i 0.704130 0.406530i
\(459\) 8.30864e6 + 1.43910e7i 0.0859195 + 0.148817i
\(460\) 2.04718e8 + 1.18194e8i 2.10321 + 1.21429i
\(461\) 1.22022e8i 1.24548i −0.782429 0.622740i \(-0.786020\pi\)
0.782429 0.622740i \(-0.213980\pi\)
\(462\) 2.55891e7 5.25206e7i 0.259495 0.532603i
\(463\) 2.62985e7 0.264965 0.132482 0.991185i \(-0.457705\pi\)
0.132482 + 0.991185i \(0.457705\pi\)
\(464\) 4.88521e6 8.46143e6i 0.0489023 0.0847012i
\(465\) 5.58394e7 3.22389e7i 0.555369 0.320643i
\(466\) 7.39061e7 + 1.28009e8i 0.730336 + 1.26498i
\(467\) 5.31512e7 + 3.06869e7i 0.521870 + 0.301302i 0.737699 0.675129i \(-0.235912\pi\)
−0.215829 + 0.976431i \(0.569245\pi\)
\(468\) 6.12657e6i 0.0597695i
\(469\) −5.38246e7 2.62244e7i −0.521750 0.254207i
\(470\) −1.17031e8 −1.12722
\(471\) −3.76073e7 + 6.51378e7i −0.359923 + 0.623405i
\(472\) 8.38286e7 4.83985e7i 0.797198 0.460263i
\(473\) −4.96218e7 8.59475e7i −0.468909 0.812175i
\(474\) −1.28661e8 7.42822e7i −1.20812 0.697509i
\(475\) 3.42818e8i 3.19877i
\(476\) 1.37586e8 9.67818e6i 1.27571 0.0897373i
\(477\) −3.11104e7 −0.286649
\(478\) −2.67765e7 + 4.63783e7i −0.245172 + 0.424650i
\(479\) −1.67375e8 + 9.66342e7i −1.52295 + 0.879274i −0.523315 + 0.852139i \(0.675305\pi\)
−0.999632 + 0.0271349i \(0.991362\pi\)
\(480\) −6.55869e7 1.13600e8i −0.593053 1.02720i
\(481\) −3.74548e6 2.16246e6i −0.0336568 0.0194317i
\(482\) 1.97899e8i 1.76727i
\(483\) −3.81006e7 5.64361e7i −0.338135 0.500859i
\(484\) −9.20854e7 −0.812184
\(485\) −3.44417e7 + 5.96548e7i −0.301898 + 0.522902i
\(486\) 9.94583e6 5.74223e6i 0.0866428 0.0500232i
\(487\) −741867. 1.28495e6i −0.00642302 0.0111250i 0.862796 0.505552i \(-0.168711\pi\)
−0.869219 + 0.494427i \(0.835378\pi\)
\(488\) 2.92554e7 + 1.68906e7i 0.251737 + 0.145340i
\(489\) 5.29268e7i 0.452636i
\(490\) −4.16108e7 2.94308e8i −0.353686 2.50158i
\(491\) 1.33332e8 1.12639 0.563195 0.826324i \(-0.309572\pi\)
0.563195 + 0.826324i \(0.309572\pi\)
\(492\) 4.99702e7 8.65510e7i 0.419581 0.726736i
\(493\) −2.37920e7 + 1.37363e7i −0.198559 + 0.114638i
\(494\) 2.31766e7 + 4.01430e7i 0.192251 + 0.332988i
\(495\) 3.73202e7 + 2.15468e7i 0.307700 + 0.177651i
\(496\) 3.18678e7i 0.261161i
\(497\) 9.82790e7 6.63493e7i 0.800556 0.540464i
\(498\) 1.67145e8 1.35334
\(499\) −7.54918e7 + 1.30756e8i −0.607573 + 1.05235i 0.384066 + 0.923306i \(0.374523\pi\)
−0.991639 + 0.129042i \(0.958810\pi\)
\(500\) −1.56808e8 + 9.05331e7i −1.25446 + 0.724265i
\(501\) 1.59453e7 + 2.76181e7i 0.126800 + 0.219625i
\(502\) −7.69050e7 4.44011e7i −0.607915 0.350980i
\(503\) 9.92575e7i 0.779937i 0.920828 + 0.389968i \(0.127514\pi\)
−0.920828 + 0.389968i \(0.872486\pi\)
\(504\) −2.01868e6 2.86977e7i −0.0157680 0.224159i
\(505\) −2.11279e8 −1.64052
\(506\) 6.95762e7 1.20510e8i 0.537043 0.930186i
\(507\) 6.41406e7 3.70316e7i 0.492163 0.284151i
\(508\) −4.23661e7 7.33803e7i −0.323167 0.559742i
\(509\) 1.07059e8 + 6.18103e7i 0.811835 + 0.468713i 0.847593 0.530647i \(-0.178051\pi\)
−0.0357576 + 0.999360i \(0.511384\pi\)
\(510\) 1.72769e8i 1.30243i
\(511\) −1.81435e7 + 3.72389e7i −0.135975 + 0.279083i
\(512\) 9.92957e7 0.739811
\(513\) −2.55832e7 + 4.43114e7i −0.189497 + 0.328218i
\(514\) 7.79430e7 4.50004e7i 0.573968 0.331381i
\(515\) 7.89762e7 + 1.36791e8i 0.578195 + 1.00146i
\(516\) −1.40232e8 8.09632e7i −1.02070 0.589303i
\(517\) 4.05675e7i 0.293567i
\(518\) −6.04929e7 2.94734e7i −0.435226 0.212051i
\(519\) −4.90965e6 −0.0351195
\(520\) 9.61205e6 1.66486e7i 0.0683606 0.118404i
\(521\) 1.41733e8 8.18296e7i 1.00221 0.578625i 0.0933071 0.995637i \(-0.470256\pi\)
0.908901 + 0.417012i \(0.136923\pi\)
\(522\) 9.49339e6 + 1.64430e7i 0.0667436 + 0.115603i
\(523\) 2.21384e8 + 1.27816e8i 1.54754 + 0.893471i 0.998329 + 0.0577847i \(0.0184037\pi\)
0.549208 + 0.835686i \(0.314930\pi\)
\(524\) 8.86584e7i 0.616206i
\(525\) 1.35367e8 9.52211e6i 0.935483 0.0658044i
\(526\) −2.06623e8 −1.41978
\(527\) 4.48033e7 7.76016e7i 0.306111 0.530199i
\(528\) −1.84453e7 + 1.06494e7i −0.125310 + 0.0723475i
\(529\) −7.07498e6 1.22542e7i −0.0477924 0.0827788i
\(530\) −2.80119e8 1.61727e8i −1.88154 1.08631i
\(531\) 6.81474e7i 0.455161i
\(532\) 2.37629e8 + 3.51985e8i 1.57821 + 2.33770i
\(533\) −1.92374e7 −0.127047
\(534\) 1.74921e7 3.02973e7i 0.114873 0.198966i
\(535\) −1.74962e8 + 1.01014e8i −1.14257 + 0.659661i
\(536\) −3.01251e7 5.21781e7i −0.195629 0.338840i
\(537\) 5.43250e7 + 3.13645e7i 0.350814 + 0.202542i
\(538\) 6.82152e7i 0.438061i
\(539\) −1.02019e8 + 1.44239e7i −0.651498 + 0.0921122i
\(540\) 7.03118e7 0.446526
\(541\) 1.21035e8 2.09639e8i 0.764398 1.32398i −0.176166 0.984361i \(-0.556369\pi\)
0.940564 0.339616i \(-0.110297\pi\)
\(542\) 2.01613e8 1.16401e8i 1.26625 0.731072i
\(543\) −1.19891e7 2.07658e7i −0.0748838 0.129703i
\(544\) −1.57873e8 9.11480e7i −0.980643 0.566175i
\(545\) 2.94768e8i 1.82092i
\(546\) −1.52074e7 + 1.02667e7i −0.0934279 + 0.0630742i
\(547\) −3.05715e7 −0.186790 −0.0933952 0.995629i \(-0.529772\pi\)
−0.0933952 + 0.995629i \(0.529772\pi\)
\(548\) −2.15417e8 + 3.73114e8i −1.30900 + 2.26725i
\(549\) 2.05965e7 1.18914e7i 0.124473 0.0718648i
\(550\) 1.38657e8 + 2.40161e8i 0.833402 + 1.44349i
\(551\) −7.32581e7 4.22956e7i −0.437926 0.252837i
\(552\) 6.85218e7i 0.407391i
\(553\) 1.83848e7 + 2.61360e8i 0.108713 + 1.54548i
\(554\) −9.52587e7 −0.560242
\(555\) 2.48175e7 4.29852e7i 0.145171 0.251443i
\(556\) −1.30432e8 + 7.53050e7i −0.758857 + 0.438126i
\(557\) −1.16542e8 2.01856e8i −0.674396 1.16809i −0.976645 0.214860i \(-0.931071\pi\)
0.302249 0.953229i \(-0.402263\pi\)
\(558\) −5.36317e7 3.09643e7i −0.308687 0.178221i
\(559\) 3.11690e7i 0.178438i
\(560\) −4.74622e7 + 9.74142e7i −0.270261 + 0.554700i
\(561\) 5.98884e7 0.339199
\(562\) 1.78584e8 3.09317e8i 1.00608 1.74259i
\(563\) 1.95271e8 1.12740e8i 1.09424 0.631758i 0.159536 0.987192i \(-0.449000\pi\)
0.934702 + 0.355434i \(0.115667\pi\)
\(564\) 3.30951e7 + 5.73224e7i 0.184470 + 0.319512i
\(565\) −3.11472e7 1.79829e7i −0.172693 0.0997042i
\(566\) 2.65638e8i 1.46501i
\(567\) −1.82077e7 8.87115e6i −0.0998862 0.0486666i
\(568\) 1.19325e8 0.651160
\(569\) −1.07390e8 + 1.86004e8i −0.582943 + 1.00969i 0.412186 + 0.911100i \(0.364765\pi\)
−0.995128 + 0.0985864i \(0.968568\pi\)
\(570\) −4.60703e8 + 2.65987e8i −2.48769 + 1.43627i
\(571\) −1.71362e8 2.96807e8i −0.920460 1.59428i −0.798704 0.601724i \(-0.794481\pi\)
−0.121757 0.992560i \(-0.538853\pi\)
\(572\) −1.91219e7 1.10400e7i −0.102175 0.0589905i
\(573\) 6.66766e7i 0.354413i
\(574\) −2.98575e8 + 2.10026e7i −1.57877 + 0.111055i
\(575\) 3.23217e8 1.70017
\(576\) −5.08622e7 + 8.80959e7i −0.266151 + 0.460986i
\(577\) 2.42646e8 1.40092e8i 1.26312 0.729263i 0.289444 0.957195i \(-0.406530\pi\)
0.973677 + 0.227931i \(0.0731962\pi\)
\(578\) −3.05259e7 5.28724e7i −0.158083 0.273807i
\(579\) 8.70243e7 + 5.02435e7i 0.448337 + 0.258848i
\(580\) 1.16244e8i 0.595779i
\(581\) −1.64937e8 2.44311e8i −0.840989 1.24570i
\(582\) 6.61600e7 0.335604
\(583\) −5.60607e7 + 9.71000e7i −0.282913 + 0.490020i
\(584\) −3.60997e7 + 2.08422e7i −0.181245 + 0.104642i
\(585\) −6.76711e6 1.17210e7i −0.0338015 0.0585458i
\(586\) −1.85956e8 1.07362e8i −0.924098 0.533528i
\(587\) 2.73172e8i 1.35059i 0.737549 + 0.675293i \(0.235983\pi\)
−0.737549 + 0.675293i \(0.764017\pi\)
\(588\) −1.32387e8 + 1.03608e8i −0.651196 + 0.509639i
\(589\) 2.75908e8 1.35026
\(590\) 3.54262e8 6.13600e8i 1.72492 2.98765i
\(591\) −3.68840e7 + 2.12950e7i −0.178680 + 0.103161i
\(592\) 1.22659e7 + 2.12452e7i 0.0591201 + 0.102399i
\(593\) −3.17713e8 1.83432e8i −1.52360 0.879651i −0.999610 0.0279272i \(-0.991109\pi\)
−0.523991 0.851724i \(-0.675557\pi\)
\(594\) 4.13898e7i 0.197485i
\(595\) 2.52531e8 1.70487e8i 1.19885 0.809355i
\(596\) 4.24167e8 2.00354
\(597\) 4.65507e6 8.06283e6i 0.0218778 0.0378935i
\(598\) −3.78479e7 + 2.18515e7i −0.176986 + 0.102183i
\(599\) 8.45253e7 + 1.46402e8i 0.393284 + 0.681188i 0.992881 0.119114i \(-0.0380055\pi\)
−0.599596 + 0.800303i \(0.704672\pi\)
\(600\) 1.18261e8 + 6.82779e7i 0.547504 + 0.316102i
\(601\) 1.61411e8i 0.743551i −0.928323 0.371775i \(-0.878749\pi\)
0.928323 0.371775i \(-0.121251\pi\)
\(602\) 3.40290e7 + 4.83760e8i 0.155977 + 2.21738i
\(603\) −4.24175e7 −0.193461
\(604\) 2.05888e8 3.56608e8i 0.934373 1.61838i
\(605\) −1.76172e8 + 1.01713e8i −0.795556 + 0.459315i
\(606\) 1.01463e8 + 1.75739e8i 0.455921 + 0.789678i
\(607\) 1.67933e8 + 9.69564e7i 0.750881 + 0.433521i 0.826012 0.563652i \(-0.190604\pi\)
−0.0751313 + 0.997174i \(0.523938\pi\)
\(608\) 5.61309e8i 2.49742i
\(609\) 1.46663e7 3.01020e7i 0.0649335 0.133273i
\(610\) 2.47269e8 1.08938
\(611\) 6.37043e6 1.10339e7i 0.0279283 0.0483733i
\(612\) 8.46231e7 4.88572e7i 0.369177 0.213144i
\(613\) 5.21774e7 + 9.03739e7i 0.226517 + 0.392339i 0.956773 0.290834i \(-0.0939328\pi\)
−0.730256 + 0.683173i \(0.760599\pi\)
\(614\) 4.44359e8 + 2.56551e8i 1.91968 + 1.10833i
\(615\) 2.20779e8i 0.949143i
\(616\) −9.32074e7 4.54125e7i −0.398757 0.194282i
\(617\) −3.99769e8 −1.70198 −0.850989 0.525183i \(-0.823997\pi\)
−0.850989 + 0.525183i \(0.823997\pi\)
\(618\) 7.58537e7 1.31382e8i 0.321374 0.556637i
\(619\) −2.11757e8 + 1.22258e8i −0.892822 + 0.515471i −0.874865 0.484368i \(-0.839050\pi\)
−0.0179577 + 0.999839i \(0.505716\pi\)
\(620\) −1.89574e8 3.28352e8i −0.795433 1.37773i
\(621\) −4.17779e7 2.41205e7i −0.174450 0.100719i
\(622\) 1.42350e8i 0.591544i
\(623\) −6.15456e7 + 4.32929e6i −0.254526 + 0.0179041i
\(624\) 6.68922e6 0.0275310
\(625\) −1.71720e6 + 2.97427e6i −0.00703363 + 0.0121826i
\(626\) 1.16057e7 6.70056e6i 0.0473095 0.0273142i
\(627\) 9.22014e7 + 1.59698e8i 0.374055 + 0.647881i
\(628\) 3.83029e8 + 2.21142e8i 1.54651 + 0.892877i
\(629\) 6.89792e7i 0.277183i
\(630\) −1.17826e8 1.74528e8i −0.471215 0.697982i
\(631\) −2.46592e8 −0.981500 −0.490750 0.871301i \(-0.663277\pi\)
−0.490750 + 0.871301i \(0.663277\pi\)
\(632\) −1.31827e8 + 2.28332e8i −0.522221 + 0.904514i
\(633\) −4.96263e7 + 2.86517e7i −0.195659 + 0.112964i
\(634\) 1.23515e8 + 2.13935e8i 0.484677 + 0.839486i
\(635\) −1.62105e8 9.35911e7i −0.633102 0.365522i
\(636\) 1.82938e8i 0.711103i
\(637\) 3.00129e7 + 1.20971e7i 0.116116 + 0.0468019i
\(638\) 6.84281e7 0.263495
\(639\) 4.20040e7 7.27530e7i 0.160986 0.278836i
\(640\) −4.49533e8 + 2.59538e8i −1.71483 + 0.990058i
\(641\) −1.80422e8 3.12501e8i −0.685040 1.18652i −0.973424 0.229010i \(-0.926451\pi\)
0.288384 0.957515i \(-0.406882\pi\)
\(642\) 1.68044e8 + 9.70204e7i 0.635066 + 0.366655i
\(643\) 9.49305e7i 0.357086i 0.983932 + 0.178543i \(0.0571384\pi\)
−0.983932 + 0.178543i \(0.942862\pi\)
\(644\) −3.31860e8 + 2.24042e8i −1.24250 + 0.838827i
\(645\) −3.57712e8 −1.33307
\(646\) −3.69650e8 + 6.40252e8i −1.37118 + 2.37495i
\(647\) −1.29149e8 + 7.45642e7i −0.476846 + 0.275307i −0.719101 0.694905i \(-0.755446\pi\)
0.242255 + 0.970213i \(0.422113\pi\)
\(648\) −1.01906e7 1.76507e7i −0.0374521 0.0648690i
\(649\) −2.12698e8 1.22801e8i −0.778088 0.449229i
\(650\) 8.70949e7i 0.317141i
\(651\) 7.66363e6 + 1.08947e8i 0.0277774 + 0.394886i
\(652\) −3.11225e8 −1.12288
\(653\) 2.54667e6 4.41096e6i 0.00914604 0.0158414i −0.861416 0.507900i \(-0.830422\pi\)
0.870562 + 0.492058i \(0.163755\pi\)
\(654\) 2.45184e8 1.41557e8i 0.876514 0.506055i
\(655\) −9.79278e7 1.69616e8i −0.348483 0.603591i
\(656\) 9.44997e7 + 5.45594e7i 0.334749 + 0.193267i
\(657\) 2.93468e7i 0.103482i
\(658\) 8.68263e7 1.78208e8i 0.304771 0.625530i
\(659\) 5.76822e6 0.0201551 0.0100776 0.999949i \(-0.496792\pi\)
0.0100776 + 0.999949i \(0.496792\pi\)
\(660\) 1.26701e8 2.19453e8i 0.440707 0.763326i
\(661\) 1.29229e7 7.46102e6i 0.0447460 0.0258341i −0.477460 0.878653i \(-0.658442\pi\)
0.522206 + 0.852819i \(0.325109\pi\)
\(662\) 1.19352e8 + 2.06724e8i 0.411392 + 0.712552i
\(663\) −1.62890e7 9.40444e6i −0.0558924 0.0322695i
\(664\) 2.96630e8i 1.01324i
\(665\) 8.43402e8 + 4.10922e8i 2.86794 + 1.39732i
\(666\) −4.76726e7 −0.161379
\(667\) 3.98774e7 6.90696e7i 0.134384 0.232761i
\(668\) 1.62402e8 9.37631e7i 0.544833 0.314559i
\(669\) −1.11633e8 1.93354e8i −0.372833 0.645766i
\(670\) −3.81928e8 2.20506e8i −1.26986 0.733157i
\(671\) 8.57129e7i 0.283713i
\(672\) 2.21642e8 1.55909e7i 0.730372 0.0513764i
\(673\) 2.64968e8 0.869257 0.434629 0.900610i \(-0.356880\pi\)
0.434629 + 0.900610i \(0.356880\pi\)
\(674\) −3.82396e8 + 6.62330e8i −1.24892 + 2.16319i
\(675\) 8.32584e7 4.80693e7i 0.270718 0.156299i
\(676\) −2.17756e8 3.77165e8i −0.704905 1.22093i
\(677\) 2.64867e8 + 1.52921e8i 0.853615 + 0.492835i 0.861869 0.507131i \(-0.169294\pi\)
−0.00825369 + 0.999966i \(0.502627\pi\)
\(678\) 3.45438e7i 0.110836i
\(679\) −6.52860e7 9.67041e7i −0.208550 0.308912i
\(680\) 3.06610e8 0.975125
\(681\) −2.36252e7 + 4.09200e7i −0.0748055 + 0.129567i
\(682\) −1.93288e8 + 1.11595e8i −0.609328 + 0.351796i
\(683\) −7.48455e7 1.29636e8i −0.234911 0.406878i 0.724336 0.689447i \(-0.242147\pi\)
−0.959247 + 0.282570i \(0.908813\pi\)
\(684\) 2.60563e8 + 1.50436e8i 0.814227 + 0.470094i
\(685\) 9.51758e8i 2.96111i
\(686\) 4.79025e8 + 1.54987e8i 1.48384 + 0.480091i
\(687\) −9.75949e7 −0.300993
\(688\) 8.83987e7 1.53111e8i 0.271444 0.470155i
\(689\) 3.04957e7 1.76067e7i 0.0932356 0.0538296i
\(690\) −2.50779e8 4.34363e8i −0.763387 1.32222i
\(691\) 2.20972e8 + 1.27578e8i 0.669736 + 0.386672i 0.795977 0.605327i \(-0.206958\pi\)
−0.126241 + 0.992000i \(0.540291\pi\)
\(692\) 2.88701e7i 0.0871225i
\(693\) −6.04982e7 + 4.08430e7i −0.181779 + 0.122721i
\(694\) 9.67949e8 2.89584
\(695\) −1.66356e8 + 2.88138e8i −0.495548 + 0.858313i
\(696\) 2.91812e7 1.68478e7i 0.0865516 0.0499706i
\(697\) −1.53411e8 2.65716e8i −0.453063 0.784729i
\(698\) −3.59205e8 2.07387e8i −1.05627 0.609840i
\(699\) 1.84679e8i 0.540738i
\(700\) −5.59927e7 7.95998e8i −0.163244 2.32069i
\(701\) −2.47105e8 −0.717343 −0.358672 0.933464i \(-0.616770\pi\)
−0.358672 + 0.933464i \(0.616770\pi\)
\(702\) −6.49956e6 + 1.12576e7i −0.0187876 + 0.0325412i
\(703\) 1.83939e8 1.06197e8i 0.529429 0.305666i
\(704\) 1.83307e8 + 3.17496e8i 0.525364 + 0.909956i
\(705\) 1.26631e8 + 7.31105e7i 0.361387 + 0.208647i
\(706\) 2.42584e8i 0.689364i
\(707\) 1.56750e8 3.21722e8i 0.443556 0.910381i
\(708\) −4.00726e8 −1.12914
\(709\) 5.21037e7 9.02462e7i 0.146194 0.253215i −0.783624 0.621236i \(-0.786631\pi\)
0.929818 + 0.368020i \(0.119964\pi\)
\(710\) 7.56409e8 4.36713e8i 2.11340 1.22017i
\(711\) 9.28096e7 + 1.60751e8i 0.258217 + 0.447244i
\(712\) −5.37680e7 3.10430e7i −0.148965 0.0860050i
\(713\) 2.60133e8i 0.717675i
\(714\) −2.63082e8 1.28179e8i −0.722763 0.352145i
\(715\) −4.87771e7 −0.133444
\(716\) 1.84432e8 3.19446e8i 0.502456 0.870279i
\(717\) 5.79460e7 3.34551e7i 0.157205 0.0907622i
\(718\) −1.58748e8 2.74960e8i −0.428879 0.742841i
\(719\) −4.11126e8 2.37363e8i −1.10608 0.638598i −0.168271 0.985741i \(-0.553818\pi\)
−0.937812 + 0.347143i \(0.887152\pi\)
\(720\) 7.67691e7i 0.205679i
\(721\) −2.66889e8 + 1.87737e7i −0.712074 + 0.0500893i
\(722\) −1.68941e9 −4.48873
\(723\) 1.23630e8 2.14133e8i 0.327121 0.566589i
\(724\) −1.22109e8 + 7.04995e7i −0.321759 + 0.185768i
\(725\) 7.94709e7 + 1.37648e8i 0.208542 + 0.361206i
\(726\) 1.69207e8 + 9.76916e7i 0.442189 + 0.255298i
\(727\) 1.04048e8i 0.270790i 0.990792 + 0.135395i \(0.0432303\pi\)
−0.990792 + 0.135395i \(0.956770\pi\)
\(728\) 1.82201e7 + 2.69883e7i 0.0472233 + 0.0699490i
\(729\) −1.43489e7 −0.0370370
\(730\) −1.52559e8 + 2.64239e8i −0.392164 + 0.679249i
\(731\) −4.30521e8 + 2.48561e8i −1.10215 + 0.636329i
\(732\) −6.99248e7 1.21113e8i −0.178278 0.308787i
\(733\) 5.79355e8 + 3.34491e8i 1.47107 + 0.849322i 0.999472 0.0324917i \(-0.0103443\pi\)
0.471597 + 0.881814i \(0.343678\pi\)
\(734\) 1.01239e8i 0.256010i
\(735\) −1.38833e8 + 3.44445e8i −0.349648 + 0.867476i
\(736\) 5.29216e8 1.32739
\(737\) −7.64361e7 + 1.32391e8i −0.190940 + 0.330717i
\(738\) −1.83641e8 + 1.06025e8i −0.456877 + 0.263778i
\(739\) 1.54148e8 + 2.66992e8i 0.381948 + 0.661554i 0.991341 0.131315i \(-0.0419200\pi\)
−0.609393 + 0.792869i \(0.708587\pi\)
\(740\) −2.52765e8 1.45934e8i −0.623767 0.360132i
\(741\) 5.79145e7i 0.142342i
\(742\) 4.54089e8 3.06561e8i 1.11155 0.750420i
\(743\) 1.83763e8 0.448014 0.224007 0.974588i \(-0.428086\pi\)
0.224007 + 0.974588i \(0.428086\pi\)
\(744\) −5.49518e7 + 9.51793e7i −0.133433 + 0.231113i
\(745\) 8.11490e8 4.68514e8i 1.96252 1.13306i
\(746\) 4.49560e8 + 7.78661e8i 1.08286 + 1.87556i
\(747\) −1.80856e8 1.04417e8i −0.433882 0.250502i
\(748\) 3.52161e8i 0.841466i
\(749\) −2.40125e7 3.41364e8i −0.0571467 0.812404i
\(750\) 3.84179e8 0.910647
\(751\) −1.22666e8 + 2.12463e8i −0.289603 + 0.501608i −0.973715 0.227770i \(-0.926857\pi\)
0.684112 + 0.729377i \(0.260190\pi\)
\(752\) −6.25868e7 + 3.61345e7i −0.147173 + 0.0849706i
\(753\) 5.54756e7 + 9.60865e7i 0.129932 + 0.225049i
\(754\) −1.86117e7 1.07454e7i −0.0434181 0.0250675i
\(755\) 9.09655e8i 2.11366i
\(756\) −5.21649e7 + 1.07066e8i −0.120729 + 0.247792i
\(757\) −8.44770e8 −1.94738 −0.973690 0.227876i \(-0.926822\pi\)
−0.973690 + 0.227876i \(0.926822\pi\)
\(758\) −2.83040e8 + 4.90240e8i −0.649891 + 1.12564i
\(759\) −1.50567e8 + 8.69299e7i −0.344353 + 0.198812i
\(760\) 4.72043e8 + 8.17602e8i 1.07533 + 1.86252i
\(761\) 4.91638e8 + 2.83847e8i 1.11556 + 0.644066i 0.940263 0.340450i \(-0.110579\pi\)
0.175293 + 0.984516i \(0.443913\pi\)
\(762\) 1.79782e8i 0.406331i
\(763\) −4.48854e8 2.18691e8i −1.01049 0.492331i
\(764\) 3.92077e8 0.879208
\(765\) 1.07930e8 1.86941e8i 0.241079 0.417562i
\(766\) −8.18291e8 + 4.72440e8i −1.82063 + 1.05114i