Properties

Label 43.9.f.a.2.11
Level 43
Weight 9
Character 43.2
Analytic conductor 17.517
Analytic rank 0
Dimension 174
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 9 \)
Character orbit: \([\chi]\) \(=\) 43.f (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(17.5172802326\)
Analytic rank: \(0\)
Dimension: \(174\)
Relative dimension: \(29\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 2.11
Character \(\chi\) \(=\) 43.2
Dual form 43.9.f.a.22.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.04009 - 10.4659i) q^{2} +(-24.0340 + 49.9071i) q^{3} +(75.4818 - 94.6511i) q^{4} +(11.0383 + 2.51943i) q^{5} +643.453 q^{6} -674.726i q^{7} +(-4270.24 - 974.653i) q^{8} +(2177.63 + 2730.67i) q^{9} +O(q^{10})\) \(q+(-5.04009 - 10.4659i) q^{2} +(-24.0340 + 49.9071i) q^{3} +(75.4818 - 94.6511i) q^{4} +(11.0383 + 2.51943i) q^{5} +643.453 q^{6} -674.726i q^{7} +(-4270.24 - 974.653i) q^{8} +(2177.63 + 2730.67i) q^{9} +(-29.2663 - 128.224i) q^{10} +(11361.9 + 14247.3i) q^{11} +(2909.63 + 6041.92i) q^{12} +(7866.45 - 34465.2i) q^{13} +(-7061.58 + 3400.68i) q^{14} +(-391.032 + 490.339i) q^{15} +(4425.37 + 19388.8i) q^{16} +(-28127.5 - 123235. i) q^{17} +(17603.3 - 36553.6i) q^{18} +(39450.9 + 31461.1i) q^{19} +(1071.66 - 854.621i) q^{20} +(33673.6 + 16216.3i) q^{21} +(91845.6 - 190719. i) q^{22} +(-113128. - 141859. i) q^{23} +(151273. - 189690. i) q^{24} +(-351825. - 169430. i) q^{25} +(-400355. + 91378.5i) q^{26} +(-542936. + 123922. i) q^{27} +(-63863.6 - 50929.5i) q^{28} +(-453185. - 941048. i) q^{29} +(7102.66 + 1621.14i) q^{30} +(1.19527e6 - 575614. i) q^{31} +(-696046. + 555078. i) q^{32} +(-984113. + 224617. i) q^{33} +(-1.14799e6 + 915493. i) q^{34} +(1699.92 - 7447.85i) q^{35} +422832. q^{36} -2.38635e6i q^{37} +(130431. - 571454. i) q^{38} +(1.53099e6 + 1.22093e6i) q^{39} +(-44680.7 - 21517.1i) q^{40} +(3.16692e6 - 1.52511e6i) q^{41} -434155. i q^{42} +(-326137. - 3.40321e6i) q^{43} +2.20614e6 q^{44} +(17157.7 + 35628.4i) q^{45} +(-914493. + 1.89896e6i) q^{46} +(-3.57668e6 + 4.48501e6i) q^{47} +(-1.07400e6 - 245133. i) q^{48} +5.30955e6 q^{49} +4.53610e6i q^{50} +(6.82630e6 + 1.55806e6i) q^{51} +(-2.66840e6 - 3.34606e6i) q^{52} +(1.78170e6 + 7.80614e6i) q^{53} +(4.03339e6 + 5.05771e6i) q^{54} +(89521.0 + 185892. i) q^{55} +(-657624. + 2.88124e6i) q^{56} +(-2.51829e6 + 1.21275e6i) q^{57} +(-7.56478e6 + 9.48593e6i) q^{58} +(-1.78551e6 - 7.82283e6i) q^{59} +(16895.3 + 74023.3i) q^{60} +(-8.28638e6 + 1.72069e7i) q^{61} +(-1.20486e7 - 9.60842e6i) q^{62} +(1.84245e6 - 1.46931e6i) q^{63} +(1.39045e7 + 6.69606e6i) q^{64} +(173665. - 360620. i) q^{65} +(7.31083e6 + 9.16749e6i) q^{66} +(6.68407e6 - 8.38155e6i) q^{67} +(-1.37874e7 - 6.63967e6i) q^{68} +(9.79866e6 - 2.23648e6i) q^{69} +(-86515.9 + 19746.7i) q^{70} +(-724001. - 577372. i) q^{71} +(-6.63756e6 - 1.37830e7i) q^{72} +(3.06823e7 + 7.00305e6i) q^{73} +(-2.49752e7 + 1.20274e7i) q^{74} +(1.69115e7 - 1.34865e7i) q^{75} +(5.95565e6 - 1.35934e6i) q^{76} +(9.61304e6 - 7.66614e6i) q^{77} +(5.06170e6 - 2.21767e7i) q^{78} -6.41156e7 q^{79} +225170. i q^{80} +(1.76521e6 - 7.73389e6i) q^{81} +(-3.19231e7 - 2.54578e7i) q^{82} +(6.76139e7 + 3.25612e7i) q^{83} +(4.07664e6 - 1.96320e6i) q^{84} -1.43117e6i q^{85} +(-3.39737e7 + 2.05658e7i) q^{86} +5.78568e7 q^{87} +(-3.46316e7 - 7.19133e7i) q^{88} +(7.71418e6 - 1.60187e7i) q^{89} +(286405. - 359141. i) q^{90} +(-2.32545e7 - 5.30770e6i) q^{91} -2.19662e7 q^{92} +7.34869e7i q^{93} +(6.49662e7 + 1.48281e7i) q^{94} +(356209. + 446672. i) q^{95} +(-1.09736e7 - 4.80783e7i) q^{96} +(-9.66526e7 - 1.21198e8i) q^{97} +(-2.67606e7 - 5.55689e7i) q^{98} +(-1.41627e7 + 6.20509e7i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 174q - 7q^{2} - 7q^{3} + 4021q^{4} - 7q^{5} + 1780q^{6} - 5383q^{8} + 56490q^{9} + O(q^{10}) \) \( 174q - 7q^{2} - 7q^{3} + 4021q^{4} - 7q^{5} + 1780q^{6} - 5383q^{8} + 56490q^{9} - 24989q^{10} - 14864q^{11} - 1799q^{12} + 133078q^{13} - 243363q^{14} - 7457q^{15} - 558511q^{16} + 55162q^{17} - 45934q^{18} + 619745q^{19} + 1207493q^{20} + 307272q^{21} + 432761q^{22} + 473962q^{23} + 179363q^{24} + 2991984q^{25} + 112889q^{26} - 7q^{27} + 458745q^{28} + 1369823q^{29} + 4208148q^{30} + 608540q^{31} - 15074437q^{32} - 10988257q^{33} + 1542905q^{34} - 4078926q^{35} + 53343072q^{36} - 15207265q^{38} - 16862587q^{39} - 537581q^{40} - 852935q^{41} + 2982351q^{43} - 10366284q^{44} + 52423812q^{45} + 51003036q^{46} + 5828578q^{47} - 32078599q^{48} - 145853506q^{49} - 30015937q^{51} + 71975797q^{52} - 7800770q^{53} + 43151245q^{54} - 53485957q^{55} + 25379079q^{56} - 21662515q^{57} - 191329035q^{58} + 69716890q^{59} - 106388277q^{60} - 49131775q^{61} + 67656953q^{62} + 355075q^{63} + 227160853q^{64} - 87064999q^{65} + 146686057q^{66} - 31581292q^{67} + 200919430q^{68} - 30179079q^{69} + 86518670q^{70} - 60255454q^{71} - 438784346q^{72} - 50897868q^{73} + 5087868q^{74} + 206284834q^{75} + 461519674q^{76} + 256281375q^{77} - 182130842q^{78} - 236682026q^{79} - 488977844q^{81} - 226181851q^{82} - 429023996q^{83} - 513228846q^{84} + 336855461q^{86} + 255103986q^{87} + 977894029q^{88} - 258201748q^{89} + 1399550866q^{90} + 246776320q^{91} + 363749100q^{92} - 637129955q^{94} + 60088655q^{95} - 1169196874q^{96} + 218930393q^{97} - 330217825q^{98} + 459482633q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.04009 10.4659i −0.315006 0.654116i 0.682008 0.731345i \(-0.261107\pi\)
−0.997013 + 0.0772290i \(0.975393\pi\)
\(3\) −24.0340 + 49.9071i −0.296716 + 0.616136i −0.995021 0.0996633i \(-0.968223\pi\)
0.698306 + 0.715800i \(0.253938\pi\)
\(4\) 75.4818 94.6511i 0.294851 0.369731i
\(5\) 11.0383 + 2.51943i 0.0176613 + 0.00403109i 0.231342 0.972872i \(-0.425688\pi\)
−0.213681 + 0.976903i \(0.568545\pi\)
\(6\) 643.453 0.496492
\(7\) 674.726i 0.281019i −0.990079 0.140509i \(-0.955126\pi\)
0.990079 0.140509i \(-0.0448740\pi\)
\(8\) −4270.24 974.653i −1.04254 0.237952i
\(9\) 2177.63 + 2730.67i 0.331906 + 0.416197i
\(10\) −29.2663 128.224i −0.00292663 0.0128224i
\(11\) 11361.9 + 14247.3i 0.776031 + 0.973112i 0.999999 0.00148488i \(-0.000472653\pi\)
−0.223968 + 0.974596i \(0.571901\pi\)
\(12\) 2909.63 + 6041.92i 0.140318 + 0.291373i
\(13\) 7866.45 34465.2i 0.275426 1.20672i −0.628080 0.778148i \(-0.716159\pi\)
0.903507 0.428574i \(-0.140984\pi\)
\(14\) −7061.58 + 3400.68i −0.183819 + 0.0885225i
\(15\) −391.032 + 490.339i −0.00772410 + 0.00968571i
\(16\) 4425.37 + 19388.8i 0.0675258 + 0.295850i
\(17\) −28127.5 123235.i −0.336772 1.47549i −0.805735 0.592276i \(-0.798230\pi\)
0.468963 0.883218i \(-0.344628\pi\)
\(18\) 17603.3 36553.6i 0.167689 0.348209i
\(19\) 39450.9 + 31461.1i 0.302721 + 0.241412i 0.763055 0.646334i \(-0.223699\pi\)
−0.460333 + 0.887746i \(0.652270\pi\)
\(20\) 1071.66 854.621i 0.00669788 0.00534138i
\(21\) 33673.6 + 16216.3i 0.173146 + 0.0833826i
\(22\) 91845.6 190719.i 0.392074 0.814150i
\(23\) −113128. 141859.i −0.404259 0.506925i 0.537476 0.843279i \(-0.319378\pi\)
−0.941736 + 0.336353i \(0.890806\pi\)
\(24\) 151273. 189690.i 0.455949 0.571741i
\(25\) −351825. 169430.i −0.900673 0.433741i
\(26\) −400355. + 91378.5i −0.876097 + 0.199963i
\(27\) −542936. + 123922.i −1.02163 + 0.233180i
\(28\) −63863.6 50929.5i −0.103901 0.0828585i
\(29\) −453185. 941048.i −0.640742 1.33051i −0.927971 0.372653i \(-0.878448\pi\)
0.287229 0.957862i \(-0.407266\pi\)
\(30\) 7102.66 + 1621.14i 0.00876871 + 0.00200140i
\(31\) 1.19527e6 575614.i 1.29426 0.623282i 0.345243 0.938513i \(-0.387796\pi\)
0.949015 + 0.315231i \(0.102082\pi\)
\(32\) −696046. + 555078.i −0.663801 + 0.529364i
\(33\) −984113. + 224617.i −0.829830 + 0.189403i
\(34\) −1.14799e6 + 915493.i −0.859059 + 0.685077i
\(35\) 1699.92 7447.85i 0.00113281 0.00496317i
\(36\) 422832. 0.251743
\(37\) 2.38635e6i 1.27329i −0.771156 0.636646i \(-0.780321\pi\)
0.771156 0.636646i \(-0.219679\pi\)
\(38\) 130431. 571454.i 0.0625526 0.274061i
\(39\) 1.53099e6 + 1.22093e6i 0.661782 + 0.527754i
\(40\) −44680.7 21517.1i −0.0174534 0.00840512i
\(41\) 3.16692e6 1.52511e6i 1.12073 0.539715i 0.220613 0.975361i \(-0.429194\pi\)
0.900118 + 0.435646i \(0.143480\pi\)
\(42\) 434155.i 0.139523i
\(43\) −326137. 3.40321e6i −0.0953950 0.995439i
\(44\) 2.20614e6 0.588603
\(45\) 17157.7 + 35628.4i 0.00418418 + 0.00868854i
\(46\) −914493. + 1.89896e6i −0.204244 + 0.424117i
\(47\) −3.57668e6 + 4.48501e6i −0.732973 + 0.919119i −0.998994 0.0448481i \(-0.985720\pi\)
0.266021 + 0.963967i \(0.414291\pi\)
\(48\) −1.07400e6 245133.i −0.202320 0.0461782i
\(49\) 5.30955e6 0.921029
\(50\) 4.53610e6i 0.725776i
\(51\) 6.82630e6 + 1.55806e6i 1.00903 + 0.230305i
\(52\) −2.66840e6 3.34606e6i −0.364953 0.457636i
\(53\) 1.78170e6 + 7.80614e6i 0.225804 + 0.989311i 0.953021 + 0.302904i \(0.0979560\pi\)
−0.727217 + 0.686407i \(0.759187\pi\)
\(54\) 4.03339e6 + 5.05771e6i 0.474346 + 0.594811i
\(55\) 89521.0 + 185892.i 0.00978305 + 0.0203147i
\(56\) −657624. + 2.88124e6i −0.0668691 + 0.292973i
\(57\) −2.51829e6 + 1.21275e6i −0.238565 + 0.114887i
\(58\) −7.56478e6 + 9.48593e6i −0.668474 + 0.838239i
\(59\) −1.78551e6 7.82283e6i −0.147351 0.645589i −0.993615 0.112824i \(-0.964010\pi\)
0.846264 0.532765i \(-0.178847\pi\)
\(60\) 16895.3 + 74023.3i 0.00130365 + 0.00571168i
\(61\) −8.28638e6 + 1.72069e7i −0.598475 + 1.24275i 0.353174 + 0.935558i \(0.385102\pi\)
−0.951649 + 0.307188i \(0.900612\pi\)
\(62\) −1.20486e7 9.60842e6i −0.815397 0.650258i
\(63\) 1.84245e6 1.46931e6i 0.116959 0.0932717i
\(64\) 1.39045e7 + 6.69606e6i 0.828773 + 0.399116i
\(65\) 173665. 360620.i 0.00972880 0.0202021i
\(66\) 7.31083e6 + 9.16749e6i 0.385293 + 0.483142i
\(67\) 6.68407e6 8.38155e6i 0.331697 0.415935i −0.587816 0.808995i \(-0.700012\pi\)
0.919513 + 0.393060i \(0.128583\pi\)
\(68\) −1.37874e7 6.63967e6i −0.644833 0.310535i
\(69\) 9.79866e6 2.23648e6i 0.432285 0.0986663i
\(70\) −86515.9 + 19746.7i −0.00360333 + 0.000822436i
\(71\) −724001. 577372.i −0.0284909 0.0227207i 0.609141 0.793062i \(-0.291514\pi\)
−0.637632 + 0.770341i \(0.720086\pi\)
\(72\) −6.63756e6 1.37830e7i −0.246989 0.512879i
\(73\) 3.06823e7 + 7.00305e6i 1.08043 + 0.246601i 0.725452 0.688273i \(-0.241631\pi\)
0.354979 + 0.934874i \(0.384488\pi\)
\(74\) −2.49752e7 + 1.20274e7i −0.832881 + 0.401094i
\(75\) 1.69115e7 1.34865e7i 0.534488 0.426240i
\(76\) 5.95565e6 1.35934e6i 0.178515 0.0407449i
\(77\) 9.61304e6 7.66614e6i 0.273462 0.218079i
\(78\) 5.06170e6 2.21767e7i 0.136747 0.599128i
\(79\) −6.41156e7 −1.64610 −0.823049 0.567971i \(-0.807729\pi\)
−0.823049 + 0.567971i \(0.807729\pi\)
\(80\) 225170.i 0.00549731i
\(81\) 1.76521e6 7.73389e6i 0.0410069 0.179663i
\(82\) −3.19231e7 2.54578e7i −0.706073 0.563074i
\(83\) 6.76139e7 + 3.25612e7i 1.42470 + 0.686100i 0.978004 0.208585i \(-0.0668859\pi\)
0.446697 + 0.894685i \(0.352600\pi\)
\(84\) 4.07664e6 1.96320e6i 0.0818813 0.0394320i
\(85\) 1.43117e6i 0.0274168i
\(86\) −3.39737e7 + 2.05658e7i −0.621083 + 0.375968i
\(87\) 5.78568e7 1.00990
\(88\) −3.46316e7 7.19133e7i −0.577487 1.19916i
\(89\) 7.71418e6 1.60187e7i 0.122950 0.255309i −0.830404 0.557161i \(-0.811891\pi\)
0.953355 + 0.301852i \(0.0976049\pi\)
\(90\) 286405. 359141.i 0.00436527 0.00547388i
\(91\) −2.32545e7 5.30770e6i −0.339111 0.0774000i
\(92\) −2.19662e7 −0.306622
\(93\) 7.34869e7i 0.982377i
\(94\) 6.49662e7 + 1.48281e7i 0.832101 + 0.189922i
\(95\) 356209. + 446672.i 0.00437331 + 0.00548396i
\(96\) −1.09736e7 4.80783e7i −0.129200 0.566063i
\(97\) −9.66526e7 1.21198e8i −1.09176 1.36902i −0.923643 0.383254i \(-0.874803\pi\)
−0.168115 0.985767i \(-0.553768\pi\)
\(98\) −2.67606e7 5.55689e7i −0.290129 0.602459i
\(99\) −1.41627e7 + 6.20509e7i −0.147437 + 0.645963i
\(100\) −4.25932e7 + 2.05118e7i −0.425932 + 0.205118i
\(101\) 3.67074e7 4.60296e7i 0.352751 0.442335i −0.573522 0.819190i \(-0.694423\pi\)
0.926272 + 0.376855i \(0.122995\pi\)
\(102\) −1.80987e7 7.92958e7i −0.167204 0.732571i
\(103\) −2.78152e7 1.21866e8i −0.247134 1.08277i −0.934362 0.356324i \(-0.884030\pi\)
0.687228 0.726442i \(-0.258827\pi\)
\(104\) −6.71832e7 + 1.39507e8i −0.574285 + 1.19251i
\(105\) 330845. + 263840.i 0.00272187 + 0.00217062i
\(106\) 7.27180e7 5.79907e7i 0.575995 0.459340i
\(107\) 1.61315e8 + 7.76854e7i 1.23067 + 0.592658i 0.932263 0.361782i \(-0.117831\pi\)
0.298404 + 0.954440i \(0.403546\pi\)
\(108\) −2.92524e7 + 6.07433e7i −0.215014 + 0.446482i
\(109\) 2.90827e7 + 3.64686e7i 0.206029 + 0.258353i 0.874101 0.485744i \(-0.161451\pi\)
−0.668071 + 0.744097i \(0.732880\pi\)
\(110\) 1.49433e6 1.87383e6i 0.0102065 0.0127985i
\(111\) 1.19096e8 + 5.73536e7i 0.784522 + 0.377806i
\(112\) 1.30821e7 2.98591e6i 0.0831394 0.0189760i
\(113\) −2.56644e8 + 5.85773e7i −1.57404 + 0.359265i −0.918353 0.395763i \(-0.870480\pi\)
−0.655692 + 0.755029i \(0.727623\pi\)
\(114\) 2.53848e7 + 2.02437e7i 0.150299 + 0.119859i
\(115\) −891347. 1.85090e6i −0.00509631 0.0105826i
\(116\) −1.23278e8 2.81375e7i −0.680856 0.155401i
\(117\) 1.11243e8 5.35719e7i 0.593649 0.285886i
\(118\) −7.28735e7 + 5.81147e7i −0.375873 + 0.299749i
\(119\) −8.31496e7 + 1.89784e7i −0.414641 + 0.0946392i
\(120\) 2.14771e6 1.71274e6i 0.0103574 0.00825975i
\(121\) −2.61950e7 + 1.14768e8i −0.122202 + 0.535401i
\(122\) 2.21849e8 1.00142
\(123\) 1.94706e8i 0.850665i
\(124\) 3.57389e7 1.56582e8i 0.151166 0.662302i
\(125\) −6.91454e6 5.51416e6i −0.0283220 0.0225860i
\(126\) −2.46637e7 1.18774e7i −0.0978533 0.0471237i
\(127\) 7.34245e7 3.53594e7i 0.282245 0.135922i −0.287406 0.957809i \(-0.592793\pi\)
0.569651 + 0.821887i \(0.307079\pi\)
\(128\) 4.86395e7i 0.181196i
\(129\) 1.77683e8 + 6.55161e7i 0.641632 + 0.236586i
\(130\) −4.64948e6 −0.0162791
\(131\) 1.97250e8 + 4.09593e8i 0.669779 + 1.39081i 0.907739 + 0.419535i \(0.137807\pi\)
−0.237961 + 0.971275i \(0.576479\pi\)
\(132\) −5.30223e7 + 1.10102e8i −0.174648 + 0.362660i
\(133\) 2.12276e7 2.66186e7i 0.0678413 0.0850703i
\(134\) −1.21408e8 2.77107e7i −0.376556 0.0859465i
\(135\) −6.30532e6 −0.0189833
\(136\) 5.53656e8i 1.61839i
\(137\) 5.51852e8 + 1.25957e8i 1.56654 + 0.357552i 0.915763 0.401720i \(-0.131587\pi\)
0.650774 + 0.759271i \(0.274444\pi\)
\(138\) −7.27928e7 9.12793e7i −0.200712 0.251684i
\(139\) −1.83142e7 8.02399e7i −0.0490602 0.214947i 0.944456 0.328638i \(-0.106590\pi\)
−0.993516 + 0.113691i \(0.963733\pi\)
\(140\) −576635. 723077.i −0.00150103 0.00188223i
\(141\) −1.37872e8 2.86294e8i −0.348818 0.724329i
\(142\) −2.39366e6 + 1.04873e7i −0.00588720 + 0.0257935i
\(143\) 5.80414e8 2.79513e8i 1.38801 0.668433i
\(144\) −4.33076e7 + 5.43060e7i −0.100720 + 0.126298i
\(145\) −2.63150e6 1.15294e7i −0.00595295 0.0260816i
\(146\) −8.13489e7 3.56413e8i −0.179036 0.784408i
\(147\) −1.27609e8 + 2.64984e8i −0.273284 + 0.567479i
\(148\) −2.25871e8 1.80126e8i −0.470776 0.375431i
\(149\) −3.95385e8 + 3.15309e8i −0.802186 + 0.639722i −0.936283 0.351246i \(-0.885758\pi\)
0.134097 + 0.990968i \(0.457187\pi\)
\(150\) −2.26383e8 1.09020e8i −0.447177 0.215349i
\(151\) 4.37758e7 9.09013e7i 0.0842027 0.174849i −0.854616 0.519261i \(-0.826207\pi\)
0.938819 + 0.344412i \(0.111922\pi\)
\(152\) −1.37801e8 1.72797e8i −0.258154 0.323715i
\(153\) 2.75261e8 3.45167e8i 0.502319 0.629888i
\(154\) −1.28683e8 6.19706e7i −0.228791 0.110180i
\(155\) 1.46441e7 3.34241e6i 0.0253708 0.00579073i
\(156\) 2.31124e8 5.27526e7i 0.390254 0.0890729i
\(157\) −4.36843e8 3.48371e8i −0.718997 0.573381i 0.194169 0.980968i \(-0.437799\pi\)
−0.913166 + 0.407587i \(0.866370\pi\)
\(158\) 3.23148e8 + 6.71025e8i 0.518530 + 1.07674i
\(159\) −4.32403e8 9.86931e7i −0.676550 0.154418i
\(160\) −9.08167e6 + 4.37350e6i −0.0138575 + 0.00667344i
\(161\) −9.57156e7 + 7.63306e7i −0.142455 + 0.113604i
\(162\) −8.98387e7 + 2.05051e7i −0.130438 + 0.0297716i
\(163\) 7.60352e8 6.06361e8i 1.07712 0.858975i 0.0865868 0.996244i \(-0.472404\pi\)
0.990534 + 0.137269i \(0.0438326\pi\)
\(164\) 9.46914e7 4.14870e8i 0.130899 0.573504i
\(165\) −1.14289e7 −0.0154194
\(166\) 8.71749e8i 1.14805i
\(167\) −2.21563e8 + 9.70732e8i −0.284860 + 1.24805i 0.606619 + 0.794993i \(0.292525\pi\)
−0.891479 + 0.453061i \(0.850332\pi\)
\(168\) −1.27989e8 1.02068e8i −0.160670 0.128130i
\(169\) −3.91020e8 1.88305e8i −0.479349 0.230842i
\(170\) −1.49784e7 + 7.21324e6i −0.0179337 + 0.00863643i
\(171\) 1.76238e8i 0.206118i
\(172\) −3.46735e8 2.26011e8i −0.396172 0.258235i
\(173\) −1.41396e9 −1.57853 −0.789264 0.614055i \(-0.789537\pi\)
−0.789264 + 0.614055i \(0.789537\pi\)
\(174\) −2.91603e8 6.05521e8i −0.318123 0.660590i
\(175\) −1.14319e8 + 2.37386e8i −0.121889 + 0.253106i
\(176\) −2.25958e8 + 2.83343e8i −0.235493 + 0.295299i
\(177\) 4.33328e8 + 9.89042e7i 0.441492 + 0.100768i
\(178\) −2.06529e8 −0.205732
\(179\) 1.04127e9i 1.01427i −0.861867 0.507134i \(-0.830705\pi\)
0.861867 0.507134i \(-0.169295\pi\)
\(180\) 4.66737e6 + 1.06530e6i 0.00444613 + 0.00101480i
\(181\) −5.73190e7 7.18757e7i −0.0534052 0.0669681i 0.754412 0.656402i \(-0.227922\pi\)
−0.807817 + 0.589434i \(0.799351\pi\)
\(182\) 6.16554e7 + 2.70130e8i 0.0561935 + 0.246200i
\(183\) −6.59589e8 8.27098e8i −0.588124 0.737484i
\(184\) 3.44822e8 + 7.16030e8i 0.300832 + 0.624683i
\(185\) 6.01225e6 2.63414e7i 0.00513275 0.0224881i
\(186\) 7.69103e8 3.70381e8i 0.642589 0.309454i
\(187\) 1.43618e9 1.80092e9i 1.17447 1.47274i
\(188\) 1.54537e8 + 6.77073e8i 0.123709 + 0.542006i
\(189\) 8.36131e7 + 3.66333e8i 0.0655280 + 0.287097i
\(190\) 2.87948e6 5.97930e6i 0.00220953 0.00458813i
\(191\) −3.63053e8 2.89525e8i −0.272795 0.217547i 0.477531 0.878615i \(-0.341532\pi\)
−0.750326 + 0.661068i \(0.770103\pi\)
\(192\) −6.68361e8 + 5.33000e8i −0.491820 + 0.392213i
\(193\) 1.20085e9 + 5.78300e8i 0.865487 + 0.416796i 0.813302 0.581841i \(-0.197667\pi\)
0.0521841 + 0.998637i \(0.483382\pi\)
\(194\) −7.81308e8 + 1.62240e9i −0.551589 + 1.14539i
\(195\) 1.38236e7 + 1.73342e7i 0.00956054 + 0.0119885i
\(196\) 4.00774e8 5.02555e8i 0.271566 0.340533i
\(197\) 3.62541e8 + 1.74591e8i 0.240709 + 0.115919i 0.550350 0.834934i \(-0.314494\pi\)
−0.309641 + 0.950854i \(0.600209\pi\)
\(198\) 7.20797e8 1.64517e8i 0.468978 0.107041i
\(199\) −2.54109e8 + 5.79987e7i −0.162035 + 0.0369833i −0.302769 0.953064i \(-0.597911\pi\)
0.140734 + 0.990047i \(0.455054\pi\)
\(200\) 1.33724e9 + 1.06641e9i 0.835776 + 0.666509i
\(201\) 2.57654e8 + 5.35024e8i 0.157853 + 0.327785i
\(202\) −6.66748e8 1.52181e8i −0.400457 0.0914017i
\(203\) −6.34949e8 + 3.05775e8i −0.373899 + 0.180061i
\(204\) 6.62733e8 5.28512e8i 0.382664 0.305165i
\(205\) 3.87999e7 8.85583e6i 0.0219693 0.00501434i
\(206\) −1.13524e9 + 9.05326e8i −0.630406 + 0.502732i
\(207\) 1.41016e8 6.17832e8i 0.0768046 0.336503i
\(208\) 7.03052e8 0.375607
\(209\) 9.19527e8i 0.481925i
\(210\) 1.09382e6 4.79235e6i 0.000562431 0.00246417i
\(211\) 2.10408e9 + 1.67795e9i 1.06153 + 0.846541i 0.988565 0.150794i \(-0.0481829\pi\)
0.0729635 + 0.997335i \(0.476754\pi\)
\(212\) 8.73346e8 + 4.20581e8i 0.432357 + 0.208212i
\(213\) 4.62156e7 2.22562e7i 0.0224528 0.0108127i
\(214\) 2.07984e9i 0.991689i
\(215\) 4.97414e6 3.83875e7i 0.00232790 0.0179653i
\(216\) 2.43924e9 1.12057
\(217\) −3.88381e8 8.06482e8i −0.175154 0.363711i
\(218\) 2.35095e8 4.88181e8i 0.104092 0.216150i
\(219\) −1.08692e9 + 1.36295e9i −0.472521 + 0.592523i
\(220\) 2.43521e7 + 5.55821e6i 0.0103955 + 0.00237271i
\(221\) −4.46857e9 −1.87327
\(222\) 1.53551e9i 0.632179i
\(223\) −1.17555e9 2.68311e8i −0.475358 0.108497i −0.0218719 0.999761i \(-0.506963\pi\)
−0.453486 + 0.891263i \(0.649820\pi\)
\(224\) 3.74526e8 + 4.69640e8i 0.148761 + 0.186541i
\(225\) −3.03490e8 1.32968e9i −0.118417 0.518819i
\(226\) 1.90657e9 + 2.39076e9i 0.730834 + 0.916437i
\(227\) 1.31836e9 + 2.73759e9i 0.496511 + 1.03102i 0.987171 + 0.159665i \(0.0510414\pi\)
−0.490660 + 0.871351i \(0.663244\pi\)
\(228\) −7.52974e7 + 3.29899e8i −0.0278638 + 0.122079i
\(229\) −2.50331e9 + 1.20553e9i −0.910274 + 0.438365i −0.829589 0.558375i \(-0.811425\pi\)
−0.0806854 + 0.996740i \(0.525711\pi\)
\(230\) −1.48788e7 + 1.86574e7i −0.00531688 + 0.00666715i
\(231\) 1.51555e8 + 6.64006e8i 0.0532259 + 0.233198i
\(232\) 1.01801e9 + 4.46019e9i 0.351399 + 1.53958i
\(233\) −5.52291e7 + 1.14684e8i −0.0187389 + 0.0389117i −0.910128 0.414327i \(-0.864017\pi\)
0.891389 + 0.453238i \(0.149731\pi\)
\(234\) −1.12135e9 8.94248e8i −0.374006 0.298260i
\(235\) −5.07802e7 + 4.04959e7i −0.0166503 + 0.0132782i
\(236\) −8.75214e8 4.21481e8i −0.282141 0.135872i
\(237\) 1.54095e9 3.19982e9i 0.488423 1.01422i
\(238\) 6.17706e8 + 7.74579e8i 0.192519 + 0.241412i
\(239\) −4.41643e8 + 5.53803e8i −0.135357 + 0.169732i −0.844890 0.534940i \(-0.820334\pi\)
0.709533 + 0.704672i \(0.248906\pi\)
\(240\) −1.12376e7 5.41173e6i −0.00338709 0.00163114i
\(241\) −1.82765e9 + 4.17149e8i −0.541782 + 0.123658i −0.484650 0.874708i \(-0.661053\pi\)
−0.0571324 + 0.998367i \(0.518196\pi\)
\(242\) 1.33317e9 3.04287e8i 0.388708 0.0887201i
\(243\) −2.51311e9 2.00414e9i −0.720754 0.574782i
\(244\) 1.00318e9 + 2.08312e9i 0.283021 + 0.587699i
\(245\) 5.86086e7 + 1.33770e7i 0.0162666 + 0.00371275i
\(246\) 2.03776e9 9.81335e8i 0.556434 0.267964i
\(247\) 1.39465e9 1.11220e9i 0.374695 0.298809i
\(248\) −5.66513e9 + 1.29303e9i −1.49762 + 0.341823i
\(249\) −3.25006e9 + 2.59184e9i −0.845463 + 0.674234i
\(250\) −2.28605e7 + 1.00158e8i −0.00585229 + 0.0256406i
\(251\) 5.60453e8 0.141203 0.0706016 0.997505i \(-0.477508\pi\)
0.0706016 + 0.997505i \(0.477508\pi\)
\(252\) 2.85296e8i 0.0707446i
\(253\) 7.35755e8 3.22355e9i 0.179577 0.786779i
\(254\) −7.40132e8 5.90236e8i −0.177817 0.141805i
\(255\) 7.14256e7 + 3.43967e7i 0.0168925 + 0.00813498i
\(256\) 4.06861e9 1.95934e9i 0.947296 0.456194i
\(257\) 3.17588e8i 0.0728001i −0.999337 0.0364001i \(-0.988411\pi\)
0.999337 0.0364001i \(-0.0115891\pi\)
\(258\) −2.09854e8 2.18981e9i −0.0473628 0.494228i
\(259\) −1.61013e9 −0.357819
\(260\) −2.10245e7 4.36578e7i −0.00460079 0.00955363i
\(261\) 1.58282e9 3.28675e9i 0.341090 0.708280i
\(262\) 3.29259e9 4.12878e9i 0.698767 0.876226i
\(263\) −5.62497e9 1.28386e9i −1.17570 0.268346i −0.410331 0.911936i \(-0.634587\pi\)
−0.765370 + 0.643590i \(0.777444\pi\)
\(264\) 4.42132e9 0.910198
\(265\) 9.06557e7i 0.0183828i
\(266\) −3.85575e8 8.80050e7i −0.0770162 0.0175785i
\(267\) 6.14042e8 + 7.69984e8i 0.120824 + 0.151508i
\(268\) −2.88798e8 1.26531e9i −0.0559829 0.245277i
\(269\) 3.80521e9 + 4.77158e9i 0.726724 + 0.911284i 0.998698 0.0510213i \(-0.0162476\pi\)
−0.271973 + 0.962305i \(0.587676\pi\)
\(270\) 3.17794e7 + 6.59906e7i 0.00597986 + 0.0124173i
\(271\) 3.80577e8 1.66742e9i 0.0705611 0.309148i −0.927316 0.374280i \(-0.877890\pi\)
0.997877 + 0.0651321i \(0.0207469\pi\)
\(272\) 2.26490e9 1.09072e9i 0.413784 0.199268i
\(273\) 8.23791e8 1.03300e9i 0.148309 0.185973i
\(274\) −1.46314e9 6.41044e9i −0.259588 1.13733i
\(275\) −1.58347e9 6.93762e9i −0.276871 1.21305i
\(276\) 5.27935e8 1.09627e9i 0.0909796 0.188921i
\(277\) 3.03731e9 + 2.42218e9i 0.515906 + 0.411421i 0.846530 0.532341i \(-0.178688\pi\)
−0.330624 + 0.943763i \(0.607259\pi\)
\(278\) −7.47474e8 + 5.96090e8i −0.125146 + 0.0998005i
\(279\) 4.17468e9 + 2.01042e9i 0.688980 + 0.331795i
\(280\) −1.45181e7 + 3.01472e7i −0.00236200 + 0.00490474i
\(281\) 1.75622e9 + 2.20223e9i 0.281678 + 0.353213i 0.902463 0.430768i \(-0.141757\pi\)
−0.620785 + 0.783981i \(0.713186\pi\)
\(282\) −2.30142e9 + 2.88589e9i −0.363915 + 0.456335i
\(283\) −7.20006e9 3.46737e9i −1.12251 0.540573i −0.221844 0.975082i \(-0.571208\pi\)
−0.900667 + 0.434509i \(0.856922\pi\)
\(284\) −1.09298e8 + 2.49465e7i −0.0168011 + 0.00383475i
\(285\) −3.08532e7 + 7.04204e6i −0.00467650 + 0.00106738i
\(286\) −5.85068e9 4.66576e9i −0.874465 0.697362i
\(287\) −1.02903e9 2.13680e9i −0.151670 0.314946i
\(288\) −3.03147e9 6.91913e8i −0.440639 0.100573i
\(289\) −8.11069e9 + 3.90590e9i −1.16270 + 0.559925i
\(290\) −1.07402e8 + 8.56500e7i −0.0151852 + 0.0121098i
\(291\) 8.37160e9 1.91076e9i 1.16745 0.266462i
\(292\) 2.97880e9 2.37552e9i 0.409742 0.326758i
\(293\) −1.83514e9 + 8.04025e9i −0.248999 + 1.09094i 0.683553 + 0.729901i \(0.260434\pi\)
−0.932552 + 0.361035i \(0.882423\pi\)
\(294\) 3.41645e9 0.457283
\(295\) 9.08496e7i 0.0119960i
\(296\) −2.32587e9 + 1.01903e10i −0.302983 + 1.32746i
\(297\) −7.93432e9 6.32741e9i −1.01973 0.813205i
\(298\) 5.29275e9 + 2.54886e9i 0.671145 + 0.323207i
\(299\) −5.77910e9 + 2.78307e9i −0.723062 + 0.348208i
\(300\) 2.61868e9i 0.323294i
\(301\) −2.29623e9 + 2.20053e8i −0.279737 + 0.0268078i
\(302\) −1.17199e9 −0.140896
\(303\) 1.41498e9 + 2.93823e9i 0.167872 + 0.348590i
\(304\) −4.35408e8 + 9.04134e8i −0.0509803 + 0.105862i
\(305\) −1.34819e8 + 1.69058e8i −0.0155795 + 0.0195361i
\(306\) −4.99981e9 1.14117e9i −0.570253 0.130157i
\(307\) 9.46261e9 1.06526 0.532632 0.846347i \(-0.321203\pi\)
0.532632 + 0.846347i \(0.321203\pi\)
\(308\) 1.48854e9i 0.165408i
\(309\) 6.75049e9 + 1.54076e9i 0.740460 + 0.169005i
\(310\) −1.08789e8 1.36417e8i −0.0117798 0.0147714i
\(311\) 8.52209e8 + 3.73377e9i 0.0910971 + 0.399123i 0.999833 0.0182480i \(-0.00580884\pi\)
−0.908736 + 0.417371i \(0.862952\pi\)
\(312\) −5.34772e9 6.70583e9i −0.564353 0.707676i
\(313\) 4.70244e9 + 9.76472e9i 0.489944 + 1.01738i 0.988598 + 0.150578i \(0.0481133\pi\)
−0.498655 + 0.866801i \(0.666172\pi\)
\(314\) −1.44427e9 + 6.32776e9i −0.148570 + 0.650926i
\(315\) 2.40394e7 1.15768e7i 0.00244164 0.00117583i
\(316\) −4.83956e9 + 6.06862e9i −0.485353 + 0.608613i
\(317\) 1.35022e8 + 5.91569e8i 0.0133711 + 0.0585826i 0.981173 0.193129i \(-0.0618636\pi\)
−0.967802 + 0.251712i \(0.919007\pi\)
\(318\) 1.14644e9 + 5.02289e9i 0.112110 + 0.491185i
\(319\) 8.25839e9 1.71487e10i 0.797504 1.65603i
\(320\) 1.36612e8 + 1.08945e8i 0.0130284 + 0.0103898i
\(321\) −7.75410e9 + 6.18368e9i −0.730316 + 0.582408i
\(322\) 1.28128e9 + 6.17032e8i 0.119185 + 0.0573964i
\(323\) 2.76744e9 5.74664e9i 0.254254 0.527964i
\(324\) −5.98781e8 7.50847e8i −0.0543360 0.0681352i
\(325\) −8.60706e9 + 1.07929e10i −0.771474 + 0.967398i
\(326\) −1.01783e10 4.90162e9i −0.901168 0.433980i
\(327\) −2.51901e9 + 5.74948e8i −0.220313 + 0.0502849i
\(328\) −1.50099e10 + 3.42592e9i −1.29683 + 0.295993i
\(329\) 3.02615e9 + 2.41327e9i 0.258290 + 0.205979i
\(330\) 5.76026e7 + 1.19613e8i 0.00485720 + 0.0100861i
\(331\) 1.81992e10 + 4.15386e9i 1.51615 + 0.346051i 0.897994 0.440007i \(-0.145024\pi\)
0.618153 + 0.786058i \(0.287881\pi\)
\(332\) 8.18557e9 3.94196e9i 0.673747 0.324459i
\(333\) 6.51634e9 5.19661e9i 0.529940 0.422613i
\(334\) 1.12762e10 2.57373e9i 0.906105 0.206812i
\(335\) 9.48977e7 7.56784e7i 0.00753488 0.00600887i
\(336\) −1.65398e8 + 7.24655e8i −0.0129769 + 0.0568557i
\(337\) 1.49717e10 1.16078 0.580392 0.814337i \(-0.302899\pi\)
0.580392 + 0.814337i \(0.302899\pi\)
\(338\) 5.04143e9i 0.386267i
\(339\) 3.24475e9 1.42162e10i 0.245687 1.07643i
\(340\) −1.35462e8 1.08027e8i −0.0101368 0.00808385i
\(341\) 2.17815e10 + 1.04894e10i 1.61091 + 0.775772i
\(342\) 1.84448e9 8.88256e8i 0.134825 0.0649282i
\(343\) 7.47215e9i 0.539845i
\(344\) −1.92427e9 + 1.48504e10i −0.137414 + 1.06048i
\(345\) 1.13796e8 0.00803247
\(346\) 7.12648e9 + 1.47983e10i 0.497245 + 1.03254i
\(347\) −6.05515e9 + 1.25736e10i −0.417645 + 0.867248i 0.580934 + 0.813951i \(0.302687\pi\)
−0.998579 + 0.0532976i \(0.983027\pi\)
\(348\) 4.36713e9 5.47621e9i 0.297769 0.373390i
\(349\) −1.06492e10 2.43062e9i −0.717822 0.163838i −0.152018 0.988378i \(-0.548577\pi\)
−0.565804 + 0.824540i \(0.691434\pi\)
\(350\) 3.06062e9 0.203957
\(351\) 1.96872e10i 1.29705i
\(352\) −1.58168e10 3.61007e9i −1.03026 0.235150i
\(353\) −4.49689e9 5.63893e9i −0.289610 0.363160i 0.615648 0.788021i \(-0.288894\pi\)
−0.905258 + 0.424861i \(0.860323\pi\)
\(354\) −1.14889e9 5.03363e9i −0.0731588 0.320530i
\(355\) −6.53713e6 8.19730e6i −0.000411598 0.000516128i
\(356\) −9.33905e8 1.93927e9i −0.0581437 0.120737i
\(357\) 1.05126e9 4.60588e9i 0.0647199 0.283557i
\(358\) −1.08978e10 + 5.24811e9i −0.663449 + 0.319500i
\(359\) 7.21817e9 9.05129e9i 0.434559 0.544920i −0.515541 0.856865i \(-0.672409\pi\)
0.950100 + 0.311945i \(0.100980\pi\)
\(360\) −3.85422e7 1.68865e8i −0.00229471 0.0100538i
\(361\) −3.21262e9 1.40754e10i −0.189161 0.828767i
\(362\) −4.63348e8 + 9.62152e8i −0.0269819 + 0.0560285i
\(363\) −5.09816e9 4.06564e9i −0.293621 0.234155i
\(364\) −2.25767e9 + 1.80044e9i −0.128604 + 0.102559i
\(365\) 3.21039e8 + 1.54604e8i 0.0180878 + 0.00871062i
\(366\) −5.33190e9 + 1.10718e10i −0.297138 + 0.617013i
\(367\) 1.16276e10 + 1.45806e10i 0.640954 + 0.803731i 0.991122 0.132956i \(-0.0424469\pi\)
−0.350168 + 0.936687i \(0.613875\pi\)
\(368\) 2.24983e9 2.82120e9i 0.122676 0.153831i
\(369\) 1.10609e10 + 5.32667e9i 0.596605 + 0.287310i
\(370\) −3.05988e8 + 6.98397e7i −0.0163266 + 0.00372645i
\(371\) 5.26700e9 1.20216e9i 0.278015 0.0634551i
\(372\) 6.95562e9 + 5.54692e9i 0.363215 + 0.289655i
\(373\) −6.16100e9 1.27934e10i −0.318285 0.660925i 0.679034 0.734107i \(-0.262399\pi\)
−0.997319 + 0.0731820i \(0.976685\pi\)
\(374\) −2.60866e10 5.95411e9i −1.33331 0.304320i
\(375\) 4.41379e8 2.12557e8i 0.0223196 0.0107486i
\(376\) 1.96446e10 1.56660e10i 0.982859 0.783804i
\(377\) −3.59983e10 + 8.21639e9i −1.78204 + 0.406739i
\(378\) 3.41257e9 2.72143e9i 0.167153 0.133300i
\(379\) 6.06210e9 2.65598e10i 0.293810 1.28727i −0.585366 0.810769i \(-0.699049\pi\)
0.879176 0.476496i \(-0.158093\pi\)
\(380\) 6.91653e7 0.00331706
\(381\) 4.51423e9i 0.214232i
\(382\) −1.20031e9 + 5.25890e9i −0.0563689 + 0.246968i
\(383\) 1.06925e10 + 8.52699e9i 0.496917 + 0.396278i 0.839627 0.543163i \(-0.182773\pi\)
−0.342710 + 0.939441i \(0.611345\pi\)
\(384\) −2.42745e9 1.16900e9i −0.111642 0.0537637i
\(385\) 1.25426e8 6.04021e7i 0.00570881 0.00274922i
\(386\) 1.54826e10i 0.697422i
\(387\) 8.58283e9 8.30152e9i 0.382637 0.370095i
\(388\) −1.87671e10 −0.828075
\(389\) −2.97605e9 6.17983e9i −0.129970 0.269885i 0.825821 0.563932i \(-0.190712\pi\)
−0.955791 + 0.294047i \(0.904998\pi\)
\(390\) 1.11745e8 2.32042e8i 0.00483027 0.0100302i
\(391\) −1.42999e10 + 1.79315e10i −0.611822 + 0.767200i
\(392\) −2.26730e10 5.17497e9i −0.960207 0.219161i
\(393\) −2.51823e10 −1.05566
\(394\) 4.67425e9i 0.193967i
\(395\) −7.07730e8 1.61535e8i −0.0290723 0.00663556i
\(396\) 4.80416e9 + 6.02423e9i 0.195361 + 0.244974i
\(397\) −1.61925e9 7.09438e9i −0.0651855 0.285596i 0.931821 0.362919i \(-0.118220\pi\)
−0.997006 + 0.0773229i \(0.975363\pi\)
\(398\) 1.88774e9 + 2.36715e9i 0.0752332 + 0.0943394i
\(399\) 8.18271e8 + 1.69916e9i 0.0322853 + 0.0670412i
\(400\) 1.72809e9 7.57128e9i 0.0675037 0.295753i
\(401\) 3.90779e10 1.88189e10i 1.51131 0.727809i 0.519374 0.854547i \(-0.326165\pi\)
0.991936 + 0.126738i \(0.0404508\pi\)
\(402\) 4.30089e9 5.39314e9i 0.164685 0.206508i
\(403\) −1.04361e10 4.57234e10i −0.395655 1.73348i
\(404\) −1.58602e9 6.94879e9i −0.0595363 0.260846i
\(405\) 3.89700e7 8.09220e7i 0.00144847 0.00300778i
\(406\) 6.40040e9 + 5.10415e9i 0.235561 + 0.187854i
\(407\) 3.39992e10 2.71134e10i 1.23906 0.988114i
\(408\) −2.76313e10 1.33065e10i −0.997151 0.480203i
\(409\) 4.02390e8 8.35572e8i 0.0143799 0.0298601i −0.893655 0.448754i \(-0.851868\pi\)
0.908035 + 0.418894i \(0.137582\pi\)
\(410\) −2.88239e8 3.61440e8i −0.0102004 0.0127909i
\(411\) −1.95493e10 + 2.45141e10i −0.685117 + 0.859109i
\(412\) −1.36343e10 6.56594e9i −0.473200 0.227881i
\(413\) −5.27827e9 + 1.20473e9i −0.181423 + 0.0414085i
\(414\) −7.17687e9 + 1.63807e9i −0.244306 + 0.0557612i
\(415\) 6.64310e8 + 5.29770e8i 0.0223964 + 0.0178605i
\(416\) 1.36555e10 + 2.83559e10i 0.455967 + 0.946824i
\(417\) 4.44470e9 + 1.01447e9i 0.146994 + 0.0335503i
\(418\) 9.62363e9 4.63450e9i 0.315235 0.151809i
\(419\) 2.56887e10 2.04861e10i 0.833464 0.664665i −0.110804 0.993842i \(-0.535343\pi\)
0.944268 + 0.329177i \(0.106771\pi\)
\(420\) 4.99455e7 1.13997e7i 0.00160509 0.000366351i
\(421\) −4.37729e10 + 3.49077e10i −1.39340 + 1.11120i −0.413775 + 0.910379i \(0.635790\pi\)
−0.979628 + 0.200822i \(0.935639\pi\)
\(422\) 6.95640e9 3.04780e10i 0.219348 0.961028i
\(423\) −2.00358e10 −0.625812
\(424\) 3.50706e10i 1.08512i
\(425\) −1.09837e10 + 4.81228e10i −0.336661 + 1.47501i
\(426\) −4.65861e8 3.71512e8i −0.0141455 0.0112807i
\(427\) 1.16099e10 + 5.59104e9i 0.349235 + 0.168183i
\(428\) 1.95294e10 9.40485e9i 0.581987 0.280270i
\(429\) 3.56846e10i 1.05354i
\(430\) −4.26828e8 + 1.41418e8i −0.0124847 + 0.00413647i
\(431\) 8.14089e9 0.235919 0.117959 0.993018i \(-0.462365\pi\)
0.117959 + 0.993018i \(0.462365\pi\)
\(432\) −4.80539e9 9.97849e9i −0.137973 0.286504i
\(433\) −1.27302e10 + 2.64346e10i −0.362147 + 0.752006i −0.999833 0.0182907i \(-0.994178\pi\)
0.637686 + 0.770297i \(0.279892\pi\)
\(434\) −6.48305e9 + 8.12949e9i −0.182734 + 0.229142i
\(435\) 6.38643e8 + 1.45766e8i 0.0178361 + 0.00407098i
\(436\) 5.64701e9 0.156269
\(437\) 9.15559e9i 0.251050i
\(438\) 1.97427e10 + 4.50613e9i 0.536425 + 0.122436i
\(439\) 3.38187e9 + 4.24074e9i 0.0910541 + 0.114178i 0.825271 0.564736i \(-0.191022\pi\)
−0.734217 + 0.678914i \(0.762451\pi\)
\(440\) −2.01095e8 8.81056e8i −0.00536526 0.0235068i
\(441\) 1.15622e10 + 1.44986e10i 0.305695 + 0.383329i
\(442\) 2.25220e10 + 4.67674e10i 0.590090 + 1.22533i
\(443\) −6.11964e9 + 2.68119e10i −0.158895 + 0.696166i 0.831224 + 0.555938i \(0.187641\pi\)
−0.990119 + 0.140228i \(0.955216\pi\)
\(444\) 1.44182e10 6.94342e9i 0.371003 0.178666i
\(445\) 1.25510e8 1.57384e8i 0.00320064 0.00401348i
\(446\) 3.11676e9 + 1.36554e10i 0.0787706 + 0.345116i
\(447\) −6.23347e9 2.73106e10i −0.156135 0.684072i
\(448\) 4.51800e9 9.38173e9i 0.112159 0.232901i
\(449\) −2.61058e10 2.08187e10i −0.642320 0.512233i 0.247298 0.968940i \(-0.420457\pi\)
−0.889617 + 0.456707i \(0.849029\pi\)
\(450\) −1.23866e10 + 9.87796e9i −0.302065 + 0.240889i
\(451\) 5.77108e10 + 2.77920e10i 1.39492 + 0.671760i
\(452\) −1.38275e10 + 2.87131e10i −0.331276 + 0.687903i
\(453\) 3.48451e9 + 4.36944e9i 0.0827464 + 0.103761i
\(454\) 2.20066e10 2.75954e10i 0.518000 0.649552i
\(455\) −2.43319e8 1.17176e8i −0.00567716 0.00273397i
\(456\) 1.19357e10 2.72425e9i 0.276051 0.0630067i
\(457\) 1.03360e10 2.35913e9i 0.236968 0.0540863i −0.102388 0.994745i \(-0.532648\pi\)
0.339355 + 0.940658i \(0.389791\pi\)
\(458\) 2.52338e10 + 2.01233e10i 0.573483 + 0.457338i
\(459\) 3.05429e10 + 6.34229e10i 0.688112 + 1.42888i
\(460\) −2.42470e8 5.53423e7i −0.00541536 0.00123602i
\(461\) −2.68975e10 + 1.29532e10i −0.595537 + 0.286795i −0.707271 0.706943i \(-0.750074\pi\)
0.111734 + 0.993738i \(0.464360\pi\)
\(462\) 6.18554e9 4.93281e9i 0.135772 0.108274i
\(463\) −3.32407e10 + 7.58698e9i −0.723347 + 0.165099i −0.568316 0.822810i \(-0.692405\pi\)
−0.155031 + 0.987910i \(0.549548\pi\)
\(464\) 1.62403e10 1.29512e10i 0.350366 0.279408i
\(465\) −1.85145e8 + 8.11174e8i −0.00396005 + 0.0173501i
\(466\) 1.47863e9 0.0313557
\(467\) 4.55224e10i 0.957101i −0.878060 0.478550i \(-0.841162\pi\)
0.878060 0.478550i \(-0.158838\pi\)
\(468\) 3.32619e9 1.45730e10i 0.0693368 0.303784i
\(469\) −5.65525e9 4.50991e9i −0.116885 0.0932130i
\(470\) 6.79761e8 + 3.27356e8i 0.0139304 + 0.00670855i
\(471\) 2.78853e10 1.34288e10i 0.566619 0.272869i
\(472\) 3.51456e10i 0.708114i
\(473\) 4.47811e10 4.33134e10i 0.894644 0.865321i
\(474\) −4.12554e10 −0.817274
\(475\) −8.54939e9 1.77530e10i −0.167942 0.348736i
\(476\) −4.47996e9 + 9.30273e9i −0.0872662 + 0.181210i
\(477\) −1.74361e10 + 2.18641e10i −0.336802 + 0.422337i
\(478\) 8.02195e9 + 1.83096e9i 0.153663 + 0.0350725i
\(479\) 7.95082e9 0.151032 0.0755162 0.997145i \(-0.475940\pi\)
0.0755162 + 0.997145i \(0.475940\pi\)
\(480\) 5.58352e8i 0.0105182i
\(481\) −8.22461e10 1.87721e10i −1.53651 0.350698i
\(482\) 1.35773e10 + 1.70254e10i 0.251551 + 0.315435i
\(483\) −1.50901e9 6.61141e9i −0.0277271 0.121480i
\(484\) 8.88566e9 + 1.11423e10i 0.161923 + 0.203045i
\(485\) −7.61533e8 1.58134e9i −0.0137633 0.0285797i
\(486\) −8.30873e9 + 3.64029e10i −0.148933 + 0.652516i
\(487\) −3.73753e10 + 1.79990e10i −0.664460 + 0.319987i −0.735538 0.677484i \(-0.763070\pi\)
0.0710777 + 0.997471i \(0.477356\pi\)
\(488\) 5.21555e10 6.54010e10i 0.919647 1.15320i
\(489\) 1.19874e10 + 5.25202e10i 0.209647 + 0.918525i
\(490\) −1.55391e8 6.80810e8i −0.00269551 0.0118098i
\(491\) 2.03654e10 4.22892e10i 0.350402 0.727618i −0.649049 0.760747i \(-0.724833\pi\)
0.999451 + 0.0331288i \(0.0105472\pi\)
\(492\) 1.84291e10 + 1.46967e10i 0.314517 + 0.250819i
\(493\) −1.03223e11 + 8.23174e10i −1.74738 + 1.39349i
\(494\) −1.86693e10 8.99064e9i −0.313487 0.150967i
\(495\) −3.12666e8 + 6.49257e8i −0.00520786 + 0.0108142i
\(496\) 1.64500e10 + 2.06277e10i 0.271794 + 0.340819i
\(497\) −3.89568e8 + 4.88502e8i −0.00638495 + 0.00800647i
\(498\) 4.35064e10 + 2.09516e10i 0.707353 + 0.340643i
\(499\) 5.74617e10 1.31153e10i 0.926780 0.211531i 0.267611 0.963527i \(-0.413766\pi\)
0.659168 + 0.751996i \(0.270909\pi\)
\(500\) −1.04384e9 + 2.38250e8i −0.0167015 + 0.00381201i
\(501\) −4.31213e10 3.43881e10i −0.684449 0.545830i
\(502\) −2.82473e9 5.86562e9i −0.0444798 0.0923632i
\(503\) 4.72720e10 + 1.07895e10i 0.738468 + 0.168550i 0.575179 0.818028i \(-0.304933\pi\)
0.163289 + 0.986578i \(0.447790\pi\)
\(504\) −9.29976e9 + 4.47853e9i −0.144128 + 0.0694086i
\(505\) 5.21157e8 4.15609e8i 0.00801314 0.00639027i
\(506\) −3.74455e10 + 8.54670e9i −0.571213 + 0.130376i
\(507\) 1.87955e10 1.49889e10i 0.284461 0.226850i
\(508\) 2.19541e9 9.61870e9i 0.0329655 0.144431i
\(509\) 1.63212e10 0.243154 0.121577 0.992582i \(-0.461205\pi\)
0.121577 + 0.992582i \(0.461205\pi\)
\(510\) 9.20893e8i 0.0136122i
\(511\) 4.72514e9 2.07022e10i 0.0692996 0.303621i
\(512\) −3.12772e10 2.49427e10i −0.455143 0.362964i
\(513\) −2.53180e10 1.21925e10i −0.365562 0.176045i
\(514\) −3.32384e9 + 1.60067e9i −0.0476197 + 0.0229325i
\(515\) 1.41528e9i 0.0201193i
\(516\) 1.96130e10 1.18726e10i 0.276659 0.167474i
\(517\) −1.04537e11 −1.46322
\(518\) 8.11522e9 + 1.68514e10i 0.112715 + 0.234055i
\(519\) 3.39830e10 7.05665e10i 0.468374 0.972588i
\(520\) −1.09307e9 + 1.37067e9i −0.0149498 + 0.0187464i
\(521\) −1.18096e11 2.69547e10i −1.60282 0.365834i −0.674695 0.738097i \(-0.735725\pi\)
−0.928127 + 0.372263i \(0.878582\pi\)
\(522\) −4.23762e10 −0.570743
\(523\) 6.05205e10i 0.808901i 0.914560 + 0.404451i \(0.132537\pi\)
−0.914560 + 0.404451i \(0.867463\pi\)
\(524\) 5.36572e10 + 1.22469e10i 0.711710 + 0.162443i
\(525\) −9.09968e9 1.14106e10i −0.119781 0.150201i
\(526\) 1.49136e10 + 6.53409e10i 0.194823 + 0.853576i
\(527\) −1.04556e11 1.31109e11i −1.35552 1.69977i
\(528\) −8.71013e9 1.80868e10i −0.112070 0.232716i
\(529\) 1.01000e10 4.42511e10i 0.128973 0.565069i
\(530\) 9.48789e8 4.56913e8i 0.0120245 0.00579068i
\(531\) 1.74734e10 2.19109e10i 0.219785 0.275602i
\(532\) −9.17181e8 4.01843e9i −0.0114501 0.0501661i
\(533\) −2.76507e10 1.21146e11i −0.342608 1.50106i
\(534\) 4.96372e9 1.03073e10i 0.0610438 0.126759i
\(535\) 1.58493e9 + 1.26394e9i 0.0193462 + 0.0154281i
\(536\) −3.67116e10 + 2.92766e10i −0.444779 + 0.354700i
\(537\) 5.19669e10 + 2.50259e10i 0.624928 + 0.300949i
\(538\) 3.07601e10 6.38740e10i 0.367163 0.762422i
\(539\) 6.03263e10 + 7.56468e10i 0.714746 + 0.896263i
\(540\) −4.75937e8 + 5.96806e8i −0.00559725 + 0.00701872i
\(541\) 5.95592e10 + 2.86822e10i 0.695280 + 0.334829i 0.747924 0.663784i \(-0.231051\pi\)
−0.0526442 + 0.998613i \(0.516765\pi\)
\(542\) −1.93691e10 + 4.42087e9i −0.224446 + 0.0512284i
\(543\) 4.96471e9 1.13316e9i 0.0571076 0.0130344i
\(544\) 8.79829e10 + 7.01641e10i 1.00462 + 0.801160i
\(545\) 2.29145e8 + 4.75825e8i 0.00259731 + 0.00539338i
\(546\) −1.49632e10 3.41526e9i −0.168366 0.0384284i
\(547\) 5.34401e10 2.57354e10i 0.596923 0.287463i −0.110924 0.993829i \(-0.535381\pi\)
0.707847 + 0.706366i \(0.249667\pi\)
\(548\) 5.35767e10 4.27260e10i 0.594092 0.473773i
\(549\) −6.50309e10 + 1.48429e10i −0.715864 + 0.163391i
\(550\) −6.46273e10 + 5.15385e10i −0.706261 + 0.563224i
\(551\) 1.17278e10 5.13829e10i 0.127236 0.557458i
\(552\) −4.40224e10 −0.474152
\(553\) 4.32605e10i 0.462584i
\(554\) 1.00418e10 4.39961e10i 0.106604 0.467062i
\(555\) 1.17012e9 + 9.33142e8i 0.0123327 + 0.00983503i
\(556\) −8.97719e9 4.32318e9i −0.0939379 0.0452381i
\(557\) 1.39087e11 6.69807e10i 1.44499 0.695871i 0.463273 0.886215i \(-0.346675\pi\)
0.981717 + 0.190345i \(0.0609605\pi\)
\(558\) 5.38243e10i 0.555190i
\(559\) −1.19858e11 1.55308e10i −1.22749 0.159055i
\(560\) 1.51928e8 0.00154485
\(561\) 5.53613e10 + 1.14959e11i 0.558927 + 1.16062i
\(562\) 1.41967e10 2.94797e10i 0.142312 0.295514i
\(563\) 7.05288e10 8.84404e10i 0.701994 0.880272i −0.295177 0.955443i \(-0.595379\pi\)
0.997171 + 0.0751704i \(0.0239501\pi\)
\(564\) −3.75049e10 8.56024e9i −0.370656 0.0845998i
\(565\) −2.98050e9 −0.0292480
\(566\) 9.28307e10i 0.904536i
\(567\) −5.21826e9 1.19103e9i −0.0504886 0.0115237i
\(568\) 2.52892e9 + 3.17116e9i 0.0242964 + 0.0304667i
\(569\) −2.40896e10 1.05543e11i −0.229816 1.00689i −0.949790 0.312889i \(-0.898703\pi\)
0.719974 0.694001i \(-0.244154\pi\)
\(570\) 2.29204e8 + 2.87413e8i 0.00217131 + 0.00272274i
\(571\) −1.21562e10 2.52426e10i −0.114355 0.237460i 0.835934 0.548830i \(-0.184926\pi\)
−0.950289 + 0.311370i \(0.899212\pi\)
\(572\) 1.73545e10 7.60350e10i 0.162117 0.710280i
\(573\) 2.31750e10 1.11605e10i 0.214981 0.103530i
\(574\) −1.71770e10 + 2.15393e10i −0.158234 + 0.198420i
\(575\) 1.57663e10 + 6.90768e10i 0.144231 + 0.631918i
\(576\) 1.19942e10 + 5.25501e10i 0.108964 + 0.477402i
\(577\) 2.38504e10 4.95258e10i 0.215175 0.446815i −0.765244 0.643741i \(-0.777381\pi\)
0.980418 + 0.196926i \(0.0630957\pi\)
\(578\) 8.17573e10 + 6.51992e10i 0.732512 + 0.584159i
\(579\) −5.77225e10 + 4.60322e10i −0.513607 + 0.409588i
\(580\) −1.28990e9 6.21183e8i −0.0113984 0.00548918i
\(581\) 2.19699e10 4.56209e10i 0.192807 0.400368i
\(582\) −6.21914e10 7.79856e10i −0.542049 0.679708i
\(583\) −9.09732e10 + 1.14077e11i −0.787479 + 0.987468i
\(584\) −1.24195e11 5.98093e10i −1.06771 0.514183i
\(585\) 1.36291e9 3.11076e8i 0.0116371 0.00265609i
\(586\) 9.33974e10 2.13173e10i 0.792035 0.180777i
\(587\) −1.28999e11 1.02873e11i −1.08651 0.866463i −0.0948695 0.995490i \(-0.530243\pi\)
−0.991641 + 0.129026i \(0.958815\pi\)
\(588\) 1.54488e10 + 3.20798e10i 0.129237 + 0.268363i
\(589\) 6.52641e10 + 1.48961e10i 0.542267 + 0.123769i
\(590\) −9.50819e8 + 4.57890e8i −0.00784675 + 0.00377879i
\(591\) −1.74266e10 + 1.38972e10i −0.142844 + 0.113914i
\(592\) 4.62686e10 1.05605e10i 0.376703 0.0859801i
\(593\) −8.47394e10 + 6.75774e10i −0.685278 + 0.546491i −0.903064 0.429506i \(-0.858688\pi\)
0.217787 + 0.975996i \(0.430116\pi\)
\(594\) −2.62320e10 + 1.14930e11i −0.210711 + 0.923183i
\(595\) −9.65649e8 −0.00770462
\(596\) 6.12237e10i 0.485215i
\(597\) 3.21270e9 1.40758e10i 0.0252914 0.110809i
\(598\) 5.82544e10 + 4.64563e10i 0.455537 + 0.363279i
\(599\) 1.35745e11 + 6.53713e10i 1.05443 + 0.507785i 0.879057 0.476717i \(-0.158173\pi\)
0.175370 + 0.984503i \(0.443888\pi\)
\(600\) −8.53608e10 + 4.11076e10i −0.658649 + 0.317188i
\(601\) 1.03542e11i 0.793628i 0.917899 + 0.396814i \(0.129884\pi\)
−0.917899 + 0.396814i \(0.870116\pi\)
\(602\) 1.38763e10 + 2.29230e10i 0.105654 + 0.174536i
\(603\) 3.74427e10 0.283203
\(604\) −5.29964e9 1.10048e10i −0.0398198 0.0826866i
\(605\) −5.78299e8 + 1.20085e9i −0.00431649 + 0.00896329i
\(606\) 2.36195e10 2.96179e10i 0.175138 0.219616i
\(607\) 8.40041e9 + 1.91734e9i 0.0618793 + 0.0141236i 0.253349 0.967375i \(-0.418468\pi\)
−0.191469 + 0.981499i \(0.561325\pi\)
\(608\) −4.49230e10 −0.328742
\(609\) 3.90374e10i 0.283800i
\(610\) 2.44884e9 + 5.58932e8i 0.0176865 + 0.00403682i
\(611\) 1.26441e11 + 1.58552e11i 0.907241 + 1.13764i
\(612\) −1.18932e10 5.21076e10i −0.0847801 0.371446i
\(613\) 7.41980e10 + 9.30413e10i 0.525473 + 0.658922i 0.971761 0.235967i \(-0.0758259\pi\)
−0.446288 + 0.894889i \(0.647254\pi\)
\(614\) −4.76924e10 9.90344e10i −0.335565 0.696807i
\(615\) −4.90548e8 + 2.14923e9i −0.00342911 + 0.0150239i
\(616\) −4.85218e10 + 2.33668e10i −0.336987 + 0.162285i
\(617\) −1.52631e11 + 1.91393e11i −1.05318 + 1.32064i −0.107977 + 0.994153i \(0.534437\pi\)
−0.945201 + 0.326490i \(0.894134\pi\)
\(618\) −1.78978e10 7.84152e10i −0.122700 0.537584i
\(619\) −4.92106e10 2.15606e11i −0.335194 1.46858i −0.808925 0.587911i \(-0.799950\pi\)
0.473732 0.880669i \(-0.342907\pi\)
\(620\) 7.88997e8 1.63837e9i 0.00533960 0.0110878i
\(621\) 7.90008e10 + 6.30010e10i 0.531209 + 0.423625i
\(622\) 3.47819e10 2.77377e10i 0.232376 0.185314i
\(623\) −1.08082e10 5.20496e9i −0.0717466 0.0345513i
\(624\) −1.68971e10 + 3.50872e10i −0.111449 + 0.231425i
\(625\) 9.50433e10 + 1.19181e11i 0.622876 + 0.781062i
\(626\) 7.84954e10 9.84302e10i 0.511148 0.640960i
\(627\) −4.58909e10 2.20999e10i −0.296931 0.142995i
\(628\) −6.59474e10 + 1.50521e10i −0.423994 + 0.0967738i
\(629\) −2.94082e11 + 6.71222e10i −1.87873 + 0.428809i
\(630\) −2.42322e8 1.93245e8i −0.00153826 0.00122672i
\(631\) 1.27001e11 + 2.63720e11i 0.801105 + 1.66351i 0.746857 + 0.664985i \(0.231562\pi\)
0.0542481 + 0.998527i \(0.482724\pi\)
\(632\) 2.73789e11 + 6.24905e10i 1.71612 + 0.391693i
\(633\) −1.34311e11 + 6.46806e10i −0.836557 + 0.402865i
\(634\) 5.51076e9 4.39468e9i 0.0341078 0.0272001i
\(635\) 8.99570e8 2.05321e8i 0.00553274 0.00126281i
\(636\) −4.19799e10 + 3.34779e10i −0.256574 + 0.204611i
\(637\) 4.17673e10 1.82994e11i 0.253676 1.11143i
\(638\) −2.21099e11 −1.33446
\(639\) 3.23431e9i 0.0193990i
\(640\) −1.22544e8 + 5.36899e8i −0.000730417 + 0.00320017i
\(641\) −4.31430e10 3.44054e10i −0.255551 0.203796i 0.487331 0.873217i \(-0.337970\pi\)
−0.742883 + 0.669422i \(0.766542\pi\)
\(642\) 1.03799e11 + 4.99869e10i 0.611016 + 0.294250i
\(643\) 1.07158e11 5.16044e10i 0.626873 0.301886i −0.0933452 0.995634i \(-0.529756\pi\)
0.720218 + 0.693748i \(0.244042\pi\)
\(644\) 1.48212e10i 0.0861666i
\(645\) 1.79626e9 + 1.17085e9i 0.0103784 + 0.00676490i
\(646\) −7.40917e10 −0.425441
\(647\) 2.33851e10 + 4.85596e10i 0.133451 + 0.277114i 0.956976 0.290166i \(-0.0937104\pi\)
−0.823526 + 0.567279i \(0.807996\pi\)
\(648\) −1.50757e10 + 3.13051e10i −0.0855024 + 0.177548i
\(649\) 9.11677e10 1.14321e11i 0.513881 0.644386i
\(650\) 1.56337e11 + 3.56830e10i 0.875810 + 0.199898i
\(651\) 4.95835e10 0.276066
\(652\) 1.17737e11i 0.651514i
\(653\) 2.23496e11 + 5.10114e10i 1.22918 + 0.280553i 0.787329 0.616534i \(-0.211464\pi\)
0.441855 + 0.897087i \(0.354321\pi\)
\(654\) 1.87134e10 + 2.34658e10i 0.102292 + 0.128270i
\(655\) 1.14537e9 + 5.01819e9i 0.00622272 + 0.0272635i
\(656\) 4.35848e10 + 5.46536e10i 0.235353 + 0.295123i
\(657\) 4.76919e10 + 9.90333e10i 0.255967 + 0.531520i
\(658\) 1.00049e10 4.38344e10i 0.0533715 0.233836i
\(659\) 6.89964e10 3.32269e10i 0.365834 0.176177i −0.241930 0.970294i \(-0.577781\pi\)
0.607765 + 0.794117i \(0.292066\pi\)
\(660\) −8.62672e8 + 1.08176e9i −0.00454642 + 0.00570104i
\(661\) 4.96246e10 + 2.17420e11i 0.259951 + 1.13892i 0.921303 + 0.388845i \(0.127126\pi\)
−0.661352 + 0.750075i \(0.730017\pi\)
\(662\) −4.82522e10 2.11407e11i −0.251238 1.10074i
\(663\) 1.07398e11 2.23013e11i 0.555828 1.15419i
\(664\) −2.56992e11 2.04944e11i −1.32205 1.05430i
\(665\) 3.01381e8 2.40343e8i 0.00154109 0.00122898i
\(666\) −8.72299e10 4.20077e10i −0.443372 0.213517i
\(667\) −8.22276e10 + 1.70747e11i −0.415446 + 0.862682i
\(668\) 7.51569e10 + 9.42438e10i 0.377453 + 0.473311i
\(669\) 4.16437e10 5.22195e10i 0.207895 0.260692i
\(670\) −1.27033e9 6.11760e8i −0.00630403 0.00303586i
\(671\) −3.39300e11 + 7.74431e10i −1.67376 + 0.382026i
\(672\) −3.24397e10 + 7.40415e9i −0.159074 + 0.0363076i
\(673\) 2.26918e11 + 1.80961e11i 1.10614 + 0.882116i 0.993759 0.111549i \(-0.0355812\pi\)
0.112380 + 0.993665i \(0.464153\pi\)
\(674\) −7.54587e10 1.56692e11i −0.365653 0.759287i
\(675\) 2.12015e11 + 4.83910e10i 1.02129 + 0.233104i
\(676\) −4.73382e10 + 2.27969e10i −0.226686 + 0.109166i
\(677\) 2.47053e11 1.97018e11i 1.17608 0.937890i 0.177149 0.984184i \(-0.443313\pi\)
0.998928 + 0.0462943i \(0.0147412\pi\)
\(678\) −1.65138e11 + 3.76917e10i −0.781500 + 0.178372i
\(679\) −8.17757e10 + 6.52140e10i −0.384721 + 0.306804i
\(680\) −1.39490e9 + 6.11144e9i −0.00652389 + 0.0285830i
\(681\) −1.68310e11 −0.782569
\(682\) 2.80830e11i 1.29809i
\(683\) 7.10956e10 3.11490e11i 0.326708 1.43140i −0.498656 0.866800i \(-0.666173\pi\)
0.825364 0.564601i \(-0.190970\pi\)
\(684\) 1.66811e10 + 1.33028e10i 0.0762081 + 0.0607739i
\(685\) 5.77420e9 + 2.78071e9i 0.0262258 + 0.0126297i
\(686\) −7.82024e10 + 3.76603e10i −0.353121 + 0.170054i
\(687\) 1.53906e11i 0.690923i
\(688\) 6.45410e10 2.13839e10i 0.288059 0.0954405i
\(689\) 2.83056e11 1.25602
\(690\) −5.73540e8 1.19097e9i −0.00253027 0.00525417i
\(691\) −3.68704e10 + 7.65622e10i −0.161721 + 0.335816i −0.966045 0.258374i \(-0.916813\pi\)
0.804324 + 0.594191i \(0.202528\pi\)
\(692\) −1.06728e11 + 1.33833e11i −0.465430 + 0.583630i
\(693\) 4.18674e10 + 9.55595e9i 0.181528 + 0.0414325i
\(694\) 1.62113e11 0.698841
\(695\) 9.31856e8i 0.00399402i
\(696\) −2.47062e11 5.63903e10i −1.05286 0.240307i
\(697\) −2.77024e11 3.47377e11i −1.17378 1.47187i
\(698\) 2.82346e10 + 1.23704e11i 0.118949 + 0.521149i
\(699\) −4.39619e9 5.51264e9i −0.0184148 0.0230914i
\(700\) 1.38398e10 + 2.87387e10i 0.0576420 + 0.119695i
\(701\) 1.73855e10 7.61706e10i 0.0719969 0.315439i −0.926087 0.377309i \(-0.876849\pi\)
0.998084 + 0.0618702i \(0.0197065\pi\)
\(702\) 2.06044e11 9.92253e10i 0.848419 0.408577i
\(703\) 7.50772e10 9.41439e10i 0.307388 0.385452i
\(704\) 6.25802e10 + 2.74182e11i 0.254769 + 1.11621i
\(705\) −8.00580e8 3.50757e9i −0.00324077 0.0141987i
\(706\) −3.63514e10 + 7.54845e10i −0.146320 + 0.303836i
\(707\) −3.10574e10 2.47674e10i −0.124304 0.0991295i
\(708\) 4.20697e10 3.35495e10i 0.167431 0.133522i
\(709\) −3.38270e11 1.62902e11i −1.33869 0.644677i −0.378907 0.925435i \(-0.623700\pi\)
−0.959779 + 0.280758i \(0.909414\pi\)
\(710\) −5.28440e7 + 1.09732e8i −0.000207952 + 0.000431816i
\(711\) −1.39620e11 1.75078e11i −0.546349 0.685100i
\(712\) −4.85540e10 + 6.08848e10i −0.188932 + 0.236913i
\(713\) −2.16875e11 1.04442e11i −0.839173 0.404125i
\(714\) −5.35029e10 + 1.22117e10i −0.205866 + 0.0469876i
\(715\) 7.11102e9 1.62304e9i 0.0272087 0.00621021i
\(716\) −9.85577e10 7.85972e10i −0.375006 0.299058i
\(717\) −1.70242e10 3.53512e10i −0.0644156 0.133760i
\(718\) −1.31110e11 2.99249e10i −0.493330 0.112599i
\(719\) −1.91084e10 + 9.20211e9i −0.0715004 + 0.0344328i −0.469292 0.883043i \(-0.655491\pi\)
0.397792 + 0.917476i \(0.369777\pi\)
\(720\) −6.14864e8 + 4.90338e8i −0.00228796 + 0.00182459i
\(721\) −8.22263e10 + 1.87676e10i −0.304277 + 0.0694493i
\(722\) −1.31119e11 + 1.04564e11i −0.482523 + 0.384799i
\(723\) 2.31070e10 1.01238e11i 0.0845649 0.370503i
\(724\) −1.11297e10 −0.0405067
\(725\) 4.07868e11i 1.47628i
\(726\) −1.68553e10 + 7.38478e10i −0.0606722 + 0.265822i
\(727\) 4.77490e10 + 3.80785e10i 0.170933 + 0.136315i 0.705220 0.708989i \(-0.250848\pi\)
−0.534287 + 0.845303i \(0.679420\pi\)
\(728\) 9.41292e10 + 4.53302e10i 0.335119 + 0.161385i
\(729\) 2.07314e11 9.98370e10i 0.734037 0.353493i
\(730\) 4.13916e9i 0.0145754i
\(731\) −4.10220e11 + 1.35915e11i −1.43664 + 0.475991i
\(732\) −1.28073e11 −0.446079
\(733\) 4.95604e10 + 1.02913e11i 0.171680 + 0.356497i 0.969000 0.247059i \(-0.0794642\pi\)
−0.797321 + 0.603556i \(0.793750\pi\)
\(734\) 9.39940e10 1.95181e11i 0.323829 0.672438i
\(735\) −2.07620e9 + 2.60348e9i −0.00711411 + 0.00892082i
\(736\) 1.57485e11 + 3.59450e10i 0.536696 + 0.122497i
\(737\) 1.95358e11 0.662158
\(738\) 1.42609e11i 0.480753i
\(739\) −4.22585e11 9.64523e10i −1.41689 0.323396i −0.555575 0.831466i \(-0.687502\pi\)
−0.861316 + 0.508070i \(0.830359\pi\)
\(740\) −2.03943e9 2.55736e9i −0.00680113 0.00852835i
\(741\) 2.19875e10 + 9.63334e10i 0.0729294 + 0.319524i
\(742\) −3.91278e10 4.90647e10i −0.129083 0.161865i
\(743\) 2.87613e10 + 5.97234e10i 0.0943741 + 0.195970i 0.942812 0.333325i \(-0.108171\pi\)
−0.848438 + 0.529295i \(0.822456\pi\)
\(744\) 7.16243e10 3.13806e11i 0.233759 1.02417i
\(745\) −5.15879e9 + 2.48434e9i −0.0167465 + 0.00806467i
\(746\) −1.02842e11 + 1.28960e11i −0.332060 + 0.416390i
\(747\) 5.83247e10 + 2.55537e11i 0.187314 + 0.820677i
\(748\) −6.20532e10 2.71873e11i −0.198225 0.868479i
\(749\) 5.24163e10 1.08844e11i 0.166548 0.345840i
\(750\) −4.44918e9 3.54811e9i −0.0140616 0.0112138i
\(751\) 1.55779e11 1.24230e11i 0.489723 0.390541i −0.347261 0.937769i \(-0.612888\pi\)
0.836984 + 0.547228i \(0.184317\pi\)
\(752\) −1.02787e11 4.94997e10i −0.321416 0.154786i
\(753\) −1.34699e10 + 2.79706e10i −0.0418972 + 0.0870004i
\(754\) 2.67426e11 + 3.35342e11i 0.827407 + 1.03754i