Properties

Label 43.6.e.a.4.8
Level 43
Weight 6
Character 43.4
Analytic conductor 6.897
Analytic rank 0
Dimension 108
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 43.e (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.89650425196\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(18\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 4.8
Character \(\chi\) \(=\) 43.4
Dual form 43.6.e.a.11.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.82630 + 2.29011i) q^{2} +(-7.90210 - 9.90892i) q^{3} +(5.21144 + 22.8328i) q^{4} +(-7.91873 - 3.81346i) q^{5} +37.1242 q^{6} +25.4167 q^{7} +(-146.258 - 70.4342i) q^{8} +(18.3291 - 80.3048i) q^{9} +O(q^{10})\) \(q+(-1.82630 + 2.29011i) q^{2} +(-7.90210 - 9.90892i) q^{3} +(5.21144 + 22.8328i) q^{4} +(-7.91873 - 3.81346i) q^{5} +37.1242 q^{6} +25.4167 q^{7} +(-146.258 - 70.4342i) q^{8} +(18.3291 - 80.3048i) q^{9} +(23.1953 - 11.1702i) q^{10} +(132.390 - 580.039i) q^{11} +(185.067 - 232.067i) q^{12} +(-615.567 - 296.441i) q^{13} +(-46.4186 + 58.2071i) q^{14} +(24.7873 + 108.600i) q^{15} +(-246.808 + 118.856i) q^{16} +(2062.99 - 993.486i) q^{17} +(150.433 + 188.637i) q^{18} +(-310.472 - 1360.27i) q^{19} +(45.8040 - 200.680i) q^{20} +(-200.845 - 251.852i) q^{21} +(1086.57 + 1362.52i) q^{22} +(-586.870 + 2571.24i) q^{23} +(457.820 + 2005.84i) q^{24} +(-1900.24 - 2382.83i) q^{25} +(1803.10 - 868.325i) q^{26} +(-3715.36 + 1789.22i) q^{27} +(132.458 + 580.335i) q^{28} +(-2299.64 + 2883.66i) q^{29} +(-293.976 - 141.572i) q^{30} +(-1052.61 + 1319.93i) q^{31} +(1334.48 - 5846.74i) q^{32} +(-6793.72 + 3271.68i) q^{33} +(-1492.46 + 6538.90i) q^{34} +(-201.268 - 96.9256i) q^{35} +1929.11 q^{36} +13410.6 q^{37} +(3682.18 + 1773.25i) q^{38} +(1926.86 + 8442.11i) q^{39} +(889.581 + 1115.50i) q^{40} +(-6778.62 + 8500.12i) q^{41} +943.575 q^{42} +(391.502 - 12118.4i) q^{43} +13933.9 q^{44} +(-451.382 + 566.015i) q^{45} +(-4816.64 - 6039.87i) q^{46} +(-2416.80 - 10588.7i) q^{47} +(3128.04 + 1506.38i) q^{48} -16161.0 q^{49} +8927.36 q^{50} +(-26146.4 - 12591.4i) q^{51} +(3560.60 - 15600.0i) q^{52} +(18869.9 - 9087.27i) q^{53} +(2687.85 - 11776.3i) q^{54} +(-3260.31 + 4088.31i) q^{55} +(-3717.40 - 1790.21i) q^{56} +(-11025.4 + 13825.4i) q^{57} +(-2404.06 - 10532.9i) q^{58} +(-2827.50 + 1361.65i) q^{59} +(-2350.47 + 1131.93i) q^{60} +(3714.22 + 4657.48i) q^{61} +(-1100.40 - 4821.18i) q^{62} +(465.864 - 2041.08i) q^{63} +(5487.05 + 6880.54i) q^{64} +(3744.04 + 4694.88i) q^{65} +(4914.87 - 21533.5i) q^{66} +(-8025.80 - 35163.3i) q^{67} +(33435.2 + 41926.5i) q^{68} +(30115.8 - 14503.0i) q^{69} +(589.547 - 283.911i) q^{70} +(9262.30 + 40580.8i) q^{71} +(-8336.98 + 10454.2i) q^{72} +(-27638.4 - 13310.0i) q^{73} +(-24491.8 + 30711.7i) q^{74} +(-8595.35 + 37658.7i) q^{75} +(29440.7 - 14177.9i) q^{76} +(3364.92 - 14742.7i) q^{77} +(-22852.4 - 11005.1i) q^{78} -37300.2 q^{79} +2407.66 q^{80} +(29054.7 + 13992.0i) q^{81} +(-7086.41 - 31047.6i) q^{82} +(-21696.7 - 27206.8i) q^{83} +(4703.80 - 5898.38i) q^{84} -20124.9 q^{85} +(27037.5 + 23028.4i) q^{86} +46746.0 q^{87} +(-60217.7 + 75510.6i) q^{88} +(76920.9 + 96455.7i) q^{89} +(-471.878 - 2067.43i) q^{90} +(-15645.7 - 7534.56i) q^{91} -61767.2 q^{92} +21396.9 q^{93} +(28663.1 + 13803.4i) q^{94} +(-2728.78 + 11955.6i) q^{95} +(-68480.1 + 32978.3i) q^{96} +(-4317.36 + 18915.6i) q^{97} +(29514.9 - 37010.5i) q^{98} +(-44153.3 - 21263.1i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108q - 3q^{2} - 9q^{3} - 331q^{4} + 67q^{5} - 20q^{6} - 624q^{7} + 589q^{8} - 579q^{9} + O(q^{10}) \) \( 108q - 3q^{2} - 9q^{3} - 331q^{4} + 67q^{5} - 20q^{6} - 624q^{7} + 589q^{8} - 579q^{9} + 627q^{10} - 220q^{11} - 663q^{12} - 1266q^{13} + 2353q^{14} + 1471q^{15} - 4583q^{16} - 1490q^{17} + 4728q^{18} + 946q^{19} + 14589q^{20} + 776q^{21} + 963q^{22} - 3018q^{23} - 17761q^{24} - 11939q^{25} + 1315q^{26} + 11277q^{27} - 10787q^{28} + 7283q^{29} - 55324q^{30} + 18676q^{31} - 10965q^{32} + 8776q^{33} + 23815q^{34} - 13340q^{35} + 136240q^{36} + 4994q^{37} + 39351q^{38} - 21251q^{39} + 14719q^{40} - 10519q^{41} - 199326q^{42} + 7026q^{43} - 180280q^{44} + 65996q^{45} - 5266q^{46} + 34102q^{47} + 69385q^{48} + 232252q^{49} + 17850q^{50} + 4116q^{51} + 32385q^{52} + 46774q^{53} - 30267q^{54} + 83643q^{55} - 231565q^{56} + 79511q^{57} - 222889q^{58} - 142070q^{59} + 42019q^{60} + 4715q^{61} - 150121q^{62} - 53547q^{63} + 163605q^{64} - 106653q^{65} - 56111q^{66} + 370962q^{67} - 579312q^{68} - 245635q^{69} - 91242q^{70} + 16922q^{71} + 586300q^{72} + 97842q^{73} + 535946q^{74} + 245407q^{75} + 942280q^{76} + 43381q^{77} + 173684q^{78} + 187210q^{79} - 752974q^{80} - 791814q^{81} + 387227q^{82} - 444471q^{83} - 688442q^{84} + 255432q^{85} - 244075q^{86} - 1418850q^{87} + 196837q^{88} + 408972q^{89} - 495568q^{90} - 25764q^{91} + 200120q^{92} + 692536q^{93} + 161449q^{94} + 406105q^{95} + 1096556q^{96} + 266261q^{97} + 527485q^{98} + 212416q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{2}{7}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.82630 + 2.29011i −0.322848 + 0.404839i −0.916597 0.399811i \(-0.869076\pi\)
0.593749 + 0.804650i \(0.297647\pi\)
\(3\) −7.90210 9.90892i −0.506920 0.635658i 0.460855 0.887476i \(-0.347543\pi\)
−0.967775 + 0.251818i \(0.918972\pi\)
\(4\) 5.21144 + 22.8328i 0.162857 + 0.713525i
\(5\) −7.91873 3.81346i −0.141655 0.0682172i 0.361714 0.932289i \(-0.382192\pi\)
−0.503368 + 0.864072i \(0.667906\pi\)
\(6\) 37.1242 0.420997
\(7\) 25.4167 0.196053 0.0980266 0.995184i \(-0.468747\pi\)
0.0980266 + 0.995184i \(0.468747\pi\)
\(8\) −146.258 70.4342i −0.807970 0.389098i
\(9\) 18.3291 80.3048i 0.0754282 0.330473i
\(10\) 23.1953 11.1702i 0.0733499 0.0353234i
\(11\) 132.390 580.039i 0.329893 1.44536i −0.489438 0.872038i \(-0.662798\pi\)
0.819332 0.573320i \(-0.194345\pi\)
\(12\) 185.067 232.067i 0.371002 0.465222i
\(13\) −615.567 296.441i −1.01022 0.486497i −0.145827 0.989310i \(-0.546584\pi\)
−0.864395 + 0.502813i \(0.832298\pi\)
\(14\) −46.4186 + 58.2071i −0.0632954 + 0.0793699i
\(15\) 24.7873 + 108.600i 0.0284447 + 0.124624i
\(16\) −246.808 + 118.856i −0.241023 + 0.116071i
\(17\) 2062.99 993.486i 1.73131 0.833757i 0.745375 0.666645i \(-0.232270\pi\)
0.985938 0.167112i \(-0.0534441\pi\)
\(18\) 150.433 + 188.637i 0.109436 + 0.137229i
\(19\) −310.472 1360.27i −0.197305 0.864451i −0.972532 0.232768i \(-0.925222\pi\)
0.775227 0.631683i \(-0.217636\pi\)
\(20\) 45.8040 200.680i 0.0256052 0.112184i
\(21\) −200.845 251.852i −0.0993834 0.124623i
\(22\) 1086.57 + 1362.52i 0.478631 + 0.600184i
\(23\) −586.870 + 2571.24i −0.231325 + 1.01350i 0.717218 + 0.696849i \(0.245415\pi\)
−0.948542 + 0.316651i \(0.897442\pi\)
\(24\) 457.820 + 2005.84i 0.162243 + 0.710834i
\(25\) −1900.24 2382.83i −0.608077 0.762505i
\(26\) 1803.10 868.325i 0.523101 0.251912i
\(27\) −3715.36 + 1789.22i −0.980824 + 0.472340i
\(28\) 132.458 + 580.335i 0.0319287 + 0.139889i
\(29\) −2299.64 + 2883.66i −0.507768 + 0.636721i −0.967962 0.251098i \(-0.919208\pi\)
0.460194 + 0.887818i \(0.347780\pi\)
\(30\) −293.976 141.572i −0.0596361 0.0287192i
\(31\) −1052.61 + 1319.93i −0.196726 + 0.246687i −0.870404 0.492339i \(-0.836142\pi\)
0.673678 + 0.739025i \(0.264714\pi\)
\(32\) 1334.48 5846.74i 0.230376 1.00934i
\(33\) −6793.72 + 3271.68i −1.08598 + 0.522981i
\(34\) −1492.46 + 6538.90i −0.221414 + 0.970079i
\(35\) −201.268 96.9256i −0.0277718 0.0133742i
\(36\) 1929.11 0.248085
\(37\) 13410.6 1.61043 0.805216 0.592981i \(-0.202049\pi\)
0.805216 + 0.592981i \(0.202049\pi\)
\(38\) 3682.18 + 1773.25i 0.413663 + 0.199210i
\(39\) 1926.86 + 8442.11i 0.202856 + 0.888771i
\(40\) 889.581 + 1115.50i 0.0879094 + 0.110235i
\(41\) −6778.62 + 8500.12i −0.629770 + 0.789706i −0.989682 0.143280i \(-0.954235\pi\)
0.359913 + 0.932986i \(0.382806\pi\)
\(42\) 943.575 0.0825378
\(43\) 391.502 12118.4i 0.0322896 0.999479i
\(44\) 13933.9 1.08502
\(45\) −451.382 + 566.015i −0.0332287 + 0.0416674i
\(46\) −4816.64 6039.87i −0.335621 0.420856i
\(47\) −2416.80 10588.7i −0.159587 0.699195i −0.989885 0.141875i \(-0.954687\pi\)
0.830298 0.557320i \(-0.188170\pi\)
\(48\) 3128.04 + 1506.38i 0.195961 + 0.0943698i
\(49\) −16161.0 −0.961563
\(50\) 8927.36 0.505008
\(51\) −26146.4 12591.4i −1.40762 0.677875i
\(52\) 3560.60 15600.0i 0.182606 0.800049i
\(53\) 18869.9 9087.27i 0.922742 0.444369i 0.0886924 0.996059i \(-0.471731\pi\)
0.834049 + 0.551690i \(0.186017\pi\)
\(54\) 2687.85 11776.3i 0.125436 0.549570i
\(55\) −3260.31 + 4088.31i −0.145329 + 0.182237i
\(56\) −3717.40 1790.21i −0.158405 0.0762839i
\(57\) −11025.4 + 13825.4i −0.449477 + 0.563626i
\(58\) −2404.06 10532.9i −0.0938373 0.411128i
\(59\) −2827.50 + 1361.65i −0.105748 + 0.0509256i −0.486010 0.873953i \(-0.661548\pi\)
0.380262 + 0.924879i \(0.375834\pi\)
\(60\) −2350.47 + 1131.93i −0.0842903 + 0.0405921i
\(61\) 3714.22 + 4657.48i 0.127803 + 0.160261i 0.841616 0.540076i \(-0.181605\pi\)
−0.713813 + 0.700337i \(0.753033\pi\)
\(62\) −1100.40 4821.18i −0.0363557 0.159285i
\(63\) 465.864 2041.08i 0.0147880 0.0647902i
\(64\) 5487.05 + 6880.54i 0.167451 + 0.209977i
\(65\) 3744.04 + 4694.88i 0.109915 + 0.137829i
\(66\) 4914.87 21533.5i 0.138884 0.608491i
\(67\) −8025.80 35163.3i −0.218425 0.956981i −0.958642 0.284614i \(-0.908135\pi\)
0.740218 0.672367i \(-0.234722\pi\)
\(68\) 33435.2 + 41926.5i 0.876864 + 1.09955i
\(69\) 30115.8 14503.0i 0.761502 0.366720i
\(70\) 589.547 283.911i 0.0143805 0.00692527i
\(71\) 9262.30 + 40580.8i 0.218058 + 0.955376i 0.958911 + 0.283708i \(0.0915647\pi\)
−0.740852 + 0.671668i \(0.765578\pi\)
\(72\) −8336.98 + 10454.2i −0.189530 + 0.237663i
\(73\) −27638.4 13310.0i −0.607024 0.292327i 0.105011 0.994471i \(-0.466512\pi\)
−0.712035 + 0.702144i \(0.752226\pi\)
\(74\) −24491.8 + 30711.7i −0.519925 + 0.651965i
\(75\) −8595.35 + 37658.7i −0.176445 + 0.773058i
\(76\) 29440.7 14177.9i 0.584675 0.281565i
\(77\) 3364.92 14742.7i 0.0646767 0.283367i
\(78\) −22852.4 11005.1i −0.425300 0.204814i
\(79\) −37300.2 −0.672424 −0.336212 0.941786i \(-0.609146\pi\)
−0.336212 + 0.941786i \(0.609146\pi\)
\(80\) 2407.66 0.0420601
\(81\) 29054.7 + 13992.0i 0.492044 + 0.236956i
\(82\) −7086.41 31047.6i −0.116384 0.509910i
\(83\) −21696.7 27206.8i −0.345700 0.433494i 0.578337 0.815798i \(-0.303702\pi\)
−0.924036 + 0.382304i \(0.875131\pi\)
\(84\) 4703.80 5898.38i 0.0727362 0.0912083i
\(85\) −20124.9 −0.302125
\(86\) 27037.5 + 23028.4i 0.394203 + 0.335752i
\(87\) 46746.0 0.662134
\(88\) −60217.7 + 75510.6i −0.828929 + 1.03944i
\(89\) 76920.9 + 96455.7i 1.02936 + 1.29078i 0.955965 + 0.293480i \(0.0948133\pi\)
0.0733992 + 0.997303i \(0.476615\pi\)
\(90\) −471.878 2067.43i −0.00614078 0.0269045i
\(91\) −15645.7 7534.56i −0.198057 0.0953794i
\(92\) −61767.2 −0.760831
\(93\) 21396.9 0.256533
\(94\) 28663.1 + 13803.4i 0.334583 + 0.161127i
\(95\) −2728.78 + 11955.6i −0.0310213 + 0.135913i
\(96\) −68480.1 + 32978.3i −0.758379 + 0.365216i
\(97\) −4317.36 + 18915.6i −0.0465896 + 0.204122i −0.992866 0.119237i \(-0.961955\pi\)
0.946276 + 0.323359i \(0.104812\pi\)
\(98\) 29514.9 37010.5i 0.310439 0.389278i
\(99\) −44153.3 21263.1i −0.452768 0.218041i
\(100\) 44503.7 55805.8i 0.445037 0.558058i
\(101\) 5067.62 + 22202.7i 0.0494311 + 0.216572i 0.993611 0.112858i \(-0.0360005\pi\)
−0.944180 + 0.329430i \(0.893143\pi\)
\(102\) 76587.0 36882.4i 0.728878 0.351009i
\(103\) −40426.3 + 19468.3i −0.375466 + 0.180815i −0.612093 0.790785i \(-0.709672\pi\)
0.236627 + 0.971601i \(0.423958\pi\)
\(104\) 69152.0 + 86713.9i 0.626934 + 0.786150i
\(105\) 630.012 + 2760.26i 0.00557668 + 0.0244330i
\(106\) −13651.3 + 59810.3i −0.118008 + 0.517025i
\(107\) −58128.0 72890.2i −0.490824 0.615474i 0.473308 0.880897i \(-0.343060\pi\)
−0.964132 + 0.265423i \(0.914488\pi\)
\(108\) −60215.3 75507.6i −0.496761 0.622919i
\(109\) −27109.7 + 118775.i −0.218554 + 0.957546i 0.739994 + 0.672614i \(0.234828\pi\)
−0.958548 + 0.284932i \(0.908029\pi\)
\(110\) −3408.35 14933.0i −0.0268573 0.117670i
\(111\) −105972. 132884.i −0.816361 1.02368i
\(112\) −6273.04 + 3020.94i −0.0472534 + 0.0227560i
\(113\) 235145. 113240.i 1.73237 0.834264i 0.746786 0.665065i \(-0.231596\pi\)
0.985582 0.169199i \(-0.0541182\pi\)
\(114\) −11526.0 50498.9i −0.0830649 0.363931i
\(115\) 14452.6 18123.0i 0.101906 0.127787i
\(116\) −77826.5 37479.3i −0.537010 0.258610i
\(117\) −35088.4 + 43999.5i −0.236973 + 0.297155i
\(118\) 2045.54 8962.09i 0.0135239 0.0592522i
\(119\) 52434.5 25251.1i 0.339430 0.163461i
\(120\) 4023.83 17629.6i 0.0255086 0.111761i
\(121\) −173816. 83705.3i −1.07926 0.519744i
\(122\) −17449.4 −0.106141
\(123\) 137792. 0.821226
\(124\) −35623.3 17155.3i −0.208056 0.100194i
\(125\) 12072.4 + 52892.9i 0.0691067 + 0.302776i
\(126\) 3823.50 + 4794.52i 0.0214553 + 0.0269041i
\(127\) 201021. 252072.i 1.10594 1.38681i 0.191789 0.981436i \(-0.438571\pi\)
0.914152 0.405371i \(-0.132858\pi\)
\(128\) 166129. 0.896232
\(129\) −123174. + 91881.3i −0.651694 + 0.486131i
\(130\) −17589.6 −0.0912844
\(131\) 198789. 249273.i 1.01208 1.26910i 0.0493054 0.998784i \(-0.484299\pi\)
0.962771 0.270320i \(-0.0871293\pi\)
\(132\) −110107. 138069.i −0.550021 0.689704i
\(133\) −7891.18 34573.5i −0.0386824 0.169479i
\(134\) 95185.6 + 45839.0i 0.457941 + 0.220533i
\(135\) 36244.0 0.171160
\(136\) −371705. −1.72326
\(137\) 206025. + 99216.3i 0.937816 + 0.451629i 0.839398 0.543517i \(-0.182908\pi\)
0.0984180 + 0.995145i \(0.468622\pi\)
\(138\) −21787.1 + 95455.4i −0.0973870 + 0.426680i
\(139\) 52150.8 25114.5i 0.228941 0.110252i −0.315897 0.948794i \(-0.602305\pi\)
0.544838 + 0.838541i \(0.316591\pi\)
\(140\) 1164.19 5100.64i 0.00501999 0.0219940i
\(141\) −85824.8 + 107621.i −0.363551 + 0.455878i
\(142\) −109850. 52901.1i −0.457173 0.220163i
\(143\) −253442. + 317807.i −1.03643 + 1.29964i
\(144\) 5020.99 + 21998.4i 0.0201782 + 0.0884066i
\(145\) 29207.0 14065.3i 0.115363 0.0555559i
\(146\) 80957.4 38987.0i 0.314322 0.151369i
\(147\) 127706. + 160138.i 0.487436 + 0.611225i
\(148\) 69888.3 + 306201.i 0.262271 + 1.14908i
\(149\) 20413.3 89436.6i 0.0753265 0.330027i −0.923198 0.384324i \(-0.874435\pi\)
0.998525 + 0.0542968i \(0.0172917\pi\)
\(150\) −70544.9 88460.6i −0.255999 0.321012i
\(151\) 218287. + 273723.i 0.779085 + 0.976942i 0.999999 + 0.00164882i \(0.000524836\pi\)
−0.220913 + 0.975293i \(0.570904\pi\)
\(152\) −50400.3 + 220818.i −0.176939 + 0.775221i
\(153\) −41969.0 183878.i −0.144944 0.635040i
\(154\) 27617.0 + 34630.6i 0.0938372 + 0.117668i
\(155\) 13368.8 6438.08i 0.0446954 0.0215242i
\(156\) −182715. + 87991.1i −0.601124 + 0.289486i
\(157\) 7383.28 + 32348.3i 0.0239056 + 0.104737i 0.985473 0.169831i \(-0.0543222\pi\)
−0.961568 + 0.274568i \(0.911465\pi\)
\(158\) 68121.5 85421.6i 0.217091 0.272223i
\(159\) −239157. 115172.i −0.750223 0.361288i
\(160\) −32863.7 + 41209.8i −0.101488 + 0.127262i
\(161\) −14916.3 + 65352.5i −0.0453520 + 0.198700i
\(162\) −85105.9 + 40984.9i −0.254784 + 0.122698i
\(163\) −64026.7 + 280519.i −0.188752 + 0.826977i 0.788523 + 0.615005i \(0.210846\pi\)
−0.977276 + 0.211973i \(0.932011\pi\)
\(164\) −229408. 110477.i −0.666038 0.320747i
\(165\) 66274.0 0.189511
\(166\) 101932. 0.287104
\(167\) −139344. 67104.7i −0.386632 0.186192i 0.230462 0.973081i \(-0.425976\pi\)
−0.617095 + 0.786889i \(0.711690\pi\)
\(168\) 11636.3 + 50981.8i 0.0318083 + 0.139361i
\(169\) 59547.6 + 74670.4i 0.160379 + 0.201109i
\(170\) 36754.2 46088.3i 0.0975404 0.122312i
\(171\) −114927. −0.300560
\(172\) 278737. 54215.1i 0.718412 0.139733i
\(173\) 502364. 1.27616 0.638078 0.769972i \(-0.279730\pi\)
0.638078 + 0.769972i \(0.279730\pi\)
\(174\) −85372.4 + 107054.i −0.213769 + 0.268057i
\(175\) −48297.9 60563.6i −0.119216 0.149492i
\(176\) 36266.4 + 158894.i 0.0882517 + 0.386656i
\(177\) 35835.7 + 17257.6i 0.0859771 + 0.0414044i
\(178\) −361375. −0.854887
\(179\) 131316. 0.306327 0.153163 0.988201i \(-0.451054\pi\)
0.153163 + 0.988201i \(0.451054\pi\)
\(180\) −15276.1 7356.57i −0.0351423 0.0169236i
\(181\) −144863. + 634685.i −0.328670 + 1.44000i 0.492998 + 0.870031i \(0.335901\pi\)
−0.821668 + 0.569967i \(0.806956\pi\)
\(182\) 45828.8 22070.0i 0.102556 0.0493882i
\(183\) 16800.5 73607.8i 0.0370847 0.162479i
\(184\) 266938. 334730.i 0.581254 0.728869i
\(185\) −106195. 51140.6i −0.228125 0.109859i
\(186\) −39077.2 + 49001.3i −0.0828211 + 0.103854i
\(187\) −303140. 1.32814e6i −0.633927 2.77742i
\(188\) 229175. 110365.i 0.472903 0.227738i
\(189\) −94432.1 + 45476.1i −0.192294 + 0.0926038i
\(190\) −22396.0 28083.7i −0.0450077 0.0564379i
\(191\) −15616.0 68418.3i −0.0309733 0.135703i 0.957077 0.289833i \(-0.0935997\pi\)
−0.988051 + 0.154130i \(0.950743\pi\)
\(192\) 24819.5 108741.i 0.0485893 0.212883i
\(193\) 439805. + 551498.i 0.849898 + 1.06574i 0.997060 + 0.0766258i \(0.0244147\pi\)
−0.147162 + 0.989112i \(0.547014\pi\)
\(194\) −35434.0 44432.8i −0.0675952 0.0847617i
\(195\) 16935.4 74198.8i 0.0318940 0.139737i
\(196\) −84222.0 369001.i −0.156598 0.686100i
\(197\) −67095.4 84134.9i −0.123176 0.154458i 0.716420 0.697670i \(-0.245780\pi\)
−0.839596 + 0.543211i \(0.817208\pi\)
\(198\) 129332. 62283.2i 0.234447 0.112904i
\(199\) 394668. 190062.i 0.706479 0.340222i −0.0459062 0.998946i \(-0.514618\pi\)
0.752385 + 0.658723i \(0.228903\pi\)
\(200\) 110093. + 482350.i 0.194619 + 0.852682i
\(201\) −285010. + 357391.i −0.497588 + 0.623956i
\(202\) −60101.7 28943.5i −0.103635 0.0499082i
\(203\) −58449.3 + 73293.1i −0.0995496 + 0.124831i
\(204\) 151237. 662614.i 0.254439 1.11477i
\(205\) 86092.9 41460.2i 0.143081 0.0689043i
\(206\) 29246.2 128136.i 0.0480176 0.210379i
\(207\) 195727. + 94256.9i 0.317486 + 0.152893i
\(208\) 187161. 0.299955
\(209\) −830111. −1.31453
\(210\) −7471.91 3598.28i −0.0116919 0.00563050i
\(211\) −125787. 551107.i −0.194504 0.852177i −0.974140 0.225945i \(-0.927453\pi\)
0.779636 0.626233i \(-0.215404\pi\)
\(212\) 305827. + 383495.i 0.467344 + 0.586031i
\(213\) 328920. 412453.i 0.496754 0.622910i
\(214\) 273086. 0.407629
\(215\) −49313.2 + 94469.2i −0.0727556 + 0.139378i
\(216\) 669424. 0.976263
\(217\) −26753.8 + 33548.2i −0.0385688 + 0.0483638i
\(218\) −222498. 279004.i −0.317092 0.397621i
\(219\) 86514.2 + 379043.i 0.121893 + 0.534046i
\(220\) −110338. 53136.2i −0.153699 0.0740174i
\(221\) −1.56442e6 −2.15463
\(222\) 497856. 0.677987
\(223\) −1.07954e6 519879.i −1.45370 0.700067i −0.470471 0.882416i \(-0.655916\pi\)
−0.983234 + 0.182348i \(0.941630\pi\)
\(224\) 33918.1 148605.i 0.0451660 0.197885i
\(225\) −226182. + 108924.i −0.297853 + 0.143439i
\(226\) −170114. + 745320.i −0.221549 + 0.970670i
\(227\) 262227. 328822.i 0.337763 0.423542i −0.583723 0.811953i \(-0.698405\pi\)
0.921486 + 0.388411i \(0.126976\pi\)
\(228\) −373131. 179691.i −0.475362 0.228922i
\(229\) 224107. 281021.i 0.282401 0.354119i −0.620318 0.784350i \(-0.712996\pi\)
0.902719 + 0.430231i \(0.141568\pi\)
\(230\) 15108.8 + 66196.1i 0.0188327 + 0.0825112i
\(231\) −172674. + 83155.4i −0.212910 + 0.102532i
\(232\) 539450. 259785.i 0.658008 0.316880i
\(233\) 468941. + 588034.i 0.565885 + 0.709598i 0.979634 0.200793i \(-0.0643520\pi\)
−0.413748 + 0.910391i \(0.635781\pi\)
\(234\) −36681.7 160713.i −0.0437935 0.191872i
\(235\) −21241.6 + 93065.4i −0.0250910 + 0.109931i
\(236\) −45825.7 57463.6i −0.0535586 0.0671603i
\(237\) 294750. + 369605.i 0.340865 + 0.427432i
\(238\) −37933.4 + 166197.i −0.0434090 + 0.190187i
\(239\) −186940. 819039.i −0.211694 0.927492i −0.963416 0.268011i \(-0.913633\pi\)
0.751722 0.659480i \(-0.229224\pi\)
\(240\) −19025.6 23857.3i −0.0213211 0.0267358i
\(241\) −697999. + 336138.i −0.774127 + 0.372800i −0.778867 0.627189i \(-0.784205\pi\)
0.00474048 + 0.999989i \(0.498491\pi\)
\(242\) 509135. 245187.i 0.558849 0.269128i
\(243\) 132034. + 578477.i 0.143440 + 0.628450i
\(244\) −86987.0 + 109078.i −0.0935362 + 0.117291i
\(245\) 127975. + 61629.3i 0.136210 + 0.0655952i
\(246\) −251651. + 315560.i −0.265131 + 0.332464i
\(247\) −212123. + 929373.i −0.221231 + 0.969276i
\(248\) 246920. 118911.i 0.254934 0.122770i
\(249\) −98140.7 + 429983.i −0.100312 + 0.439493i
\(250\) −143179. 68951.2i −0.144887 0.0697737i
\(251\) −229880. −0.230312 −0.115156 0.993347i \(-0.536737\pi\)
−0.115156 + 0.993347i \(0.536737\pi\)
\(252\) 49031.5 0.0486378
\(253\) 1.41373e6 + 680814.i 1.38856 + 0.668694i
\(254\) 210149. + 920722.i 0.204382 + 0.895456i
\(255\) 159029. + 199416.i 0.153153 + 0.192048i
\(256\) −478988. + 600631.i −0.456798 + 0.572807i
\(257\) −415353. −0.392270 −0.196135 0.980577i \(-0.562839\pi\)
−0.196135 + 0.980577i \(0.562839\pi\)
\(258\) 14534.2 449885.i 0.0135938 0.420777i
\(259\) 340852. 0.315731
\(260\) −87685.4 + 109954.i −0.0804441 + 0.100874i
\(261\) 189422. + 237527.i 0.172119 + 0.215830i
\(262\) 207815. + 910497.i 0.187035 + 0.819455i
\(263\) 144133. + 69411.0i 0.128492 + 0.0618783i 0.497025 0.867736i \(-0.334426\pi\)
−0.368533 + 0.929615i \(0.620140\pi\)
\(264\) 1.22407e6 1.08093
\(265\) −184080. −0.161024
\(266\) 93589.0 + 45070.1i 0.0811000 + 0.0390557i
\(267\) 347936. 1.52441e6i 0.298690 1.30865i
\(268\) 761052. 366503.i 0.647258 0.311703i
\(269\) 494777. 2.16776e6i 0.416897 1.82655i −0.132752 0.991149i \(-0.542381\pi\)
0.549649 0.835396i \(-0.314762\pi\)
\(270\) −66192.6 + 83002.9i −0.0552586 + 0.0692922i
\(271\) −1.22399e6 589441.i −1.01240 0.487547i −0.147273 0.989096i \(-0.547050\pi\)
−0.865130 + 0.501548i \(0.832764\pi\)
\(272\) −391081. + 490400.i −0.320512 + 0.401910i
\(273\) 48974.4 + 214571.i 0.0397706 + 0.174246i
\(274\) −603480. + 290621.i −0.485609 + 0.233857i
\(275\) −1.63371e6 + 786751.i −1.30269 + 0.627344i
\(276\) 488090. + 612046.i 0.385680 + 0.483628i
\(277\) 518076. + 2.26984e6i 0.405690 + 1.77744i 0.603666 + 0.797237i \(0.293706\pi\)
−0.197976 + 0.980207i \(0.563437\pi\)
\(278\) −37728.2 + 165298.i −0.0292789 + 0.128279i
\(279\) 86703.3 + 108722.i 0.0666845 + 0.0836198i
\(280\) 22610.2 + 28352.3i 0.0172349 + 0.0216119i
\(281\) −267754. + 1.17311e6i −0.202288 + 0.886282i 0.767251 + 0.641347i \(0.221624\pi\)
−0.969539 + 0.244936i \(0.921233\pi\)
\(282\) −89721.8 393097.i −0.0671855 0.294359i
\(283\) −1.05238e6 1.31964e6i −0.781096 0.979464i −0.999993 0.00371585i \(-0.998817\pi\)
0.218897 0.975748i \(-0.429754\pi\)
\(284\) −878303. + 422968.i −0.646173 + 0.311180i
\(285\) 140030. 67434.8i 0.102119 0.0491782i
\(286\) −264950. 1.16082e6i −0.191536 0.839172i
\(287\) −172290. + 216045.i −0.123468 + 0.154824i
\(288\) −445062. 214330.i −0.316183 0.152266i
\(289\) 2.38366e6 2.98902e6i 1.67881 2.10516i
\(290\) −21129.6 + 92574.8i −0.0147535 + 0.0646395i
\(291\) 221549. 106692.i 0.153369 0.0738587i
\(292\) 159868. 700426.i 0.109725 0.480735i
\(293\) −1.14571e6 551747.i −0.779664 0.375466i 0.00133487 0.999999i \(-0.499575\pi\)
−0.780999 + 0.624533i \(0.785289\pi\)
\(294\) −599964. −0.404815
\(295\) 27582.8 0.0184537
\(296\) −1.96140e6 944562.i −1.30118 0.626616i
\(297\) 545942. + 2.39193e6i 0.359133 + 1.57346i
\(298\) 167539. + 210087.i 0.109289 + 0.137044i
\(299\) 1.12348e6 1.40880e6i 0.726754 0.911321i
\(300\) −904648. −0.580332
\(301\) 9950.70 308009.i 0.00633049 0.195951i
\(302\) −1.02551e6 −0.647030
\(303\) 179960. 225663.i 0.112608 0.141206i
\(304\) 238304. + 298823.i 0.147893 + 0.185452i
\(305\) −11650.8 51045.3i −0.00717142 0.0314200i
\(306\) 497750. + 239704.i 0.303884 + 0.146343i
\(307\) 603066. 0.365190 0.182595 0.983188i \(-0.441550\pi\)
0.182595 + 0.983188i \(0.441550\pi\)
\(308\) 354153. 0.212723
\(309\) 512363. + 246741.i 0.305268 + 0.147009i
\(310\) −9671.58 + 42374.0i −0.00571601 + 0.0250435i
\(311\) −522737. + 251737.i −0.306466 + 0.147586i −0.580795 0.814050i \(-0.697258\pi\)
0.274330 + 0.961636i \(0.411544\pi\)
\(312\) 312795. 1.37044e6i 0.181917 0.797031i
\(313\) −140322. + 175958.i −0.0809589 + 0.101519i −0.820661 0.571415i \(-0.806395\pi\)
0.739703 + 0.672934i \(0.234966\pi\)
\(314\) −87565.3 42169.2i −0.0501196 0.0241363i
\(315\) −11472.6 + 14386.2i −0.00651459 + 0.00816904i
\(316\) −194388. 851668.i −0.109509 0.479792i
\(317\) 2.41001e6 1.16060e6i 1.34701 0.648685i 0.385307 0.922788i \(-0.374095\pi\)
0.961700 + 0.274104i \(0.0883812\pi\)
\(318\) 700530. 337357.i 0.388471 0.187078i
\(319\) 1.36818e6 + 1.71565e6i 0.752780 + 0.943956i
\(320\) −17211.8 75409.7i −0.00939617 0.0411673i
\(321\) −262930. + 1.15197e6i −0.142422 + 0.623993i
\(322\) −122423. 153514.i −0.0657996 0.0825101i
\(323\) −1.99191e6 2.49778e6i −1.06234 1.33213i
\(324\) −168060. + 736318.i −0.0889409 + 0.389675i
\(325\) 463357. + 2.03010e6i 0.243337 + 1.06613i
\(326\) −525488. 658942.i −0.273854 0.343402i
\(327\) 1.39116e6 669946.i 0.719461 0.346474i
\(328\) 1.59013e6 765765.i 0.816107 0.393017i
\(329\) −61427.1 269130.i −0.0312875 0.137079i
\(330\) −121037. + 151775.i −0.0611831 + 0.0767212i
\(331\) 702014. + 338072.i 0.352189 + 0.169605i 0.601610 0.798790i \(-0.294526\pi\)
−0.249421 + 0.968395i \(0.580240\pi\)
\(332\) 508137. 637184.i 0.253009 0.317263i
\(333\) 245803. 1.07693e6i 0.121472 0.532204i
\(334\) 408162. 196561.i 0.200201 0.0964118i
\(335\) −70539.8 + 309055.i −0.0343417 + 0.150461i
\(336\) 79504.5 + 38287.3i 0.0384188 + 0.0185015i
\(337\) 1.60928e6 0.771893 0.385947 0.922521i \(-0.373875\pi\)
0.385947 + 0.922521i \(0.373875\pi\)
\(338\) −279756. −0.133195
\(339\) −2.98023e6 1.43520e6i −1.40848 0.678287i
\(340\) −104880. 459508.i −0.0492033 0.215574i
\(341\) 626254. + 785298.i 0.291652 + 0.365720i
\(342\) 209891. 263195.i 0.0970351 0.121678i
\(343\) −837938. −0.384571
\(344\) −910809. + 1.74484e6i −0.414984 + 0.794985i
\(345\) −293785. −0.132887
\(346\) −917470. + 1.15047e6i −0.412004 + 0.516637i
\(347\) −162609. 203905.i −0.0724970 0.0909083i 0.744261 0.667889i \(-0.232802\pi\)
−0.816758 + 0.576981i \(0.804231\pi\)
\(348\) 243614. + 1.06734e6i 0.107834 + 0.472449i
\(349\) −2.01675e6 971217.i −0.886317 0.426828i −0.0653893 0.997860i \(-0.520829\pi\)
−0.820928 + 0.571032i \(0.806543\pi\)
\(350\) 226904. 0.0990085
\(351\) 2.81745e6 1.22064
\(352\) −3.21466e6 1.54810e6i −1.38286 0.665951i
\(353\) 186740. 818162.i 0.0797629 0.349464i −0.919260 0.393650i \(-0.871212\pi\)
0.999023 + 0.0441859i \(0.0140694\pi\)
\(354\) −104969. + 50550.3i −0.0445196 + 0.0214395i
\(355\) 81407.5 356670.i 0.0342842 0.150209i
\(356\) −1.80149e6 + 2.25899e6i −0.753366 + 0.944691i
\(357\) −664554. 320033.i −0.275969 0.132900i
\(358\) −239823. + 300729.i −0.0988970 + 0.124013i
\(359\) 496689. + 2.17614e6i 0.203399 + 0.891149i 0.968849 + 0.247653i \(0.0796594\pi\)
−0.765450 + 0.643496i \(0.777483\pi\)
\(360\) 105885. 50991.6i 0.0430605 0.0207368i
\(361\) 476952. 229688.i 0.192622 0.0927621i
\(362\) −1.18894e6 1.49088e6i −0.476856 0.597959i
\(363\) 544081. + 2.38378e6i 0.216719 + 0.949508i
\(364\) 90498.7 396501.i 0.0358005 0.156852i
\(365\) 168104. + 210796.i 0.0660459 + 0.0828190i
\(366\) 137887. + 172905.i 0.0538049 + 0.0674692i
\(367\) −507348. + 2.22284e6i −0.196626 + 0.861474i 0.776301 + 0.630362i \(0.217094\pi\)
−0.972927 + 0.231112i \(0.925764\pi\)
\(368\) −160765. 704357.i −0.0618830 0.271127i
\(369\) 558355. + 700155.i 0.213474 + 0.267688i
\(370\) 311061. 149799.i 0.118125 0.0568860i
\(371\) 479611. 230968.i 0.180907 0.0871200i
\(372\) 111509. + 488551.i 0.0417783 + 0.183043i
\(373\) −909792. + 1.14084e6i −0.338587 + 0.424574i −0.921752 0.387779i \(-0.873242\pi\)
0.583166 + 0.812353i \(0.301814\pi\)
\(374\) 3.59523e6 + 1.73137e6i 1.32907 + 0.640045i
\(375\) 428713. 537590.i 0.157431 0.197412i
\(376\) −392330. + 1.71891e6i −0.143114 + 0.627023i
\(377\) 2.27042e6 1.09338e6i 0.822721 0.396202i
\(378\) 68316.4 299314.i 0.0245921 0.107745i
\(379\) 3.22182e6 + 1.55154e6i 1.15213 + 0.554838i 0.909674 0.415324i \(-0.136332\pi\)
0.242459 + 0.970162i \(0.422046\pi\)
\(380\) −287200. −0.102029
\(381\) −4.08626e6 −1.44216
\(382\) 185205. + 89190.2i 0.0649374 + 0.0312722i
\(383\) 140166. + 614109.i 0.0488256 + 0.213919i 0.993456 0.114218i \(-0.0364363\pi\)
−0.944630 + 0.328137i \(0.893579\pi\)
\(384\) −1.31277e6 1.64616e6i −0.454318 0.569697i
\(385\) −82866.5 + 103911.i −0.0284923 + 0.0357282i
\(386\) −2.06621e6 −0.705840
\(387\) −965989. 253558.i −0.327865 0.0860597i
\(388\) −454396. −0.153234
\(389\) −2.45278e6 + 3.07568e6i −0.821834 + 1.03055i 0.177092 + 0.984194i \(0.443331\pi\)
−0.998925 + 0.0463523i \(0.985240\pi\)
\(390\) 138994. + 174294.i 0.0462739 + 0.0580256i
\(391\) 1.34379e6 + 5.88751e6i 0.444517 + 1.94755i
\(392\) 2.36368e6 + 1.13829e6i 0.776914 + 0.374142i
\(393\) −4.04087e6 −1.31976
\(394\) 315215. 0.102298
\(395\) 295370. + 142243.i 0.0952519 + 0.0458709i
\(396\) 255394. 1.11896e6i 0.0818415 0.358571i
\(397\) 3.48345e6 1.67754e6i 1.10926 0.534192i 0.212702 0.977117i \(-0.431774\pi\)
0.896558 + 0.442925i \(0.146059\pi\)
\(398\) −285520. + 1.25095e6i −0.0903502 + 0.395850i
\(399\) −280230. + 351397.i −0.0881214 + 0.110501i
\(400\) 752209. + 362245.i 0.235065 + 0.113201i
\(401\) 9699.23 12162.5i 0.00301215 0.00377712i −0.780323 0.625377i \(-0.784945\pi\)
0.783335 + 0.621599i \(0.213517\pi\)
\(402\) −297952. 1.30541e6i −0.0919561 0.402886i
\(403\) 1.03923e6 500467.i 0.318750 0.153502i
\(404\) −480540. + 231416.i −0.146479 + 0.0705407i
\(405\) −176718. 221598.i −0.0535357 0.0671317i
\(406\) −61103.3 267711.i −0.0183971 0.0806030i
\(407\) 1.77542e6 7.77864e6i 0.531271 2.32765i
\(408\) 2.93725e6 + 3.68320e6i 0.873556 + 1.09540i
\(409\) 364285. + 456799.i 0.107680 + 0.135026i 0.832751 0.553648i \(-0.186765\pi\)
−0.725071 + 0.688674i \(0.758193\pi\)
\(410\) −62283.4 + 272881.i −0.0182984 + 0.0801704i
\(411\) −644902. 2.82550e6i −0.188317 0.825070i
\(412\) −655195. 821588.i −0.190164 0.238458i
\(413\) −71865.7 + 34608.7i −0.0207323 + 0.00998413i
\(414\) −573315. + 276094.i −0.164397 + 0.0791692i
\(415\) 68058.4 + 298183.i 0.0193982 + 0.0849891i
\(416\) −2.55468e6 + 3.20346e6i −0.723774 + 0.907583i
\(417\) −660959. 318301.i −0.186138 0.0896392i
\(418\) 1.51604e6 1.90105e6i 0.424394 0.532173i
\(419\) 792346. 3.47149e6i 0.220485 0.966009i −0.736629 0.676297i \(-0.763583\pi\)
0.957114 0.289712i \(-0.0935594\pi\)
\(420\) −59741.3 + 28769.9i −0.0165254 + 0.00795821i
\(421\) 986542. 4.32232e6i 0.271275 1.18854i −0.637234 0.770670i \(-0.719921\pi\)
0.908509 0.417865i \(-0.137221\pi\)
\(422\) 1.49182e6 + 718424.i 0.407789 + 0.196381i
\(423\) −894622. −0.243102
\(424\) −3.39993e6 −0.918450
\(425\) −6.28749e6 3.02790e6i −1.68852 0.813146i
\(426\) 343855. + 1.50653e6i 0.0918019 + 0.402210i
\(427\) 94403.2 + 118378.i 0.0250563 + 0.0314196i
\(428\) 1.36136e6 1.70709e6i 0.359222 0.450450i
\(429\) 5.15185e6 1.35151
\(430\) −126284. 285462.i −0.0329366 0.0744522i
\(431\) −2.65776e6 −0.689165 −0.344583 0.938756i \(-0.611980\pi\)
−0.344583 + 0.938756i \(0.611980\pi\)
\(432\) 704319. 883188.i 0.181577 0.227690i
\(433\) −4.44794e6 5.57754e6i −1.14009 1.42963i −0.886749 0.462251i \(-0.847042\pi\)
−0.253341 0.967377i \(-0.581530\pi\)
\(434\) −27968.6 122538.i −0.00712765 0.0312283i
\(435\) −370169. 178264.i −0.0937943 0.0451690i
\(436\) −2.85325e6 −0.718826
\(437\) 3.67979e6 0.921763
\(438\) −1.02605e6 494121.i −0.255555 0.123069i
\(439\) 510586. 2.23702e6i 0.126447 0.553999i −0.871526 0.490350i \(-0.836869\pi\)
0.997972 0.0636491i \(-0.0202738\pi\)
\(440\) 764804. 368310.i 0.188330 0.0906947i
\(441\) −296216. + 1.29781e6i −0.0725290 + 0.317770i
\(442\) 2.85711e6 3.58270e6i 0.695618 0.872278i
\(443\) 1.07382e6 + 517126.i 0.259970 + 0.125195i 0.559330 0.828945i \(-0.311059\pi\)
−0.299359 + 0.954140i \(0.596773\pi\)
\(444\) 2.48185e6 3.11215e6i 0.597474 0.749209i
\(445\) −241286. 1.05714e6i −0.0577606 0.253066i
\(446\) 3.16215e6 1.52281e6i 0.752740 0.362500i
\(447\) −1.04753e6 + 504463.i −0.247969 + 0.119415i
\(448\) 139463. + 174881.i 0.0328294 + 0.0411668i
\(449\) 1.00237e6 + 4.39167e6i 0.234646 + 1.02805i 0.945733 + 0.324945i \(0.105346\pi\)
−0.711087 + 0.703104i \(0.751797\pi\)
\(450\) 163630. 716911.i 0.0380919 0.166891i
\(451\) 4.03298e6 + 5.05719e6i 0.933651 + 1.17076i
\(452\) 3.81103e6 + 4.77888e6i 0.877398 + 1.10022i
\(453\) 987375. 4.32597e6i 0.226067 0.990463i
\(454\) 274134. + 1.20106e6i 0.0624199 + 0.273479i
\(455\) 95161.2 + 119328.i 0.0215492 + 0.0270218i
\(456\) 2.58634e6 1.24551e6i 0.582469 0.280503i
\(457\) −1.01102e6 + 486880.i −0.226448 + 0.109051i −0.543668 0.839300i \(-0.682965\pi\)
0.317220 + 0.948352i \(0.397251\pi\)
\(458\) 234282. + 1.02646e6i 0.0521887 + 0.228653i
\(459\) −5.88719e6 + 7.38231e6i −1.30430 + 1.63554i
\(460\) 489117. + 235547.i 0.107775 + 0.0519018i
\(461\) 3.51909e6 4.41279e6i 0.771219 0.967077i −0.228761 0.973483i \(-0.573467\pi\)
0.999979 + 0.00640515i \(0.00203884\pi\)
\(462\) 124920. 547310.i 0.0272287 0.119297i
\(463\) −7.98239e6 + 3.84412e6i −1.73054 + 0.833382i −0.744340 + 0.667801i \(0.767236\pi\)
−0.986196 + 0.165582i \(0.947050\pi\)
\(464\) 224828. 985037.i 0.0484793 0.212402i
\(465\) −169436. 81596.1i −0.0363390 0.0175000i
\(466\) −2.20309e6 −0.469968
\(467\) 2.39524e6 0.508227 0.254113 0.967174i \(-0.418216\pi\)
0.254113 + 0.967174i \(0.418216\pi\)
\(468\) −1.18749e6 571867.i −0.250621 0.120692i
\(469\) −203990. 893736.i −0.0428229 0.187619i
\(470\) −174337. 218611.i −0.0364036 0.0456487i
\(471\) 262193. 328780.i 0.0544589 0.0682893i
\(472\) 509452. 0.105256
\(473\) −6.97730e6 1.83144e6i −1.43395 0.376391i
\(474\) −1.38474e6 −0.283088
\(475\) −2.65131e6 + 3.32464e6i −0.539171 + 0.676099i
\(476\) 849814. + 1.06563e6i 0.171912 + 0.215571i
\(477\) −383884. 1.68191e6i −0.0772510 0.338459i
\(478\) 2.21710e6 + 1.06770e6i 0.443829 + 0.213737i
\(479\) 7.81079e6 1.55545 0.777725 0.628604i \(-0.216374\pi\)
0.777725 + 0.628604i \(0.216374\pi\)
\(480\) 668037. 0.132342
\(481\) −8.25509e6 3.97544e6i −1.62689 0.783471i
\(482\) 504963. 2.21239e6i 0.0990015 0.433754i
\(483\) 765443. 368618.i 0.149295 0.0718967i
\(484\) 1.00540e6 4.40493e6i 0.195085 0.854723i
\(485\) 106322. 133323.i 0.0205243 0.0257366i
\(486\) −1.56591e6 754103.i −0.300730 0.144824i
\(487\) −4.81114e6 + 6.03298e6i −0.919234 + 1.15268i 0.0686741 + 0.997639i \(0.478123\pi\)
−0.987908 + 0.155043i \(0.950448\pi\)
\(488\) −215188. 942802.i −0.0409043 0.179214i
\(489\) 3.28559e6 1.58226e6i 0.621357 0.299230i
\(490\) −374858. + 180522.i −0.0705305 + 0.0339657i
\(491\) 5.44249e6 + 6.82467e6i 1.01881 + 1.27755i 0.960213 + 0.279268i \(0.0900919\pi\)
0.0585991 + 0.998282i \(0.481337\pi\)
\(492\) 718097. + 3.14619e6i 0.133743 + 0.585965i
\(493\) −1.87927e6 + 8.23363e6i −0.348235 + 1.52572i
\(494\) −1.74097e6 2.18310e6i −0.320976 0.402492i
\(495\) 268552. + 336754.i 0.0492624 + 0.0617731i
\(496\) 102910. 450878.i 0.0187825 0.0822914i
\(497\) 235417. + 1.03143e6i 0.0427511 + 0.187305i
\(498\) −805474. 1.01003e6i −0.145539 0.182500i
\(499\) 189953. 91476.7i 0.0341504 0.0164460i −0.416731 0.909030i \(-0.636824\pi\)
0.450881 + 0.892584i \(0.351110\pi\)
\(500\) −1.14478e6 + 551296.i −0.204784 + 0.0986188i
\(501\) 436178. + 1.91102e6i 0.0776371 + 0.340150i
\(502\) 419831. 526452.i 0.0743559 0.0932394i
\(503\) −1.78513e6 859674.i −0.314594 0.151500i 0.269923 0.962882i \(-0.413002\pi\)
−0.584517 + 0.811381i \(0.698716\pi\)
\(504\) −211899. + 265712.i −0.0371579 + 0.0465946i
\(505\) 44540.0 195142.i 0.00777180 0.0340505i
\(506\) −4.14103e6 + 1.99422e6i −0.719006 + 0.346255i
\(507\) 269351. 1.18011e6i 0.0465371 0.203892i
\(508\) 6.80313e6 + 3.27621e6i 1.16963 + 0.563265i
\(509\) −1.67797e6 −0.287072 −0.143536 0.989645i \(-0.545847\pi\)
−0.143536 + 0.989645i \(0.545847\pi\)
\(510\) −747121. −0.127194
\(511\) −702477. 338295.i −0.119009 0.0573117i
\(512\) 682213. + 2.98897e6i 0.115013 + 0.503903i
\(513\) 3.58734e6 + 4.49838e6i 0.601837 + 0.754679i
\(514\) 758561. 951206.i 0.126643 0.158806i
\(515\) 394367. 0.0655212
\(516\) −2.73982e6 2.33357e6i −0.453000 0.385830i
\(517\) −6.46182e6 −1.06323
\(518\) −622500. + 780590.i −0.101933 + 0.127820i
\(519\) −3.96973e6 4.97789e6i −0.646909 0.811198i
\(520\) −216916. 950373.i −0.0351790 0.154129i
\(521\) −341059. 164245.i −0.0550472 0.0265093i 0.406158 0.913803i \(-0.366868\pi\)
−0.461205 + 0.887294i \(0.652583\pi\)
\(522\) −889905. −0.142945
\(523\) 5.03084e6 0.804241 0.402120 0.915587i \(-0.368273\pi\)
0.402120 + 0.915587i \(0.368273\pi\)
\(524\) 6.72758e6 + 3.23983e6i 1.07036 + 0.515459i
\(525\) −218466. + 957160.i −0.0345927 + 0.151561i
\(526\) −422190. + 203316.i −0.0665340 + 0.0320411i
\(527\) −860193. + 3.76875e6i −0.134918 + 0.591114i
\(528\) 1.28788e6 1.61495e6i 0.201044 0.252101i
\(529\) −467934. 225345.i −0.0727019 0.0350114i
\(530\) 336185. 421563.i 0.0519863 0.0651888i
\(531\) 57521.9 + 252020.i 0.00885313 + 0.0387881i
\(532\) 748286. 360356.i 0.114627 0.0552017i
\(533\) 6.69248e6 3.22293e6i 1.02040 0.491397i
\(534\) 2.85563e6 + 3.58084e6i 0.433359 + 0.543415i
\(535\) 182336. + 798867.i 0.0275416 + 0.120667i
\(536\) −1.30286e6 + 5.70822e6i −0.195879 + 0.858200i
\(537\) −1.03767e6 1.30120e6i −0.155283 0.194719i
\(538\) 4.06080e6 + 5.09208e6i 0.604862 + 0.758473i
\(539\) −2.13955e6 + 9.37400e6i −0.317213 + 1.38980i
\(540\) 188884. + 827553.i 0.0278747 + 0.122127i
\(541\) −6.39035e6 8.01324e6i −0.938710 1.17710i −0.984007 0.178131i \(-0.942995\pi\)
0.0452970 0.998974i \(-0.485577\pi\)
\(542\) 3.58526e6 1.72657e6i 0.524230 0.252456i
\(543\) 7.43376e6 3.57991e6i 1.08196 0.521042i
\(544\) −3.05563e6 1.33876e7i −0.442694 1.93957i
\(545\) 667619. 837167.i 0.0962802 0.120732i
\(546\) −580833. 279715.i −0.0833815 0.0401544i
\(547\) 4.24192e6 5.31921e6i 0.606170 0.760113i −0.380155 0.924923i \(-0.624129\pi\)
0.986325 + 0.164809i \(0.0527009\pi\)
\(548\) −1.19170e6 + 5.22118e6i −0.169518 + 0.742707i
\(549\) 442096. 212902.i 0.0626017 0.0301474i
\(550\) 1.18189e6 5.17822e6i 0.166599 0.729917i
\(551\) 4.63653e6 + 2.23283e6i 0.650599 + 0.313312i
\(552\) −5.42618e6 −0.757961
\(553\) −948048. −0.131831
\(554\) −6.14436e6 2.95897e6i −0.850554 0.409605i
\(555\) 332412. + 1.45639e6i 0.0458083 + 0.200699i
\(556\) 845216. + 1.05987e6i 0.115953 + 0.145400i
\(557\) 2.89302e6 3.62773e6i 0.395106 0.495447i −0.543995 0.839088i \(-0.683089\pi\)
0.939101 + 0.343642i \(0.111661\pi\)
\(558\) −407333. −0.0553815
\(559\) −3.83339e6 + 7.34362e6i −0.518863 + 0.993986i
\(560\) 61194.8 0.00824602
\(561\) −1.07650e7 + 1.34989e7i −1.44414 + 1.81089i
\(562\) −2.19755e6 2.75564e6i −0.293493 0.368029i
\(563\) 1.44311e6 + 6.32269e6i 0.191880 + 0.840680i 0.975598 + 0.219564i \(0.0704635\pi\)
−0.783718 + 0.621116i \(0.786679\pi\)
\(564\) −2.90456e6 1.39876e6i −0.384488 0.185159i
\(565\) −2.29389e6 −0.302309
\(566\) 4.94408e6 0.648700
\(567\) 738474. + 355630.i 0.0964668 + 0.0464559i
\(568\) 1.50359e6 6.58765e6i 0.195550 0.856761i
\(569\) 2.79776e6 1.34733e6i 0.362268 0.174459i −0.243891 0.969803i \(-0.578424\pi\)
0.606159 + 0.795344i \(0.292710\pi\)
\(570\) −101304. + 443841.i −0.0130599 + 0.0572190i
\(571\) 1.77653e6 2.22770e6i 0.228025 0.285934i −0.654636 0.755944i \(-0.727178\pi\)
0.882661 + 0.470010i \(0.155750\pi\)
\(572\) −8.57722e6 4.13057e6i −1.09612 0.527862i
\(573\) −554552. + 695386.i −0.0705596 + 0.0884789i
\(574\) −180113. 789128.i −0.0228174 0.0999695i
\(575\) 7.24203e6 3.48758e6i 0.913462 0.439900i
\(576\) 653113. 314523.i 0.0820223 0.0394999i
\(577\) −1.53588e6 1.92593e6i −0.192051 0.240825i 0.676478 0.736463i \(-0.263506\pi\)
−0.868529 + 0.495638i \(0.834934\pi\)
\(578\) 2.49190e6 + 1.09177e7i 0.310249 + 1.35929i
\(579\) 1.98937e6 8.71598e6i 0.246614 1.08049i
\(580\) 473361. + 593576.i 0.0584282 + 0.0732667i
\(581\) −551460. 691508.i −0.0677756 0.0849879i
\(582\) −160278. + 702226.i −0.0196141 + 0.0859348i
\(583\) −2.77278e6 1.21483e7i −0.337866 1.48029i
\(584\) 3.10487e6 + 3.89338e6i 0.376713 + 0.472383i
\(585\) 445646. 214612.i 0.0538394 0.0259277i
\(586\) 3.35599e6 1.61616e6i 0.403716 0.194419i
\(587\) −1.98611e6 8.70173e6i −0.237908 1.04234i −0.942887 0.333114i \(-0.891901\pi\)
0.704979 0.709228i \(-0.250956\pi\)
\(588\) −2.99087e6 + 3.75043e6i −0.356742 + 0.447340i
\(589\) 2.12226e6 + 1.02203e6i 0.252064 + 0.121388i
\(590\) −50374.6 + 63167.8i −0.00595774 + 0.00747077i
\(591\) −303492. + 1.32969e6i −0.0357420 + 0.156596i
\(592\) −3.30983e6 + 1.59393e6i −0.388152 + 0.186924i
\(593\) 2.84626e6 1.24703e7i 0.332382 1.45626i −0.482122 0.876104i \(-0.660134\pi\)
0.814504 0.580158i \(-0.197009\pi\)
\(594\) −6.47484e6 3.11812e6i −0.752944 0.362599i
\(595\) −511509. −0.0592326
\(596\) 2.14847e6 0.247750
\(597\) −5.00202e6 2.40884e6i −0.574393 0.276613i
\(598\) 1.17449e6 + 5.14579e6i 0.134307 + 0.588436i
\(599\) −9.78683e6 1.22723e7i −1.11449 1.39752i −0.907948 0.419084i \(-0.862351\pi\)
−0.206539 0.978438i \(-0.566220\pi\)
\(600\) 3.90960e6 4.90248e6i 0.443358 0.555953i
\(601\) 1.47144e7 1.66171 0.830856 0.556488i \(-0.187851\pi\)
0.830856 + 0.556488i \(0.187851\pi\)
\(602\) 687203. + 585307.i 0.0772848 + 0.0658252i
\(603\) −2.97089e6 −0.332731
\(604\) −5.11228e6 + 6.41059e6i −0.570193 + 0.715000i
\(605\) 1.05719e6 + 1.32568e6i 0.117427 + 0.147248i
\(606\) 188131. + 824257.i 0.0208104 + 0.0911761i
\(607\) 7.83296e6 + 3.77216e6i 0.862888 + 0.415545i 0.812345 0.583177i \(-0.198191\pi\)
0.0505427 + 0.998722i \(0.483905\pi\)
\(608\) −8.36745e6 −0.917982
\(609\) 1.18813e6 0.129814
\(610\) 138177. + 66542.8i 0.0150353 + 0.00724063i
\(611\) −1.65123e6 + 7.23449e6i −0.178938 + 0.783980i
\(612\) 3.97973e6 1.91654e6i 0.429512 0.206842i
\(613\) 2.96039e6 1.29703e7i 0.318198 1.39412i −0.522511 0.852632i \(-0.675005\pi\)
0.840710 0.541486i \(-0.182138\pi\)
\(614\) −1.10138e6 + 1.38109e6i −0.117901 + 0.147843i
\(615\) −1.09114e6 525466.i −0.116330 0.0560217i
\(616\) −1.53054e6 + 1.91923e6i −0.162514 + 0.203786i
\(617\) −81789.4 358343.i −0.00864936 0.0378953i 0.970419 0.241427i \(-0.0776153\pi\)
−0.979068 + 0.203531i \(0.934758\pi\)
\(618\) −1.50079e6 + 722744.i −0.158070 + 0.0761226i
\(619\) −1.56867e7 + 7.55430e6i −1.64552 + 0.792442i −0.645945 + 0.763384i \(0.723537\pi\)
−0.999578 + 0.0290584i \(0.990749\pi\)
\(620\) 216670. + 271696.i 0.0226370 + 0.0283860i
\(621\) −2.42010e6 1.06031e7i −0.251828 1.10333i
\(622\) 378171. 1.65687e6i 0.0391933 0.171717i
\(623\) 1.95508e6 + 2.45159e6i 0.201810 + 0.253062i
\(624\) −1.47896e6 1.85456e6i −0.152053 0.190669i
\(625\) −2.01323e6 + 8.82055e6i −0.206155 + 0.903224i
\(626\) −146694. 642706.i −0.0149615 0.0655506i
\(627\) 6.55963e6 + 8.22551e6i 0.666362 + 0.835592i
\(628\) −700124. + 337162.i −0.0708396 + 0.0341145i
\(629\) 2.76659e7 1.33232e7i 2.78816 1.34271i
\(630\) −11993.6 52547.3i −0.00120392 0.00527472i
\(631\) 7.57363e6 9.49703e6i 0.757235 0.949542i −0.242553 0.970138i \(-0.577985\pi\)
0.999788 + 0.0205958i \(0.00655630\pi\)
\(632\) 5.45546e6 + 2.62721e6i 0.543298 + 0.261639i
\(633\) −4.46690e6 + 5.60131e6i −0.443095 + 0.555624i
\(634\) −1.74350e6 + 7.63879e6i −0.172266 + 0.754747i
\(635\) −2.55310e6 + 1.22951e6i −0.251266 + 0.121003i
\(636\) 1.38335e6 6.06084e6i 0.135609 0.594141i
\(637\) 9.94817e6 + 4.79079e6i 0.971392 + 0.467798i
\(638\) −6.42775e6 −0.625183
\(639\) 3.42860e6 0.332173
\(640\) −1.31553e6 633526.i −0.126955 0.0611385i
\(641\) 140917. + 617396.i 0.0135462 + 0.0593497i 0.981249 0.192743i \(-0.0617384\pi\)
−0.967703 + 0.252093i \(0.918881\pi\)
\(642\) −2.15796e6 2.70599e6i −0.206636 0.259113i
\(643\) −8.15172e6 + 1.02219e7i −0.777539 + 0.975003i 0.222461 + 0.974942i \(0.428591\pi\)
−1.00000 6.11111e-5i \(0.999981\pi\)
\(644\) −1.56992e6 −0.149163
\(645\) 1.32577e6 257865.i 0.125478 0.0244058i
\(646\) 9.35802e6 0.882272
\(647\) −9.99971e6 + 1.25392e7i −0.939132 + 1.17763i 0.0447825 + 0.998997i \(0.485741\pi\)
−0.983915 + 0.178638i \(0.942831\pi\)
\(648\) −3.26397e6 4.09289e6i −0.305357 0.382906i
\(649\) 415478. + 1.82033e6i 0.0387201 + 0.169644i
\(650\) −5.49539e6 2.64644e6i −0.510170 0.245685i
\(651\) 543838. 0.0502941
\(652\) −6.73871e6 −0.620809
\(653\) −9.04492e6 4.35580e6i −0.830084 0.399747i −0.0299371 0.999552i \(-0.509531\pi\)
−0.800147 + 0.599805i \(0.795245\pi\)
\(654\) −1.00642e6 + 4.40943e6i −0.0920104 + 0.403124i
\(655\) −2.52475e6 + 1.21585e6i −0.229940 + 0.110733i
\(656\) 662723. 2.90358e6i 0.0601274 0.263435i
\(657\) −1.57544e6 + 1.97554e6i −0.142393 + 0.178555i
\(658\) 728523. + 350838.i 0.0655961 + 0.0315894i
\(659\) −3.06528e6 + 3.84374e6i −0.274952 + 0.344779i −0.900065 0.435755i \(-0.856481\pi\)
0.625113 + 0.780534i \(0.285053\pi\)
\(660\) 345383. + 1.51322e6i 0.0308632 + 0.135221i
\(661\) 1.64888e7 7.94061e6i 1.46787 0.706887i 0.482273 0.876021i \(-0.339811\pi\)
0.985593 + 0.169134i \(0.0540970\pi\)
\(662\) −2.05631e6 + 990268.i −0.182366 + 0.0878229i
\(663\) 1.23622e7 + 1.55017e7i 1.09223 + 1.36961i
\(664\) 1.25703e6 + 5.50741e6i 0.110644 + 0.484761i
\(665\) −69356.6 + 303871.i −0.00608182 + 0.0266462i
\(666\) 2.01739e6 + 2.52972e6i 0.176240 + 0.220998i
\(667\) −6.06500e6 7.60527e6i −0.527857 0.661912i
\(668\) 806004. 3.53133e6i 0.0698869 0.306195i
\(669\) 3.37919e6 + 1.48052e7i 0.291909 + 1.27894i
\(670\) −578944. 725973.i −0.0498253 0.0624789i
\(671\) 3.19324e6 1.53779e6i 0.273795 0.131853i
\(672\) −1.74054e6 + 838199.i −0.148683 + 0.0716018i
\(673\) 2.91296e6 + 1.27625e7i 0.247912 + 1.08617i 0.933611 + 0.358287i \(0.116639\pi\)
−0.685700 + 0.727885i \(0.740504\pi\)
\(674\) −2.93904e6 + 3.68544e6i −0.249204 + 0.312492i
\(675\) 1.13235e7 + 5.45310e6i 0.956579 + 0.460664i
\(676\) −1.39461e6 + 1.74878e6i −0.117377 + 0.147187i
\(677\) 153582. 672888.i 0.0128786 0.0564249i −0.968080 0.250640i \(-0.919359\pi\)
0.980959 + 0.194215i \(0.0622160\pi\)
\(678\) 8.72958e6 4.20394e6i 0.729321 0.351223i
\(679\) −109733. + 480772.i −0.00913404 + 0.0400188i
\(680\) 2.94343e6 + 1.41748e6i 0.244108 + 0.117556i
\(681\) −5.33042e6 −0.440447
\(682\) −2.94215e6 −0.242217
\(683\) −3.69927e6 1.78147e6i −0.303434 0.146126i 0.275971 0.961166i \(-0.411001\pi\)
−0.579405 + 0.815040i \(0.696715\pi\)
\(684\) −598934. 2.62410e6i −0.0489484 0.214457i
\(685\) −1.25310e6 1.57133e6i −0.102037 0.127950i
\(686\) 1.53033e6 1.91897e6i 0.124158 0.155689i
\(687\) −4.55553e6 −0.368253
\(688\) 1.34372e6 + 3.03744e6i 0.108228 + 0.244646i
\(689\) −1.43095e7 −1.14836
\(690\) 536541. 672801.i 0.0429023 0.0537977i
\(691\) −9.29595e6 1.16567e7i −0.740625 0.928715i 0.258681 0.965963i \(-0.416712\pi\)
−0.999306 + 0.0372482i \(0.988141\pi\)
\(692\) 2.61804e6 + 1.14704e7i 0.207831 + 0.910569i
\(693\) −1.12223e6 540439.i −0.0887666 0.0427477i
\(694\) 763937. 0.0602087
\(695\) −508741. −0.0399517
\(696\) −6.83698e6 3.29252e6i −0.534984 0.257635i
\(697\) −5.53951e6 + 2.42702e7i −0.431906 + 1.89230i
\(698\) 5.90740e6 2.84485e6i 0.458942 0.221015i
\(699\) 2.12116e6 9.29340e6i 0.164203 0.719419i
\(700\) 1.13114e6 1.41840e6i 0.0872509 0.109409i
\(701\) −1.18960e7 5.72883e6i −0.914339 0.440322i −0.0832921 0.996525i \(-0.526543\pi\)
−0.831047 + 0.556203i \(0.812258\pi\)
\(702\) −5.14552e6 + 6.45228e6i −0.394082 + 0.494163i
\(703\) −4.16361e6 1.82420e7i −0.317747 1.39214i
\(704\) 4.71741e6 2.27178e6i 0.358733 0.172757i
\(705\) 1.09003e6 524931.i 0.0825974 0.0397768i
\(706\) 1.53264e6 + 1.92187e6i 0.115725 + 0.145115i
\(707\) 128802. + 564319.i 0.00969114 + 0.0424597i
\(708\) −207283. + 908167.i −0.0155411 + 0.0680898i
\(709\) 7.68686e6 + 9.63902e6i 0.574293 + 0.720141i 0.981128 0.193361i \(-0.0619389\pi\)
−0.406835 + 0.913502i \(0.633367\pi\)
\(710\) 668139. + 837819.i 0.0497417 + 0.0623741i
\(711\) −683677. + 2.99539e6i −0.0507198 + 0.222218i
\(712\) −4.45652e6 1.95253e7i −0.329455 1.44344i
\(713\) −2.77611e6 3.48114e6i −0.204509 0.256447i
\(714\) 1.94659e6 937428.i 0.142899 0.0688165i
\(715\) 3.21888e6 1.55013e6i 0.235473 0.113398i
\(716\) 684345. + 2.99831e6i 0.0498876 + 0.218572i
\(717\) −6.63858e6 + 8.32451e6i −0.482255 + 0.604729i
\(718\) −5.89071e6 2.83682e6i −0.426438 0.205362i
\(719\) −2.06417e6 + 2.58839e6i −0.148910 + 0.186727i −0.850692 0.525665i \(-0.823817\pi\)
0.701782 + 0.712392i \(0.252388\pi\)
\(720\) 44130.1 193347.i 0.00317252 0.0138997i
\(721\) −1.02750e6 + 494820.i −0.0736114 + 0.0354494i
\(722\) −345048. + 1.51175e6i −0.0246341 + 0.107929i
\(723\) 8.84643e6 + 4.26021e6i 0.629393 + 0.303100i
\(724\) −1.52466e7 −1.08100
\(725\) 1.12411e7 0.794265
\(726\) −6.45277e6 3.10749e6i −0.454365 0.218811i
\(727\) 6.16607e6 + 2.70153e7i 0.432686 + 1.89572i 0.444477 + 0.895790i \(0.353390\pi\)
−0.0117912 + 0.999930i \(0.503753\pi\)
\(728\) 1.75762e6 + 2.20398e6i 0.122912 + 0.154127i
\(729\) 9.57461e6 1.20062e7i 0.667271 0.836732i
\(730\) −789755. −0.0548511
\(731\) −1.12318e7 2.53891e7i −0.777418 1.75733i
\(732\) 1.76823e6 0.121972
\(733\) −1.37305e6 + 1.72176e6i −0.0943904 + 0.118362i −0.826784 0.562520i \(-0.809832\pi\)
0.732393 + 0.680882i \(0.238403\pi\)
\(734\) −4.16398e6 5.22146e6i −0.285278 0.357727i
\(735\) −400588. 1.75509e6i −0.0273514 0.119834i
\(736\) 1.42502e7 + 6.86255e6i 0.969678 + 0.466972i
\(737\) −2.14586e7 −1.45524
\(738\) −2.62316e6 −0.177290
\(739\) 2.21802e7 + 1.06814e7i 1.49401 + 0.719478i 0.989581 0.143974i \(-0.0459882\pi\)
0.504430 + 0.863452i \(0.331702\pi\)
\(740\) 614257. 2.69124e6i 0.0412355 0.180664i
\(741\) 1.08853e7 5.24208e6i 0.728274 0.350718i
\(742\) −346972. + 1.52018e6i −0.0231358 + 0.101364i
\(743\) 1.32803e7 1.66529e7i 0.882542 1.10667i −0.111069 0.993813i \(-0.535428\pi\)
0.993611 0.112860i \(-0.0360010\pi\)
\(744\) −3.12947e6 1.50707e6i −0.207271 0.0998163i
\(745\) −502710. + 630379.i −0.0331839 + 0.0416113i
\(746\) −951103. 4.16705e6i −0.0625720 0.274146i
\(747\) −2.58252e6 + 1.24368e6i −0.169333 + 0.0815467i
\(748\) 2.87455e7 1.38431e7i 1.87852 0.904646i
\(749\) −1.47742e6 1.85263e6i −0.0962278 0.120666i
\(750\) 448180. + 1.96360e6i 0.0290937 + 0.127468i
\(751\) −198842. + 871185.i −0.0128650 + 0.0563652i −0.980953 0.194245i \(-0.937774\pi\)
0.968088 + 0.250611i \(0.0806313\pi\)
\(752\) 1.85502e6 + 2.32612e6i 0.119620 + 0.149999i
\(753\) 1.81654e6 + 2.27787e6i 0.116750 + 0.146400i
\(754\) −1.64252e6 + 7.19635e6i −0.105216 + 0.460982i
\(755\) −684723. 2.99997e6i −0.0437167 0.191535i
\(756\) −1.53048e6 1.91916e6i −0.0973917 0.122125i
\(757\) 6.41748e6 3.09050e6i 0.407029 0.196015i −0.219155 0.975690i \(-0.570330\pi\)
0.626184 + 0.779675i \(0.284616\pi\)
\(758\) −9.43723e6 + 4.54473e6i −0.596584 + 0.287300i