Properties

Label 13.7.f.a.6.5
Level 13
Weight 7
Character 13.6
Analytic conductor 2.991
Analytic rank 0
Dimension 24
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 13 \)
Weight: \( k \) = \( 7 \)
Character orbit: \([\chi]\) = 13.f (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.99070308706\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(6\) over \(\Q(\zeta_{12})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 6.5
Character \(\chi\) = 13.6
Dual form 13.7.f.a.11.5

$q$-expansion

\(f(q)\) \(=\) \(q+(1.99444 + 7.44337i) q^{2} +(25.6304 - 44.3931i) q^{3} +(3.99974 - 2.30925i) q^{4} +(-23.8066 + 23.8066i) q^{5} +(381.553 + 102.237i) q^{6} +(-75.6362 + 282.278i) q^{7} +(373.897 + 373.897i) q^{8} +(-949.333 - 1644.29i) q^{9} +O(q^{10})\) \(q+(1.99444 + 7.44337i) q^{2} +(25.6304 - 44.3931i) q^{3} +(3.99974 - 2.30925i) q^{4} +(-23.8066 + 23.8066i) q^{5} +(381.553 + 102.237i) q^{6} +(-75.6362 + 282.278i) q^{7} +(373.897 + 373.897i) q^{8} +(-949.333 - 1644.29i) q^{9} +(-224.682 - 129.720i) q^{10} +(-427.378 + 114.516i) q^{11} -236.748i q^{12} +(40.6056 + 2196.62i) q^{13} -2251.95 q^{14} +(446.677 + 1667.02i) q^{15} +(-1889.54 + 3272.78i) q^{16} +(2798.48 - 1615.70i) q^{17} +(10345.7 - 10345.7i) q^{18} +(-10133.1 - 2715.15i) q^{19} +(-40.2448 + 150.196i) q^{20} +(10592.6 + 10592.6i) q^{21} +(-1704.76 - 2952.74i) q^{22} +(2637.16 + 1522.57i) q^{23} +(26181.6 - 7015.33i) q^{24} +14491.5i q^{25} +(-16269.3 + 4683.29i) q^{26} -59957.9 q^{27} +(349.326 + 1303.70i) q^{28} +(17327.5 - 30012.0i) q^{29} +(-11517.4 + 6649.57i) q^{30} +(5703.31 - 5703.31i) q^{31} +(4559.05 + 1221.59i) q^{32} +(-5870.16 + 21907.7i) q^{33} +(17607.7 + 17607.7i) q^{34} +(-4919.45 - 8520.73i) q^{35} +(-7594.16 - 4384.49i) q^{36} +(3123.71 - 836.996i) q^{37} -80839.5i q^{38} +(98555.8 + 54497.7i) q^{39} -17802.4 q^{40} +(-14330.9 - 53483.8i) q^{41} +(-57718.4 + 99971.2i) q^{42} +(58195.9 - 33599.4i) q^{43} +(-1444.96 + 1444.96i) q^{44} +(61745.4 + 16544.6i) q^{45} +(-6073.35 + 22666.1i) q^{46} +(-70573.1 - 70573.1i) q^{47} +(96859.4 + 167765. i) q^{48} +(27926.8 + 16123.6i) q^{49} +(-107865. + 28902.5i) q^{50} -165644. i q^{51} +(5234.97 + 8692.16i) q^{52} -41268.8 q^{53} +(-119583. - 446289. i) q^{54} +(7448.20 - 12900.7i) q^{55} +(-133823. + 77262.8i) q^{56} +(-380249. + 380249. i) q^{57} +(257949. + 69117.3i) q^{58} +(11741.0 - 43818.1i) q^{59} +(5636.16 + 5636.16i) q^{60} +(41964.6 + 72684.9i) q^{61} +(53826.7 + 31076.9i) q^{62} +(535952. - 143608. i) q^{63} +278233. i q^{64} +(-53260.9 - 51327.5i) q^{65} -174775. q^{66} +(41330.1 + 154246. i) q^{67} +(7462.13 - 12924.8i) q^{68} +(135183. - 78048.0i) q^{69} +(53611.4 - 53611.4i) q^{70} +(-22847.0 - 6121.83i) q^{71} +(259843. - 969748. i) q^{72} +(-385026. - 385026. i) q^{73} +(12460.1 + 21581.6i) q^{74} +(643322. + 371422. i) q^{75} +(-46799.7 + 12539.9i) q^{76} -129301. i q^{77} +(-209083. + 842279. i) q^{78} -512323. q^{79} +(-32930.3 - 122898. i) q^{80} +(-844681. + 1.46303e6i) q^{81} +(369517. - 213341. i) q^{82} +(303058. - 303058. i) q^{83} +(66828.8 + 17906.7i) q^{84} +(-28157.9 + 105087. i) q^{85} +(366161. + 366161. i) q^{86} +(-888219. - 1.53844e6i) q^{87} +(-202612. - 116978. i) q^{88} +(-96164.8 + 25767.3i) q^{89} +492591. i q^{90} +(-623131. - 154682. i) q^{91} +14064.0 q^{92} +(-107010. - 399365. i) q^{93} +(384547. - 666055. i) q^{94} +(305873. - 176596. i) q^{95} +(171081. - 171081. i) q^{96} +(398316. + 106728. i) q^{97} +(-64315.1 + 240027. i) q^{98} +(594021. + 594021. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 12q^{2} - 2q^{3} - 6q^{4} - 114q^{5} + 634q^{6} + 316q^{7} - 1398q^{8} - 1946q^{9} + O(q^{10}) \) \( 24q - 12q^{2} - 2q^{3} - 6q^{4} - 114q^{5} + 634q^{6} + 316q^{7} - 1398q^{8} - 1946q^{9} + 4674q^{10} + 228q^{11} - 1552q^{13} - 14616q^{14} + 7486q^{15} - 2138q^{16} + 20898q^{17} - 5630q^{18} - 14036q^{19} - 14634q^{20} - 314q^{21} + 37852q^{22} + 29634q^{23} + 47154q^{24} + 510q^{26} - 107060q^{27} - 40572q^{28} + 1026q^{29} - 247734q^{30} - 118116q^{31} + 180876q^{32} + 306046q^{33} + 101898q^{34} + 104862q^{35} + 105066q^{36} - 31470q^{37} + 28510q^{39} - 275328q^{40} - 357216q^{41} - 25636q^{42} - 480486q^{43} - 797712q^{44} + 464248q^{45} + 1012050q^{46} + 140028q^{47} + 676102q^{48} + 854562q^{49} + 756714q^{50} - 771704q^{52} - 1397076q^{53} - 1271048q^{54} - 205490q^{55} - 1461108q^{56} - 1483394q^{57} + 1133806q^{58} + 1568052q^{59} + 886808q^{60} + 768676q^{61} + 3741966q^{62} + 1336264q^{63} - 946968q^{65} - 5076928q^{66} - 1489892q^{67} - 569052q^{68} - 1475766q^{69} - 2626556q^{70} + 2136948q^{71} + 4787052q^{72} + 326326q^{73} + 2159718q^{74} + 3466008q^{75} + 1522158q^{76} - 1573544q^{78} - 1734344q^{79} - 5214300q^{80} - 773072q^{81} - 3540426q^{82} - 3642132q^{83} + 2952364q^{84} + 3509916q^{85} - 132324q^{86} + 531698q^{87} + 4478052q^{88} + 632754q^{89} - 2946788q^{91} - 1656060q^{92} - 295514q^{93} + 1552210q^{94} - 2753718q^{95} - 3979208q^{96} + 2258214q^{97} + 4984308q^{98} + 4336480q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/13\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{5}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.99444 + 7.44337i 0.249305 + 0.930421i 0.971170 + 0.238387i \(0.0766186\pi\)
−0.721865 + 0.692034i \(0.756715\pi\)
\(3\) 25.6304 44.3931i 0.949273 1.64419i 0.202313 0.979321i \(-0.435154\pi\)
0.746960 0.664869i \(-0.231513\pi\)
\(4\) 3.99974 2.30925i 0.0624959 0.0360820i
\(5\) −23.8066 + 23.8066i −0.190453 + 0.190453i −0.795892 0.605439i \(-0.792998\pi\)
0.605439 + 0.795892i \(0.292998\pi\)
\(6\) 381.553 + 102.237i 1.76645 + 0.473318i
\(7\) −75.6362 + 282.278i −0.220514 + 0.822969i 0.763639 + 0.645644i \(0.223411\pi\)
−0.984152 + 0.177325i \(0.943256\pi\)
\(8\) 373.897 + 373.897i 0.730267 + 0.730267i
\(9\) −949.333 1644.29i −1.30224 2.25555i
\(10\) −224.682 129.720i −0.224682 0.129720i
\(11\) −427.378 + 114.516i −0.321095 + 0.0860373i −0.415767 0.909471i \(-0.636487\pi\)
0.0946712 + 0.995509i \(0.469820\pi\)
\(12\) 236.748i 0.137007i
\(13\) 40.6056 + 2196.62i 0.0184823 + 0.999829i
\(14\) −2251.95 −0.820683
\(15\) 446.677 + 1667.02i 0.132349 + 0.493933i
\(16\) −1889.54 + 3272.78i −0.461314 + 0.799020i
\(17\) 2798.48 1615.70i 0.569607 0.328863i −0.187385 0.982287i \(-0.560001\pi\)
0.756992 + 0.653424i \(0.226668\pi\)
\(18\) 10345.7 10345.7i 1.77395 1.77395i
\(19\) −10133.1 2715.15i −1.47734 0.395853i −0.571900 0.820323i \(-0.693794\pi\)
−0.905442 + 0.424470i \(0.860460\pi\)
\(20\) −40.2448 + 150.196i −0.00503060 + 0.0187745i
\(21\) 10592.6 + 10592.6i 1.14379 + 1.14379i
\(22\) −1704.76 2952.74i −0.160102 0.277304i
\(23\) 2637.16 + 1522.57i 0.216747 + 0.125139i 0.604443 0.796648i \(-0.293396\pi\)
−0.387696 + 0.921787i \(0.626729\pi\)
\(24\) 26181.6 7015.33i 1.89392 0.507475i
\(25\) 14491.5i 0.927455i
\(26\) −16269.3 + 4683.29i −0.925654 + 0.266459i
\(27\) −59957.9 −3.04618
\(28\) 349.326 + 1303.70i 0.0159132 + 0.0593888i
\(29\) 17327.5 30012.0i 0.710462 1.23056i −0.254222 0.967146i \(-0.581819\pi\)
0.964684 0.263411i \(-0.0848474\pi\)
\(30\) −11517.4 + 6649.57i −0.426570 + 0.246280i
\(31\) 5703.31 5703.31i 0.191444 0.191444i −0.604876 0.796320i \(-0.706777\pi\)
0.796320 + 0.604876i \(0.206777\pi\)
\(32\) 4559.05 + 1221.59i 0.139131 + 0.0372801i
\(33\) −5870.16 + 21907.7i −0.163346 + 0.609615i
\(34\) 17607.7 + 17607.7i 0.447987 + 0.447987i
\(35\) −4919.45 8520.73i −0.114739 0.198734i
\(36\) −7594.16 4384.49i −0.162769 0.0939749i
\(37\) 3123.71 836.996i 0.0616689 0.0165241i −0.227853 0.973696i \(-0.573170\pi\)
0.289522 + 0.957171i \(0.406504\pi\)
\(38\) 80839.5i 1.47324i
\(39\) 98555.8 + 54497.7i 1.66145 + 0.918723i
\(40\) −17802.4 −0.278163
\(41\) −14330.9 53483.8i −0.207933 0.776016i −0.988536 0.150988i \(-0.951754\pi\)
0.780603 0.625028i \(-0.214912\pi\)
\(42\) −57718.4 + 99971.2i −0.779052 + 1.34936i
\(43\) 58195.9 33599.4i 0.731960 0.422597i −0.0871790 0.996193i \(-0.527785\pi\)
0.819139 + 0.573596i \(0.194452\pi\)
\(44\) −1444.96 + 1444.96i −0.0169628 + 0.0169628i
\(45\) 61745.4 + 16544.6i 0.677591 + 0.181560i
\(46\) −6073.35 + 22666.1i −0.0623957 + 0.232864i
\(47\) −70573.1 70573.1i −0.679744 0.679744i 0.280198 0.959942i \(-0.409600\pi\)
−0.959942 + 0.280198i \(0.909600\pi\)
\(48\) 96859.4 + 167765.i 0.875826 + 1.51698i
\(49\) 27926.8 + 16123.6i 0.237374 + 0.137048i
\(50\) −107865. + 28902.5i −0.862924 + 0.231220i
\(51\) 165644.i 1.24872i
\(52\) 5234.97 + 8692.16i 0.0372309 + 0.0618184i
\(53\) −41268.8 −0.277201 −0.138600 0.990348i \(-0.544260\pi\)
−0.138600 + 0.990348i \(0.544260\pi\)
\(54\) −119583. 446289.i −0.759429 2.83423i
\(55\) 7448.20 12900.7i 0.0447675 0.0775396i
\(56\) −133823. + 77262.8i −0.762021 + 0.439953i
\(57\) −380249. + 380249.i −2.05326 + 2.05326i
\(58\) 257949. + 69117.3i 1.32206 + 0.354244i
\(59\) 11741.0 43818.1i 0.0571676 0.213352i −0.931433 0.363912i \(-0.881441\pi\)
0.988601 + 0.150560i \(0.0481075\pi\)
\(60\) 5636.16 + 5636.16i 0.0260934 + 0.0260934i
\(61\) 41964.6 + 72684.9i 0.184882 + 0.320224i 0.943537 0.331268i \(-0.107476\pi\)
−0.758655 + 0.651493i \(0.774143\pi\)
\(62\) 53826.7 + 31076.9i 0.225851 + 0.130395i
\(63\) 535952. 143608.i 2.14341 0.574324i
\(64\) 278233.i 1.06137i
\(65\) −53260.9 51327.5i −0.193940 0.186900i
\(66\) −174775. −0.607921
\(67\) 41330.1 + 154246.i 0.137417 + 0.512849i 0.999976 + 0.00689201i \(0.00219381\pi\)
−0.862559 + 0.505957i \(0.831140\pi\)
\(68\) 7462.13 12924.8i 0.0237321 0.0411052i
\(69\) 135183. 78048.0i 0.411505 0.237582i
\(70\) 53611.4 53611.4i 0.156301 0.156301i
\(71\) −22847.0 6121.83i −0.0638342 0.0171043i 0.226761 0.973951i \(-0.427187\pi\)
−0.290595 + 0.956846i \(0.593853\pi\)
\(72\) 259843. 969748.i 0.696168 2.59813i
\(73\) −385026. 385026.i −0.989741 0.989741i 0.0102065 0.999948i \(-0.496751\pi\)
−0.999948 + 0.0102065i \(0.996751\pi\)
\(74\) 12460.1 + 21581.6i 0.0307488 + 0.0532584i
\(75\) 643322. + 371422.i 1.52491 + 0.880409i
\(76\) −46799.7 + 12539.9i −0.106611 + 0.0285663i
\(77\) 129301.i 0.283224i
\(78\) −209083. + 842279.i −0.440589 + 1.77489i
\(79\) −512323. −1.03911 −0.519557 0.854436i \(-0.673903\pi\)
−0.519557 + 0.854436i \(0.673903\pi\)
\(80\) −32930.3 122898.i −0.0643170 0.240034i
\(81\) −844681. + 1.46303e6i −1.58942 + 2.75295i
\(82\) 369517. 213341.i 0.670182 0.386930i
\(83\) 303058. 303058.i 0.530019 0.530019i −0.390559 0.920578i \(-0.627718\pi\)
0.920578 + 0.390559i \(0.127718\pi\)
\(84\) 66828.8 + 17906.7i 0.112752 + 0.0302119i
\(85\) −28157.9 + 105087.i −0.0458505 + 0.171116i
\(86\) 366161. + 366161.i 0.575675 + 0.575675i
\(87\) −888219. 1.53844e6i −1.34885 2.33627i
\(88\) −202612. 116978.i −0.297316 0.171655i
\(89\) −96164.8 + 25767.3i −0.136410 + 0.0365509i −0.326378 0.945239i \(-0.605828\pi\)
0.189968 + 0.981790i \(0.439162\pi\)
\(90\) 492591.i 0.675708i
\(91\) −623131. 154682.i −0.826904 0.205266i
\(92\) 14064.0 0.0180611
\(93\) −107010. 399365.i −0.133037 0.496503i
\(94\) 384547. 666055.i 0.462984 0.801912i
\(95\) 305873. 176596.i 0.356755 0.205973i
\(96\) 171081. 171081.i 0.193369 0.193369i
\(97\) 398316. + 106728.i 0.436428 + 0.116941i 0.470342 0.882484i \(-0.344131\pi\)
−0.0339140 + 0.999425i \(0.510797\pi\)
\(98\) −64315.1 + 240027.i −0.0683336 + 0.255025i
\(99\) 594021. + 594021.i 0.612204 + 0.612204i
\(100\) 33464.5 + 57962.2i 0.0334645 + 0.0579622i
\(101\) 1.60799e6 + 928373.i 1.56070 + 0.901070i 0.997186 + 0.0749623i \(0.0238836\pi\)
0.563512 + 0.826108i \(0.309450\pi\)
\(102\) 1.23295e6 330368.i 1.16184 0.311314i
\(103\) 158837.i 0.145358i 0.997355 + 0.0726790i \(0.0231549\pi\)
−0.997355 + 0.0726790i \(0.976845\pi\)
\(104\) −806129. + 836493.i −0.716646 + 0.743640i
\(105\) −504349. −0.435676
\(106\) −82308.3 307179.i −0.0691076 0.257913i
\(107\) 396539. 686825.i 0.323694 0.560654i −0.657553 0.753408i \(-0.728409\pi\)
0.981247 + 0.192754i \(0.0617419\pi\)
\(108\) −239816. + 138458.i −0.190374 + 0.109912i
\(109\) −727600. + 727600.i −0.561840 + 0.561840i −0.929830 0.367990i \(-0.880046\pi\)
0.367990 + 0.929830i \(0.380046\pi\)
\(110\) 110879. + 29710.0i 0.0833053 + 0.0223216i
\(111\) 42905.1 160124.i 0.0313718 0.117081i
\(112\) −780918. 780918.i −0.555842 0.555842i
\(113\) 907361. + 1.57160e6i 0.628847 + 1.08919i 0.987784 + 0.155832i \(0.0498060\pi\)
−0.358937 + 0.933362i \(0.616861\pi\)
\(114\) −3.58872e6 2.07195e6i −2.42228 1.39851i
\(115\) −99029.1 + 26534.8i −0.0651133 + 0.0174470i
\(116\) 160054.i 0.102540i
\(117\) 3.57335e6 2.15210e6i 2.23109 1.34370i
\(118\) 349571. 0.212760
\(119\) 244412. + 912156.i 0.145038 + 0.541288i
\(120\) −456283. + 790306.i −0.264053 + 0.457353i
\(121\) −1.36468e6 + 787898.i −0.770326 + 0.444748i
\(122\) −457324. + 457324.i −0.251851 + 0.251851i
\(123\) −2.74162e6 734615.i −1.47330 0.394770i
\(124\) 9641.37 35982.1i 0.00505678 0.0188721i
\(125\) −716972. 716972.i −0.367090 0.367090i
\(126\) 2.13785e6 + 3.70287e6i 1.06873 + 1.85109i
\(127\) 988835. + 570904.i 0.482739 + 0.278710i 0.721557 0.692355i \(-0.243427\pi\)
−0.238818 + 0.971064i \(0.576760\pi\)
\(128\) −1.77921e6 + 476737.i −0.848392 + 0.227326i
\(129\) 3.44466e6i 1.60464i
\(130\) 275824. 498810.i 0.125546 0.227041i
\(131\) −521776. −0.232097 −0.116049 0.993244i \(-0.537023\pi\)
−0.116049 + 0.993244i \(0.537023\pi\)
\(132\) 27111.3 + 101181.i 0.0117877 + 0.0439923i
\(133\) 1.53286e6 2.65499e6i 0.651549 1.12852i
\(134\) −1.06568e6 + 615270.i −0.442906 + 0.255712i
\(135\) 1.42740e6 1.42740e6i 0.580154 0.580154i
\(136\) 1.65045e6 + 442237.i 0.656123 + 0.175808i
\(137\) −1.10185e6 + 4.11217e6i −0.428511 + 1.59922i 0.327625 + 0.944808i \(0.393752\pi\)
−0.756135 + 0.654415i \(0.772915\pi\)
\(138\) 850554. + 850554.i 0.323642 + 0.323642i
\(139\) −317622. 550138.i −0.118268 0.204846i 0.800814 0.598914i \(-0.204401\pi\)
−0.919081 + 0.394068i \(0.871067\pi\)
\(140\) −39353.0 22720.5i −0.0143415 0.00828006i
\(141\) −4.94177e6 + 1.32414e6i −1.76289 + 0.472365i
\(142\) 182268.i 0.0636569i
\(143\) −268902. 934139.i −0.0919572 0.319450i
\(144\) 7.17522e6 2.40297
\(145\) 301977. + 1.12699e6i 0.0990535 + 0.369673i
\(146\) 2.09798e6 3.63380e6i 0.674128 1.16762i
\(147\) 1.43155e6 826506.i 0.450666 0.260192i
\(148\) 10561.2 10561.2i 0.00325783 0.00325783i
\(149\) 5.78714e6 + 1.55066e6i 1.74946 + 0.468768i 0.984512 0.175319i \(-0.0560957\pi\)
0.764953 + 0.644087i \(0.222762\pi\)
\(150\) −1.48156e6 + 5.52927e6i −0.438981 + 1.63830i
\(151\) 2.26172e6 + 2.26172e6i 0.656912 + 0.656912i 0.954648 0.297736i \(-0.0962315\pi\)
−0.297736 + 0.954648i \(0.596231\pi\)
\(152\) −2.77354e6 4.80392e6i −0.789776 1.36793i
\(153\) −5.31338e6 3.06768e6i −1.48353 0.856517i
\(154\) 962435. 257884.i 0.263517 0.0706093i
\(155\) 271553.i 0.0729221i
\(156\) 520046. 9613.29i 0.136983 0.00253220i
\(157\) −1.55389e6 −0.401533 −0.200767 0.979639i \(-0.564343\pi\)
−0.200767 + 0.979639i \(0.564343\pi\)
\(158\) −1.02180e6 3.81341e6i −0.259057 0.966813i
\(159\) −1.05773e6 + 1.83205e6i −0.263139 + 0.455770i
\(160\) −137618. + 79453.6i −0.0335980 + 0.0193978i
\(161\) −629253. + 629253.i −0.150781 + 0.150781i
\(162\) −1.25745e7 3.36934e6i −2.95765 0.792500i
\(163\) 947255. 3.53520e6i 0.218728 0.816304i −0.766093 0.642730i \(-0.777802\pi\)
0.984821 0.173574i \(-0.0555315\pi\)
\(164\) −180827. 180827.i −0.0409952 0.0409952i
\(165\) −381800. 661297.i −0.0849932 0.147213i
\(166\) 2.86020e6 + 1.65134e6i 0.625277 + 0.361004i
\(167\) 1.34763e6 361097.i 0.289349 0.0775308i −0.111225 0.993795i \(-0.535477\pi\)
0.400574 + 0.916264i \(0.368811\pi\)
\(168\) 7.92110e6i 1.67054i
\(169\) −4.82351e6 + 178391.i −0.999317 + 0.0369583i
\(170\) −838359. −0.170641
\(171\) 5.15517e6 + 1.92393e7i 1.03099 + 3.84771i
\(172\) 155179. 268778.i 0.0304963 0.0528212i
\(173\) 910586. 525727.i 0.175866 0.101536i −0.409483 0.912318i \(-0.634291\pi\)
0.585349 + 0.810781i \(0.300957\pi\)
\(174\) 9.67967e6 9.67967e6i 1.83744 1.83744i
\(175\) −4.09063e6 1.09608e6i −0.763267 0.204517i
\(176\) 432764. 1.61510e6i 0.0793804 0.296252i
\(177\) −1.64430e6 1.64430e6i −0.296524 0.296524i
\(178\) −383591. 664399.i −0.0680155 0.117806i
\(179\) −5.09109e6 2.93934e6i −0.887670 0.512496i −0.0144903 0.999895i \(-0.504613\pi\)
−0.873180 + 0.487399i \(0.837946\pi\)
\(180\) 285171. 76411.4i 0.0488977 0.0131021i
\(181\) 3.79294e6i 0.639646i 0.947477 + 0.319823i \(0.103623\pi\)
−0.947477 + 0.319823i \(0.896377\pi\)
\(182\) −91441.9 4.94670e6i −0.0151681 0.820542i
\(183\) 4.30228e6 0.702013
\(184\) 416744. + 1.55531e6i 0.0668985 + 0.249668i
\(185\) −54439.0 + 94291.1i −0.00859795 + 0.0148921i
\(186\) 2.75920e6 1.59302e6i 0.428789 0.247562i
\(187\) −1.01099e6 + 1.01099e6i −0.154604 + 0.154604i
\(188\) −445245. 119303.i −0.0670078 0.0179547i
\(189\) 4.53499e6 1.69248e7i 0.671724 2.50691i
\(190\) 1.92452e6 + 1.92452e6i 0.280583 + 0.280583i
\(191\) −3.51626e6 6.09034e6i −0.504639 0.874060i −0.999986 0.00536504i \(-0.998292\pi\)
0.495347 0.868695i \(-0.335041\pi\)
\(192\) 1.23516e7 + 7.13121e6i 1.74510 + 1.00753i
\(193\) 6.59881e6 1.76814e6i 0.917896 0.245949i 0.231210 0.972904i \(-0.425732\pi\)
0.686686 + 0.726954i \(0.259065\pi\)
\(194\) 3.17768e6i 0.435216i
\(195\) −3.64369e6 + 1.04887e6i −0.491402 + 0.141455i
\(196\) 148933. 0.0197799
\(197\) −1.33330e6 4.97594e6i −0.174393 0.650843i −0.996654 0.0817330i \(-0.973955\pi\)
0.822261 0.569110i \(-0.192712\pi\)
\(198\) −3.23677e6 + 5.60626e6i −0.416982 + 0.722233i
\(199\) −1.11636e7 + 6.44530e6i −1.41659 + 0.817869i −0.995998 0.0893798i \(-0.971512\pi\)
−0.420594 + 0.907249i \(0.638178\pi\)
\(200\) −5.41832e6 + 5.41832e6i −0.677290 + 0.677290i
\(201\) 7.90676e6 + 2.11861e6i 0.973667 + 0.260893i
\(202\) −3.70318e6 + 1.38204e7i −0.449283 + 1.67675i
\(203\) 7.16117e6 + 7.16117e6i 0.856043 + 0.856043i
\(204\) −382514. 662534.i −0.0450565 0.0780401i
\(205\) 1.61444e6 + 932097.i 0.187396 + 0.108193i
\(206\) −1.18228e6 + 316791.i −0.135244 + 0.0362386i
\(207\) 5.78169e6i 0.651844i
\(208\) −7.26580e6 4.01772e6i −0.807409 0.446468i
\(209\) 4.64159e6 0.508426
\(210\) −1.00590e6 3.75406e6i −0.108616 0.405362i
\(211\) 4.79427e6 8.30391e6i 0.510358 0.883966i −0.489570 0.871964i \(-0.662846\pi\)
0.999928 0.0120019i \(-0.00382043\pi\)
\(212\) −165064. + 95299.9i −0.0173239 + 0.0100020i
\(213\) −857344. + 857344.i −0.0887189 + 0.0887189i
\(214\) 5.90317e6 + 1.58175e6i 0.602343 + 0.161397i
\(215\) −585559. + 2.18534e6i −0.0589190 + 0.219889i
\(216\) −2.24181e7 2.24181e7i −2.22452 2.22452i
\(217\) 1.17854e6 + 2.04130e6i 0.115336 + 0.199768i
\(218\) −6.86695e6 3.96463e6i −0.662818 0.382678i
\(219\) −2.69609e7 + 7.22415e6i −2.56686 + 0.687787i
\(220\) 68799.0i 0.00646121i
\(221\) 3.66273e6 + 6.08161e6i 0.339334 + 0.563432i
\(222\) 1.27743e6 0.116756
\(223\) −3.71781e6 1.38750e7i −0.335253 1.25118i −0.903595 0.428388i \(-0.859082\pi\)
0.568343 0.822792i \(-0.307585\pi\)
\(224\) −689659. + 1.19452e6i −0.0613607 + 0.106280i
\(225\) 2.38282e7 1.37572e7i 2.09192 1.20777i
\(226\) −9.88828e6 + 9.88828e6i −0.856634 + 0.856634i
\(227\) 9.94780e6 + 2.66550e6i 0.850451 + 0.227878i 0.657616 0.753353i \(-0.271565\pi\)
0.192835 + 0.981231i \(0.438232\pi\)
\(228\) −642807. + 2.39899e6i −0.0542345 + 0.202406i
\(229\) 9.59875e6 + 9.59875e6i 0.799297 + 0.799297i 0.982985 0.183688i \(-0.0588035\pi\)
−0.183688 + 0.982985i \(0.558804\pi\)
\(230\) −395016. 684188.i −0.0324662 0.0562331i
\(231\) −5.74008e6 3.31404e6i −0.465674 0.268857i
\(232\) 1.77001e7 4.74273e6i 1.41746 0.379808i
\(233\) 7.44667e6i 0.588700i −0.955698 0.294350i \(-0.904897\pi\)
0.955698 0.294350i \(-0.0951032\pi\)
\(234\) 2.31457e7 + 2.23055e7i 1.80643 + 1.74086i
\(235\) 3.36021e6 0.258918
\(236\) −54225.9 202374.i −0.00412545 0.0153964i
\(237\) −1.31310e7 + 2.27436e7i −0.986402 + 1.70850i
\(238\) −6.30205e6 + 3.63849e6i −0.467467 + 0.269892i
\(239\) −9.06179e6 + 9.06179e6i −0.663774 + 0.663774i −0.956268 0.292493i \(-0.905515\pi\)
0.292493 + 0.956268i \(0.405515\pi\)
\(240\) −6.29982e6 1.68803e6i −0.455716 0.122109i
\(241\) 5.08365e6 1.89724e7i 0.363182 1.35541i −0.506687 0.862130i \(-0.669130\pi\)
0.869869 0.493283i \(-0.164203\pi\)
\(242\) −8.58638e6 8.58638e6i −0.605849 0.605849i
\(243\) 2.14443e7 + 3.71427e7i 1.49449 + 2.58854i
\(244\) 335695. + 193814.i 0.0231087 + 0.0133418i
\(245\) −1.04869e6 + 280996.i −0.0713098 + 0.0191074i
\(246\) 2.18720e7i 1.46921i
\(247\) 5.55271e6 2.23688e7i 0.368480 1.48441i
\(248\) 4.26490e6 0.279610
\(249\) −5.68620e6 2.12212e7i −0.368319 1.37458i
\(250\) 3.90672e6 6.76664e6i 0.250030 0.433065i
\(251\) −9.56884e6 + 5.52457e6i −0.605115 + 0.349364i −0.771051 0.636773i \(-0.780269\pi\)
0.165936 + 0.986137i \(0.446936\pi\)
\(252\) 1.81204e6 1.81204e6i 0.113231 0.113231i
\(253\) −1.30142e6 348715.i −0.0803632 0.0215333i
\(254\) −2.27727e6 + 8.49890e6i −0.138968 + 0.518635i
\(255\) 3.94343e6 + 3.94343e6i 0.237823 + 0.237823i
\(256\) 1.80638e6 + 3.12875e6i 0.107669 + 0.186488i
\(257\) 1.47153e7 + 8.49590e6i 0.866904 + 0.500507i 0.866318 0.499493i \(-0.166480\pi\)
0.000585642 1.00000i \(0.499814\pi\)
\(258\) 2.56399e7 6.87019e6i 1.49299 0.400046i
\(259\) 945064.i 0.0543953i
\(260\) −331558. 82304.0i −0.0188642 0.00468275i
\(261\) −6.57981e7 −3.70077
\(262\) −1.04065e6 3.88377e6i −0.0578631 0.215948i
\(263\) 7.31632e6 1.26722e7i 0.402185 0.696604i −0.591805 0.806081i \(-0.701584\pi\)
0.993989 + 0.109477i \(0.0349177\pi\)
\(264\) −1.03861e7 + 5.99640e6i −0.564468 + 0.325896i
\(265\) 982470. 982470.i 0.0527937 0.0527937i
\(266\) 2.28192e7 + 6.11440e6i 1.21243 + 0.324869i
\(267\) −1.32085e6 + 4.92948e6i −0.0693937 + 0.258981i
\(268\) 521502. + 521502.i 0.0270927 + 0.0270927i
\(269\) −3.95274e6 6.84635e6i −0.203068 0.351724i 0.746447 0.665444i \(-0.231758\pi\)
−0.949515 + 0.313720i \(0.898425\pi\)
\(270\) 1.34715e7 + 7.77777e6i 0.684422 + 0.395152i
\(271\) 9.72876e6 2.60681e6i 0.488820 0.130979i −0.00598628 0.999982i \(-0.501906\pi\)
0.494807 + 0.869003i \(0.335239\pi\)
\(272\) 1.22118e7i 0.606837i
\(273\) −2.28379e7 + 2.36981e7i −1.12245 + 1.16473i
\(274\) −3.28060e7 −1.59478
\(275\) −1.65950e6 6.19335e6i −0.0797957 0.297802i
\(276\) 360464. 624343.i 0.0171449 0.0296959i
\(277\) −8.97616e6 + 5.18239e6i −0.422329 + 0.243832i −0.696073 0.717971i \(-0.745071\pi\)
0.273744 + 0.961803i \(0.411738\pi\)
\(278\) 3.46140e6 3.46140e6i 0.161108 0.161108i
\(279\) −1.47922e7 3.96357e6i −0.681116 0.182505i
\(280\) 1.34651e6 5.02524e6i 0.0613388 0.228920i
\(281\) 2.56461e7 + 2.56461e7i 1.15585 + 1.15585i 0.985358 + 0.170495i \(0.0545368\pi\)
0.170495 + 0.985358i \(0.445463\pi\)
\(282\) −1.97122e7 3.41425e7i −0.878997 1.52247i
\(283\) −1.16354e7 6.71768e6i −0.513358 0.296388i 0.220855 0.975307i \(-0.429115\pi\)
−0.734213 + 0.678919i \(0.762449\pi\)
\(284\) −105519. + 28273.7i −0.00460654 + 0.00123432i
\(285\) 1.81049e7i 0.782098i
\(286\) 6.41683e6 3.86462e6i 0.274298 0.165200i
\(287\) 1.61813e7 0.684489
\(288\) −2.31940e6 8.65611e6i −0.0970952 0.362364i
\(289\) −6.84779e6 + 1.18607e7i −0.283698 + 0.491380i
\(290\) −7.78635e6 + 4.49545e6i −0.319257 + 0.184323i
\(291\) 1.49470e7 1.49470e7i 0.606562 0.606562i
\(292\) −2.42913e6 650882.i −0.0975667 0.0261429i
\(293\) −6.65595e6 + 2.48403e7i −0.264610 + 0.987540i 0.697878 + 0.716217i \(0.254128\pi\)
−0.962488 + 0.271323i \(0.912539\pi\)
\(294\) 9.00713e6 + 9.00713e6i 0.354442 + 0.354442i
\(295\) 763647. + 1.32267e6i 0.0297459 + 0.0515213i
\(296\) 1.48090e6 + 854996.i 0.0571018 + 0.0329677i
\(297\) 2.56247e7 6.86612e6i 0.978114 0.262085i
\(298\) 4.61685e7i 1.74460i
\(299\) −3.23743e6 + 5.85468e6i −0.121112 + 0.219023i
\(300\) 3.43083e6 0.127068
\(301\) 5.08267e6 + 1.89688e7i 0.186377 + 0.695568i
\(302\) −1.23239e7 + 2.13457e7i −0.447433 + 0.774977i
\(303\) 8.24268e7 4.75891e7i 2.96306 1.71072i
\(304\) 2.80330e7 2.80330e7i 0.997813 0.997813i
\(305\) −2.72942e6 731345.i −0.0961990 0.0257764i
\(306\) 1.22366e7 4.56677e7i 0.427069 1.59384i
\(307\) −1.50829e7 1.50829e7i −0.521277 0.521277i 0.396680 0.917957i \(-0.370162\pi\)
−0.917957 + 0.396680i \(0.870162\pi\)
\(308\) −298589. 517171.i −0.0102193 0.0177003i
\(309\) 7.05126e6 + 4.07104e6i 0.238996 + 0.137985i
\(310\) −2.02127e6 + 541597.i −0.0678482 + 0.0181799i
\(311\) 3.47663e7i 1.15578i −0.816113 0.577892i \(-0.803875\pi\)
0.816113 0.577892i \(-0.196125\pi\)
\(312\) 1.64732e7 + 5.72262e7i 0.542392 + 1.88422i
\(313\) −3.64685e7 −1.18928 −0.594641 0.803991i \(-0.702706\pi\)
−0.594641 + 0.803991i \(0.702706\pi\)
\(314\) −3.09915e6 1.15662e7i −0.100104 0.373595i
\(315\) −9.34039e6 + 1.61780e7i −0.298836 + 0.517599i
\(316\) −2.04916e6 + 1.18308e6i −0.0649403 + 0.0374933i
\(317\) −1.85512e7 + 1.85512e7i −0.582362 + 0.582362i −0.935552 0.353189i \(-0.885097\pi\)
0.353189 + 0.935552i \(0.385097\pi\)
\(318\) −1.57462e7 4.21918e6i −0.489660 0.131204i
\(319\) −3.96853e6 + 1.48108e7i −0.122252 + 0.456252i
\(320\) −6.62378e6 6.62378e6i −0.202142 0.202142i
\(321\) −2.03269e7 3.52072e7i −0.614548 1.06443i
\(322\) −5.93877e6 3.42875e6i −0.177881 0.102699i
\(323\) −3.27441e7 + 8.77377e6i −0.971686 + 0.260363i
\(324\) 7.80232e6i 0.229397i
\(325\) −3.18324e7 + 588436.i −0.927297 + 0.0171415i
\(326\) 2.82031e7 0.814036
\(327\) 1.36518e7 + 5.09491e7i 0.390432 + 1.45711i
\(328\) 1.46391e7 2.53557e7i 0.414852 0.718546i
\(329\) 2.52591e7 1.45834e7i 0.709301 0.409515i
\(330\) 4.16080e6 4.16080e6i 0.115780 0.115780i
\(331\) −1.20933e7 3.24040e6i −0.333474 0.0893542i 0.0881966 0.996103i \(-0.471890\pi\)
−0.421671 + 0.906749i \(0.638556\pi\)
\(332\) 512316. 1.91199e6i 0.0139999 0.0522482i
\(333\) −4.34171e6 4.34171e6i −0.117579 0.117579i
\(334\) 5.37555e6 + 9.31073e6i 0.144272 + 0.249887i
\(335\) −4.65600e6 2.68814e6i −0.123845 0.0715020i
\(336\) −5.46826e7 + 1.46522e7i −1.44156 + 0.386264i
\(337\) 3.06455e7i 0.800712i 0.916360 + 0.400356i \(0.131114\pi\)
−0.916360 + 0.400356i \(0.868886\pi\)
\(338\) −1.09480e7 3.55474e7i −0.283522 0.920571i
\(339\) 9.30240e7 2.38779
\(340\) 130047. + 485343.i 0.00330876 + 0.0123484i
\(341\) −1.78435e6 + 3.09059e6i −0.0450005 + 0.0779431i
\(342\) −1.32924e8 + 7.67436e7i −3.32295 + 1.91851i
\(343\) −3.09748e7 + 3.09748e7i −0.767585 + 0.767585i
\(344\) 3.43220e7 + 9.19655e6i 0.843135 + 0.225917i
\(345\) −1.36019e6 + 5.07631e6i −0.0331240 + 0.123621i
\(346\) 5.72929e6 + 5.72929e6i 0.138316 + 0.138316i
\(347\) 1.01234e7 + 1.75343e7i 0.242292 + 0.419663i 0.961367 0.275270i \(-0.0887673\pi\)
−0.719074 + 0.694933i \(0.755434\pi\)
\(348\) −7.10529e6 4.10224e6i −0.168595 0.0973382i
\(349\) 6.57989e7 1.76308e7i 1.54790 0.414758i 0.619090 0.785320i \(-0.287502\pi\)
0.928808 + 0.370562i \(0.120835\pi\)
\(350\) 3.26342e7i 0.761146i
\(351\) −2.43463e6 1.31705e8i −0.0563004 3.04566i
\(352\) −2.08833e6 −0.0478819
\(353\) −1.68597e7 6.29214e7i −0.383289 1.43045i −0.840846 0.541274i \(-0.817942\pi\)
0.457557 0.889180i \(-0.348725\pi\)
\(354\) 8.95964e6 1.55185e7i 0.201967 0.349817i
\(355\) 689649. 398169.i 0.0154150 0.00889985i
\(356\) −325131. + 325131.i −0.00720623 + 0.00720623i
\(357\) 4.67578e7 + 1.25287e7i 1.02766 + 0.275361i
\(358\) 1.17247e7 4.37572e7i 0.255536 0.953675i
\(359\) −4.73091e7 4.73091e7i −1.02250 1.02250i −0.999741 0.0227548i \(-0.992756\pi\)
−0.0227548 0.999741i \(-0.507244\pi\)
\(360\) 1.69004e7 + 2.92724e7i 0.362235 + 0.627409i
\(361\) 5.45645e7 + 3.15028e7i 1.15982 + 0.669620i
\(362\) −2.82322e7 + 7.56480e6i −0.595140 + 0.159467i
\(363\) 8.07765e7i 1.68875i
\(364\) −2.84956e6 + 820276.i −0.0590845 + 0.0170081i
\(365\) 1.83323e7 0.376998
\(366\) 8.58065e6 + 3.20234e7i 0.175016 + 0.653167i
\(367\) 3.31711e7 5.74541e7i 0.671061 1.16231i −0.306543 0.951857i \(-0.599172\pi\)
0.977604 0.210455i \(-0.0674945\pi\)
\(368\) −9.96607e6 + 5.75391e6i −0.199977 + 0.115457i
\(369\) −7.43382e7 + 7.43382e7i −1.47956 + 1.47956i
\(370\) −810419. 217151.i −0.0159994 0.00428703i
\(371\) 3.12142e6 1.16493e7i 0.0611266 0.228127i
\(372\) −1.35025e6 1.35025e6i −0.0262291 0.0262291i
\(373\) 3.03260e7 + 5.25262e7i 0.584371 + 1.01216i 0.994954 + 0.100337i \(0.0319921\pi\)
−0.410582 + 0.911823i \(0.634675\pi\)
\(374\) −9.54149e6 5.50878e6i −0.182390 0.105303i
\(375\) −5.02049e7 + 1.34524e7i −0.952033 + 0.255097i
\(376\) 5.27741e7i 0.992790i
\(377\) 6.66288e7 + 3.68433e7i 1.24348 + 0.687597i
\(378\) 1.35022e8 2.49995
\(379\) 2.58795e7 + 9.65836e7i 0.475377 + 1.77413i 0.619955 + 0.784637i \(0.287151\pi\)
−0.144578 + 0.989493i \(0.546183\pi\)
\(380\) 815609. 1.41268e6i 0.0148638 0.0257449i
\(381\) 5.06884e7 2.92650e7i 0.916503 0.529143i
\(382\) 3.83197e7 3.83197e7i 0.687435 0.687435i
\(383\) −9.36816e7 2.51019e7i −1.66747 0.446797i −0.703043 0.711148i \(-0.748176\pi\)
−0.964427 + 0.264351i \(0.914842\pi\)
\(384\) −2.44379e7 + 9.12035e7i −0.431589 + 1.61071i
\(385\) 3.07822e6 + 3.07822e6i 0.0539408 + 0.0539408i
\(386\) 2.63219e7 + 4.55909e7i 0.457673 + 0.792713i
\(387\) −1.10495e8 6.37941e7i −1.90637 1.10065i
\(388\) 1.83962e6 492925.i 0.0314944 0.00843890i
\(389\) 5.68950e7i 0.966551i −0.875468 0.483276i \(-0.839447\pi\)
0.875468 0.483276i \(-0.160553\pi\)
\(390\) −1.50743e7 2.50294e7i −0.254122 0.421945i
\(391\) 9.84007e6 0.164614
\(392\) 4.41320e6 + 1.64703e7i 0.0732649 + 0.273428i
\(393\) −1.33733e7 + 2.31633e7i −0.220324 + 0.381612i
\(394\) 3.43785e7 1.98485e7i 0.562081 0.324517i
\(395\) 1.21967e7 1.21967e7i 0.197902 0.197902i
\(396\) 3.74767e6 + 1.00419e6i 0.0603498 + 0.0161707i
\(397\) 1.17638e7 4.39032e7i 0.188008 0.701657i −0.805958 0.591972i \(-0.798349\pi\)
0.993966 0.109684i \(-0.0349839\pi\)
\(398\) −7.02399e7 7.02399e7i −1.11413 1.11413i
\(399\) −7.85754e7 1.36097e8i −1.23700 2.14254i
\(400\) −4.74275e7 2.73823e7i −0.741055 0.427848i
\(401\) −1.05105e8 + 2.81628e7i −1.63001 + 0.436759i −0.953920 0.300062i \(-0.902993\pi\)
−0.676088 + 0.736821i \(0.736326\pi\)
\(402\) 6.30784e7i 0.970962i
\(403\) 1.27596e7 + 1.22964e7i 0.194950 + 0.187873i
\(404\) 8.57538e6 0.130050
\(405\) −1.47208e7 5.49388e7i −0.221598 0.827016i
\(406\) −3.90206e7 + 6.75857e7i −0.583064 + 1.00990i
\(407\) −1.23916e6 + 715428.i −0.0183799 + 0.0106116i
\(408\) 6.19339e7 6.19339e7i 0.911902 0.911902i
\(409\) −1.02741e8 2.75294e7i −1.50167 0.402371i −0.588010 0.808854i \(-0.700088\pi\)
−0.913658 + 0.406483i \(0.866755\pi\)
\(410\) −3.71803e6 + 1.38759e7i −0.0539463 + 0.201330i
\(411\) 1.54311e8 + 1.54311e8i 2.22265 + 2.22265i
\(412\) 366794. + 635305.i 0.00524481 + 0.00908428i
\(413\) 1.14809e7 + 6.62847e6i 0.162976 + 0.0940943i
\(414\) 4.30352e7 1.15313e7i 0.606489 0.162508i
\(415\) 1.44296e7i 0.201887i
\(416\) −2.49826e6 + 1.00641e7i −0.0347023 + 0.139796i
\(417\) −3.25631e7 −0.449074
\(418\) 9.25739e6 + 3.45490e7i 0.126753 + 0.473050i
\(419\) 2.29636e7 3.97742e7i 0.312175 0.540703i −0.666658 0.745364i \(-0.732276\pi\)
0.978833 + 0.204661i \(0.0656091\pi\)
\(420\) −2.01727e6 + 1.16467e6i −0.0272280 + 0.0157201i
\(421\) 7.31482e6 7.31482e6i 0.0980296 0.0980296i −0.656391 0.754421i \(-0.727918\pi\)
0.754421 + 0.656391i \(0.227918\pi\)
\(422\) 7.13710e7 + 1.91238e7i 0.949695 + 0.254470i
\(423\) −4.90454e7 + 1.83040e8i −0.648004 + 2.41838i
\(424\) −1.54303e7 1.54303e7i −0.202430 0.202430i
\(425\) 2.34140e7 + 4.05542e7i 0.305006 + 0.528285i
\(426\) −8.09145e6 4.67160e6i −0.104664 0.0604278i
\(427\) −2.36914e7 + 6.34809e6i −0.304304 + 0.0815379i
\(428\) 3.66283e6i 0.0467181i
\(429\) −4.83614e7 1.20050e7i −0.612530 0.152051i
\(430\) −1.74341e7 −0.219278
\(431\) 2.76741e7 + 1.03281e8i 0.345654 + 1.29000i 0.891847 + 0.452338i \(0.149410\pi\)
−0.546193 + 0.837660i \(0.683923\pi\)
\(432\) 1.13293e8 1.96229e8i 1.40525 2.43396i
\(433\) −5.85283e7 + 3.37913e7i −0.720945 + 0.416238i −0.815100 0.579320i \(-0.803318\pi\)
0.0941553 + 0.995558i \(0.469985\pi\)
\(434\) −1.28436e7 + 1.28436e7i −0.157115 + 0.157115i
\(435\) 5.77705e7 + 1.54796e7i 0.701841 + 0.188058i
\(436\) −1.23000e6 + 4.59042e6i −0.0148404 + 0.0553851i
\(437\) −2.25886e7 2.25886e7i −0.270673 0.270673i
\(438\) −1.07544e8 1.86272e8i −1.27986 2.21679i
\(439\) 1.06122e8 + 6.12697e7i 1.25433 + 0.724190i 0.971967 0.235117i \(-0.0755472\pi\)
0.282367 + 0.959307i \(0.408881\pi\)
\(440\) 7.60837e6 2.03866e6i 0.0893169 0.0239324i
\(441\) 6.12265e7i 0.713877i
\(442\) −3.79625e7 + 3.93924e7i −0.439631 + 0.456190i
\(443\) −5.77308e7 −0.664043 −0.332022 0.943272i \(-0.607731\pi\)
−0.332022 + 0.943272i \(0.607731\pi\)
\(444\) −198157. 739532.i −0.00226392 0.00844906i
\(445\) 1.67593e6 2.90279e6i 0.0190184 0.0329409i
\(446\) 9.58620e7 5.53460e7i 1.08054 0.623852i
\(447\) 2.17165e8 2.17165e8i 2.43146 2.43146i
\(448\) −7.85390e7 2.10445e7i −0.873477 0.234047i
\(449\) 6.40068e6 2.38877e7i 0.0707110 0.263897i −0.921516 0.388341i \(-0.873048\pi\)
0.992227 + 0.124444i \(0.0397148\pi\)
\(450\) 1.49924e8 + 1.49924e8i 1.64526 + 1.64526i
\(451\) 1.22495e7 + 2.12167e7i 0.133533 + 0.231285i
\(452\) 7.25841e6 + 4.19065e6i 0.0786007 + 0.0453801i
\(453\) 1.58373e8 4.24360e7i 1.70368 0.456499i
\(454\) 7.93613e7i 0.848088i
\(455\) 1.85171e7 1.11522e7i 0.196580 0.118393i
\(456\) −2.84348e8 −2.99885
\(457\) −1.88715e7 7.04296e7i −0.197724 0.737915i −0.991545 0.129764i \(-0.958578\pi\)
0.793821 0.608151i \(-0.208089\pi\)
\(458\) −5.23028e7 + 9.05911e7i −0.544413 + 0.942951i
\(459\) −1.67791e8 + 9.68743e7i −1.73513 + 1.00178i
\(460\) −334815. + 334815.i −0.00343979 + 0.00343979i
\(461\) 7.48291e7 + 2.00504e7i 0.763779 + 0.204654i 0.619622 0.784901i \(-0.287286\pi\)
0.144158 + 0.989555i \(0.453953\pi\)
\(462\) 1.32193e7 4.93352e7i 0.134055 0.500300i
\(463\) −3.84509e6 3.84509e6i −0.0387404 0.0387404i 0.687471 0.726212i \(-0.258721\pi\)
−0.726212 + 0.687471i \(0.758721\pi\)
\(464\) 6.54820e7 + 1.13418e8i 0.655493 + 1.13535i
\(465\) 1.20551e7 + 6.96000e6i 0.119898 + 0.0692230i
\(466\) 5.54283e7 1.48520e7i 0.547739 0.146766i
\(467\) 2.27164e7i 0.223043i 0.993762 + 0.111521i \(0.0355724\pi\)
−0.993762 + 0.111521i \(0.964428\pi\)
\(468\) 9.32272e6 1.68596e7i 0.0909505 0.164478i
\(469\) −4.66663e7 −0.452361
\(470\) 6.70175e6 + 2.50113e7i 0.0645498 + 0.240903i
\(471\) −3.98268e7 + 6.89821e7i −0.381165 + 0.660197i
\(472\) 2.07734e7 1.19935e7i 0.197552 0.114057i
\(473\) −2.10240e7 + 2.10240e7i −0.198670 + 0.198670i
\(474\) −1.95478e8 5.23783e7i −1.83554 0.491831i
\(475\) 3.93466e7 1.46844e8i 0.367136 1.37017i
\(476\) 3.08398e6 + 3.08398e6i 0.0285950 + 0.0285950i
\(477\) 3.91778e7 + 6.78579e7i 0.360982 + 0.625238i
\(478\) −8.55235e7 4.93770e7i −0.783072 0.452107i
\(479\) 2.53370e7 6.78903e6i 0.230541 0.0617733i −0.141699 0.989910i \(-0.545256\pi\)
0.372240 + 0.928136i \(0.378590\pi\)
\(480\) 8.14570e6i 0.0736554i
\(481\) 1.96541e6 + 6.82764e6i 0.0176611 + 0.0613529i
\(482\) 1.51358e8 1.35165
\(483\) 1.18065e7 + 4.40625e7i 0.104780 + 0.391046i
\(484\) −3.63890e6 + 6.30277e6i −0.0320948 + 0.0555898i
\(485\) −1.20234e7 + 6.94171e6i −0.105391 + 0.0608473i
\(486\) −2.33697e8 + 2.33697e8i −2.03584 + 2.03584i
\(487\) −1.36679e8 3.66230e7i −1.18335 0.317079i −0.387098 0.922039i \(-0.626522\pi\)
−0.796256 + 0.604960i \(0.793189\pi\)
\(488\) −1.14862e7 + 4.28671e7i −0.0988364 + 0.368863i
\(489\) −1.32660e8 1.32660e8i −1.13453 1.13453i
\(490\) −4.18311e6 7.24536e6i −0.0355558 0.0615845i
\(491\) −1.88164e8 1.08636e8i −1.58961 0.917763i −0.993370 0.114957i \(-0.963327\pi\)
−0.596241 0.802805i \(-0.703340\pi\)
\(492\) −1.26622e7 + 3.39282e6i −0.106319 + 0.0284882i
\(493\) 1.11984e8i 0.934579i
\(494\) 1.77574e8 3.28254e6i 1.47299 0.0272288i
\(495\) −2.82833e7 −0.233192
\(496\) 7.88905e6 + 2.94423e7i 0.0646516 + 0.241283i
\(497\) 3.45612e6 5.98617e6i 0.0281527 0.0487618i
\(498\) 1.46616e8 8.46489e7i 1.18712 0.685383i
\(499\) 8.51779e7 8.51779e7i 0.685528 0.685528i −0.275712 0.961240i \(-0.588914\pi\)
0.961240 + 0.275712i \(0.0889137\pi\)
\(500\) −4.52337e6 1.21203e6i −0.0361869 0.00969626i
\(501\) 1.85101e7 6.90806e7i 0.147196 0.549342i
\(502\) −6.02059e7 6.02059e7i −0.475914 0.475914i
\(503\) 5.49564e7 + 9.51872e7i 0.431831 + 0.747954i 0.997031 0.0770003i \(-0.0245342\pi\)
−0.565200 + 0.824954i \(0.691201\pi\)
\(504\) 2.54085e8 + 1.46696e8i 1.98467 + 1.14585i
\(505\) −6.03822e7 + 1.61794e7i −0.468851 + 0.125628i
\(506\) 1.03825e7i 0.0801399i
\(507\) −1.15709e8 + 2.18703e8i −0.887858 + 1.67815i
\(508\) 5.27344e6 0.0402256
\(509\) −5.70922e7 2.13071e8i −0.432936 1.61574i −0.745958 0.665993i \(-0.768008\pi\)
0.313023 0.949746i \(-0.398658\pi\)
\(510\) −2.14875e7 + 3.72174e7i −0.161985 + 0.280566i
\(511\) 1.37806e8 7.95626e7i 1.03278 0.596275i
\(512\) −1.03044e8 + 1.03044e8i −0.767736 + 0.767736i
\(513\) 6.07559e8 + 1.62795e8i 4.50025 + 1.20584i
\(514\) −3.38892e7 + 1.26476e8i −0.249558 + 0.931364i
\(515\) −3.78136e6 3.78136e6i −0.0276839 0.0276839i
\(516\) −7.95459e6 1.37778e7i −0.0578987 0.100283i
\(517\) 3.82431e7 + 2.20797e7i 0.276746 + 0.159779i
\(518\) −7.03445e6 + 1.88488e6i −0.0506106 + 0.0135611i
\(519\) 5.38983e7i 0.385543i
\(520\) −722879. 3.91053e7i −0.00514109 0.278116i
\(521\) 1.33068e8 0.940934 0.470467 0.882417i \(-0.344085\pi\)
0.470467 + 0.882417i \(0.344085\pi\)
\(522\) −1.31231e8 4.89759e8i −0.922622 3.44327i
\(523\) −6.57792e7 + 1.13933e8i −0.459815 + 0.796423i −0.998951 0.0457956i \(-0.985418\pi\)
0.539136 + 0.842219i \(0.318751\pi\)
\(524\) −2.08697e6 + 1.20491e6i −0.0145051 + 0.00837454i
\(525\) −1.53503e8 + 1.53503e8i −1.06081 + 1.06081i
\(526\) 1.08916e8 + 2.91840e7i 0.748402 + 0.200534i
\(527\) 6.74574e6 2.51754e7i 0.0460890 0.172007i
\(528\) −6.06073e7 6.06073e7i −0.411740 0.411740i
\(529\) −6.93815e7 1.20172e8i −0.468680 0.811778i
\(530\) 9.27237e6 + 5.35340e6i 0.0622821 + 0.0359586i
\(531\) −8.31959e7 + 2.22923e7i −0.555672 + 0.148892i
\(532\) 1.41590e7i 0.0940368i
\(533\) 1.16902e8 3.36514e7i 0.772040 0.222240i
\(534\) −3.93263e7 −0.258261
\(535\) 6.91074e6 + 2.57912e7i 0.0451298 + 0.168427i
\(536\) −4.22189e7 + 7.31253e7i −0.274165 + 0.474868i
\(537\) −2.60973e8 + 1.50673e8i −1.68528 + 0.972998i
\(538\) 4.30764e7 4.30764e7i 0.276626 0.276626i
\(539\) −1.37817e7 3.69280e6i −0.0880110 0.0235825i
\(540\) 2.41300e6 9.00542e6i 0.0153241 0.0571904i
\(541\) 1.16236e8 + 1.16236e8i 0.734088 + 0.734088i 0.971427 0.237339i \(-0.0762752\pi\)
−0.237339 + 0.971427i \(0.576275\pi\)
\(542\) 3.88069e7 + 6.72155e7i 0.243731 + 0.422155i
\(543\) 1.68380e8 + 9.72144e7i 1.05170 + 0.607199i
\(544\) 1.47321e7 3.94747e6i 0.0915102 0.0245201i
\(545\) 3.46434e7i 0.214008i
\(546\) −2.21943e8 1.22726e8i −1.36353 0.753980i
\(547\) 1.69958e8 1.03844 0.519219 0.854642i \(-0.326223\pi\)
0.519219 + 0.854642i \(0.326223\pi\)
\(548\) 5.08890e6 + 1.89920e7i 0.0309231 + 0.115406i
\(549\) 7.96768e7 1.38004e8i 0.481521 0.834018i
\(550\) 4.27896e7 2.47046e7i 0.257187 0.148487i
\(551\) −2.57068e8 + 2.57068e8i −1.53671 + 1.53671i
\(552\) 7.97264e7 + 2.13626e7i 0.474007 + 0.127010i
\(553\) 3.87502e7 1.44618e8i 0.229139 0.855158i
\(554\) −5.64769e7 5.64769e7i −0.332155 0.332155i
\(555\) 2.79058e6 + 4.83343e6i 0.0163236 + 0.0282733i
\(556\) −2.54081e6 1.46694e6i −0.0147825 0.00853468i
\(557\) −5.54535e7 + 1.48587e7i −0.320895 + 0.0859836i −0.415671 0.909515i \(-0.636453\pi\)
0.0947758 + 0.995499i \(0.469787\pi\)
\(558\) 1.18009e8i 0.679224i
\(559\) 7.61684e7 + 1.26470e8i 0.436053 + 0.724024i
\(560\) 3.71820e7 0.211723
\(561\) 1.89689e7 + 7.07928e7i 0.107437 + 0.400959i
\(562\) −1.39744e8 + 2.42043e8i −0.787270 + 1.36359i
\(563\) −1.88817e8 + 1.09014e8i −1.05808 + 0.610880i −0.924899 0.380212i \(-0.875851\pi\)
−0.133176 + 0.991092i \(0.542518\pi\)
\(564\) −1.67080e7 + 1.67080e7i −0.0931296 + 0.0931296i
\(565\) −5.90156e7 1.58132e7i −0.327206 0.0876746i
\(566\) 2.67961e7 1.00004e8i 0.147782 0.551530i
\(567\) −3.49093e8 3.49093e8i −1.91510 1.91510i
\(568\) −6.25348e6 1.08313e7i −0.0341253 0.0591068i
\(569\) −1.21331e7 7.00506e6i −0.0658622 0.0380255i 0.466707 0.884412i \(-0.345440\pi\)
−0.532569 + 0.846386i \(0.678773\pi\)
\(570\) 1.34761e8 3.61092e7i 0.727680 0.194981i
\(571\) 1.98776e8i 1.06772i 0.845573 + 0.533859i \(0.179259\pi\)
−0.845573 + 0.533859i \(0.820741\pi\)
\(572\) −3.23270e6 3.11535e6i −0.0172734 0.0166463i
\(573\) −3.60492e8 −1.91616
\(574\) 3.22726e7 + 1.20443e8i 0.170647 + 0.636863i
\(575\) −2.20643e7 + 3.82164e7i −0.116061 + 0.201023i
\(576\) 4.57496e8 2.64135e8i 2.39397 1.38216i
\(577\) 1.71873e8 1.71873e8i 0.894705 0.894705i −0.100257 0.994962i \(-0.531966\pi\)
0.994962 + 0.100257i \(0.0319664\pi\)
\(578\) −1.01941e8 2.73151e7i −0.527918 0.141455i
\(579\) 9.06364e7 3.38260e8i 0.466946 1.74267i
\(580\) 3.81034e6 + 3.81034e6i 0.0195290 + 0.0195290i
\(581\) 6.26245e7 + 1.08469e8i 0.319313 + 0.553066i
\(582\) 1.41067e8 + 8.14450e7i 0.715577 + 0.413138i
\(583\) 1.76374e7 4.72592e6i 0.0890078 0.0238496i
\(584\) 2.87920e8i 1.44555i
\(585\) −3.38352e7 + 1.36303e8i −0.169005 + 0.680830i
\(586\) −1.98171e8 −0.984796
\(587\) −2.54224e7 9.48775e7i −0.125690 0.469082i 0.874173 0.485614i \(-0.161404\pi\)
−0.999863 + 0.0165321i \(0.994737\pi\)
\(588\) 3.81722e6 6.61161e6i 0.0187765 0.0325219i
\(589\) −7.32775e7 + 4.23068e7i −0.358612 + 0.207045i
\(590\) −8.32210e6 + 8.32210e6i −0.0405207 + 0.0405207i
\(591\) −2.55070e8 6.83459e7i −1.23566 0.331093i
\(592\) −3.16308e6 + 1.18048e7i −0.0152456 + 0.0568974i
\(593\) −4.52139e7 4.52139e7i −0.216824 0.216824i 0.590334 0.807159i \(-0.298996\pi\)
−0.807159 + 0.590334i \(0.798996\pi\)
\(594\) 1.02214e8 + 1.77040e8i 0.487698 + 0.844719i
\(595\) −2.75340e7 1.58967e7i −0.130713 0.0754670i
\(596\) 2.67279e7 7.16172e6i 0.126248 0.0338282i
\(597\) 6.60782e8i 3.10553i
\(598\) −5.00354e7 1.24205e7i −0.233977 0.0580812i
\(599\) 1.41911e8 0.660292 0.330146 0.943930i \(-0.392902\pi\)
0.330146 + 0.943930i \(0.392902\pi\)
\(600\) 1.01663e8 + 3.79410e8i 0.470660 + 1.75653i
\(601\) −4.95083e7 + 8.57509e7i −0.228063 + 0.395017i −0.957234 0.289315i \(-0.906573\pi\)
0.729171 + 0.684331i \(0.239906\pi\)
\(602\) −1.31054e8 + 7.56643e7i −0.600706 + 0.346818i
\(603\) 2.14389e8 2.14389e8i 0.977803 0.977803i
\(604\) 1.42691e7 + 3.82341e6i 0.0647571 + 0.0173516i
\(605\) 1.37312e7 5.12456e7i 0.0620073 0.231414i
\(606\) 5.18619e8 + 5.18619e8i 2.33040 + 2.33040i
\(607\) −1.90406e8 3.29792e8i −0.851361 1.47460i −0.879981 0.475010i \(-0.842445\pi\)
0.0286197 0.999590i \(-0.490889\pi\)
\(608\) −4.28805e7 2.47570e7i −0.190787 0.110151i
\(609\) 5.01450e8 1.34363e8i 2.22012 0.594878i
\(610\) 2.17747e7i 0.0959317i
\(611\) 1.52157e8 1.57888e8i 0.667065 0.692191i
\(612\) −2.83362e7 −0.123619
\(613\) 4.37989e6 + 1.63460e7i 0.0190144 + 0.0709626i 0.974781 0.223163i \(-0.0716382\pi\)
−0.955767 + 0.294126i \(0.904972\pi\)
\(614\) 8.21853e7 1.42349e8i 0.355050 0.614964i
\(615\) 8.27574e7 4.77800e7i 0.355780 0.205410i
\(616\) 4.83453e7 4.83453e7i 0.206829 0.206829i
\(617\) −1.16111e8 3.11118e7i −0.494330 0.132455i 0.00303756 0.999995i \(-0.499033\pi\)
−0.497367 + 0.867540i \(0.665700\pi\)
\(618\) −1.62389e7 + 6.06045e7i −0.0688006 + 0.256767i
\(619\) 1.92617e8 + 1.92617e8i 0.812127 + 0.812127i 0.984952 0.172826i \(-0.0552898\pi\)
−0.172826 + 0.984952i \(0.555290\pi\)
\(620\) 627083. + 1.08614e6i 0.00263118 + 0.00455733i
\(621\) −1.58119e8 9.12900e7i −0.660251 0.381196i
\(622\) 2.58778e8 6.93394e7i 1.07537 0.288143i
\(623\) 2.90942e7i 0.120321i
\(624\) −3.64585e8 + 2.19576e8i −1.50053 + 0.903714i
\(625\) −1.92292e8 −0.787629
\(626\) −7.27344e7 2.71448e8i −0.296495 1.10653i
\(627\) 1.18966e8 2.06055e8i 0.482635 0.835949i
\(628\) −6.21516e6 + 3.58832e6i −0.0250942 + 0.0144881i
\(629\) 7.38931e6 7.38931e6i 0.0296929 0.0296929i
\(630\) −1.39048e8 3.72578e7i −0.556087 0.149003i
\(631\) −9.37893e7 + 3.50026e8i −0.373306 + 1.39320i 0.482498 + 0.875897i \(0.339730\pi\)
−0.855804 + 0.517300i \(0.826937\pi\)
\(632\) −1.91556e8 1.91556e8i −0.758830 0.758830i
\(633\) −2.45758e8 4.25665e8i −0.968938 1.67825i
\(634\) −1.75082e8 1.01084e8i −0.687028 0.396656i
\(635\) −3.71321e7 + 9.94952e6i −0.145020 + 0.0388580i
\(636\) 9.77029e6i 0.0379784i
\(637\) −3.42834e7 + 6.19995e7i −0.132637 + 0.239867i
\(638\) −1.18157e8 −0.454985
\(639\) 1.16233e7 + 4.33788e7i 0.0445479 + 0.166255i
\(640\) 3.10074e7 5.37064e7i 0.118284 0.204874i
\(641\) 1.77643e8 1.02562e8i 0.674486 0.389415i −0.123288 0.992371i \(-0.539344\pi\)
0.797774 + 0.602956i \(0.206011\pi\)
\(642\) 2.21519e8 2.21519e8i 0.837156 0.837156i
\(643\) 3.95822e8 + 1.06060e8i 1.48891 + 0.398951i 0.909367 0.415994i \(-0.136566\pi\)
0.579538 + 0.814945i \(0.303233\pi\)
\(644\) −1.06374e6 + 3.96995e6i −0.00398272 + 0.0148637i
\(645\) 8.20058e7 + 8.20058e7i 0.305609 + 0.305609i
\(646\) −1.30613e8 2.26228e8i −0.484493 0.839167i
\(647\) 1.86010e8 + 1.07393e8i 0.686789 + 0.396518i 0.802408 0.596776i \(-0.203552\pi\)
−0.115619 + 0.993294i \(0.536885\pi\)
\(648\) −8.62846e8 + 2.31199e8i −3.17109 + 0.849690i
\(649\) 2.00714e7i 0.0734250i
\(650\) −6.78678e7 2.35766e8i −0.247129 0.858503i
\(651\) 1.20826e8 0.437943
\(652\) −4.37490e6 1.63273e7i −0.0157843 0.0589078i
\(653\) 5.02440e7 8.70251e7i 0.180445 0.312540i −0.761587 0.648062i \(-0.775580\pi\)
0.942032 + 0.335523i \(0.108913\pi\)
\(654\) −3.52005e8 + 2.03230e8i −1.25839 + 0.726532i
\(655\) 1.24217e7 1.24217e7i 0.0442036 0.0442036i
\(656\) 2.02120e8 + 5.41578e7i 0.715974 + 0.191845i
\(657\) −2.67578e8 + 9.98614e8i −0.943526 + 3.52129i
\(658\) 1.58927e8 + 1.58927e8i 0.557854 + 0.557854i
\(659\) 1.74601e8 + 3.02417e8i 0.610084 + 1.05670i 0.991226 + 0.132180i \(0.0421978\pi\)
−0.381141 + 0.924517i \(0.624469\pi\)
\(660\) −3.05420e6 1.76334e6i −0.0106235 0.00613346i
\(661\) −4.12015e8 + 1.10399e8i −1.42662 + 0.382262i −0.887828 0.460176i \(-0.847786\pi\)
−0.538794 + 0.842438i \(0.681120\pi\)
\(662\) 9.64780e7i 0.332548i
\(663\) 3.63859e8 6.72609e6i 1.24851 0.0230793i
\(664\) 2.26625e8 0.774111
\(665\) 2.67141e7 + 9.96984e7i 0.0908397 + 0.339018i
\(666\) 2.36576e7 4.09762e7i 0.0800845 0.138710i
\(667\) 9.13907e7 5.27645e7i 0.307981 0.177813i
\(668\) 4.55631e6 4.55631e6i 0.0152856 0.0152856i
\(669\) −7.11245e8 1.90578e8i −2.37542 0.636493i
\(670\) 1.07227e7 4.00177e7i 0.0356517 0.133054i
\(671\) −2.62583e7 2.62583e7i −0.0869159 0.0869159i
\(672\) 3.53524e7 + 6.12322e7i 0.116496 + 0.201777i
\(673\) −8.43084e7 4.86755e7i −0.276583 0.159685i 0.355292 0.934755i \(-0.384381\pi\)
−0.631875 + 0.775070i \(0.717715\pi\)
\(674\) −2.28105e8 + 6.11207e7i −0.744999 + 0.199622i
\(675\) 8.68880e8i 2.82519i
\(676\) −1.88808e7 + 1.18522e7i −0.0611197 + 0.0383671i
\(677\) 3.36143e8 1.08332 0.541662 0.840597i \(-0.317795\pi\)
0.541662 + 0.840597i \(0.317795\pi\)
\(678\) 1.85531e8 + 6.92412e8i 0.595289 + 2.22165i
\(679\) −6.02543e7 + 1.04363e8i −0.192477 + 0.333380i
\(680\) −4.98198e7 + 2.87635e7i −0.158444 + 0.0914775i
\(681\) 3.73296e8 3.73296e8i 1.18198 1.18198i
\(682\) −2.65631e7 7.11757e6i −0.0837387 0.0224377i
\(683\) 2.77282e7 1.03483e8i 0.0870281 0.324793i −0.908662 0.417532i \(-0.862895\pi\)
0.995691 + 0.0927383i \(0.0295620\pi\)
\(684\) 6.50478e7 + 6.50478e7i 0.203266 + 0.203266i
\(685\) −7.16654e7 1.24128e8i −0.222966 0.386188i
\(686\) −2.92335e8 1.68779e8i −0.905541 0.522814i
\(687\) 6.72138e8 1.80099e8i 2.07295 0.555444i
\(688\) 2.53950e8i 0.779800i
\(689\) −1.67574e6 9.06520e7i −0.00512330 0.277153i
\(690\) −4.04976e7 −0.123277
\(691\) −8.75509e7 3.26745e8i −0.265355 0.990317i −0.962033 0.272933i \(-0.912006\pi\)
0.696678 0.717384i \(-0.254660\pi\)
\(692\) 2.42807e6 4.20554e6i 0.00732728 0.0126912i
\(693\) −2.12609e8 + 1.22750e8i −0.638824 + 0.368825i
\(694\) −1.10324e8 + 1.10324e8i −0.330058 + 0.330058i
\(695\) 2.06584e7 + 5.53541e6i 0.0615379 + 0.0164890i
\(696\) 2.43116e8 9.07320e8i 0.721083 2.69112i
\(697\) −1.26519e8 1.26519e8i −0.373643 0.373643i
\(698\) 2.62464e8 + 4.54601e8i 0.771799 + 1.33679i
\(699\) −3.30581e8 1.90861e8i −0.967935 0.558838i
\(700\) −1.88926e7 + 5.06225e6i −0.0550804 + 0.0147588i
\(701\) 1.37195e7i 0.0398276i 0.999802 + 0.0199138i \(0.00633918\pi\)
−0.999802 + 0.0199138i \(0.993661\pi\)
\(702\) 9.75473e8 2.80800e8i 2.81971 0.811682i
\(703\) −3.39254e7 −0.0976471
\(704\) −3.18620e7 1.18910e8i −0.0913176 0.340802i
\(705\) 8.61235e7 1.49170e8i 0.245784 0.425711i
\(706\) 4.34721e8 2.50986e8i 1.23537 0.713240i
\(707\) −3.83682e8 + 3.83682e8i −1.08571 + 1.08571i
\(708\) −1.03738e7 2.77966e6i −0.0292307 0.00783235i
\(709\) −1.10767e8 + 4.13389e8i −0.310794 + 1.15990i 0.617047 + 0.786926i \(0.288329\pi\)
−0.927842 + 0.372974i \(0.878338\pi\)
\(710\) 4.33919e6 + 4.33919e6i 0.0121236 + 0.0121236i
\(711\) 4.86365e8 + 8.42409e8i 1.35317 + 2.34377i
\(712\) −4.55900e7 2.63214e7i −0.126308 0.0729238i
\(713\) 2.37242e7 6.35689e6i 0.0654521 0.0175378i
\(714\) 3.73023e8i 1.02481i
\(715\) 2.86403e7 + 1.58371e7i 0.0783538 + 0.0433268i
\(716\) −2.71507e7 −0.0739677
\(717\) 1.70024e8 + 6.34539e8i 0.461268 + 1.72147i
\(718\) 2.57784e8 4.46495e8i 0.696438 1.20627i
\(719\) −3.99579e8 + 2.30697e8i −1.07502 + 0.620663i −0.929548 0.368700i \(-0.879803\pi\)
−0.145471 + 0.989363i \(0.546470\pi\)
\(720\) −1.70818e8 + 1.70818e8i −0.457652 + 0.457652i
\(721\) −4.48361e7 1.20138e7i −0.119625 0.0320535i
\(722\) −1.25661e8 + 4.68974e8i −0.333880 + 1.24606i
\(723\) −7.11950e8 7.11950e8i −1.88380 1.88380i
\(724\) 8.75884e6 + 1.51708e7i 0.0230797 + 0.0399753i
\(725\) 4.34919e8 + 2.51101e8i 1.14129 + 0.658922i
\(726\) −6.01249e8 + 1.61104e8i −1.57125 + 0.421014i
\(727\) 1.11362e8i 0.289823i −0.989445 0.144911i \(-0.953710\pi\)
0.989445 0.144911i \(-0.0462897\pi\)
\(728\) −1.75151e8 2.90822e8i −0.453962 0.753760i
\(729\) 9.66960e8 2.49589
\(730\) 3.65628e7 + 1.36454e8i 0.0939878 + 0.350767i
\(731\) 1.08573e8 1.88055e8i 0.277953 0.481429i
\(732\) 1.72080e7 9.93503e6i 0.0438729 0.0253301i
\(733\) 1.83409e7 1.83409e7i 0.0465703 0.0465703i −0.683438 0.730008i \(-0.739516\pi\)
0.730008 + 0.683438i \(0.239516\pi\)
\(734\) 4.93810e8 + 1.32316e8i 1.24874 + 0.334598i
\(735\) −1.44041e7 + 5.37567e7i −0.0362763 + 0.135385i
\(736\) 1.01630e7 + 1.01630e7i 0.0254911 + 0.0254911i
\(737\) −3.53271e7 6.11884e7i −0.0882482 0.152850i
\(738\) −7.01589e8 4.05063e8i −1.74548 1.00775i
\(739\) −4.18839e8 + 1.12227e8i −1.03780 + 0.278078i −0.737201 0.675673i \(-0.763853\pi\)
−0.300598 + 0.953751i \(0.597186\pi\)
\(740\) 502853.i 0.00124093i
\(741\) −8.50705e8 8.19824e8i −2.09086 2.01496i
\(742\) 9.29354e7 0.227494
\(743\) −1.22923e8 4.58755e8i −0.299686 1.11844i −0.937424 0.348190i \(-0.886796\pi\)
0.637738 0.770253i \(-0.279870\pi\)
\(744\) 1.09311e8 1.89332e8i 0.265427 0.459733i
\(745\) −1.74688e8 + 1.00856e8i −0.422469 + 0.243912i
\(746\) −3.30488e8 + 3.30488e8i −0.796048 + 0.796048i
\(747\) −7.86019e8 2.10613e8i −1.88569 0.505270i
\(748\) −1.70906e6 + 6.37830e6i −0.00408369 + 0.0152405i
\(749\) 1.63883e8 + 1.63883e8i 0.390022 + 0.390022i
\(750\) −2.00262e8 3.46863e8i −0.474694 0.822194i
\(751\) 4.43339e8 + 2.55962e8i 1.04669 + 0.604304i 0.921720 0.387857i \(-0.126784\pi\)
0.124966 + 0.992161i \(0.460118\pi\)
\(752\) 3.64321e8 9.76196e7i 0.856704 0.229553i
\(753\) 5.66388e8i 1.32657i
\(754\) −1.41351e8 + 5.69424e8i −0.329749 + 1.32838i
\(755\) −1.07688e8 −0.250222
\(756\) −2.09449e7 7.81673e7i −0.0484744 0.180909i
\(757\) 2.40493e8 4.16547e8i 0.554390 0.960232i −0.443560 0.896244i \(-0.646285\pi\)
0.997951 0.0639876i \(-0.0203818\pi\)
\(758\) −6.67292e8 + 3.85261e8i −1.53217 + 0.884601i
\(759\) −4.88366e7 + 4.88366e7i −0.111691 + 0.111691i
\(760\) 1.80394e8 + 4.83363e7i 0.410942 + 0.110112i
\(761\) −8.23634e7 + 3.07385e8i −0.186888 + 0.697474i 0.807331 + 0.590099i \(0.200911\pi\)
−0.994219 + 0.107375i \(0.965755\pi\)
\(762\) 3.18925e8 + 3.18925e8i 0.720815 + 0.720815i
\(763\) −1.50353e8 2.60418e8i −0.338484