Properties

Label 43.6.e.a.4.11
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 4.11
Character \(\chi\) \(=\) 43.4
Dual form 43.6.e.a.11.11

$q$-expansion

\(f(q)\) \(=\) \(q+(0.240368 - 0.301412i) q^{2} +(8.08269 + 10.1354i) q^{3} +(7.08760 + 31.0528i) q^{4} +(33.3160 + 16.0441i) q^{5} +4.99775 q^{6} -195.731 q^{7} +(22.1783 + 10.6805i) q^{8} +(16.6767 - 73.0652i) q^{9} +O(q^{10})\) \(q+(0.240368 - 0.301412i) q^{2} +(8.08269 + 10.1354i) q^{3} +(7.08760 + 31.0528i) q^{4} +(33.3160 + 16.0441i) q^{5} +4.99775 q^{6} -195.731 q^{7} +(22.1783 + 10.6805i) q^{8} +(16.6767 - 73.0652i) q^{9} +(12.8440 - 6.18535i) q^{10} +(-118.569 + 519.484i) q^{11} +(-257.445 + 322.826i) q^{12} +(330.557 + 159.188i) q^{13} +(-47.0474 + 58.9956i) q^{14} +(106.670 + 467.350i) q^{15} +(-909.757 + 438.116i) q^{16} +(1704.28 - 820.737i) q^{17} +(-18.0142 - 22.5891i) q^{18} +(168.830 + 739.694i) q^{19} +(-262.085 + 1148.27i) q^{20} +(-1582.03 - 1983.80i) q^{21} +(128.078 + 160.605i) q^{22} +(-707.903 + 3101.53i) q^{23} +(71.0093 + 311.112i) q^{24} +(-1095.86 - 1374.17i) q^{25} +(127.437 - 61.3702i) q^{26} +(3713.53 - 1788.34i) q^{27} +(-1387.26 - 6077.98i) q^{28} +(1603.49 - 2010.72i) q^{29} +(166.505 + 80.1846i) q^{30} +(4485.88 - 5625.12i) q^{31} +(-261.906 + 1147.48i) q^{32} +(-6223.52 + 2997.09i) q^{33} +(162.274 - 710.969i) q^{34} +(-6520.96 - 3140.33i) q^{35} +2387.08 q^{36} +7266.79 q^{37} +(263.534 + 126.911i) q^{38} +(1058.36 + 4636.99i) q^{39} +(567.532 + 711.662i) q^{40} +(7512.66 - 9420.58i) q^{41} -978.212 q^{42} +(653.714 + 12107.1i) q^{43} -16971.8 q^{44} +(1727.87 - 2166.68i) q^{45} +(764.680 + 958.878i) q^{46} +(-1117.67 - 4896.84i) q^{47} +(-11793.8 - 5679.57i) q^{48} +21503.5 q^{49} -677.602 q^{50} +(22093.6 + 10639.7i) q^{51} +(-2600.38 + 11393.0i) q^{52} +(-25125.4 + 12099.8i) q^{53} +(353.587 - 1549.16i) q^{54} +(-12284.9 + 15404.8i) q^{55} +(-4340.96 - 2090.50i) q^{56} +(-6132.47 + 7689.88i) q^{57} +(-220.626 - 966.625i) q^{58} +(18889.4 - 9096.66i) q^{59} +(-13756.5 + 6624.78i) q^{60} +(9453.10 + 11853.8i) q^{61} +(-617.215 - 2704.20i) q^{62} +(-3264.13 + 14301.1i) q^{63} +(-19863.4 - 24907.9i) q^{64} +(8458.82 + 10607.0i) q^{65} +(-592.576 + 2596.25i) q^{66} +(-11439.1 - 50118.0i) q^{67} +(37565.4 + 47105.5i) q^{68} +(-37156.9 + 17893.8i) q^{69} +(-2513.96 + 1210.66i) q^{70} +(2963.98 + 12986.1i) q^{71} +(1150.23 - 1442.34i) q^{72} +(68498.0 + 32986.9i) q^{73} +(1746.70 - 2190.30i) q^{74} +(5070.20 - 22214.0i) q^{75} +(-21773.0 + 10485.3i) q^{76} +(23207.5 - 101679. i) q^{77} +(1652.04 + 795.581i) q^{78} -28300.7 q^{79} -37338.7 q^{80} +(31733.0 + 15281.8i) q^{81} +(-1033.67 - 4528.81i) q^{82} +(-57388.9 - 71963.4i) q^{83} +(50389.8 - 63186.9i) q^{84} +69947.8 q^{85} +(3806.35 + 2713.12i) q^{86} +33339.9 q^{87} +(-8177.99 + 10254.9i) q^{88} +(-52308.8 - 65593.2i) q^{89} +(-237.739 - 1041.60i) q^{90} +(-64700.2 - 31158.0i) q^{91} -101328. q^{92} +93270.7 q^{93} +(-1744.62 - 840.164i) q^{94} +(-6243.00 + 27352.4i) q^{95} +(-13747.1 + 6620.24i) q^{96} +(-30992.0 + 135785. i) q^{97} +(5168.75 - 6481.40i) q^{98} +(35978.8 + 17326.5i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.240368 0.301412i 0.0424915 0.0532826i −0.760132 0.649769i \(-0.774866\pi\)
0.802623 + 0.596486i \(0.203437\pi\)
\(3\) 8.08269 + 10.1354i 0.518505 + 0.650185i 0.970291 0.241942i \(-0.0777843\pi\)
−0.451786 + 0.892126i \(0.649213\pi\)
\(4\) 7.08760 + 31.0528i 0.221487 + 0.970400i
\(5\) 33.3160 + 16.0441i 0.595975 + 0.287006i 0.707453 0.706760i \(-0.249844\pi\)
−0.111478 + 0.993767i \(0.535558\pi\)
\(6\) 4.99775 0.0566756
\(7\) −195.731 −1.50978 −0.754890 0.655852i \(-0.772310\pi\)
−0.754890 + 0.655852i \(0.772310\pi\)
\(8\) 22.1783 + 10.6805i 0.122519 + 0.0590019i
\(9\) 16.6767 73.0652i 0.0686282 0.300680i
\(10\) 12.8440 6.18535i 0.0406163 0.0195598i
\(11\) −118.569 + 519.484i −0.295453 + 1.29446i 0.581365 + 0.813643i \(0.302519\pi\)
−0.876818 + 0.480822i \(0.840338\pi\)
\(12\) −257.445 + 322.826i −0.516097 + 0.647165i
\(13\) 330.557 + 159.188i 0.542486 + 0.261247i 0.684997 0.728546i \(-0.259803\pi\)
−0.142511 + 0.989793i \(0.545518\pi\)
\(14\) −47.0474 + 58.9956i −0.0641528 + 0.0804450i
\(15\) 106.670 + 467.350i 0.122409 + 0.536308i
\(16\) −909.757 + 438.116i −0.888434 + 0.427847i
\(17\) 1704.28 820.737i 1.43027 0.688782i 0.451222 0.892412i \(-0.350988\pi\)
0.979048 + 0.203630i \(0.0652739\pi\)
\(18\) −18.0142 22.5891i −0.0131049 0.0164330i
\(19\) 168.830 + 739.694i 0.107292 + 0.470076i 0.999818 + 0.0190803i \(0.00607383\pi\)
−0.892526 + 0.450996i \(0.851069\pi\)
\(20\) −262.085 + 1148.27i −0.146510 + 0.641902i
\(21\) −1582.03 1983.80i −0.782828 0.981636i
\(22\) 128.078 + 160.605i 0.0564182 + 0.0707462i
\(23\) −707.903 + 3101.53i −0.279032 + 1.22252i 0.619988 + 0.784612i \(0.287138\pi\)
−0.899020 + 0.437908i \(0.855720\pi\)
\(24\) 71.0093 + 311.112i 0.0251644 + 0.110253i
\(25\) −1095.86 1374.17i −0.350676 0.439734i
\(26\) 127.437 61.3702i 0.0369710 0.0178043i
\(27\) 3713.53 1788.34i 0.980343 0.472108i
\(28\) −1387.26 6077.98i −0.334397 1.46509i
\(29\) 1603.49 2010.72i 0.354056 0.443973i −0.572627 0.819816i \(-0.694076\pi\)
0.926683 + 0.375844i \(0.122647\pi\)
\(30\) 166.505 + 80.1846i 0.0337772 + 0.0162663i
\(31\) 4485.88 5625.12i 0.838385 1.05130i −0.159558 0.987189i \(-0.551007\pi\)
0.997943 0.0641130i \(-0.0204218\pi\)
\(32\) −261.906 + 1147.48i −0.0452137 + 0.198094i
\(33\) −6223.52 + 2997.09i −0.994835 + 0.479087i
\(34\) 162.274 710.969i 0.0240742 0.105476i
\(35\) −6520.96 3140.33i −0.899791 0.433316i
\(36\) 2387.08 0.306980
\(37\) 7266.79 0.872646 0.436323 0.899790i \(-0.356280\pi\)
0.436323 + 0.899790i \(0.356280\pi\)
\(38\) 263.534 + 126.911i 0.0296059 + 0.0142574i
\(39\) 1058.36 + 4636.99i 0.111423 + 0.488174i
\(40\) 567.532 + 711.662i 0.0560842 + 0.0703273i
\(41\) 7512.66 9420.58i 0.697966 0.875222i −0.298904 0.954283i \(-0.596621\pi\)
0.996870 + 0.0790616i \(0.0251924\pi\)
\(42\) −978.212 −0.0855677
\(43\) 653.714 + 12107.1i 0.0539159 + 0.998545i
\(44\) −16971.8 −1.32159
\(45\) 1727.87 2166.68i 0.127198 0.159501i
\(46\) 764.680 + 958.878i 0.0532826 + 0.0668142i
\(47\) −1117.67 4896.84i −0.0738022 0.323349i 0.924528 0.381114i \(-0.124460\pi\)
−0.998330 + 0.0577656i \(0.981602\pi\)
\(48\) −11793.8 5679.57i −0.738838 0.355805i
\(49\) 21503.5 1.27944
\(50\) −677.602 −0.0383309
\(51\) 22093.6 + 10639.7i 1.18944 + 0.572803i
\(52\) −2600.38 + 11393.0i −0.133361 + 0.584291i
\(53\) −25125.4 + 12099.8i −1.22864 + 0.591680i −0.931704 0.363218i \(-0.881678\pi\)
−0.296933 + 0.954898i \(0.595964\pi\)
\(54\) 353.587 1549.16i 0.0165010 0.0722958i
\(55\) −12284.9 + 15404.8i −0.547602 + 0.686672i
\(56\) −4340.96 2090.50i −0.184976 0.0890799i
\(57\) −6132.47 + 7689.88i −0.250005 + 0.313496i
\(58\) −220.626 966.625i −0.00861165 0.0377301i
\(59\) 18889.4 9096.66i 0.706461 0.340214i −0.0459170 0.998945i \(-0.514621\pi\)
0.752378 + 0.658732i \(0.228907\pi\)
\(60\) −13756.5 + 6624.78i −0.493321 + 0.237571i
\(61\) 9453.10 + 11853.8i 0.325274 + 0.407881i 0.917401 0.397964i \(-0.130283\pi\)
−0.592127 + 0.805845i \(0.701712\pi\)
\(62\) −617.215 2704.20i −0.0203919 0.0893427i
\(63\) −3264.13 + 14301.1i −0.103613 + 0.453960i
\(64\) −19863.4 24907.9i −0.606182 0.760128i
\(65\) 8458.82 + 10607.0i 0.248328 + 0.311394i
\(66\) −592.576 + 2596.25i −0.0167450 + 0.0733645i
\(67\) −11439.1 50118.0i −0.311319 1.36398i −0.852349 0.522974i \(-0.824823\pi\)
0.541030 0.841003i \(-0.318035\pi\)
\(68\) 37565.4 + 47105.5i 0.985180 + 1.23538i
\(69\) −37156.9 + 17893.8i −0.939543 + 0.452460i
\(70\) −2513.96 + 1210.66i −0.0613217 + 0.0295310i
\(71\) 2963.98 + 12986.1i 0.0697798 + 0.305725i 0.997759 0.0669060i \(-0.0213128\pi\)
−0.927979 + 0.372631i \(0.878456\pi\)
\(72\) 1150.23 1442.34i 0.0261489 0.0327897i
\(73\) 68498.0 + 32986.9i 1.50443 + 0.724493i 0.991028 0.133657i \(-0.0426720\pi\)
0.513398 + 0.858150i \(0.328386\pi\)
\(74\) 1746.70 2190.30i 0.0370800 0.0464969i
\(75\) 5070.20 22214.0i 0.104081 0.456009i
\(76\) −21773.0 + 10485.3i −0.432398 + 0.208232i
\(77\) 23207.5 101679.i 0.446069 1.95436i
\(78\) 1652.04 + 795.581i 0.0307457 + 0.0148064i
\(79\) −28300.7 −0.510188 −0.255094 0.966916i \(-0.582106\pi\)
−0.255094 + 0.966916i \(0.582106\pi\)
\(80\) −37338.7 −0.652280
\(81\) 31733.0 + 15281.8i 0.537400 + 0.258798i
\(82\) −1033.67 4528.81i −0.0169765 0.0743789i
\(83\) −57388.9 71963.4i −0.914392 1.14661i −0.988779 0.149382i \(-0.952271\pi\)
0.0743871 0.997229i \(-0.476300\pi\)
\(84\) 50389.8 63186.9i 0.779193 0.977076i
\(85\) 69947.8 1.05009
\(86\) 3806.35 + 2713.12i 0.0554961 + 0.0395569i
\(87\) 33339.9 0.472244
\(88\) −8177.99 + 10254.9i −0.112574 + 0.141164i
\(89\) −52308.8 65593.2i −0.700003 0.877776i 0.297021 0.954871i \(-0.404007\pi\)
−0.997024 + 0.0770948i \(0.975436\pi\)
\(90\) −237.739 1041.60i −0.00309381 0.0135549i
\(91\) −64700.2 31158.0i −0.819034 0.394426i
\(92\) −101328. −1.24813
\(93\) 93270.7 1.11825
\(94\) −1744.62 840.164i −0.0203648 0.00980718i
\(95\) −6243.00 + 27352.4i −0.0709716 + 0.310947i
\(96\) −13747.1 + 6620.24i −0.152241 + 0.0733155i
\(97\) −30992.0 + 135785.i −0.334442 + 1.46529i 0.475989 + 0.879451i \(0.342090\pi\)
−0.810431 + 0.585835i \(0.800767\pi\)
\(98\) 5168.75 6481.40i 0.0543651 0.0681716i
\(99\) 35978.8 + 17326.5i 0.368943 + 0.177674i
\(100\) 34904.8 43769.2i 0.349048 0.437692i
\(101\) −10075.6 44144.0i −0.0982803 0.430594i 0.901718 0.432324i \(-0.142306\pi\)
−0.999999 + 0.00173019i \(0.999449\pi\)
\(102\) 8517.55 4101.83i 0.0810614 0.0390371i
\(103\) 15820.2 7618.59i 0.146933 0.0707590i −0.358973 0.933348i \(-0.616873\pi\)
0.505905 + 0.862589i \(0.331159\pi\)
\(104\) 5630.98 + 7061.03i 0.0510506 + 0.0640154i
\(105\) −20878.5 91474.7i −0.184810 0.809707i
\(106\) −2392.33 + 10481.5i −0.0206803 + 0.0906064i
\(107\) 19018.4 + 23848.3i 0.160588 + 0.201372i 0.855615 0.517612i \(-0.173179\pi\)
−0.695027 + 0.718984i \(0.744608\pi\)
\(108\) 81853.1 + 102641.i 0.675267 + 0.846759i
\(109\) −16735.2 + 73321.7i −0.134916 + 0.591107i 0.861591 + 0.507603i \(0.169468\pi\)
−0.996507 + 0.0835042i \(0.973389\pi\)
\(110\) 1690.29 + 7405.64i 0.0133192 + 0.0583554i
\(111\) 58735.2 + 73651.7i 0.452472 + 0.567381i
\(112\) 178067. 85752.7i 1.34134 0.645956i
\(113\) −163509. + 78741.8i −1.20461 + 0.580109i −0.924986 0.380001i \(-0.875924\pi\)
−0.279622 + 0.960110i \(0.590209\pi\)
\(114\) 843.771 + 3696.80i 0.00608082 + 0.0266418i
\(115\) −73345.8 + 91972.8i −0.517167 + 0.648507i
\(116\) 73803.3 + 35541.8i 0.509250 + 0.245242i
\(117\) 17143.7 21497.5i 0.115782 0.145186i
\(118\) 1798.57 7880.04i 0.0118911 0.0520983i
\(119\) −333579. + 160643.i −2.15939 + 1.03991i
\(120\) −2625.78 + 11504.3i −0.0166458 + 0.0729301i
\(121\) −110703. 53311.7i −0.687377 0.331023i
\(122\) 5845.11 0.0355544
\(123\) 156204. 0.930955
\(124\) 206470. + 99430.6i 1.20587 + 0.580719i
\(125\) −40176.1 176023.i −0.229981 1.00761i
\(126\) 3525.93 + 4421.37i 0.0197855 + 0.0248102i
\(127\) −105664. + 132498.i −0.581321 + 0.728954i −0.982338 0.187117i \(-0.940086\pi\)
0.401016 + 0.916071i \(0.368657\pi\)
\(128\) −49945.8 −0.269448
\(129\) −117426. + 104483.i −0.621283 + 0.552806i
\(130\) 5230.31 0.0271437
\(131\) −72462.1 + 90864.6i −0.368921 + 0.462612i −0.931292 0.364273i \(-0.881318\pi\)
0.562372 + 0.826885i \(0.309889\pi\)
\(132\) −137178. 172015.i −0.685250 0.859276i
\(133\) −33045.3 144781.i −0.161987 0.709711i
\(134\) −17855.8 8598.89i −0.0859047 0.0413695i
\(135\) 152413. 0.719758
\(136\) 46563.8 0.215874
\(137\) −121635. 58576.5i −0.553679 0.266638i 0.136054 0.990701i \(-0.456558\pi\)
−0.689733 + 0.724063i \(0.742272\pi\)
\(138\) −3537.92 + 15500.6i −0.0158143 + 0.0692870i
\(139\) 328195. 158050.i 1.44077 0.693839i 0.459806 0.888020i \(-0.347919\pi\)
0.980966 + 0.194181i \(0.0622048\pi\)
\(140\) 51298.1 224752.i 0.221198 0.969131i
\(141\) 40597.5 50907.7i 0.171970 0.215643i
\(142\) 4626.60 + 2228.05i 0.0192549 + 0.00927267i
\(143\) −121889. + 152844.i −0.498455 + 0.625043i
\(144\) 16839.3 + 73777.9i 0.0676734 + 0.296497i
\(145\) 85682.3 41262.4i 0.338432 0.162980i
\(146\) 26407.4 12717.1i 0.102528 0.0493750i
\(147\) 173806. + 217946.i 0.663393 + 0.831869i
\(148\) 51504.1 + 225654.i 0.193280 + 0.846816i
\(149\) −50656.6 + 221941.i −0.186926 + 0.818978i 0.791298 + 0.611430i \(0.209405\pi\)
−0.978225 + 0.207548i \(0.933452\pi\)
\(150\) −5476.85 6867.75i −0.0198748 0.0249222i
\(151\) 178382. + 223684.i 0.636662 + 0.798349i 0.990581 0.136927i \(-0.0437226\pi\)
−0.353919 + 0.935276i \(0.615151\pi\)
\(152\) −4155.93 + 18208.3i −0.0145901 + 0.0639235i
\(153\) −31545.6 138211.i −0.108946 0.477323i
\(154\) −25068.9 31435.4i −0.0851791 0.106811i
\(155\) 239702. 115434.i 0.801387 0.385928i
\(156\) −136490. + 65730.3i −0.449045 + 0.216249i
\(157\) −88986.6 389876.i −0.288121 1.26234i −0.887100 0.461577i \(-0.847284\pi\)
0.598979 0.800765i \(-0.295573\pi\)
\(158\) −6802.59 + 8530.18i −0.0216786 + 0.0271841i
\(159\) −325717. 156857.i −1.02176 0.492052i
\(160\) −27136.0 + 34027.5i −0.0838005 + 0.105082i
\(161\) 138558. 607064.i 0.421277 1.84574i
\(162\) 12233.7 5891.44i 0.0366244 0.0176374i
\(163\) 104429. 457535.i 0.307860 1.34882i −0.550097 0.835101i \(-0.685409\pi\)
0.857957 0.513722i \(-0.171734\pi\)
\(164\) 345782. + 166520.i 1.00391 + 0.483455i
\(165\) −255429. −0.730398
\(166\) −35485.1 −0.0999484
\(167\) −379701. 182854.i −1.05354 0.507357i −0.174771 0.984609i \(-0.555919\pi\)
−0.878767 + 0.477252i \(0.841633\pi\)
\(168\) −13898.7 60894.2i −0.0379928 0.166457i
\(169\) −147570. 185047.i −0.397449 0.498385i
\(170\) 16813.2 21083.1i 0.0446199 0.0559515i
\(171\) 56861.4 0.148706
\(172\) −371325. + 106110.i −0.957047 + 0.273485i
\(173\) 926.050 0.00235244 0.00117622 0.999999i \(-0.499626\pi\)
0.00117622 + 0.999999i \(0.499626\pi\)
\(174\) 8013.86 10049.1i 0.0200664 0.0251624i
\(175\) 214494. + 268967.i 0.529444 + 0.663902i
\(176\) −119725. 524551.i −0.291343 1.27646i
\(177\) 244875. + 117926.i 0.587505 + 0.282928i
\(178\) −32344.0 −0.0765144
\(179\) 153813. 0.358807 0.179403 0.983776i \(-0.442583\pi\)
0.179403 + 0.983776i \(0.442583\pi\)
\(180\) 79527.9 + 38298.6i 0.182952 + 0.0881052i
\(181\) 44480.0 194880.i 0.100918 0.442150i −0.899073 0.437800i \(-0.855758\pi\)
0.999991 0.00435076i \(-0.00138489\pi\)
\(182\) −24943.2 + 12012.0i −0.0558180 + 0.0268805i
\(183\) −43736.4 + 191622.i −0.0965417 + 0.422977i
\(184\) −48825.9 + 61225.7i −0.106318 + 0.133318i
\(185\) 242100. + 116589.i 0.520075 + 0.250455i
\(186\) 22419.3 28112.9i 0.0475160 0.0595831i
\(187\) 224285. + 982658.i 0.469026 + 2.05494i
\(188\) 144139. 69413.6i 0.297431 0.143235i
\(189\) −726852. + 350034.i −1.48010 + 0.712780i
\(190\) 6743.72 + 8456.36i 0.0135524 + 0.0169941i
\(191\) 124449. + 545247.i 0.246836 + 1.08146i 0.934649 + 0.355571i \(0.115713\pi\)
−0.687814 + 0.725887i \(0.741429\pi\)
\(192\) 91901.2 402645.i 0.179915 0.788261i
\(193\) 34144.5 + 42815.8i 0.0659822 + 0.0827391i 0.813727 0.581247i \(-0.197435\pi\)
−0.747745 + 0.663986i \(0.768863\pi\)
\(194\) 33477.7 + 41979.8i 0.0638634 + 0.0800821i
\(195\) −39136.1 + 171467.i −0.0737041 + 0.322919i
\(196\) 152408. + 667743.i 0.283379 + 1.24156i
\(197\) −117353. 147156.i −0.215441 0.270155i 0.662354 0.749191i \(-0.269558\pi\)
−0.877795 + 0.479036i \(0.840986\pi\)
\(198\) 13870.6 6679.72i 0.0251438 0.0121086i
\(199\) 498793. 240206.i 0.892868 0.429983i 0.0695605 0.997578i \(-0.477840\pi\)
0.823308 + 0.567595i \(0.192126\pi\)
\(200\) −9627.55 42181.0i −0.0170193 0.0745662i
\(201\) 415506. 521029.i 0.725417 0.909644i
\(202\) −15727.4 7573.90i −0.0271193 0.0130599i
\(203\) −313853. + 393559.i −0.534547 + 0.670301i
\(204\) −173803. + 761479.i −0.292402 + 1.28110i
\(205\) 401437. 193322.i 0.667164 0.321289i
\(206\) 1506.33 6599.66i 0.00247316 0.0108356i
\(207\) 214808. + 103446.i 0.348438 + 0.167799i
\(208\) −370470. −0.593737
\(209\) −404277. −0.640196
\(210\) −32590.1 15694.6i −0.0509962 0.0245585i
\(211\) −167030. 731804.i −0.258278 1.13159i −0.923092 0.384580i \(-0.874346\pi\)
0.664814 0.747009i \(-0.268511\pi\)
\(212\) −553810. 694456.i −0.846294 1.06122i
\(213\) −107662. + 135003.i −0.162597 + 0.203890i
\(214\) 11759.6 0.0175532
\(215\) −172468. + 413848.i −0.254456 + 0.610582i
\(216\) 101460. 0.147966
\(217\) −878024. + 1.10101e6i −1.26578 + 1.58723i
\(218\) 18077.4 + 22668.4i 0.0257629 + 0.0323057i
\(219\) 219314. + 960876.i 0.308998 + 1.35381i
\(220\) −565432. 272298.i −0.787633 0.379304i
\(221\) 694013. 0.955844
\(222\) 36317.6 0.0494577
\(223\) −669693. 322507.i −0.901807 0.434287i −0.0752655 0.997164i \(-0.523980\pi\)
−0.826541 + 0.562876i \(0.809695\pi\)
\(224\) 51262.9 224598.i 0.0682627 0.299078i
\(225\) −118679. + 57152.9i −0.156285 + 0.0752631i
\(226\) −15568.6 + 68210.6i −0.0202759 + 0.0888344i
\(227\) 129232. 162052.i 0.166459 0.208733i −0.691605 0.722276i \(-0.743096\pi\)
0.858064 + 0.513543i \(0.171667\pi\)
\(228\) −282257. 135928.i −0.359590 0.173169i
\(229\) 542842. 680702.i 0.684045 0.857765i −0.311675 0.950189i \(-0.600890\pi\)
0.995720 + 0.0924237i \(0.0294614\pi\)
\(230\) 10091.7 + 44214.6i 0.0125790 + 0.0551120i
\(231\) 1.21813e6 586622.i 1.50198 0.723316i
\(232\) 57038.2 27468.1i 0.0695738 0.0335050i
\(233\) 40401.5 + 50661.9i 0.0487537 + 0.0611352i 0.805611 0.592445i \(-0.201837\pi\)
−0.756857 + 0.653581i \(0.773266\pi\)
\(234\) −2358.81 10334.6i −0.00281614 0.0123383i
\(235\) 41329.2 181075.i 0.0488189 0.213889i
\(236\) 416357. + 522095.i 0.486616 + 0.610197i
\(237\) −228746. 286839.i −0.264535 0.331716i
\(238\) −31762.0 + 139158.i −0.0363467 + 0.159245i
\(239\) 93366.5 + 409065.i 0.105730 + 0.463231i 0.999880 + 0.0154656i \(0.00492305\pi\)
−0.894151 + 0.447766i \(0.852220\pi\)
\(240\) −301797. 378441.i −0.338210 0.424102i
\(241\) 599418. 288664.i 0.664794 0.320148i −0.0708790 0.997485i \(-0.522580\pi\)
0.735673 + 0.677337i \(0.236866\pi\)
\(242\) −42678.2 + 20552.7i −0.0468455 + 0.0225596i
\(243\) −121271. 531321.i −0.131747 0.577220i
\(244\) −301094. + 377560.i −0.323764 + 0.405987i
\(245\) 716410. + 345005.i 0.762511 + 0.367206i
\(246\) 37546.4 47081.7i 0.0395576 0.0496037i
\(247\) −61942.3 + 271387.i −0.0646019 + 0.283039i
\(248\) 159568. 76843.9i 0.164747 0.0793378i
\(249\) 265519. 1.16332e6i 0.271392 1.18905i
\(250\) −62712.5 30200.7i −0.0634606 0.0305610i
\(251\) 681803. 0.683085 0.341542 0.939866i \(-0.389051\pi\)
0.341542 + 0.939866i \(0.389051\pi\)
\(252\) −467224. −0.463472
\(253\) −1.52726e6 735488.i −1.50007 0.722394i
\(254\) 14538.3 + 63696.6i 0.0141394 + 0.0619486i
\(255\) 565366. + 708947.i 0.544477 + 0.682752i
\(256\) 623622. 781998.i 0.594733 0.745771i
\(257\) 608380. 0.574569 0.287285 0.957845i \(-0.407247\pi\)
0.287285 + 0.957845i \(0.407247\pi\)
\(258\) 3267.10 + 60508.0i 0.00305571 + 0.0565932i
\(259\) −1.42233e6 −1.31750
\(260\) −269425. + 337848.i −0.247175 + 0.309948i
\(261\) −120173. 150692.i −0.109195 0.136927i
\(262\) 9970.11 + 43681.9i 0.00897319 + 0.0393141i
\(263\) 673003. + 324101.i 0.599967 + 0.288929i 0.709111 0.705097i \(-0.249097\pi\)
−0.109144 + 0.994026i \(0.534811\pi\)
\(264\) −170037. −0.150153
\(265\) −1.03121e6 −0.902053
\(266\) −51581.7 24840.4i −0.0446983 0.0215256i
\(267\) 242016. 1.06034e6i 0.207762 0.910263i
\(268\) 1.47523e6 710433.i 1.25465 0.604208i
\(269\) 263547. 1.15468e6i 0.222064 0.972926i −0.733858 0.679303i \(-0.762282\pi\)
0.955921 0.293622i \(-0.0948608\pi\)
\(270\) 36635.1 45939.0i 0.0305836 0.0383506i
\(271\) 650090. + 313067.i 0.537713 + 0.258949i 0.682972 0.730445i \(-0.260687\pi\)
−0.145259 + 0.989394i \(0.546402\pi\)
\(272\) −1.19090e6 + 1.49334e6i −0.976008 + 1.22387i
\(273\) −207154. 907601.i −0.168224 0.737036i
\(274\) −46892.9 + 22582.4i −0.0377338 + 0.0181717i
\(275\) 843794. 406350.i 0.672829 0.324017i
\(276\) −819006. 1.02700e6i −0.647164 0.811518i
\(277\) 259791. + 1.13822e6i 0.203434 + 0.891305i 0.968826 + 0.247740i \(0.0796880\pi\)
−0.765392 + 0.643564i \(0.777455\pi\)
\(278\) 31249.3 136912.i 0.0242509 0.106250i
\(279\) −336191. 421570.i −0.258568 0.324234i
\(280\) −111083. 139294.i −0.0846747 0.106179i
\(281\) 171823. 752806.i 0.129812 0.568745i −0.867626 0.497217i \(-0.834355\pi\)
0.997439 0.0715278i \(-0.0227875\pi\)
\(282\) −5585.84 24473.1i −0.00418278 0.0183260i
\(283\) 33704.1 + 42263.7i 0.0250160 + 0.0313690i 0.794182 0.607680i \(-0.207900\pi\)
−0.769166 + 0.639049i \(0.779328\pi\)
\(284\) −382246. + 184080.i −0.281220 + 0.135429i
\(285\) −327687. + 157806.i −0.238972 + 0.115083i
\(286\) 16770.8 + 73477.8i 0.0121238 + 0.0531180i
\(287\) −1.47046e6 + 1.84390e6i −1.05377 + 1.32139i
\(288\) 79473.4 + 38272.4i 0.0564600 + 0.0271897i
\(289\) 1.34569e6 1.68744e6i 0.947762 1.18846i
\(290\) 8158.30 35743.8i 0.00569645 0.0249578i
\(291\) −1.62673e6 + 783393.i −1.12612 + 0.542309i
\(292\) −538849. + 2.36085e6i −0.369837 + 1.62036i
\(293\) 1.60982e6 + 775250.i 1.09549 + 0.527561i 0.892238 0.451565i \(-0.149134\pi\)
0.203253 + 0.979126i \(0.434849\pi\)
\(294\) 107469. 0.0725127
\(295\) 775268. 0.518677
\(296\) 161165. + 77612.9i 0.106916 + 0.0514878i
\(297\) 488706. + 2.14116e6i 0.321482 + 1.40851i
\(298\) 54719.5 + 68616.1i 0.0356945 + 0.0447595i
\(299\) −727729. + 912543.i −0.470751 + 0.590303i
\(300\) 725742. 0.465563
\(301\) −127952. 2.36972e6i −0.0814011 1.50758i
\(302\) 110298. 0.0695908
\(303\) 365978. 458922.i 0.229007 0.287166i
\(304\) −477666. 598974.i −0.296442 0.371727i
\(305\) 124755. + 546589.i 0.0767909 + 0.336443i
\(306\) −49240.9 23713.2i −0.0300623 0.0144772i
\(307\) −1.34013e6 −0.811525 −0.405763 0.913978i \(-0.632994\pi\)
−0.405763 + 0.913978i \(0.632994\pi\)
\(308\) 3.32190e6 1.99531
\(309\) 205087. + 98764.6i 0.122192 + 0.0588444i
\(310\) 22823.4 99995.8i 0.0134889 0.0590986i
\(311\) −2.36309e6 + 1.13801e6i −1.38542 + 0.667181i −0.970147 0.242518i \(-0.922027\pi\)
−0.415268 + 0.909699i \(0.636312\pi\)
\(312\) −26052.7 + 114144.i −0.0151519 + 0.0663846i
\(313\) −1.26945e6 + 1.59184e6i −0.732410 + 0.918413i −0.998969 0.0454059i \(-0.985542\pi\)
0.266559 + 0.963819i \(0.414113\pi\)
\(314\) −138903. 66892.0i −0.0795036 0.0382869i
\(315\) −338197. + 424085.i −0.192041 + 0.240811i
\(316\) −200584. 878817.i −0.113000 0.495086i
\(317\) −1.45670e6 + 701508.i −0.814181 + 0.392089i −0.794159 0.607711i \(-0.792088\pi\)
−0.0200225 + 0.999800i \(0.506374\pi\)
\(318\) −125570. + 60471.5i −0.0696337 + 0.0335338i
\(319\) 854411. + 1.07140e6i 0.470100 + 0.589486i
\(320\) −262143. 1.14852e6i −0.143108 0.626995i
\(321\) −87991.8 + 385517.i −0.0476628 + 0.208824i
\(322\) −149671. 187682.i −0.0804449 0.100875i
\(323\) 894828. + 1.12208e6i 0.477236 + 0.598435i
\(324\) −249632. + 1.09371e6i −0.132110 + 0.578814i
\(325\) −143494. 628690.i −0.0753575 0.330163i
\(326\) −112805. 141453.i −0.0587874 0.0737171i
\(327\) −878409. + 423019.i −0.454284 + 0.218772i
\(328\) 267234. 128693.i 0.137154 0.0660497i
\(329\) 218762. + 958461.i 0.111425 + 0.488185i
\(330\) −61396.9 + 76989.2i −0.0310357 + 0.0389175i
\(331\) 511931. + 246533.i 0.256827 + 0.123682i 0.557868 0.829930i \(-0.311620\pi\)
−0.301040 + 0.953611i \(0.597334\pi\)
\(332\) 1.82792e6 2.29213e6i 0.910145 1.14129i
\(333\) 121186. 530949.i 0.0598882 0.262387i
\(334\) −146382. + 70494.0i −0.0717997 + 0.0345769i
\(335\) 422995. 1.85326e6i 0.205932 0.902247i
\(336\) 2.30840e6 + 1.11167e6i 1.11548 + 0.537188i
\(337\) −655380. −0.314354 −0.157177 0.987570i \(-0.550239\pi\)
−0.157177 + 0.987570i \(0.550239\pi\)
\(338\) −91246.5 −0.0434435
\(339\) −2.11967e6 1.02078e6i −1.00177 0.482429i
\(340\) 495762. + 2.17207e6i 0.232582 + 1.01901i
\(341\) 2.39027e6 + 2.99731e6i 1.11317 + 1.39587i
\(342\) 13667.7 17138.7i 0.00631872 0.00792342i
\(343\) −919242. −0.421885
\(344\) −114811. + 275496.i −0.0523104 + 0.125522i
\(345\) −1.52501e6 −0.689803
\(346\) 222.593 279.123i 9.99588e−5 0.000125344i
\(347\) −2.14520e6 2.68999e6i −0.956410 1.19930i −0.979883 0.199575i \(-0.936044\pi\)
0.0234730 0.999724i \(-0.492528\pi\)
\(348\) 236300. + 1.03530e6i 0.104596 + 0.458266i
\(349\) 708169. + 341036.i 0.311224 + 0.149878i 0.582975 0.812490i \(-0.301888\pi\)
−0.271751 + 0.962368i \(0.587603\pi\)
\(350\) 132627. 0.0578713
\(351\) 1.51222e6 0.655159
\(352\) −565045. 272111.i −0.243067 0.117055i
\(353\) 256935. 1.12571e6i 0.109746 0.480827i −0.889948 0.456062i \(-0.849259\pi\)
0.999693 0.0247642i \(-0.00788348\pi\)
\(354\) 94404.4 45462.8i 0.0400391 0.0192818i
\(355\) −109602. + 480198.i −0.0461581 + 0.202232i
\(356\) 1.66611e6 2.08923e6i 0.696752 0.873699i
\(357\) −4.32440e6 2.08252e6i −1.79579 0.864806i
\(358\) 36971.7 46361.1i 0.0152462 0.0191182i
\(359\) −595497. 2.60904e6i −0.243862 1.06843i −0.937467 0.348073i \(-0.886836\pi\)
0.693606 0.720355i \(-0.256021\pi\)
\(360\) 61462.3 29598.7i 0.0249950 0.0120369i
\(361\) 1.71224e6 824574.i 0.691509 0.333013i
\(362\) −48047.5 60249.6i −0.0192708 0.0241648i
\(363\) −354443. 1.55292e6i −0.141182 0.618559i
\(364\) 508973. 2.22996e6i 0.201345 0.882151i
\(365\) 1.75283e6 + 2.19798e6i 0.688666 + 0.863560i
\(366\) 47244.2 + 59242.4i 0.0184351 + 0.0231169i
\(367\) 382551. 1.67607e6i 0.148260 0.649570i −0.845108 0.534595i \(-0.820464\pi\)
0.993368 0.114975i \(-0.0366787\pi\)
\(368\) −714808. 3.13178e6i −0.275150 1.20551i
\(369\) −563031. 706018.i −0.215261 0.269929i
\(370\) 93334.7 44947.6i 0.0354437 0.0170688i
\(371\) 4.91781e6 2.36829e6i 1.85497 0.893307i
\(372\) 661065. + 2.89632e6i 0.247678 + 1.08515i
\(373\) −3.27469e6 + 4.10633e6i −1.21870 + 1.52821i −0.443799 + 0.896126i \(0.646370\pi\)
−0.774904 + 0.632079i \(0.782202\pi\)
\(374\) 350096. + 168597.i 0.129422 + 0.0623264i
\(375\) 1.45933e6 1.82994e6i 0.535889 0.671984i
\(376\) 27512.6 120541.i 0.0100360 0.0439707i
\(377\) 850129. 409401.i 0.308057 0.148353i
\(378\) −69207.7 + 303219.i −0.0249129 + 0.109151i
\(379\) −2.64590e6 1.27420e6i −0.946185 0.455659i −0.103838 0.994594i \(-0.533112\pi\)
−0.842347 + 0.538936i \(0.818827\pi\)
\(380\) −893616. −0.317462
\(381\) −2.19696e6 −0.775373
\(382\) 194257. + 93549.5i 0.0681113 + 0.0328007i
\(383\) 672199. + 2.94510e6i 0.234154 + 1.02589i 0.946154 + 0.323716i \(0.104932\pi\)
−0.712001 + 0.702179i \(0.752211\pi\)
\(384\) −403697. 506220.i −0.139710 0.175191i
\(385\) 2.40453e6 3.01519e6i 0.826759 1.03672i
\(386\) 21112.4 0.00721224
\(387\) 895507. + 154142.i 0.303943 + 0.0523170i
\(388\) −4.43616e6 −1.49599
\(389\) −1.59435e6 + 1.99925e6i −0.534206 + 0.669873i −0.973558 0.228442i \(-0.926637\pi\)
0.439351 + 0.898315i \(0.355208\pi\)
\(390\) 42275.0 + 53011.2i 0.0140742 + 0.0176484i
\(391\) 1.33907e6 + 5.86686e6i 0.442958 + 1.94073i
\(392\) 476909. + 229667.i 0.156755 + 0.0754891i
\(393\) −1.50664e6 −0.492070
\(394\) −72562.6 −0.0235490
\(395\) −942867. 454061.i −0.304059 0.146427i
\(396\) −283033. + 1.24005e6i −0.0906982 + 0.397375i
\(397\) 1.35956e6 654730.i 0.432935 0.208490i −0.204707 0.978823i \(-0.565624\pi\)
0.637642 + 0.770333i \(0.279910\pi\)
\(398\) 47492.9 208080.i 0.0150287 0.0658450i
\(399\) 1.20031e6 1.50514e6i 0.377452 0.473310i
\(400\) 1.59901e6 + 770045.i 0.499692 + 0.240639i
\(401\) 2.87774e6 3.60857e6i 0.893698 1.12066i −0.0983935 0.995148i \(-0.531370\pi\)
0.992092 0.125515i \(-0.0400582\pi\)
\(402\) −57169.8 250477.i −0.0176442 0.0773042i
\(403\) 2.37829e6 1.14533e6i 0.729462 0.351290i
\(404\) 1.29938e6 625749.i 0.396081 0.190742i
\(405\) 812032. + 1.01826e6i 0.246000 + 0.308475i
\(406\) 43183.2 + 189198.i 0.0130017 + 0.0569641i
\(407\) −861614. + 3.77498e6i −0.257826 + 1.12961i
\(408\) 376361. + 471941.i 0.111932 + 0.140358i
\(409\) −2.25676e6 2.82989e6i −0.667080 0.836492i 0.327013 0.945020i \(-0.393958\pi\)
−0.994093 + 0.108528i \(0.965386\pi\)
\(410\) 38223.1 167466.i 0.0112297 0.0492003i
\(411\) −389446. 1.70628e6i −0.113722 0.498247i
\(412\) 348706. + 437263.i 0.101208 + 0.126911i
\(413\) −3.69723e6 + 1.78049e6i −1.06660 + 0.513648i
\(414\) 82812.9 39880.6i 0.0237464 0.0114357i
\(415\) −757378. 3.31829e6i −0.215870 0.945788i
\(416\) −269240. + 337617.i −0.0762794 + 0.0956513i
\(417\) 4.25460e6 + 2.04891e6i 1.19817 + 0.577009i
\(418\) −97175.2 + 121854.i −0.0272029 + 0.0341113i
\(419\) −1.41535e6 + 6.20105e6i −0.393848 + 1.72556i 0.257052 + 0.966398i \(0.417249\pi\)
−0.650900 + 0.759164i \(0.725608\pi\)
\(420\) 2.69257e6 1.29667e6i 0.744806 0.358680i
\(421\) 881142. 3.86054e6i 0.242293 1.06155i −0.696631 0.717430i \(-0.745318\pi\)
0.938924 0.344125i \(-0.111824\pi\)
\(422\) −260723. 125558.i −0.0712687 0.0343212i
\(423\) −376427. −0.102289
\(424\) −686469. −0.185441
\(425\) −2.99549e6 1.44255e6i −0.804443 0.387399i
\(426\) 14813.2 + 64901.0i 0.00395481 + 0.0173272i
\(427\) −1.85026e6 2.32015e6i −0.491093 0.615811i
\(428\) −605762. + 759601.i −0.159843 + 0.200436i
\(429\) −2.53433e6 −0.664844
\(430\) 83282.7 + 151460.i 0.0217212 + 0.0395026i
\(431\) 4.58971e6 1.19012 0.595061 0.803680i \(-0.297128\pi\)
0.595061 + 0.803680i \(0.297128\pi\)
\(432\) −2.59491e6 + 3.25392e6i −0.668980 + 0.838875i
\(433\) 3.44923e6 + 4.32520e6i 0.884103 + 1.10863i 0.993409 + 0.114622i \(0.0365655\pi\)
−0.109307 + 0.994008i \(0.534863\pi\)
\(434\) 120808. + 529294.i 0.0307873 + 0.134888i
\(435\) 1.11075e6 + 534911.i 0.281446 + 0.135537i
\(436\) −2.39546e6 −0.603493
\(437\) −2.41370e6 −0.604615
\(438\) 342336. + 164860.i 0.0852642 + 0.0410611i
\(439\) −1.10017e6 + 4.82015e6i −0.272457 + 1.19371i 0.634646 + 0.772803i \(0.281146\pi\)
−0.907103 + 0.420909i \(0.861711\pi\)
\(440\) −436989. + 210443.i −0.107606 + 0.0518205i
\(441\) 358606. 1.57115e6i 0.0878053 0.384700i
\(442\) 166819. 209184.i 0.0406152 0.0509299i
\(443\) −5.48221e6 2.64009e6i −1.32723 0.639161i −0.370147 0.928973i \(-0.620693\pi\)
−0.957084 + 0.289812i \(0.906407\pi\)
\(444\) −1.87080e6 + 2.34591e6i −0.450370 + 0.564746i
\(445\) −690335. 3.02455e6i −0.165257 0.724038i
\(446\) −258180. + 124333.i −0.0614590 + 0.0295971i
\(447\) −2.65890e6 + 1.28046e6i −0.629409 + 0.303108i
\(448\) 3.88787e6 + 4.87523e6i 0.915201 + 1.14763i
\(449\) 1.69179e6 + 7.41222e6i 0.396032 + 1.73513i 0.642780 + 0.766051i \(0.277781\pi\)
−0.246748 + 0.969080i \(0.579362\pi\)
\(450\) −11300.1 + 49509.1i −0.00263058 + 0.0115253i
\(451\) 4.00307e6 + 5.01969e6i 0.926727 + 1.16208i
\(452\) −3.60404e6 4.51932e6i −0.829743 1.04046i
\(453\) −825315. + 3.61594e6i −0.188962 + 0.827896i
\(454\) −17781.2 77904.4i −0.00404875 0.0177387i
\(455\) −1.65565e6 2.07612e6i −0.374921 0.470136i
\(456\) −218139. + 105050.i −0.0491271 + 0.0236584i
\(457\) 5.88461e6 2.83388e6i 1.31803 0.634732i 0.363156 0.931728i \(-0.381699\pi\)
0.954879 + 0.296996i \(0.0959849\pi\)
\(458\) −74690.0 327238.i −0.0166379 0.0728954i
\(459\) 4.86113e6 6.09567e6i 1.07698 1.35048i
\(460\) −3.37586e6 1.62573e6i −0.743857 0.358223i
\(461\) 1.03568e6 1.29870e6i 0.226972 0.284614i −0.655285 0.755381i \(-0.727452\pi\)
0.882257 + 0.470768i \(0.156023\pi\)
\(462\) 115985. 508165.i 0.0252812 0.110764i
\(463\) −278077. + 133915.i −0.0602856 + 0.0290320i −0.463784 0.885949i \(-0.653508\pi\)
0.403498 + 0.914980i \(0.367794\pi\)
\(464\) −577862. + 2.53178e6i −0.124603 + 0.545923i
\(465\) 3.10741e6 + 1.49645e6i 0.666447 + 0.320944i
\(466\) 24981.3 0.00532906
\(467\) −2.23476e6 −0.474175 −0.237088 0.971488i \(-0.576193\pi\)
−0.237088 + 0.971488i \(0.576193\pi\)
\(468\) 789066. + 379994.i 0.166532 + 0.0801977i
\(469\) 2.23899e6 + 9.80963e6i 0.470023 + 2.05931i
\(470\) −44644.0 55981.8i −0.00932220 0.0116897i
\(471\) 3.23229e6 4.05316e6i 0.671363 0.841863i
\(472\) 516091. 0.106628
\(473\) −6.36693e6 1.09593e6i −1.30851 0.225231i
\(474\) −141440. −0.0289152
\(475\) 831450. 1.04260e6i 0.169084 0.212024i
\(476\) −7.35270e6 9.21999e6i −1.48741 1.86515i
\(477\) 465064. + 2.03758e6i 0.0935872 + 0.410032i
\(478\) 145740. + 70184.5i 0.0291748 + 0.0140498i
\(479\) −2.07688e6 −0.413592 −0.206796 0.978384i \(-0.566304\pi\)
−0.206796 + 0.978384i \(0.566304\pi\)
\(480\) −564214. −0.111774
\(481\) 2.40209e6 + 1.15679e6i 0.473398 + 0.227977i
\(482\) 57074.0 250057.i 0.0111898 0.0490255i
\(483\) 7.27274e6 3.50237e6i 1.41850 0.683115i
\(484\) 870859. 3.81548e6i 0.168980 0.740348i
\(485\) −3.21109e6 + 4.02657e6i −0.619866 + 0.777287i
\(486\) −189296. 91160.2i −0.0363539 0.0175071i
\(487\) −1.26282e6 + 1.58353e6i −0.241279 + 0.302554i −0.887696 0.460430i \(-0.847695\pi\)
0.646417 + 0.762984i \(0.276267\pi\)
\(488\) 83048.8 + 363861.i 0.0157864 + 0.0691649i
\(489\) 5.48136e6 2.63968e6i 1.03661 0.499206i
\(490\) 276191. 133006.i 0.0519659 0.0250255i
\(491\) 4.82304e6 + 6.04791e6i 0.902854 + 1.13214i 0.990707 + 0.136010i \(0.0434279\pi\)
−0.0878534 + 0.996133i \(0.528001\pi\)
\(492\) 1.10711e6 + 4.85056e6i 0.206195 + 0.903398i
\(493\) 1.08253e6 4.74287e6i 0.200596 0.878868i
\(494\) 66910.4 + 83902.9i 0.0123360 + 0.0154689i
\(495\) 920683. + 1.15450e6i 0.168887 + 0.211778i
\(496\) −1.61661e6 + 7.08283e6i −0.295053 + 1.29271i
\(497\) −580142. 2.54177e6i −0.105352 0.461578i
\(498\) −286815. 359655.i −0.0518237 0.0649849i
\(499\) 6.53250e6 3.14589e6i 1.17443 0.565577i 0.258148 0.966105i \(-0.416888\pi\)
0.916284 + 0.400528i \(0.131173\pi\)
\(500\) 5.18125e6 2.49516e6i 0.926851 0.446348i
\(501\) −1.21571e6 5.32636e6i −0.216389 0.948062i
\(502\) 163884. 205504.i 0.0290253 0.0363965i
\(503\) −7.80271e6 3.75759e6i −1.37507 0.662200i −0.407129 0.913371i \(-0.633470\pi\)
−0.967943 + 0.251171i \(0.919184\pi\)
\(504\) −225135. + 282311.i −0.0394791 + 0.0495052i
\(505\) 372574. 1.63236e6i 0.0650107 0.284830i
\(506\) −588789. + 283546.i −0.102231 + 0.0492319i
\(507\) 682757. 2.99136e6i 0.117963 0.516831i
\(508\) −4.86333e6 2.34206e6i −0.836132 0.402660i
\(509\) −6.89842e6 −1.18020 −0.590100 0.807331i \(-0.700912\pi\)
−0.590100 + 0.807331i \(0.700912\pi\)
\(510\) 349581. 0.0595145
\(511\) −1.34072e7 6.45655e6i −2.27135 1.09383i
\(512\) −441452. 1.93413e6i −0.0744233 0.326070i
\(513\) 1.94978e6 + 2.44495e6i 0.327109 + 0.410182i
\(514\) 146235. 183373.i 0.0244143 0.0306146i
\(515\) 649299. 0.107876
\(516\) −4.07677e6 2.90587e6i −0.674049 0.480454i
\(517\) 2.67635e6 0.440368
\(518\) −341883. + 428708.i −0.0559827 + 0.0702001i
\(519\) 7484.98 + 9385.86i 0.00121975 + 0.00152952i
\(520\) 74313.7 + 325590.i 0.0120520 + 0.0528034i
\(521\) 4.57528e6 + 2.20334e6i 0.738454 + 0.355621i 0.765003 0.644027i \(-0.222737\pi\)
−0.0265488 + 0.999648i \(0.508452\pi\)
\(522\) −74305.9 −0.0119357
\(523\) 6.93921e6 1.10932 0.554658 0.832078i \(-0.312849\pi\)
0.554658 + 0.832078i \(0.312849\pi\)
\(524\) −3.33518e6 1.60614e6i −0.530630 0.255538i
\(525\) −992392. + 4.34796e6i −0.157139 + 0.688473i
\(526\) 259456. 124948.i 0.0408884 0.0196908i
\(527\) 3.02845e6 1.32685e7i 0.475000 2.08111i
\(528\) 4.34882e6 5.45324e6i 0.678869 0.851275i
\(529\) −3.31939e6 1.59854e6i −0.515727 0.248361i
\(530\) −247870. + 310819.i −0.0383296 + 0.0480637i
\(531\) −349637. 1.53186e6i −0.0538122 0.235767i
\(532\) 4.26163e6 2.05229e6i 0.652825 0.314384i
\(533\) 3.98301e6 1.91812e6i 0.607286 0.292454i
\(534\) −261426. 327818.i −0.0396731 0.0497485i
\(535\) 250991. + 1.09966e6i 0.0379118 + 0.166102i
\(536\) 281585. 1.23371e6i 0.0423349 0.185481i
\(537\) 1.24322e6 + 1.55895e6i 0.186043 + 0.233291i
\(538\) −284685. 356984.i −0.0424042 0.0531732i
\(539\) −2.54964e6 + 1.11707e7i −0.378013 + 1.65618i
\(540\) 1.08024e6 + 4.73284e6i 0.159417 + 0.698453i
\(541\) −3.83783e6 4.81249e6i −0.563759 0.706931i 0.415489 0.909598i \(-0.363610\pi\)
−0.979248 + 0.202667i \(0.935039\pi\)
\(542\) 250623. 120694.i 0.0366457 0.0176476i
\(543\) 2.33470e6 1.12433e6i 0.339806 0.163642i
\(544\) 495422. + 2.17059e6i 0.0717758 + 0.314470i
\(545\) −1.73393e6 + 2.17428e6i −0.250058 + 0.313563i
\(546\) −323355. 155720.i −0.0464193 0.0223543i
\(547\) −6.20321e6 + 7.77858e6i −0.886437 + 1.11156i 0.106664 + 0.994295i \(0.465983\pi\)
−0.993101 + 0.117262i \(0.962588\pi\)
\(548\) 956861. 4.19228e6i 0.136112 0.596347i
\(549\) 1.02375e6 493011.i 0.144965 0.0698113i
\(550\) 80342.4 352003.i 0.0113250 0.0496181i
\(551\) 1.75803e6 + 846625.i 0.246688 + 0.118799i
\(552\) −1.01519e6 −0.141808
\(553\) 5.53932e6 0.770271
\(554\) 405518. + 195287.i 0.0561353 + 0.0270333i
\(555\) 775146. + 3.39614e6i 0.106820 + 0.468007i
\(556\) 7.23402e6 + 9.07118e6i 0.992414 + 1.24445i
\(557\) −3.04470e6 + 3.81794e6i −0.415822 + 0.521424i −0.944993 0.327091i \(-0.893932\pi\)
0.529171 + 0.848515i \(0.322503\pi\)
\(558\) −207876. −0.0282630
\(559\) −1.71121e6 + 4.10614e6i −0.231619 + 0.555782i
\(560\) 7.30832e6 0.984799
\(561\) −8.14678e6 + 1.02157e7i −1.09290 + 1.37045i
\(562\) −185604. 232740.i −0.0247883 0.0310835i
\(563\) −348622. 1.52741e6i −0.0463536 0.203089i 0.946448 0.322855i \(-0.104643\pi\)
−0.992802 + 0.119766i \(0.961785\pi\)
\(564\) 1.86856e6 + 899853.i 0.247349 + 0.119117i
\(565\) −6.71082e6 −0.884411
\(566\) 20840.2 0.00273439
\(567\) −6.21111e6 2.99111e6i −0.811356 0.390729i
\(568\) −72961.4 + 319665.i −0.00948904 + 0.0415742i
\(569\) 6.32584e6 3.04636e6i 0.819101 0.394458i 0.0230849 0.999734i \(-0.492651\pi\)
0.796016 + 0.605275i \(0.206937\pi\)
\(570\) −31200.9 + 136700.i −0.00402236 + 0.0176231i
\(571\) 7.72299e6 9.68432e6i 0.991277 1.24302i 0.0213136 0.999773i \(-0.493215\pi\)
0.969964 0.243250i \(-0.0782134\pi\)
\(572\) −5.61015e6 2.70171e6i −0.716943 0.345261i
\(573\) −4.52040e6 + 5.66840e6i −0.575162 + 0.721230i
\(574\) 202321. + 886427.i 0.0256308 + 0.112296i
\(575\) 5.03779e6 2.42607e6i 0.635434 0.306009i
\(576\) −2.15115e6 + 1.03594e6i −0.270156 + 0.130100i
\(577\) 4.09896e6 + 5.13994e6i 0.512548 + 0.642715i 0.969008 0.247029i \(-0.0794544\pi\)
−0.456460 + 0.889744i \(0.650883\pi\)
\(578\) −185154. 811212.i −0.0230523 0.100999i
\(579\) −157975. + 692134.i −0.0195836 + 0.0858013i
\(580\) 1.88859e6 + 2.36822e6i 0.233114 + 0.292316i
\(581\) 1.12328e7 + 1.40854e7i 1.38053 + 1.73113i
\(582\) −154890. + 678619.i −0.0189547 + 0.0830460i
\(583\) −3.30654e6 1.44869e7i −0.402905 1.76524i
\(584\) 1.16685e6 + 1.46318e6i 0.141574 + 0.177528i
\(585\) 916069. 441156.i 0.110672 0.0532969i
\(586\) 620619. 298875.i 0.0746589 0.0359538i
\(587\) −1.15640e6 5.06653e6i −0.138520 0.606897i −0.995761 0.0919809i \(-0.970680\pi\)
0.857240 0.514916i \(-0.172177\pi\)
\(588\) −5.53596e6 + 6.94187e6i −0.660312 + 0.828005i
\(589\) 4.91822e6 + 2.36849e6i 0.584143 + 0.281309i
\(590\) 186350. 233675.i 0.0220393 0.0276364i
\(591\) 542954. 2.37884e6i 0.0639432 0.280153i
\(592\) −6.61101e6 + 3.18370e6i −0.775289 + 0.373360i
\(593\) −1.60167e6 + 7.01737e6i −0.187041 + 0.819479i 0.791125 + 0.611654i \(0.209495\pi\)
−0.978166 + 0.207825i \(0.933362\pi\)
\(594\) 762841. + 367365.i 0.0887091 + 0.0427200i
\(595\) −1.36909e7 −1.58540
\(596\) −7.25093e6 −0.836138
\(597\) 6.46617e6 + 3.11394e6i 0.742525 + 0.357581i
\(598\) 100129. + 438692.i 0.0114500 + 0.0501657i
\(599\) −9.15899e6 1.14850e7i −1.04299 1.30787i −0.950016 0.312201i \(-0.898934\pi\)
−0.0929750 0.995668i \(-0.529638\pi\)
\(600\) 349704. 438515.i 0.0396573 0.0497286i
\(601\) −5.07029e6 −0.572594 −0.286297 0.958141i \(-0.592424\pi\)
−0.286297 + 0.958141i \(0.592424\pi\)
\(602\) −745019. 531040.i −0.0837869 0.0597222i
\(603\) −3.85265e6 −0.431486
\(604\) −5.68172e6 + 7.12465e6i −0.633705 + 0.794641i
\(605\) −2.83284e6 3.55226e6i −0.314654 0.394563i
\(606\) −50355.2 220620.i −0.00557009 0.0244042i
\(607\) 1.31373e6 + 632658.i 0.144722 + 0.0696943i 0.504843 0.863211i \(-0.331550\pi\)
−0.360121 + 0.932905i \(0.617265\pi\)
\(608\) −893004. −0.0979703
\(609\) −6.52565e6 −0.712985
\(610\) 194736. + 93779.7i 0.0211895 + 0.0102043i
\(611\) 410064. 1.79661e6i 0.0444373 0.194693i
\(612\) 4.06824e6 1.95916e6i 0.439064 0.211442i
\(613\) −1.19973e6 + 5.25636e6i −0.128953 + 0.564981i 0.868628 + 0.495465i \(0.165002\pi\)
−0.997581 + 0.0695153i \(0.977855\pi\)
\(614\) −322125. + 403932.i −0.0344829 + 0.0432402i
\(615\) 5.20408e6 + 2.50615e6i 0.554826 + 0.267190i
\(616\) 1.60068e6 2.00719e6i 0.169963 0.213126i
\(617\) −2.64175e6 1.15742e7i −0.279369 1.22400i −0.898594 0.438782i \(-0.855410\pi\)
0.619225 0.785214i \(-0.287447\pi\)
\(618\) 79065.2 38075.8i 0.00832749 0.00401031i
\(619\) −1.44240e6 + 694621.i −0.151307 + 0.0728654i −0.508005 0.861354i \(-0.669617\pi\)
0.356698 + 0.934220i \(0.383902\pi\)
\(620\) 5.28347e6 + 6.62526e6i 0.552001 + 0.692188i
\(621\) 2.91777e6 + 1.27836e7i 0.303614 + 1.33022i
\(622\) −225004. + 985805.i −0.0233192 + 0.102168i
\(623\) 1.02384e7 + 1.28386e7i 1.05685 + 1.32525i
\(624\) −2.99439e6 3.75485e6i −0.307856 0.386039i
\(625\) 263415. 1.15410e6i 0.0269737 0.118180i
\(626\) 174664. + 765254.i 0.0178143 + 0.0780494i
\(627\) −3.26765e6 4.09750e6i −0.331945 0.416246i
\(628\) 1.14760e7 5.52656e6i 1.16116 0.559186i
\(629\) 1.23846e7 5.96412e6i 1.24812 0.601063i
\(630\) 46532.7 + 203873.i 0.00467097 + 0.0204648i
\(631\) −7.77333e6 + 9.74745e6i −0.777201 + 0.974580i −1.00000 0.000284709i \(-0.999909\pi\)
0.222798 + 0.974865i \(0.428481\pi\)
\(632\) −627661. 302266.i −0.0625075 0.0301020i
\(633\) 6.06707e6 7.60786e6i 0.601824 0.754663i
\(634\) −138700. + 607686.i −0.0137042 + 0.0600421i
\(635\) −5.64611e6 + 2.71902e6i −0.555667 + 0.267595i
\(636\) 2.56230e6 1.12262e7i 0.251181 1.10050i
\(637\) 7.10813e6 + 3.42309e6i 0.694076 + 0.334249i
\(638\) 528305. 0.0513846
\(639\) 998258. 0.0967143
\(640\) −1.66400e6 801338.i −0.160584 0.0773332i
\(641\) −3.02619e6 1.32586e7i −0.290905 1.27454i −0.883269 0.468866i \(-0.844663\pi\)
0.592365 0.805670i \(-0.298195\pi\)
\(642\) 95049.1 + 119188.i 0.00910144 + 0.0114129i
\(643\) 1.00342e7 1.25825e7i 0.957093 1.20016i −0.0226183 0.999744i \(-0.507200\pi\)
0.979712 0.200413i \(-0.0642283\pi\)
\(644\) 1.98331e7 1.88441
\(645\) −5.58851e6 + 1.59697e6i −0.528928 + 0.151146i
\(646\) 553296. 0.0521646
\(647\) −3.90433e6 + 4.89588e6i −0.366679 + 0.459801i −0.930605 0.366024i \(-0.880719\pi\)
0.563926 + 0.825825i \(0.309290\pi\)
\(648\) 540565. + 677847.i 0.0505720 + 0.0634153i
\(649\) 2.48587e6 + 1.08913e7i 0.231668 + 1.01501i
\(650\) −223986. 107866.i −0.0207940 0.0100139i
\(651\) −1.82559e7 −1.68831
\(652\) 1.49479e7 1.37708
\(653\) −1.54493e7 7.43997e6i −1.41783 0.682792i −0.441140 0.897438i \(-0.645426\pi\)
−0.976692 + 0.214647i \(0.931140\pi\)
\(654\) −83638.3 + 366443.i −0.00764646 + 0.0335014i
\(655\) −3.87200e6 + 1.86465e6i −0.352640 + 0.169822i
\(656\) −2.70739e6 + 1.18619e7i −0.245636 + 1.07620i
\(657\) 3.55251e6 4.45471e6i 0.321087 0.402630i
\(658\) 341475. + 164446.i 0.0307464 + 0.0148067i
\(659\) −4.82266e6 + 6.04742e6i −0.432587 + 0.542446i −0.949573 0.313547i \(-0.898483\pi\)
0.516986 + 0.855994i \(0.327054\pi\)
\(660\) −1.81037e6 7.93177e6i −0.161774 0.708778i
\(661\) 5.02382e6 2.41934e6i 0.447230 0.215374i −0.196693 0.980465i \(-0.563020\pi\)
0.643922 + 0.765091i \(0.277306\pi\)
\(662\) 197360. 95043.5i 0.0175030 0.00842902i
\(663\) 5.60949e6 + 7.03408e6i 0.495610 + 0.621475i
\(664\) −504182. 2.20896e6i −0.0443779 0.194432i
\(665\) 1.22195e6 5.35370e6i 0.107151 0.469461i
\(666\) −130905. 164150.i −0.0114359 0.0143402i
\(667\) 5.10118e6 + 6.39667e6i 0.443972 + 0.556723i
\(668\) 2.98697e6 1.30868e7i 0.258994 1.13473i
\(669\) −2.14419e6 9.39431e6i −0.185224 0.811521i
\(670\) −456922. 572961.i −0.0393237 0.0493104i
\(671\) −7.27871e6 + 3.50524e6i −0.624091 + 0.300546i
\(672\) 2.69072e6 1.29578e6i 0.229851 0.110690i
\(673\) 2.53754e6 + 1.11177e7i 0.215961 + 0.946188i 0.960428 + 0.278528i \(0.0898466\pi\)
−0.744467 + 0.667659i \(0.767296\pi\)
\(674\) −157532. + 197539.i −0.0133573 + 0.0167496i
\(675\) −6.52701e6 3.14324e6i −0.551385 0.265533i
\(676\) 4.70031e6 5.89400e6i 0.395603 0.496071i
\(677\) −4.14922e6 + 1.81789e7i −0.347932 + 1.52439i 0.433933 + 0.900945i \(0.357125\pi\)
−0.781866 + 0.623447i \(0.785732\pi\)
\(678\) −817177. + 393532.i −0.0682719 + 0.0328780i
\(679\) 6.06609e6 2.65773e7i 0.504934 2.21226i
\(680\) 1.55132e6 + 747076.i 0.128656 + 0.0619573i
\(681\) 2.68701e6 0.222025
\(682\) 1.47797e6 0.121676
\(683\) −1.29429e7 6.23298e6i −1.06165 0.511262i −0.180242 0.983622i \(-0.557688\pi\)
−0.881406 + 0.472360i \(0.843402\pi\)
\(684\) 403011. + 1.76571e6i 0.0329364 + 0.144304i
\(685\) −3.11259e6 3.90307e6i −0.253452 0.317819i
\(686\) −220956. + 277071.i −0.0179265 + 0.0224792i
\(687\) 1.12868e7 0.912386
\(688\) −5.89902e6 1.07281e7i −0.475126 0.864074i
\(689\) −1.02315e7 −0.821093
\(690\) −366564. + 459657.i −0.0293108 + 0.0367545i
\(691\) −9.84904e6 1.23503e7i −0.784692 0.983972i −0.999972 0.00741993i \(-0.997638\pi\)
0.215281 0.976552i \(-0.430933\pi\)
\(692\) 6563.47 + 28756.4i 0.000521037 + 0.00228281i
\(693\) −7.04216e6 3.39133e6i −0.557023 0.268248i
\(694\) −1.32643e6 −0.104541
\(695\) 1.34699e7 1.05780
\(696\) 739422. + 356087.i 0.0578588 + 0.0278633i
\(697\) 5.07185e6 2.22212e7i 0.395443 1.73255i
\(698\) 273014. 131476.i 0.0212102 0.0102143i
\(699\) −186924. + 818969.i −0.0144701 + 0.0633978i
\(700\) −6.83193e6 + 8.56697e6i −0.526985 + 0.660818i
\(701\) −1.69311e7 8.15359e6i −1.30134 0.626692i −0.350554 0.936543i \(-0.614007\pi\)
−0.950785 + 0.309851i \(0.899721\pi\)
\(702\) 363489. 455801.i 0.0278387 0.0349086i
\(703\) 1.22685e6 + 5.37520e6i 0.0936278 + 0.410210i
\(704\) 1.52944e7 7.36540e6i 1.16306 0.560099i
\(705\) 2.16932e6 1.04469e6i 0.164380 0.0791614i
\(706\) −277542. 348027.i −0.0209565 0.0262786i
\(707\) 1.97210e6 + 8.64033e6i 0.148382 + 0.650102i
\(708\) −1.92635e6 + 8.43987e6i −0.144428 + 0.632780i
\(709\) −1.41910e7 1.77949e7i −1.06022 1.32948i −0.941673 0.336529i \(-0.890747\pi\)
−0.118549 0.992948i \(-0.537824\pi\)
\(710\) 118393. + 148460.i 0.00881412 + 0.0110526i
\(711\) −471961. + 2.06780e6i −0.0350133 + 0.153403i
\(712\) −459552. 2.01343e6i −0.0339730 0.148846i
\(713\) 1.42709e7 + 1.78951e7i 1.05130 + 1.31829i
\(714\) −1.66714e6 + 802854.i −0.122385 + 0.0589374i
\(715\) −6.51313e6 + 3.13656e6i −0.476458 + 0.229450i
\(716\) 1.09016e6 + 4.77632e6i 0.0794711 + 0.348186i
\(717\) −3.39138e6 + 4.25266e6i −0.246365 + 0.308932i
\(718\) −929536. 447641.i −0.0672907 0.0324055i
\(719\) 9.45042e6 1.18505e7i 0.681756 0.854895i −0.313758 0.949503i \(-0.601588\pi\)
0.995515 + 0.0946076i \(0.0301596\pi\)
\(720\) −622684. + 2.72816e6i −0.0447648 + 0.196127i
\(721\) −3.09649e6 + 1.49119e6i −0.221836 + 0.106830i
\(722\) 163033. 714292.i 0.0116394 0.0509956i
\(723\) 7.77063e6 + 3.74214e6i 0.552854 + 0.266241i
\(724\) 6.36681e6 0.451415
\(725\) −4.52028e6 −0.319389
\(726\) −553264. 266438.i −0.0389575 0.0187609i
\(727\) 5.03556e6 + 2.20622e7i 0.353356 + 1.54815i 0.769376 + 0.638797i \(0.220567\pi\)
−0.416020 + 0.909355i \(0.636575\pi\)
\(728\) −1.10216e6 1.38206e6i −0.0770751 0.0966492i
\(729\) 9.74120e6 1.22151e7i 0.678881 0.851290i
\(730\) 1.08382e6 0.0752752
\(731\) 1.10508e7 + 2.00973e7i 0.764894 + 1.39105i
\(732\) −6.26037e6 −0.431839
\(733\) −7.99957e6 + 1.00311e7i −0.549929 + 0.689589i −0.976660 0.214789i \(-0.931094\pi\)
0.426731 + 0.904378i \(0.359665\pi\)
\(734\) −413233. 518178.i −0.0283110 0.0355009i
\(735\) 2.29377e6 + 1.00496e7i 0.156614 + 0.686171i
\(736\) −3.37355e6 1.62461e6i −0.229558 0.110549i
\(737\) 2.73918e7 1.85760
\(738\) −348137. −0.0235293
\(739\) 2.04306e7 + 9.83885e6i 1.37616 + 0.662725i 0.968178 0.250264i \(-0.0805175\pi\)
0.407984 + 0.912989i \(0.366232\pi\)
\(740\) −1.90452e6 + 8.34424e6i −0.127851 + 0.560154i
\(741\) −3.25127e6 + 1.56573e6i −0.217524 + 0.104754i
\(742\) 468253. 2.05155e6i 0.0312227 0.136796i
\(743\) −7.64852e6 + 9.59094e6i −0.508283 + 0.637366i −0.968075 0.250660i \(-0.919352\pi\)
0.459793 + 0.888026i \(0.347924\pi\)
\(744\) 2.06858e6 + 996176.i 0.137006 + 0.0659787i
\(745\) −5.24853e6 + 6.58145e6i −0.346455 + 0.434441i
\(746\) 450566. + 1.97406e6i 0.0296423 + 0.129871i
\(747\) −6.21507e6 + 2.99302e6i −0.407516 + 0.196249i
\(748\) −2.89246e7 + 1.39294e7i −1.89023 + 0.910285i
\(749\) −3.72248e6 4.66784e6i −0.242453 0.304027i
\(750\) −200790. 879718.i −0.0130343 0.0571071i
\(751\) −3.65370e6 + 1.60079e7i −0.236392 + 1.03570i 0.707828 + 0.706385i \(0.249675\pi\)
−0.944220 + 0.329316i \(0.893182\pi\)
\(752\) 3.16219e6 + 3.96526e6i 0.203912 + 0.255698i
\(753\) 5.51080e6 + 6.91033e6i 0.354183 + 0.444131i
\(754\) 80945.6 354646.i 0.00518519 0.0227178i
\(755\) 2.35416e6 + 1.03143e7i 0.150303 + 0.658522i
\(756\) −1.60212e7 2.00899e7i −1.01951 1.27842i
\(757\) 5.83390e6 2.80946e6i 0.370015 0.178190i −0.239630 0.970864i \(-0.577026\pi\)
0.609645 + 0.792674i \(0.291312\pi\)
\(758\) −1.02005e6 + 491230.i −0.0644835 + 0.0310536i