Properties

Label 43.5.h.a.5.3
Level 43
Weight 5
Character 43.5
Analytic conductor 4.445
Analytic rank 0
Dimension 168
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 43.h (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.44490841261\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(14\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 5.3
Character \(\chi\) \(=\) 43.5
Dual form 43.5.h.a.26.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-6.02577 - 1.37534i) q^{2} +(4.35150 - 14.1072i) q^{3} +(20.0029 + 9.63287i) q^{4} +(39.0145 - 15.3121i) q^{5} +(-45.6234 + 79.0220i) q^{6} +(34.4295 - 19.8779i) q^{7} +(-29.9675 - 23.8983i) q^{8} +(-113.152 - 77.1459i) q^{9} +O(q^{10})\) \(q+(-6.02577 - 1.37534i) q^{2} +(4.35150 - 14.1072i) q^{3} +(20.0029 + 9.63287i) q^{4} +(39.0145 - 15.3121i) q^{5} +(-45.6234 + 79.0220i) q^{6} +(34.4295 - 19.8779i) q^{7} +(-29.9675 - 23.8983i) q^{8} +(-113.152 - 77.1459i) q^{9} +(-256.152 + 38.6087i) q^{10} +(81.4184 - 39.2090i) q^{11} +(222.935 - 240.267i) q^{12} +(-57.9087 - 8.72833i) q^{13} +(-234.803 + 72.4272i) q^{14} +(-46.2390 - 617.016i) q^{15} +(-73.7696 - 92.5042i) q^{16} +(-195.427 + 497.941i) q^{17} +(575.728 + 620.487i) q^{18} +(141.992 + 208.265i) q^{19} +(927.902 + 69.5366i) q^{20} +(-130.601 - 572.202i) q^{21} +(-544.534 + 124.286i) q^{22} +(-43.4576 + 579.902i) q^{23} +(-467.541 + 318.764i) q^{24} +(829.517 - 769.680i) q^{25} +(336.940 + 132.239i) q^{26} +(-645.773 + 514.987i) q^{27} +(880.169 - 65.9596i) q^{28} +(129.368 + 419.401i) q^{29} +(-569.984 + 3781.60i) q^{30} +(-1133.81 - 1052.02i) q^{31} +(583.385 + 1211.41i) q^{32} +(-198.838 - 1319.20i) q^{33} +(1862.44 - 2731.70i) q^{34} +(1038.88 - 1302.71i) q^{35} +(-1520.23 - 2633.12i) q^{36} +(-115.344 - 66.5939i) q^{37} +(-569.178 - 1450.24i) q^{38} +(-375.122 + 778.948i) q^{39} +(-1535.10 - 473.516i) q^{40} +(266.996 - 1169.78i) q^{41} +3627.58i q^{42} +(-790.071 + 1671.70i) q^{43} +2006.30 q^{44} +(-5595.85 - 1277.22i) q^{45} +(1059.43 - 3434.59i) q^{46} +(3040.94 + 1464.44i) q^{47} +(-1625.98 + 638.151i) q^{48} +(-410.241 + 710.558i) q^{49} +(-6057.06 + 3497.04i) q^{50} +(6174.15 + 4923.72i) q^{51} +(-1074.26 - 732.419i) q^{52} +(-3330.68 + 502.020i) q^{53} +(4599.56 - 2215.03i) q^{54} +(2576.13 - 2776.41i) q^{55} +(-1506.81 - 227.115i) q^{56} +(3555.91 - 1096.85i) q^{57} +(-202.722 - 2705.14i) q^{58} +(1254.11 + 1572.60i) q^{59} +(5018.73 - 12787.5i) q^{60} +(-275.354 - 296.761i) q^{61} +(5385.17 + 7898.59i) q^{62} +(-5429.27 - 406.868i) q^{63} +(-1427.99 - 6256.43i) q^{64} +(-2392.93 + 546.171i) q^{65} +(-616.205 + 8222.69i) q^{66} +(685.800 - 467.570i) q^{67} +(-8705.71 + 8077.71i) q^{68} +(7991.69 + 3136.51i) q^{69} +(-8051.73 + 6421.04i) q^{70} +(473.632 - 35.4938i) q^{71} +(1547.24 + 5016.01i) q^{72} +(979.740 - 6500.15i) q^{73} +(603.448 + 559.918i) q^{74} +(-7248.39 - 15051.4i) q^{75} +(834.068 + 5533.68i) q^{76} +(2023.80 - 2968.37i) q^{77} +(3331.72 - 4177.84i) q^{78} +(2417.47 + 4187.18i) q^{79} +(-4294.52 - 2479.44i) q^{80} +(402.273 + 1024.98i) q^{81} +(-3217.71 + 6681.65i) q^{82} +(-1519.13 - 468.591i) q^{83} +(2899.55 - 12703.7i) q^{84} +22419.3i q^{85} +(7059.95 - 8986.68i) q^{86} +6479.52 q^{87} +(-3376.93 - 770.763i) q^{88} +(2331.76 - 7559.39i) q^{89} +(31962.7 + 15392.4i) q^{90} +(-2167.27 + 850.590i) q^{91} +(-6455.40 + 11181.1i) q^{92} +(-19774.8 + 11417.0i) q^{93} +(-16309.9 - 13006.7i) q^{94} +(8728.73 + 5951.15i) q^{95} +(19628.2 - 2958.48i) q^{96} +(-3960.07 + 1907.07i) q^{97} +(3449.28 - 3717.44i) q^{98} +(-12237.5 - 1844.50i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168q - 14q^{2} - 20q^{3} + 220q^{4} - 11q^{5} - 22q^{6} - 150q^{7} + 322q^{8} - 660q^{9} + O(q^{10}) \) \( 168q - 14q^{2} - 20q^{3} + 220q^{4} - 11q^{5} - 22q^{6} - 150q^{7} + 322q^{8} - 660q^{9} - 105q^{10} + 362q^{11} + 1124q^{12} - 166q^{13} - 876q^{14} + 1157q^{15} - 2752q^{16} - 37q^{17} + 988q^{18} - 1004q^{19} + 1909q^{20} - 2265q^{21} + 2338q^{22} - 976q^{23} + 3016q^{24} - 2199q^{25} + 1957q^{26} - 14q^{27} + 2022q^{28} + 571q^{29} - 7896q^{30} - 7476q^{31} + 21616q^{32} - 2900q^{33} - 1559q^{34} - 1623q^{35} - 9123q^{36} - 11949q^{37} - 19394q^{38} + 175q^{39} - 10317q^{40} - 4162q^{41} + 1005q^{43} + 744q^{44} + 16632q^{45} + 34415q^{46} + 8486q^{47} + 37831q^{48} + 20918q^{49} + 14433q^{50} + 25270q^{51} - 40864q^{52} - 7522q^{53} + 23330q^{54} - 30896q^{55} - 38943q^{56} + 14884q^{57} - 2644q^{58} - 2743q^{59} - 15231q^{60} - 164q^{61} + 15097q^{62} - 22771q^{63} - 7274q^{64} + 19138q^{65} + 16631q^{66} - 31599q^{67} - 17923q^{68} + 49515q^{69} + 69209q^{70} - 2057q^{71} + 62621q^{72} - 19678q^{73} - 86988q^{74} - 28525q^{75} - 38694q^{76} - 65721q^{77} - 112636q^{78} - 293q^{79} - 99738q^{80} - 38860q^{81} - 40460q^{82} - 45580q^{83} - 28041q^{84} + 6292q^{86} + 2598q^{87} + 48902q^{88} + 83608q^{89} + 180383q^{90} + 62161q^{91} + 39390q^{92} + 203670q^{93} + 199878q^{94} - 20897q^{95} + 59662q^{96} + 93627q^{97} - 40724q^{98} + 26734q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{25}{42}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −6.02577 1.37534i −1.50644 0.343836i −0.611942 0.790902i \(-0.709612\pi\)
−0.894501 + 0.447067i \(0.852469\pi\)
\(3\) 4.35150 14.1072i 0.483499 1.56747i −0.304951 0.952368i \(-0.598640\pi\)
0.788450 0.615099i \(-0.210884\pi\)
\(4\) 20.0029 + 9.63287i 1.25018 + 0.602054i
\(5\) 39.0145 15.3121i 1.56058 0.612483i 0.581067 0.813856i \(-0.302635\pi\)
0.979515 + 0.201372i \(0.0645402\pi\)
\(6\) −45.6234 + 79.0220i −1.26732 + 2.19506i
\(7\) 34.4295 19.8779i 0.702642 0.405671i −0.105688 0.994399i \(-0.533705\pi\)
0.808331 + 0.588728i \(0.200371\pi\)
\(8\) −29.9675 23.8983i −0.468242 0.373411i
\(9\) −113.152 77.1459i −1.39694 0.952419i
\(10\) −256.152 + 38.6087i −2.56152 + 0.386087i
\(11\) 81.4184 39.2090i 0.672879 0.324042i −0.0660581 0.997816i \(-0.521042\pi\)
0.738937 + 0.673774i \(0.235328\pi\)
\(12\) 222.935 240.267i 1.54816 1.66852i
\(13\) −57.9087 8.72833i −0.342655 0.0516469i −0.0245394 0.999699i \(-0.507812\pi\)
−0.318116 + 0.948052i \(0.603050\pi\)
\(14\) −234.803 + 72.4272i −1.19798 + 0.369526i
\(15\) −46.2390 617.016i −0.205507 2.74230i
\(16\) −73.7696 92.5042i −0.288163 0.361344i
\(17\) −195.427 + 497.941i −0.676219 + 1.72298i 0.0145408 + 0.999894i \(0.495371\pi\)
−0.690760 + 0.723084i \(0.742724\pi\)
\(18\) 575.728 + 620.487i 1.77694 + 1.91508i
\(19\) 141.992 + 208.265i 0.393331 + 0.576910i 0.970916 0.239420i \(-0.0769573\pi\)
−0.577585 + 0.816330i \(0.696005\pi\)
\(20\) 927.902 + 69.5366i 2.31975 + 0.173842i
\(21\) −130.601 572.202i −0.296148 1.29751i
\(22\) −544.534 + 124.286i −1.12507 + 0.256790i
\(23\) −43.4576 + 579.902i −0.0821506 + 1.09622i 0.791985 + 0.610541i \(0.209048\pi\)
−0.874135 + 0.485682i \(0.838571\pi\)
\(24\) −467.541 + 318.764i −0.811703 + 0.553410i
\(25\) 829.517 769.680i 1.32723 1.23149i
\(26\) 336.940 + 132.239i 0.498432 + 0.195620i
\(27\) −645.773 + 514.987i −0.885834 + 0.706429i
\(28\) 880.169 65.9596i 1.12266 0.0841321i
\(29\) 129.368 + 419.401i 0.153827 + 0.498693i 0.999380 0.0351967i \(-0.0112058\pi\)
−0.845554 + 0.533890i \(0.820730\pi\)
\(30\) −569.984 + 3781.60i −0.633315 + 4.20177i
\(31\) −1133.81 1052.02i −1.17982 1.09471i −0.993687 0.112186i \(-0.964215\pi\)
−0.186131 0.982525i \(-0.559595\pi\)
\(32\) 583.385 + 1211.41i 0.569712 + 1.18302i
\(33\) −198.838 1319.20i −0.182588 1.21139i
\(34\) 1862.44 2731.70i 1.61111 2.36306i
\(35\) 1038.88 1302.71i 0.848064 1.06344i
\(36\) −1520.23 2633.12i −1.17302 2.03173i
\(37\) −115.344 66.5939i −0.0842543 0.0486442i 0.457281 0.889322i \(-0.348823\pi\)
−0.541535 + 0.840678i \(0.682157\pi\)
\(38\) −569.178 1450.24i −0.394168 1.00432i
\(39\) −375.122 + 778.948i −0.246628 + 0.512129i
\(40\) −1535.10 473.516i −0.959438 0.295947i
\(41\) 266.996 1169.78i 0.158831 0.695886i −0.831309 0.555810i \(-0.812408\pi\)
0.990141 0.140076i \(-0.0447347\pi\)
\(42\) 3627.58i 2.05645i
\(43\) −790.071 + 1671.70i −0.427296 + 0.904112i
\(44\) 2006.30 1.03631
\(45\) −5595.85 1277.22i −2.76338 0.630724i
\(46\) 1059.43 3434.59i 0.500676 1.62315i
\(47\) 3040.94 + 1464.44i 1.37662 + 0.662943i 0.968275 0.249886i \(-0.0803932\pi\)
0.408341 + 0.912830i \(0.366108\pi\)
\(48\) −1625.98 + 638.151i −0.705722 + 0.276975i
\(49\) −410.241 + 710.558i −0.170862 + 0.295942i
\(50\) −6057.06 + 3497.04i −2.42282 + 1.39882i
\(51\) 6174.15 + 4923.72i 2.37376 + 1.89301i
\(52\) −1074.26 732.419i −0.397286 0.270865i
\(53\) −3330.68 + 502.020i −1.18572 + 0.178718i −0.712142 0.702035i \(-0.752275\pi\)
−0.473576 + 0.880753i \(0.657037\pi\)
\(54\) 4599.56 2215.03i 1.57735 0.759613i
\(55\) 2576.13 2776.41i 0.851613 0.917820i
\(56\) −1506.81 227.115i −0.480489 0.0724220i
\(57\) 3555.91 1096.85i 1.09446 0.337597i
\(58\) −202.722 2705.14i −0.0602623 0.804144i
\(59\) 1254.11 + 1572.60i 0.360271 + 0.451766i 0.928626 0.371018i \(-0.120991\pi\)
−0.568354 + 0.822784i \(0.692420\pi\)
\(60\) 5018.73 12787.5i 1.39409 3.55209i
\(61\) −275.354 296.761i −0.0740000 0.0797530i 0.694966 0.719042i \(-0.255419\pi\)
−0.768966 + 0.639289i \(0.779229\pi\)
\(62\) 5385.17 + 7898.59i 1.40093 + 2.05478i
\(63\) −5429.27 406.868i −1.36792 0.102511i
\(64\) −1427.99 6256.43i −0.348630 1.52745i
\(65\) −2392.93 + 546.171i −0.566374 + 0.129271i
\(66\) −616.205 + 8222.69i −0.141461 + 1.88767i
\(67\) 685.800 467.570i 0.152773 0.104159i −0.484521 0.874780i \(-0.661006\pi\)
0.637294 + 0.770621i \(0.280054\pi\)
\(68\) −8705.71 + 8077.71i −1.88272 + 1.74691i
\(69\) 7991.69 + 3136.51i 1.67857 + 0.658791i
\(70\) −8051.73 + 6421.04i −1.64321 + 1.31042i
\(71\) 473.632 35.4938i 0.0939560 0.00704103i −0.0276691 0.999617i \(-0.508808\pi\)
0.121625 + 0.992576i \(0.461189\pi\)
\(72\) 1547.24 + 5016.01i 0.298464 + 0.967595i
\(73\) 979.740 6500.15i 0.183851 1.21977i −0.686423 0.727202i \(-0.740820\pi\)
0.870274 0.492568i \(-0.163942\pi\)
\(74\) 603.448 + 559.918i 0.110199 + 0.102249i
\(75\) −7248.39 15051.4i −1.28860 2.67581i
\(76\) 834.068 + 5533.68i 0.144402 + 0.958047i
\(77\) 2023.80 2968.37i 0.341339 0.500653i
\(78\) 3331.72 4177.84i 0.547620 0.686694i
\(79\) 2417.47 + 4187.18i 0.387353 + 0.670915i 0.992093 0.125508i \(-0.0400561\pi\)
−0.604739 + 0.796423i \(0.706723\pi\)
\(80\) −4294.52 2479.44i −0.671019 0.387413i
\(81\) 402.273 + 1024.98i 0.0613128 + 0.156222i
\(82\) −3217.71 + 6681.65i −0.478541 + 0.993701i
\(83\) −1519.13 468.591i −0.220516 0.0680201i 0.182529 0.983201i \(-0.441572\pi\)
−0.403044 + 0.915180i \(0.632048\pi\)
\(84\) 2899.55 12703.7i 0.410934 1.80042i
\(85\) 22419.3i 3.10302i
\(86\) 7059.95 8986.68i 0.954564 1.21507i
\(87\) 6479.52 0.856061
\(88\) −3376.93 770.763i −0.436071 0.0995303i
\(89\) 2331.76 7559.39i 0.294377 0.954348i −0.680715 0.732548i \(-0.738331\pi\)
0.975092 0.221799i \(-0.0711930\pi\)
\(90\) 31962.7 + 15392.4i 3.94601 + 1.90030i
\(91\) −2167.27 + 850.590i −0.261716 + 0.102716i
\(92\) −6455.40 + 11181.1i −0.762689 + 1.32102i
\(93\) −19774.8 + 11417.0i −2.28637 + 1.32003i
\(94\) −16309.9 13006.7i −1.84585 1.47202i
\(95\) 8728.73 + 5951.15i 0.967172 + 0.659407i
\(96\) 19628.2 2958.48i 2.12980 0.321016i
\(97\) −3960.07 + 1907.07i −0.420881 + 0.202685i −0.632323 0.774705i \(-0.717898\pi\)
0.211442 + 0.977391i \(0.432184\pi\)
\(98\) 3449.28 3717.44i 0.359150 0.387072i
\(99\) −12237.5 1844.50i −1.24860 0.188196i
\(100\) 24007.0 7405.16i 2.40070 0.740516i
\(101\) 147.801 + 1972.26i 0.0144888 + 0.193340i 0.999752 + 0.0222920i \(0.00709635\pi\)
−0.985263 + 0.171048i \(0.945285\pi\)
\(102\) −30432.2 38160.8i −2.92505 3.66790i
\(103\) −1973.44 + 5028.25i −0.186016 + 0.473961i −0.993211 0.116323i \(-0.962889\pi\)
0.807195 + 0.590284i \(0.200984\pi\)
\(104\) 1526.79 + 1645.48i 0.141160 + 0.152134i
\(105\) −13857.0 20324.4i −1.25687 1.84349i
\(106\) 20760.4 + 1555.78i 1.84767 + 0.138463i
\(107\) −356.390 1561.45i −0.0311285 0.136383i 0.956976 0.290167i \(-0.0937109\pi\)
−0.988104 + 0.153785i \(0.950854\pi\)
\(108\) −17878.1 + 4080.56i −1.53276 + 0.349842i
\(109\) 1350.64 18023.0i 0.113680 1.51696i −0.590558 0.806995i \(-0.701092\pi\)
0.704238 0.709964i \(-0.251289\pi\)
\(110\) −19341.7 + 13186.9i −1.59849 + 1.08983i
\(111\) −1441.37 + 1337.40i −0.116985 + 0.108546i
\(112\) −4378.64 1718.49i −0.349062 0.136997i
\(113\) 18453.7 14716.3i 1.44520 1.15250i 0.484538 0.874770i \(-0.338988\pi\)
0.960658 0.277734i \(-0.0895835\pi\)
\(114\) −22935.6 + 1718.79i −1.76482 + 0.132255i
\(115\) 7184.03 + 23290.0i 0.543216 + 1.76106i
\(116\) −1452.30 + 9635.41i −0.107930 + 0.716068i
\(117\) 5879.15 + 5455.05i 0.429480 + 0.398499i
\(118\) −5394.09 11200.9i −0.387395 0.804434i
\(119\) 3169.54 + 21028.5i 0.223822 + 1.48496i
\(120\) −13360.0 + 19595.5i −0.927775 + 1.36080i
\(121\) −4036.91 + 5062.12i −0.275726 + 0.345750i
\(122\) 1251.07 + 2166.92i 0.0840549 + 0.145587i
\(123\) −15340.6 8856.87i −1.01398 0.585424i
\(124\) −12545.4 31965.2i −0.815908 2.07890i
\(125\) 9212.33 19129.6i 0.589589 1.22429i
\(126\) 32156.0 + 9918.80i 2.02545 + 0.624767i
\(127\) −233.899 + 1024.78i −0.0145018 + 0.0635365i −0.981661 0.190635i \(-0.938945\pi\)
0.967159 + 0.254171i \(0.0818026\pi\)
\(128\) 18150.8i 1.10784i
\(129\) 20145.1 + 18420.1i 1.21057 + 1.10691i
\(130\) 15170.4 0.897658
\(131\) −1923.53 439.034i −0.112088 0.0255832i 0.166109 0.986107i \(-0.446880\pi\)
−0.278197 + 0.960524i \(0.589737\pi\)
\(132\) 8730.39 28303.2i 0.501055 1.62438i
\(133\) 9028.58 + 4347.93i 0.510406 + 0.245799i
\(134\) −4775.54 + 1874.26i −0.265958 + 0.104381i
\(135\) −17309.0 + 29980.1i −0.949740 + 1.64500i
\(136\) 17756.4 10251.7i 0.960013 0.554264i
\(137\) 9539.49 + 7607.49i 0.508258 + 0.405322i 0.843763 0.536716i \(-0.180336\pi\)
−0.335505 + 0.942038i \(0.608907\pi\)
\(138\) −43842.3 29891.2i −2.30216 1.56959i
\(139\) −947.952 + 142.881i −0.0490633 + 0.00739511i −0.173528 0.984829i \(-0.555517\pi\)
0.124465 + 0.992224i \(0.460279\pi\)
\(140\) 33329.4 16050.6i 1.70048 0.818908i
\(141\) 33891.8 36526.7i 1.70473 1.83727i
\(142\) −2902.82 437.529i −0.143960 0.0216985i
\(143\) −5057.06 + 1559.90i −0.247301 + 0.0762823i
\(144\) 1210.88 + 16158.1i 0.0583951 + 0.779229i
\(145\) 11469.1 + 14381.9i 0.545500 + 0.684036i
\(146\) −14843.6 + 37821.0i −0.696361 + 1.77430i
\(147\) 8238.82 + 8879.33i 0.381268 + 0.410909i
\(148\) −1665.72 2443.16i −0.0760464 0.111540i
\(149\) −22412.0 1679.55i −1.00951 0.0756520i −0.440303 0.897849i \(-0.645129\pi\)
−0.569203 + 0.822197i \(0.692748\pi\)
\(150\) 22976.2 + 100665.i 1.02117 + 4.47402i
\(151\) 14953.3 3412.98i 0.655816 0.149686i 0.118351 0.992972i \(-0.462239\pi\)
0.537465 + 0.843286i \(0.319382\pi\)
\(152\) 722.009 9634.54i 0.0312504 0.417007i
\(153\) 60527.1 41266.7i 2.58564 1.76286i
\(154\) −16277.5 + 15103.3i −0.686351 + 0.636840i
\(155\) −60343.5 23683.1i −2.51170 0.985768i
\(156\) −15007.0 + 11967.7i −0.616659 + 0.491769i
\(157\) −10466.0 + 784.316i −0.424600 + 0.0318194i −0.285317 0.958433i \(-0.592099\pi\)
−0.139283 + 0.990253i \(0.544480\pi\)
\(158\) −8808.32 28555.9i −0.352841 1.14388i
\(159\) −7411.36 + 49171.1i −0.293159 + 1.94498i
\(160\) 41309.7 + 38329.8i 1.61366 + 1.49726i
\(161\) 10031.0 + 20829.6i 0.386983 + 0.803579i
\(162\) −1014.31 6729.53i −0.0386494 0.256422i
\(163\) −16417.0 + 24079.3i −0.617901 + 0.906294i −0.999840 0.0178935i \(-0.994304\pi\)
0.381939 + 0.924187i \(0.375256\pi\)
\(164\) 16609.1 20827.1i 0.617529 0.774357i
\(165\) −27957.3 48423.5i −1.02690 1.77864i
\(166\) 8509.48 + 4912.95i 0.308807 + 0.178290i
\(167\) 8048.50 + 20507.2i 0.288591 + 0.735317i 0.999487 + 0.0320202i \(0.0101941\pi\)
−0.710897 + 0.703296i \(0.751711\pi\)
\(168\) −9760.85 + 20268.6i −0.345835 + 0.718134i
\(169\) −24014.9 7407.61i −0.840828 0.259361i
\(170\) 30834.3 135094.i 1.06693 4.67453i
\(171\) 34519.7i 1.18053i
\(172\) −31907.0 + 25828.2i −1.07852 + 0.873046i
\(173\) −10400.1 −0.347491 −0.173745 0.984791i \(-0.555587\pi\)
−0.173745 + 0.984791i \(0.555587\pi\)
\(174\) −39044.1 8911.57i −1.28961 0.294344i
\(175\) 13260.3 42988.7i 0.432988 1.40371i
\(176\) −9633.20 4639.11i −0.310989 0.149765i
\(177\) 27642.2 10848.8i 0.882319 0.346285i
\(178\) −24447.4 + 42344.2i −0.771601 + 1.33645i
\(179\) −20179.5 + 11650.6i −0.629802 + 0.363616i −0.780675 0.624937i \(-0.785125\pi\)
0.150873 + 0.988553i \(0.451791\pi\)
\(180\) −99629.7 79452.1i −3.07499 2.45222i
\(181\) −14609.6 9960.64i −0.445944 0.304040i 0.319448 0.947604i \(-0.396503\pi\)
−0.765392 + 0.643564i \(0.777455\pi\)
\(182\) 14229.3 2144.72i 0.429577 0.0647483i
\(183\) −5384.67 + 2593.12i −0.160789 + 0.0774320i
\(184\) 15161.0 16339.6i 0.447808 0.482622i
\(185\) −5519.79 831.974i −0.161279 0.0243090i
\(186\) 134861. 41599.0i 3.89815 1.20242i
\(187\) 3612.39 + 48204.0i 0.103303 + 1.37848i
\(188\) 46720.8 + 58586.1i 1.32189 + 1.65760i
\(189\) −11996.8 + 30567.3i −0.335847 + 0.855724i
\(190\) −44412.5 47865.3i −1.23026 1.32591i
\(191\) −18735.2 27479.5i −0.513561 0.753256i 0.478625 0.878019i \(-0.341135\pi\)
−0.992187 + 0.124763i \(0.960183\pi\)
\(192\) −94474.7 7079.90i −2.56279 0.192055i
\(193\) 145.755 + 638.593i 0.00391298 + 0.0171439i 0.976847 0.213940i \(-0.0686298\pi\)
−0.972934 + 0.231084i \(0.925773\pi\)
\(194\) 26485.3 6045.10i 0.703723 0.160620i
\(195\) −2707.88 + 36134.2i −0.0712133 + 0.950275i
\(196\) −15050.7 + 10261.4i −0.391782 + 0.267112i
\(197\) 598.055 554.914i 0.0154102 0.0142986i −0.672430 0.740161i \(-0.734749\pi\)
0.687840 + 0.725862i \(0.258559\pi\)
\(198\) 71203.5 + 27945.3i 1.81623 + 0.712818i
\(199\) 45621.3 36381.8i 1.15202 0.918709i 0.154428 0.988004i \(-0.450647\pi\)
0.997596 + 0.0692954i \(0.0220751\pi\)
\(200\) −43252.6 + 3241.33i −1.08131 + 0.0810333i
\(201\) −3611.85 11709.3i −0.0894001 0.289828i
\(202\) 1821.93 12087.7i 0.0446507 0.296238i
\(203\) 12790.9 + 11868.2i 0.310390 + 0.288000i
\(204\) 76071.1 + 157963.i 1.82793 + 3.79573i
\(205\) −7495.12 49726.9i −0.178349 1.18327i
\(206\) 18807.1 27584.9i 0.443187 0.650036i
\(207\) 49654.4 62264.6i 1.15882 1.45312i
\(208\) 3464.50 + 6000.68i 0.0800780 + 0.138699i
\(209\) 19726.6 + 11389.2i 0.451607 + 0.260735i
\(210\) 55545.8 + 141528.i 1.25954 + 3.20926i
\(211\) 7734.31 16060.5i 0.173723 0.360739i −0.795868 0.605470i \(-0.792985\pi\)
0.969591 + 0.244731i \(0.0786996\pi\)
\(212\) −71459.1 22042.2i −1.58996 0.490437i
\(213\) 1560.29 6836.08i 0.0343911 0.150677i
\(214\) 9899.07i 0.216156i
\(215\) −5227.02 + 77318.3i −0.113078 + 1.67265i
\(216\) 31659.5 0.678573
\(217\) −59948.2 13682.8i −1.27308 0.290573i
\(218\) −32926.4 + 106745.i −0.692838 + 2.24613i
\(219\) −87435.6 42106.8i −1.82306 0.877938i
\(220\) 78274.7 30720.6i 1.61725 0.634722i
\(221\) 15663.1 27129.3i 0.320696 0.555463i
\(222\) 10524.8 6076.48i 0.213553 0.123295i
\(223\) −39637.3 31609.7i −0.797066 0.635639i 0.137872 0.990450i \(-0.455974\pi\)
−0.934938 + 0.354811i \(0.884545\pi\)
\(224\) 44165.9 + 30111.8i 0.880220 + 0.600124i
\(225\) −153239. + 23097.1i −3.02695 + 0.456240i
\(226\) −131438. + 63297.1i −2.57338 + 1.23927i
\(227\) 15043.7 16213.3i 0.291947 0.314644i −0.569998 0.821646i \(-0.693056\pi\)
0.861945 + 0.507002i \(0.169246\pi\)
\(228\) 81694.2 + 12313.4i 1.57153 + 0.236869i
\(229\) 2154.58 664.601i 0.0410858 0.0126733i −0.274144 0.961689i \(-0.588395\pi\)
0.315230 + 0.949015i \(0.397918\pi\)
\(230\) −11257.5 150221.i −0.212807 2.83972i
\(231\) −33068.8 41467.0i −0.619719 0.777103i
\(232\) 6146.13 15660.1i 0.114189 0.290950i
\(233\) 9795.17 + 10556.7i 0.180426 + 0.194453i 0.816789 0.576937i \(-0.195752\pi\)
−0.636362 + 0.771390i \(0.719562\pi\)
\(234\) −27923.8 40956.7i −0.509968 0.747986i
\(235\) 141065. + 10571.3i 2.55436 + 0.191423i
\(236\) 9937.06 + 43537.1i 0.178416 + 0.781692i
\(237\) 69589.0 15883.2i 1.23892 0.282776i
\(238\) 9822.51 131072.i 0.173408 2.31397i
\(239\) 62287.6 42466.9i 1.09045 0.743456i 0.121966 0.992534i \(-0.461080\pi\)
0.968483 + 0.249078i \(0.0801277\pi\)
\(240\) −53665.6 + 49794.4i −0.931694 + 0.864486i
\(241\) 34690.9 + 13615.2i 0.597284 + 0.234417i 0.644671 0.764460i \(-0.276994\pi\)
−0.0473870 + 0.998877i \(0.515089\pi\)
\(242\) 31287.7 24951.1i 0.534247 0.426048i
\(243\) −50506.8 + 3784.96i −0.855338 + 0.0640987i
\(244\) −2649.21 8588.52i −0.0444976 0.144258i
\(245\) −5125.24 + 34003.7i −0.0853850 + 0.566493i
\(246\) 80257.5 + 74468.0i 1.32622 + 1.23055i
\(247\) −6404.79 13299.7i −0.104981 0.217995i
\(248\) 8835.89 + 58622.3i 0.143664 + 0.953147i
\(249\) −13221.0 + 19391.7i −0.213239 + 0.312764i
\(250\) −81821.2 + 102601.i −1.30914 + 1.64161i
\(251\) 3887.67 + 6733.64i 0.0617081 + 0.106882i 0.895229 0.445606i \(-0.147012\pi\)
−0.833521 + 0.552488i \(0.813679\pi\)
\(252\) −104682. 60438.0i −1.64843 0.951719i
\(253\) 19199.1 + 48918.6i 0.299944 + 0.764246i
\(254\) 2818.85 5853.40i 0.0436922 0.0907279i
\(255\) 316274. + 97557.6i 4.86388 + 1.50031i
\(256\) 2115.70 9269.49i 0.0322830 0.141441i
\(257\) 15203.9i 0.230192i −0.993354 0.115096i \(-0.963282\pi\)
0.993354 0.115096i \(-0.0367175\pi\)
\(258\) −96055.5 138702.i −1.44306 2.08373i
\(259\) −5294.98 −0.0789342
\(260\) −53126.7 12125.8i −0.785897 0.179376i
\(261\) 17716.8 57436.4i 0.260078 0.843153i
\(262\) 10987.0 + 5291.04i 0.160057 + 0.0770794i
\(263\) −126778. + 49756.8i −1.83288 + 0.719351i −0.852346 + 0.522978i \(0.824821\pi\)
−0.980529 + 0.196372i \(0.937084\pi\)
\(264\) −25568.0 + 44285.1i −0.366850 + 0.635404i
\(265\) −122258. + 70585.7i −1.74095 + 1.00514i
\(266\) −48424.3 38617.1i −0.684384 0.545778i
\(267\) −96495.1 65789.3i −1.35358 0.922853i
\(268\) 18222.0 2746.53i 0.253704 0.0382397i
\(269\) −82047.3 + 39511.9i −1.13386 + 0.546039i −0.904148 0.427220i \(-0.859493\pi\)
−0.229713 + 0.973258i \(0.573779\pi\)
\(270\) 145533. 156847.i 1.99634 2.15154i
\(271\) 66213.4 + 9980.07i 0.901587 + 0.135892i 0.583447 0.812151i \(-0.301704\pi\)
0.318140 + 0.948044i \(0.396942\pi\)
\(272\) 60478.2 18655.1i 0.817450 0.252150i
\(273\) 2568.59 + 34275.4i 0.0344643 + 0.459894i
\(274\) −47019.9 58961.1i −0.626297 0.785352i
\(275\) 37359.6 95190.6i 0.494011 1.25872i
\(276\) 129643. + 139722.i 1.70189 + 1.83420i
\(277\) 30906.5 + 45331.5i 0.402800 + 0.590800i 0.973028 0.230687i \(-0.0740974\pi\)
−0.570228 + 0.821487i \(0.693145\pi\)
\(278\) 5908.66 + 442.793i 0.0764538 + 0.00572942i
\(279\) 47133.8 + 206507.i 0.605514 + 2.65293i
\(280\) −62265.2 + 14211.6i −0.794199 + 0.181271i
\(281\) −8415.37 + 112295.i −0.106576 + 1.42216i 0.645840 + 0.763473i \(0.276507\pi\)
−0.752416 + 0.658688i \(0.771112\pi\)
\(282\) −254461. + 173489.i −3.19980 + 2.18159i
\(283\) −4957.15 + 4599.56i −0.0618955 + 0.0574306i −0.710514 0.703683i \(-0.751538\pi\)
0.648619 + 0.761114i \(0.275347\pi\)
\(284\) 9815.91 + 3852.46i 0.121701 + 0.0477641i
\(285\) 121937. 97241.6i 1.50123 1.19719i
\(286\) 32618.1 2444.39i 0.398774 0.0298840i
\(287\) −14060.3 45582.4i −0.170699 0.553392i
\(288\) 27444.1 182080.i 0.330875 2.19521i
\(289\) −148528. 137814.i −1.77833 1.65005i
\(290\) −49330.5 102436.i −0.586569 1.21802i
\(291\) 9671.17 + 64164.0i 0.114207 + 0.757715i
\(292\) 82212.7 120584.i 0.964214 1.41424i
\(293\) 66375.3 83232.0i 0.773164 0.969517i −0.226827 0.973935i \(-0.572835\pi\)
0.999990 + 0.00441862i \(0.00140649\pi\)
\(294\) −37433.1 64836.1i −0.433073 0.750105i
\(295\) 73008.1 + 42151.2i 0.838932 + 0.484358i
\(296\) 1865.09 + 4752.18i 0.0212871 + 0.0542387i
\(297\) −32385.6 + 67249.5i −0.367147 + 0.762388i
\(298\) 132740. + 40944.8i 1.49475 + 0.461070i
\(299\) 7578.15 33202.1i 0.0847659 0.371383i
\(300\) 370894.i 4.12105i
\(301\) 6028.15 + 73260.8i 0.0665351 + 0.808609i
\(302\) −94799.0 −1.03942
\(303\) 28466.3 + 6497.24i 0.310060 + 0.0707691i
\(304\) 8790.62 28498.5i 0.0951201 0.308372i
\(305\) −15286.8 7361.76i −0.164330 0.0791374i
\(306\) −421479. + 165418.i −4.50125 + 1.76661i
\(307\) −32691.9 + 56624.0i −0.346867 + 0.600791i −0.985691 0.168562i \(-0.946088\pi\)
0.638824 + 0.769353i \(0.279421\pi\)
\(308\) 69075.7 39880.9i 0.728155 0.420401i
\(309\) 62347.1 + 49720.2i 0.652979 + 0.520734i
\(310\) 331044. + 225702.i 3.44478 + 2.34861i
\(311\) 135953. 20491.7i 1.40562 0.211864i 0.597969 0.801519i \(-0.295975\pi\)
0.807655 + 0.589656i \(0.200737\pi\)
\(312\) 29857.0 14378.4i 0.306716 0.147707i
\(313\) −104892. + 113047.i −1.07067 + 1.15390i −0.0831250 + 0.996539i \(0.526490\pi\)
−0.987541 + 0.157364i \(0.949700\pi\)
\(314\) 64144.2 + 9668.19i 0.650576 + 0.0980586i
\(315\) −218050. + 67259.7i −2.19754 + 0.677850i
\(316\) 8021.75 + 107043.i 0.0803332 + 1.07197i
\(317\) 22658.7 + 28413.2i 0.225485 + 0.282749i 0.881686 0.471837i \(-0.156409\pi\)
−0.656201 + 0.754586i \(0.727838\pi\)
\(318\) 112286. 286101.i 1.11038 2.82921i
\(319\) 26977.3 + 29074.6i 0.265104 + 0.285714i
\(320\) −151511. 222226.i −1.47960 2.17018i
\(321\) −23578.4 1766.96i −0.228826 0.0171481i
\(322\) −31796.7 139310.i −0.306669 1.34360i
\(323\) −131453. + 30003.2i −1.25998 + 0.287583i
\(324\) −1826.84 + 24377.5i −0.0174025 + 0.232220i
\(325\) −54754.3 + 37330.8i −0.518384 + 0.353428i
\(326\) 132042. 122518.i 1.24245 1.15282i
\(327\) −248377. 97480.7i −2.32282 0.911639i
\(328\) −35957.0 + 28674.8i −0.334223 + 0.266534i
\(329\) 133808. 10027.5i 1.23621 0.0926408i
\(330\) 101866. + 330240.i 0.935404 + 3.03251i
\(331\) 9022.54 59860.6i 0.0823517 0.546368i −0.909170 0.416426i \(-0.863283\pi\)
0.991522 0.129942i \(-0.0414793\pi\)
\(332\) −25873.2 24006.8i −0.234732 0.217800i
\(333\) 7913.99 + 16433.6i 0.0713686 + 0.148198i
\(334\) −20293.9 134641.i −0.181917 1.20694i
\(335\) 19596.7 28743.1i 0.174620 0.256120i
\(336\) −43296.7 + 54292.3i −0.383509 + 0.480905i
\(337\) −42032.5 72802.4i −0.370105 0.641041i 0.619476 0.785015i \(-0.287345\pi\)
−0.989581 + 0.143974i \(0.954012\pi\)
\(338\) 134520. + 77665.3i 1.17748 + 0.679819i
\(339\) −127305. 324368.i −1.10776 2.82253i
\(340\) −215963. + 448451.i −1.86819 + 3.87933i
\(341\) −133561. 41198.2i −1.14861 0.354298i
\(342\) −47476.5 + 208008.i −0.405907 + 1.77839i
\(343\) 128072.i 1.08860i
\(344\) 63627.3 31215.4i 0.537683 0.263786i
\(345\) 359818. 3.02305
\(346\) 62668.4 + 14303.6i 0.523475 + 0.119480i
\(347\) −53664.7 + 173977.i −0.445687 + 1.44488i 0.402615 + 0.915369i \(0.368101\pi\)
−0.848302 + 0.529512i \(0.822375\pi\)
\(348\) 129609. + 62416.4i 1.07023 + 0.515395i
\(349\) 151986. 59650.1i 1.24782 0.489734i 0.352776 0.935708i \(-0.385238\pi\)
0.895046 + 0.445973i \(0.147142\pi\)
\(350\) −139028. + 240803.i −1.13492 + 1.96574i
\(351\) 41890.8 24185.7i 0.340020 0.196311i
\(352\) 94996.6 + 75757.2i 0.766695 + 0.611419i
\(353\) 73274.1 + 49957.4i 0.588032 + 0.400913i 0.820463 0.571700i \(-0.193716\pi\)
−0.232431 + 0.972613i \(0.574668\pi\)
\(354\) −181486. + 27354.7i −1.44823 + 0.218285i
\(355\) 17935.1 8637.07i 0.142314 0.0685346i
\(356\) 119461. 128748.i 0.942593 1.01587i
\(357\) 310446. + 46792.2i 2.43584 + 0.367144i
\(358\) 137621. 42450.3i 1.07379 0.331219i
\(359\) 6018.76 + 80314.8i 0.0467001 + 0.623170i 0.970625 + 0.240596i \(0.0773430\pi\)
−0.923925 + 0.382573i \(0.875038\pi\)
\(360\) 137170. + 172006.i 1.05841 + 1.32721i
\(361\) 24399.3 62168.4i 0.187225 0.477041i
\(362\) 74334.7 + 80113.7i 0.567250 + 0.611350i
\(363\) 53845.8 + 78977.3i 0.408638 + 0.599362i
\(364\) −51545.2 3862.78i −0.389032 0.0291539i
\(365\) −61306.7 268602.i −0.460174 2.01616i
\(366\) 36013.2 8219.78i 0.268844 0.0613618i
\(367\) 13544.2 180735.i 0.100559 1.34187i −0.687463 0.726219i \(-0.741276\pi\)
0.788022 0.615647i \(-0.211105\pi\)
\(368\) 56849.2 38759.1i 0.419787 0.286206i
\(369\) −120455. + 111766.i −0.884653 + 0.820838i
\(370\) 32116.7 + 12604.9i 0.234600 + 0.0920737i
\(371\) −104695. + 83491.1i −0.760635 + 0.606586i
\(372\) −505530. + 37884.3i −3.65310 + 0.273762i
\(373\) 45051.7 + 146054.i 0.323813 + 1.04977i 0.960413 + 0.278581i \(0.0898640\pi\)
−0.636600 + 0.771194i \(0.719660\pi\)
\(374\) 44529.6 295435.i 0.318351 2.11212i
\(375\) −229778. 213203.i −1.63398 1.51611i
\(376\) −56131.8 116559.i −0.397039 0.824461i
\(377\) −3830.87 25416.1i −0.0269535 0.178824i
\(378\) 114330. 167692.i 0.800163 1.17362i
\(379\) 172546. 216366.i 1.20123 1.50630i 0.390789 0.920480i \(-0.372202\pi\)
0.810443 0.585817i \(-0.199226\pi\)
\(380\) 117273. + 203123.i 0.812140 + 1.40667i
\(381\) 13439.0 + 7758.99i 0.0925797 + 0.0534509i
\(382\) 75100.4 + 191353.i 0.514654 + 1.31132i
\(383\) −33143.3 + 68822.8i −0.225943 + 0.469175i −0.982864 0.184331i \(-0.940988\pi\)
0.756922 + 0.653506i \(0.226702\pi\)
\(384\) 256057. + 78983.0i 1.73650 + 0.535638i
\(385\) 33505.7 146798.i 0.226046 0.990374i
\(386\) 4048.48i 0.0271717i
\(387\) 218363. 128206.i 1.45800 0.856026i
\(388\) −97583.2 −0.648204
\(389\) −236265. 53926.0i −1.56135 0.356368i −0.647386 0.762162i \(-0.724138\pi\)
−0.913965 + 0.405794i \(0.866995\pi\)
\(390\) 66014.0 214012.i 0.434017 1.40705i
\(391\) −280264. 134968.i −1.83322 0.882831i
\(392\) 29275.0 11489.6i 0.190513 0.0747708i
\(393\) −14563.8 + 25225.2i −0.0942952 + 0.163324i
\(394\) −4366.94 + 2521.25i −0.0281310 + 0.0162414i
\(395\) 158431. + 126344.i 1.01542 + 0.809771i
\(396\) −227017. 154778.i −1.44766 0.987001i
\(397\) 20131.7 3034.36i 0.127732 0.0192525i −0.0848652 0.996392i \(-0.527046\pi\)
0.212597 + 0.977140i \(0.431808\pi\)
\(398\) −324941. + 156483.i −2.05134 + 0.987875i
\(399\) 100625. 108448.i 0.632063 0.681202i
\(400\) −132392. 19954.9i −0.827449 0.124718i
\(401\) −260269. + 80282.5i −1.61858 + 0.499266i −0.966019 0.258470i \(-0.916782\pi\)
−0.652562 + 0.757736i \(0.726306\pi\)
\(402\) 5659.85 + 75525.4i 0.0350229 + 0.467349i
\(403\) 56474.8 + 70817.2i 0.347732 + 0.436042i
\(404\) −16042.1 + 40874.7i −0.0982877 + 0.250433i
\(405\) 31389.0 + 33829.3i 0.191367 + 0.206245i
\(406\) −60752.1 89106.9i −0.368561 0.540579i
\(407\) −12002.2 899.441i −0.0724557 0.00542980i
\(408\) −67355.3 295103.i −0.404624 1.77277i
\(409\) −282321. + 64437.9i −1.68770 + 0.385207i −0.955294 0.295657i \(-0.904461\pi\)
−0.732410 + 0.680864i \(0.761604\pi\)
\(410\) −23227.6 + 309951.i −0.138177 + 1.84385i
\(411\) 148831. 101472.i 0.881071 0.600704i
\(412\) −87911.0 + 81569.5i −0.517904 + 0.480544i
\(413\) 74438.1 + 29214.8i 0.436410 + 0.171278i
\(414\) −384841. + 306901.i −2.24533 + 1.79059i
\(415\) −66443.4 + 4979.25i −0.385794 + 0.0289113i
\(416\) −23209.5 75243.3i −0.134115 0.434791i
\(417\) −2109.36 + 13994.7i −0.0121305 + 0.0804807i
\(418\) −103204. 95759.5i −0.590670 0.548062i
\(419\) 108235. + 224753.i 0.616511 + 1.28020i 0.942304 + 0.334757i \(0.108654\pi\)
−0.325794 + 0.945441i \(0.605631\pi\)
\(420\) −81396.3 540029.i −0.461430 3.06139i
\(421\) 46713.8 68516.6i 0.263561 0.386573i −0.671532 0.740976i \(-0.734363\pi\)
0.935093 + 0.354403i \(0.115316\pi\)
\(422\) −68693.8 + 86139.4i −0.385738 + 0.483701i
\(423\) −231114. 400301.i −1.29165 2.23721i
\(424\) 111810. + 64553.3i 0.621938 + 0.359076i
\(425\) 221145. + 563467.i 1.22433 + 3.11954i
\(426\) −18803.9 + 39046.7i −0.103616 + 0.215162i
\(427\) −15379.3 4743.88i −0.0843490 0.0260182i
\(428\) 7912.39 34666.4i 0.0431937 0.189244i
\(429\) 78128.9i 0.424519i
\(430\) 137836. 458714.i 0.745463 2.48087i
\(431\) −137012. −0.737573 −0.368787 0.929514i \(-0.620227\pi\)
−0.368787 + 0.929514i \(0.620227\pi\)
\(432\) 95276.8 + 21746.3i 0.510528 + 0.116525i
\(433\) 49033.6 158963.i 0.261528 0.847852i −0.725628 0.688088i \(-0.758450\pi\)
0.987155 0.159764i \(-0.0510734\pi\)
\(434\) 342416. + 164899.i 1.81792 + 0.875463i
\(435\) 252796. 99215.0i 1.33595 0.524323i
\(436\) 200630. 347501.i 1.05541 1.82803i
\(437\) −126944. + 73291.0i −0.664734 + 0.383785i
\(438\) 468956. + 373980.i 2.44446 + 1.94940i
\(439\) −99230.7 67654.4i −0.514893 0.351048i 0.277830 0.960630i \(-0.410385\pi\)
−0.792723 + 0.609582i \(0.791337\pi\)
\(440\) −143551. + 21636.9i −0.741485 + 0.111761i
\(441\) 101236. 48752.8i 0.520546 0.250682i
\(442\) −131695. + 141933.i −0.674099 + 0.726506i
\(443\) 105871. + 15957.5i 0.539472 + 0.0813123i 0.413126 0.910674i \(-0.364437\pi\)
0.126346 + 0.991986i \(0.459675\pi\)
\(444\) −41714.6 + 12867.2i −0.211603 + 0.0652709i
\(445\) −24777.3 330630.i −0.125122 1.66964i
\(446\) 195371. + 244988.i 0.982180 + 1.23161i
\(447\) −121220. + 308863.i −0.606678 + 1.54579i
\(448\) −173530. 187020.i −0.864604 0.931822i
\(449\) −214450. 314541.i −1.06374 1.56021i −0.804088 0.594511i \(-0.797346\pi\)
−0.259648 0.965703i \(-0.583607\pi\)
\(450\) 955152. + 71578.8i 4.71680 + 0.353475i
\(451\) −24127.8 105711.i −0.118622 0.519715i
\(452\) 510887. 116607.i 2.50062 0.570751i
\(453\) 16921.4 225800.i 0.0824593 1.10034i
\(454\) −112949. + 77007.3i −0.547988 + 0.373612i
\(455\) −71530.6 + 66370.7i −0.345517 + 0.320593i
\(456\) −132775. 52110.2i −0.638536 0.250607i
\(457\) −978.712 + 780.497i −0.00468622 + 0.00373713i −0.625830 0.779959i \(-0.715240\pi\)
0.621144 + 0.783697i \(0.286668\pi\)
\(458\) −13897.1 + 1041.44i −0.0662510 + 0.00496483i
\(459\) −130231. 422199.i −0.618144 2.00397i
\(460\) −80648.9 + 535070.i −0.381138 + 2.52869i
\(461\) 169292. + 157080.i 0.796590 + 0.739127i 0.969310 0.245844i \(-0.0790650\pi\)
−0.172720 + 0.984971i \(0.555255\pi\)
\(462\) 142234. + 295352.i 0.666376 + 1.38374i
\(463\) 4196.83 + 27844.1i 0.0195776 + 0.129889i 0.996485 0.0837761i \(-0.0266980\pi\)
−0.976907 + 0.213665i \(0.931460\pi\)
\(464\) 29252.9 42906.2i 0.135873 0.199289i
\(465\) −596686. + 748221.i −2.75956 + 3.46038i
\(466\) −44504.4 77083.9i −0.204942 0.354970i
\(467\) 248330. + 143373.i 1.13866 + 0.657407i 0.946099 0.323877i \(-0.104986\pi\)
0.192564 + 0.981284i \(0.438320\pi\)
\(468\) 65052.0 + 165750.i 0.297008 + 0.756765i
\(469\) 14317.4 29730.4i 0.0650908 0.135162i
\(470\) −835485. 257713.i −3.78219 1.16665i
\(471\) −34478.1 + 151058.i −0.155418 + 0.680931i
\(472\) 77097.8i 0.346065i
\(473\) 1219.52 + 167085.i 0.00545088 + 0.746820i
\(474\) −441173. −1.96359
\(475\) 278082. + 63470.4i 1.23250 + 0.281309i
\(476\) −139165. + 451162.i −0.614210 + 1.99122i
\(477\) 415603. + 200144.i 1.82659 + 0.879641i
\(478\) −433737. + 170229.i −1.89833 + 0.745038i
\(479\) 63724.8 110375.i 0.277739 0.481058i −0.693083 0.720857i \(-0.743748\pi\)
0.970823 + 0.239799i \(0.0770815\pi\)
\(480\) 720486. 415973.i 3.12711 1.80544i
\(481\) 6098.17 + 4863.13i 0.0263578 + 0.0210197i
\(482\) −190314. 129754.i −0.819174 0.558503i
\(483\) 337497. 50869.4i 1.44669 0.218053i
\(484\) −129513. + 62370.0i −0.552868 + 0.266247i
\(485\) −125299. + 135040.i −0.532677 + 0.574089i
\(486\) 309548. + 46656.9i 1.31056 + 0.197535i
\(487\) 279987. 86364.5i 1.18054 0.364147i 0.358471 0.933541i \(-0.383298\pi\)
0.822065 + 0.569393i \(0.192822\pi\)
\(488\) 1159.59 + 15473.7i 0.00486929 + 0.0649761i
\(489\) 268253. + 336379.i 1.12183 + 1.40673i
\(490\) 77650.3 197850.i 0.323408 0.824030i
\(491\) −261318. 281633.i −1.08394 1.16821i −0.984899 0.173128i \(-0.944613\pi\)
−0.0990420 0.995083i \(-0.531578\pi\)
\(492\) −221538. 324936.i −0.915204 1.34236i
\(493\) −234119. 17544.8i −0.963259 0.0721862i
\(494\) 20302.2 + 88949.7i 0.0831934 + 0.364494i
\(495\) −505683. + 115419.i −2.06380 + 0.471050i
\(496\) −13675.6 + 182489.i −0.0555884 + 0.741776i
\(497\) 15601.4 10636.8i 0.0631611 0.0430625i
\(498\) 106337. 98666.3i 0.428771 0.397841i
\(499\) 221257. + 86836.8i 0.888577 + 0.348741i 0.765332 0.643635i \(-0.222575\pi\)
0.123245 + 0.992376i \(0.460670\pi\)
\(500\) 368546. 293906.i 1.47418 1.17562i
\(501\) 324323. 24304.6i 1.29212 0.0968308i
\(502\) −14165.1 45922.3i −0.0562100 0.182228i
\(503\) 48106.9 319168.i 0.190139 1.26149i −0.666473 0.745529i \(-0.732197\pi\)
0.856612 0.515961i \(-0.172565\pi\)
\(504\) 152978. + 141943.i 0.602238 + 0.558796i
\(505\) 35965.8 + 74683.8i 0.141029 + 0.292849i
\(506\) −48409.8 321178.i −0.189074 1.25442i
\(507\) −209001. + 306549.i −0.813080 + 1.19257i
\(508\) −14550.2 + 18245.4i −0.0563822 + 0.0707011i
\(509\) 43523.2 + 75384.4i 0.167991 + 0.290968i 0.937713 0.347410i \(-0.112939\pi\)
−0.769723 + 0.638379i \(0.779605\pi\)
\(510\) −1.77162e6 1.02285e6i −6.81130 3.93251i
\(511\) −95477.2 243272.i −0.365644 0.931645i
\(512\) 100508. 208707.i 0.383407 0.796152i
\(513\) −198948. 61367.4i −0.755972 0.233186i
\(514\) −20910.6 + 91615.4i −0.0791481 + 0.346771i
\(515\) 226392.i 0.853586i
\(516\) 225520. + 562509.i 0.847006 + 2.11266i
\(517\) 305008. 1.14112
\(518\) 31906.4 + 7282.42i 0.118910 + 0.0271404i
\(519\) −45255.8 + 146716.i −0.168012 + 0.544681i
\(520\) 84762.7 + 40819.5i 0.313471 + 0.150960i
\(521\) −154825. + 60764.5i −0.570383 + 0.223859i −0.632964 0.774181i \(-0.718162\pi\)
0.0625812 + 0.998040i \(0.480067\pi\)
\(522\) −185752. + 321732.i −0.681699 + 1.18074i
\(523\) −274470. + 158465.i −1.00344 + 0.579337i −0.909265 0.416219i \(-0.863355\pi\)
−0.0941763 + 0.995556i \(0.530022\pi\)
\(524\) −34247.0 27311.1i −0.124727 0.0994664i
\(525\) −548748. 374130.i −1.99092 1.35739i
\(526\) 832369. 125459.i 3.00846 0.453453i
\(527\) 745419. 358975.i 2.68398 1.29254i
\(528\) −107364. + 115710.i −0.385114 + 0.415054i
\(529\) −57682.3 8694.21i −0.206125 0.0310684i
\(530\) 833779. 257187.i 2.96824 0.915581i
\(531\) −20585.3 274692.i −0.0730077 0.974220i
\(532\) 138714. + 173942.i 0.490115 + 0.614585i
\(533\) −25671.6 + 65410.3i −0.0903648 + 0.230246i
\(534\) 490975. + 529145.i 1.72178 + 1.85563i
\(535\) −37813.4 55462.0i −0.132111 0.193771i
\(536\) −31725.8 2377.52i −0.110429 0.00827551i
\(537\) 76546.9 + 335374.i 0.265448 + 1.16300i
\(538\) 548741. 125247.i 1.89584 0.432714i
\(539\) −5540.86 + 73937.6i −0.0190721 + 0.254500i
\(540\) −635024. + 432952.i −2.17772 + 1.48475i
\(541\) −102006. + 94647.8i −0.348523 + 0.323382i −0.834936 0.550347i \(-0.814495\pi\)
0.486413 + 0.873729i \(0.338305\pi\)
\(542\) −385261. 151204.i −1.31146 0.514712i
\(543\) −204090. + 162757.i −0.692186 + 0.552000i
\(544\) −717221. + 53748.3i −2.42357 + 0.181621i
\(545\) −223275. 723840.i −0.751704 2.43697i
\(546\) 31662.7 210068.i 0.106209 0.704654i
\(547\) −17265.7 16020.2i −0.0577045 0.0535420i 0.650793 0.759255i \(-0.274436\pi\)
−0.708498 + 0.705713i \(0.750627\pi\)
\(548\) 117535. + 244064.i 0.391387 + 0.812724i
\(549\) 8263.03 + 54821.6i 0.0274154 + 0.181889i
\(550\) −356040. + 522215.i −1.17699 + 1.72633i
\(551\) −68977.1 + 86494.6i −0.227197 + 0.284896i
\(552\) −164534. 284981.i −0.539979 0.935271i
\(553\) 166465. + 96108.3i 0.544341 + 0.314276i
\(554\) −123889. 315664.i −0.403658 1.02850i
\(555\) −35756.2 + 74248.4i −0.116082 + 0.241047i
\(556\) −20338.1 6273.48i −0.0657902 0.0202936i
\(557\) 11749.7 51478.9i 0.0378719 0.165928i −0.952456 0.304678i \(-0.901451\pi\)
0.990327 + 0.138750i \(0.0443084\pi\)
\(558\) 1.30919e6i 4.20468i
\(559\) 60343.2 89910.1i 0.193110 0.287730i
\(560\) −197144. −0.628648
\(561\) 695743. + 158799.i 2.21067 + 0.504570i
\(562\) 205154. 665092.i 0.649541 2.10576i
\(563\) 30565.7 + 14719.7i 0.0964311 + 0.0464388i 0.481478 0.876458i \(-0.340100\pi\)
−0.385046 + 0.922897i \(0.625815\pi\)
\(564\) 1.02979e6 404163.i 3.23736 1.27057i
\(565\) 494625. 856716.i 1.54946 2.68374i
\(566\) 36196.6 20898.1i 0.112989 0.0652341i
\(567\) 34224.4 + 27293.0i 0.106456 + 0.0848957i
\(568\) −15041.8 10255.3i −0.0466233 0.0317873i
\(569\) −553541. + 83432.9i −1.70972 + 0.257699i −0.929770 0.368141i \(-0.879995\pi\)
−0.779952 + 0.625840i \(0.784756\pi\)
\(570\) −868506. + 418250.i −2.67315 + 1.28732i
\(571\) 138947. 149749.i 0.426163 0.459295i −0.483070 0.875582i \(-0.660478\pi\)
0.909233 + 0.416287i \(0.136669\pi\)
\(572\) −116182. 17511.6i −0.355097 0.0535222i
\(573\) −469185. + 144725.i −1.42901 + 0.440791i
\(574\) 22032.8 + 294007.i 0.0668721 + 0.892347i
\(575\) 410290. + 514487.i 1.24095 + 1.55611i
\(576\) −321078. + 818093.i −0.967755 + 2.46580i
\(577\) −12202.8 13151.5i −0.0366528 0.0395023i 0.714459 0.699677i \(-0.246673\pi\)
−0.751112 + 0.660175i \(0.770482\pi\)
\(578\) 705454. + 1.03471e6i 2.11161 + 3.09716i
\(579\) 9643.01 + 722.644i 0.0287644 + 0.00215559i
\(580\) 90877.2 + 398159.i 0.270146 + 1.18359i
\(581\) −61617.6 + 14063.8i −0.182538 + 0.0416630i
\(582\) 29971.3 399939.i 0.0884829 1.18072i
\(583\) −251495. + 171466.i −0.739933 + 0.504478i
\(584\) −184703. + 171379.i −0.541562 + 0.502496i
\(585\) 312900. + 122804.i 0.914312 + 0.358841i
\(586\) −514435. + 410248.i −1.49808 + 1.19468i
\(587\) 100752. 7550.32i 0.292400 0.0219124i 0.0722774 0.997385i \(-0.476973\pi\)
0.220123 + 0.975472i \(0.429354\pi\)
\(588\) 79266.5 + 256976.i 0.229263 + 0.743254i
\(589\) 58106.3 385510.i 0.167491 1.11123i
\(590\) −381958. 354405.i −1.09726 1.01811i
\(591\) −5225.85 10851.6i −0.0149617 0.0310684i
\(592\) 2348.67 + 15582.4i 0.00670161 + 0.0444623i
\(593\) −343739. + 504173.i −0.977507 + 1.43374i −0.0779385 + 0.996958i \(0.524834\pi\)
−0.899568 + 0.436781i \(0.856119\pi\)
\(594\) 287640. 360689.i 0.815222 1.02226i
\(595\) 445649. + 771886.i 1.25881 + 2.18031i
\(596\) −432126. 249488.i −1.21652 0.702356i
\(597\) −314724. 801904.i −0.883042 2.24995i
\(598\) −91328.4 + 189645.i −0.255390 + 0.530323i
\(599\) 574450. + 177194.i 1.60103 + 0.493852i 0.961474 0.274895i \(-0.0886432\pi\)
0.639553 + 0.768747i \(0.279119\pi\)
\(600\) −142487. + 624277.i −0.395798 + 1.73410i
\(601\) 299881.i 0.830234i −0.909768 0.415117i \(-0.863741\pi\)
0.909768 0.415117i \(-0.136259\pi\)
\(602\) 64434.5 449744.i 0.177797 1.24100i
\(603\) −113671. −0.312619
\(604\) 331985. + 75773.4i 0.910006 + 0.207703i
\(605\) −79986.5 + 259310.i −0.218528 + 0.708449i
\(606\) −162595. 78301.8i −0.442754 0.213219i
\(607\) 146695. 57573.5i 0.398142 0.156259i −0.157818 0.987468i \(-0.550446\pi\)
0.555960 + 0.831209i \(0.312351\pi\)
\(608\) −169458. + 293510.i −0.458411 + 0.793991i
\(609\) 223087. 128799.i 0.601504 0.347279i
\(610\) 81990.1 + 65384.9i 0.220344 + 0.175719i
\(611\) −163315. 111346.i −0.437465 0.298259i
\(612\) 1.60823e6 242402.i 4.29384 0.647193i
\(613\) −508844. + 245046.i −1.35414 + 0.652119i −0.963322 0.268349i \(-0.913522\pi\)
−0.390817 + 0.920468i \(0.627808\pi\)
\(614\) 274871. 296241.i 0.729109 0.785792i
\(615\) −734122. 110651.i −1.94097 0.292554i
\(616\) −131587. + 40589.3i −0.346778 + 0.106967i
\(617\) −27912.7 372469.i −0.0733216 0.978408i −0.905623 0.424085i \(-0.860596\pi\)
0.832301 0.554324i \(-0.187023\pi\)
\(618\) −307307. 385351.i −0.804629 1.00897i
\(619\) −79760.6 + 203227.i −0.208165 + 0.530395i −0.996381 0.0850036i \(-0.972910\pi\)
0.788216 + 0.615399i \(0.211005\pi\)
\(620\) −978906. 1.05501e6i −2.54658 2.74456i
\(621\) −270578. 396865.i −0.701632 1.02910i
\(622\) −847407. 63504.4i −2.19034 0.164143i
\(623\) −69983.2 306616.i −0.180309 0.789985i
\(624\) 99728.6 22762.4i 0.256124 0.0584587i
\(625\) 13648.3 182124.i 0.0349396 0.466237i
\(626\) 787534. 536931.i 2.00965 1.37016i
\(627\) 246510. 228728.i 0.627046 0.581813i
\(628\) −216904. 85128.7i −0.549983 0.215852i
\(629\) 55701.2 44420.2i 0.140787 0.112274i
\(630\) 1.40643e6 105397.i 3.54353 0.265551i
\(631\) 206701. + 670108.i 0.519139 + 1.68301i 0.712328 + 0.701847i \(0.247641\pi\)
−0.193189 + 0.981162i \(0.561883\pi\)
\(632\) 27620.9 183253.i 0.0691518 0.458792i
\(633\) −192912. 178997.i −0.481452 0.446722i
\(634\) −97458.6 202375.i −0.242461 0.503475i
\(635\) 6566.04 + 43562.8i 0.0162838 + 0.108036i
\(636\) −621908. + 912171.i −1.53749 + 2.25508i
\(637\) 29958.5 37566.7i 0.0738314 0.0925816i
\(638\) −122571. 212300.i −0.301125 0.521565i
\(639\) −56330.8 32522.6i −0.137957 0.0796495i
\(640\) 277926. + 708144.i 0.678531 + 1.72887i
\(641\) −87743.8 + 182202.i −0.213550 + 0.443442i −0.980036 0.198819i \(-0.936289\pi\)
0.766486 + 0.642261i \(0.222004\pi\)
\(642\) 139648. + 43075.8i 0.338817 + 0.104511i
\(643\) 81625.9 357626.i 0.197427 0.864983i −0.775035 0.631919i \(-0.782268\pi\)
0.972461 0.233064i \(-0.0748753\pi\)
\(644\) 513278.i 1.23760i
\(645\) 1.06800e6 + 410189.i 2.56715 + 0.985972i
\(646\) 833368. 1.99697
\(647\) −295620. 67473.3i −0.706195 0.161184i −0.145684 0.989331i \(-0.546538\pi\)
−0.560511 + 0.828147i \(0.689395\pi\)
\(648\) 12440.0 40329.6i 0.0296259 0.0960448i
\(649\) 163767. + 78866.1i 0.388810 + 0.187241i
\(650\) 381280. 149641.i 0.902437 0.354180i
\(651\) −453890. + 786161.i −1.07100 + 1.85502i
\(652\) −560340. + 323513.i −1.31812 + 0.761020i
\(653\) −171030. 136392.i −0.401094 0.319862i 0.402082 0.915604i \(-0.368287\pi\)
−0.803176 + 0.595742i \(0.796858\pi\)
\(654\) 1.36259e6 + 928999.i 3.18574 + 2.17200i
\(655\) −81768.3 + 12324.6i −0.190591 + 0.0287270i
\(656\) −127906. + 61596.4i −0.297224 + 0.143135i
\(657\) −612320. + 659924.i −1.41856 + 1.52884i
\(658\) −820089. 123608.i −1.89413 0.285494i
\(659\) 510654. 157516.i 1.17586 0.362705i 0.355569 0.934650i \(-0.384287\pi\)
0.820292 + 0.571945i \(0.193811\pi\)
\(660\) −92769.1 1.23792e6i −0.212969 2.84187i
\(661\) 382539. + 479689.i 0.875535 + 1.09789i 0.994474 + 0.104984i \(0.0334792\pi\)
−0.118939 + 0.992902i \(0.537949\pi\)
\(662\) −136697. + 348297.i −0.311919 + 0.794757i
\(663\) −314561. 339016.i −0.715612 0.771247i
\(664\) 34326.1 + 50347.2i 0.0778554 + 0.114193i
\(665\) 418822. + 31386.4i 0.947079 + 0.0709737i
\(666\) −25086.1 109909.i −0.0565568 0.247792i
\(667\) −248834. + 56794.6i −0.559316 + 0.127660i
\(668\) −36550.6 + 487734.i −0.0819109 + 1.09302i
\(669\) −618406. + 421622.i −1.38172 + 0.942044i
\(670\) −157617. + 146247.i −0.351118 + 0.325790i
\(671\) −34054.6 13365.4i −0.0756364 0.0296851i
\(672\) 616981. 492026.i 1.36626 1.08956i
\(673\) 48998.2 3671.90i 0.108181 0.00810702i −0.0205297 0.999789i \(-0.506535\pi\)
0.128710 + 0.991682i \(0.458916\pi\)
\(674\) 153150. + 496500.i 0.337130 + 1.09295i
\(675\) −139305. + 924229.i −0.305745 + 2.02849i
\(676\) −409010. 379506.i −0.895036 0.830472i
\(677\) 228178. + 473817.i 0.497848 + 1.03379i 0.986869 + 0.161521i \(0.0516399\pi\)
−0.489021 + 0.872272i \(0.662646\pi\)
\(678\) 320994. + 2.12966e6i 0.698293 + 4.63287i
\(679\) −98434.6 + 144377.i −0.213505 + 0.313154i
\(680\) 535783. 671851.i 1.15870 1.45297i
\(681\) −163261. 282777.i −0.352038 0.609748i
\(682\) 748148. + 431943.i 1.60849 + 0.928663i
\(683\) −95687.6 243808.i −0.205123 0.522645i 0.790879 0.611972i \(-0.209624\pi\)
−0.996002 + 0.0893274i \(0.971528\pi\)
\(684\) 332524. 690494.i 0.710741 1.47587i
\(685\) 488665. + 150733.i 1.04143 + 0.321239i
\(686\) 176143. 771735.i 0.374299 1.63991i
\(687\) 33287.1i 0.0705282i
\(688\) 212923. 50236.0i 0.449827 0.106130i
\(689\) 197257. 0.415522
\(690\) −2.16818e6 494874.i −4.55405 1.03943i
\(691\) −128572. + 416822.i −0.269272 + 0.872960i 0.715425 + 0.698689i \(0.246233\pi\)
−0.984698 + 0.174271i \(0.944243\pi\)
\(692\) −208031. 100182.i −0.434426 0.209208i
\(693\) −457995. + 179750.i −0.953662 + 0.374285i
\(694\) 562649. 974537.i 1.16820 2.02339i
\(695\) −34796.1 + 20089.6i −0.0720379 + 0.0415911i
\(696\) −194175. 154849.i −0.400844 0.319662i
\(697\) 530305. + 361556.i 1.09159 + 0.744235i
\(698\) −997873. + 150405.i −2.04816 + 0.308711i
\(699\) 191549. 92245.1i 0.392035 0.188794i
\(700\) 679348. 732163.i 1.38642 1.49421i
\(701\) −226679. 34166.3i −0.461291 0.0695284i −0.0857141 0.996320i \(-0.527317\pi\)
−0.375577 + 0.926791i \(0.622555\pi\)
\(702\) −285688. + 88123.2i −0.579720 + 0.178820i
\(703\) −2508.82 33477.9i −0.00507644 0.0677404i
\(704\) −361573. 453399.i −0.729543 0.914818i
\(705\) 762974. 1.94403e6i 1.53508 3.91133i
\(706\) −372824. 401809.i −0.747988 0.806140i
\(707\) 44293.1 + 64966.1i 0.0886130 + 0.129971i
\(708\) 657428. + 49267.4i 1.31154 + 0.0982863i
\(709\) −10231.0 44825.0i −0.0203529 0.0891719i 0.963731 0.266874i \(-0.0859908\pi\)
−0.984084 + 0.177702i \(0.943134\pi\)
\(710\) −119952. + 27378.2i −0.237952 + 0.0543110i
\(711\) 49481.7 660287.i 0.0978825 1.30615i
\(712\) −250533. + 170811.i −0.494203 + 0.336942i
\(713\) 659340. 611778.i 1.29697 1.20341i
\(714\) −1.80632e6 708929.i −3.54322 1.39061i
\(715\) −173414. + 138293.i −0.339212 + 0.270513i
\(716\) −515877. + 38659.6i −1.00628 + 0.0754104i
\(717\) −328046. 1.06350e6i −0.638111 2.06870i
\(718\) 74192.7 492236.i 0.143917 0.954827i
\(719\) −72063.5 66865.1i −0.139398 0.129343i 0.607392 0.794402i \(-0.292216\pi\)
−0.746790 + 0.665059i \(0.768406\pi\)
\(720\) 294656. + 611859.i 0.568395 + 1.18028i
\(721\) 32006.3 + 212348.i 0.0615694 + 0.408486i
\(722\) −232528. + 341055.i −0.446067 + 0.654260i
\(723\) 343029. 430145.i 0.656227 0.822883i
\(724\) −196284. 339974.i −0.374462 0.648587i
\(725\) 430118. + 248329.i 0.818298 + 0.472444i
\(726\) −215842. 549956.i −0.409508 1.04341i
\(727\) −180082. + 373943.i −0.340722 + 0.707517i −0.998974 0.0452806i \(-0.985582\pi\)
0.658252 + 0.752798i \(0.271296\pi\)
\(728\) 85275.2 + 26303.9i 0.160901 + 0.0496315i
\(729\) −186231. + 815932.i −0.350427 + 1.53532i
\(730\) 1.70285e6i 3.19545i
\(731\) −678007. 720105.i −1.26882 1.34760i
\(732\) −132688. −0.247634
\(733\) −334107. 76257.7i −0.621838 0.141930i −0.100017 0.994986i \(-0.531890\pi\)
−0.521821 + 0.853055i \(0.674747\pi\)
\(734\) −330186. + 1.07044e6i −0.612868 + 1.98687i
\(735\) 457395. + 220270.i 0.846675 + 0.407737i
\(736\) −727853. + 285661.i −1.34366 + 0.527346i
\(737\) 37503.7 64958.4i 0.0690461 0.119591i
\(738\) 879553. 507810.i 1.61491 0.932371i
\(739\) −608919. 485597.i −1.11499 0.889174i −0.120366 0.992730i \(-0.538407\pi\)
−0.994624 + 0.103555i \(0.966978\pi\)
\(740\) −102397. 69813.3i −0.186993 0.127490i
\(741\) −215492. + 32480.2i −0.392459 + 0.0591537i
\(742\) 745695. 359108.i 1.35442 0.652254i
\(743\) 412353. 444411.i 0.746951 0.805021i −0.239183 0.970975i \(-0.576880\pi\)
0.986134 + 0.165953i \(0.0530700\pi\)
\(744\) 865446. + 130445.i 1.56349 + 0.235658i
\(745\) −900113. + 277648.i −1.62175 + 0.500244i
\(746\) −70596.9 942050.i −0.126855 1.69276i
\(747\) 135744. + 170217.i 0.243264 + 0.305044i
\(748\) −392085. + 999017.i −0.700773 + 1.78554i
\(749\) −43308.5 46675.5i −0.0771986 0.0832003i
\(750\) 1.09136e6 + 1.60073e6i 1.94020 + 2.84575i
\(751\) 352304. + 26401.5i 0.624652 + 0.0468112i 0.383296 0.923626i \(-0.374789\pi\)
0.241356 + 0.970437i \(0.422408\pi\)
\(752\) −88862.4 389331.i −0.157138 0.688468i
\(753\) 111910. 25542.7i 0.197369 0.0450482i
\(754\) −11872.0 + 158421.i −0.0208824 + 0.278656i
\(755\) 531135. 362121.i 0.931774 0.635273i
\(756\) −534421. + 495870.i −0.935061 + 0.867610i