# Properties

 Label 38.6.e.b.17.5 Level $38$ Weight $6$ Character 38.17 Analytic conductor $6.095$ Analytic rank $0$ Dimension $30$ CM no Inner twists $2$

# Related objects

## Newspace parameters

 Level: $$N$$ $$=$$ $$38 = 2 \cdot 19$$ Weight: $$k$$ $$=$$ $$6$$ Character orbit: $$[\chi]$$ $$=$$ 38.e (of order $$9$$, degree $$6$$, minimal)

## Newform invariants

 Self dual: no Analytic conductor: $$6.09458515289$$ Analytic rank: $$0$$ Dimension: $$30$$ Relative dimension: $$5$$ over $$\Q(\zeta_{9})$$ Twist minimal: yes Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

## Embedding invariants

 Embedding label 17.5 Character $$\chi$$ $$=$$ 38.17 Dual form 38.6.e.b.9.5

## $q$-expansion

 $$f(q)$$ $$=$$ $$q+(0.694593 - 3.93923i) q^{2} +(19.8464 + 16.6531i) q^{3} +(-15.0351 - 5.47232i) q^{4} +(17.3464 - 6.31358i) q^{5} +(79.3855 - 66.6124i) q^{6} +(61.0467 + 105.736i) q^{7} +(-32.0000 + 55.4256i) q^{8} +(74.3569 + 421.699i) q^{9} +O(q^{10})$$ $$q+(0.694593 - 3.93923i) q^{2} +(19.8464 + 16.6531i) q^{3} +(-15.0351 - 5.47232i) q^{4} +(17.3464 - 6.31358i) q^{5} +(79.3855 - 66.6124i) q^{6} +(61.0467 + 105.736i) q^{7} +(-32.0000 + 55.4256i) q^{8} +(74.3569 + 421.699i) q^{9} +(-12.8220 - 72.7169i) q^{10} +(35.5887 - 61.6414i) q^{11} +(-207.261 - 358.986i) q^{12} +(413.918 - 347.319i) q^{13} +(458.921 - 167.034i) q^{14} +(449.405 + 163.570i) q^{15} +(196.107 + 164.554i) q^{16} +(38.4150 - 217.862i) q^{17} +1712.82 q^{18} +(511.729 - 1488.03i) q^{19} -295.355 q^{20} +(-549.275 + 3115.09i) q^{21} +(-218.100 - 183.008i) q^{22} +(-3869.48 - 1408.38i) q^{23} +(-1558.09 + 567.099i) q^{24} +(-2132.85 + 1789.68i) q^{25} +(-1080.66 - 1871.76i) q^{26} +(-2399.10 + 4155.37i) q^{27} +(-339.221 - 1923.82i) q^{28} +(964.187 + 5468.17i) q^{29} +(956.493 - 1656.69i) q^{30} +(-3775.51 - 6539.37i) q^{31} +(784.430 - 658.215i) q^{32} +(1732.83 - 630.697i) q^{33} +(-831.527 - 302.651i) q^{34} +(1726.52 + 1448.72i) q^{35} +(1189.71 - 6747.19i) q^{36} +6113.82 q^{37} +(-5506.25 - 3049.39i) q^{38} +13998.7 q^{39} +(-205.151 + 1163.47i) q^{40} +(-15601.8 - 13091.5i) q^{41} +(11889.6 + 4327.44i) q^{42} +(-4795.60 + 1745.46i) q^{43} +(-872.400 + 732.031i) q^{44} +(3952.26 + 6845.51i) q^{45} +(-8235.63 + 14264.5i) q^{46} +(912.747 + 5176.44i) q^{47} +(1151.70 + 6531.59i) q^{48} +(950.100 - 1645.62i) q^{49} +(5568.48 + 9644.89i) q^{50} +(4390.48 - 3684.05i) q^{51} +(-8123.93 + 2956.87i) q^{52} +(3237.43 + 1178.33i) q^{53} +(14702.6 + 12336.9i) q^{54} +(228.158 - 1293.95i) q^{55} -7813.98 q^{56} +(34936.3 - 21010.1i) q^{57} +22210.1 q^{58} +(9086.66 - 51533.0i) q^{59} +(-5861.73 - 4918.57i) q^{60} +(41565.0 + 15128.4i) q^{61} +(-28382.5 + 10330.4i) q^{62} +(-40049.5 + 33605.5i) q^{63} +(-2048.00 - 3547.24i) q^{64} +(4987.18 - 8638.04i) q^{65} +(-1280.85 - 7264.08i) q^{66} +(11301.7 + 64095.0i) q^{67} +(-1769.79 + 3065.36i) q^{68} +(-53341.4 - 92390.0i) q^{69} +(6906.06 - 5794.87i) q^{70} +(-37066.0 + 13490.9i) q^{71} +(-25752.4 - 9373.09i) q^{72} +(-5826.55 - 4889.06i) q^{73} +(4246.61 - 24083.7i) q^{74} -72133.0 q^{75} +(-15836.9 + 19572.3i) q^{76} +8690.29 q^{77} +(9723.40 - 55144.1i) q^{78} +(31918.9 + 26783.2i) q^{79} +(4440.68 + 1616.28i) q^{80} +(-19034.8 + 6928.10i) q^{81} +(-62407.4 + 52366.0i) q^{82} +(17876.7 + 30963.4i) q^{83} +(25305.2 - 43829.9i) q^{84} +(-709.129 - 4021.67i) q^{85} +(3544.76 + 20103.4i) q^{86} +(-71926.4 + 124580. i) q^{87} +(2277.68 + 3945.05i) q^{88} +(68243.2 - 57262.9i) q^{89} +(29711.3 - 10814.0i) q^{90} +(61992.4 + 22563.4i) q^{91} +(50470.9 + 42350.1i) q^{92} +(33970.6 - 192657. i) q^{93} +21025.2 q^{94} +(-518.135 - 29042.8i) q^{95} +26529.4 q^{96} +(-2906.75 + 16485.0i) q^{97} +(-5822.55 - 4885.70i) q^{98} +(28640.4 + 10424.3i) q^{99} +O(q^{100})$$ $$\operatorname{Tr}(f)(q)$$ $$=$$ $$30q + 15q^{3} + 60q^{6} - 84q^{7} - 960q^{8} - 345q^{9} + O(q^{10})$$ $$30q + 15q^{3} + 60q^{6} - 84q^{7} - 960q^{8} - 345q^{9} - 126q^{11} - 2610q^{13} - 864q^{14} - 5160q^{15} + 1902q^{17} + 17016q^{18} - 2400q^{19} + 3456q^{20} - 6426q^{21} + 216q^{22} - 3306q^{23} + 960q^{24} - 18060q^{25} + 456q^{26} + 13017q^{27} + 6048q^{28} + 5988q^{29} - 6840q^{31} + 51867q^{33} - 10752q^{34} + 24408q^{35} - 5520q^{36} - 8556q^{37} + 2772q^{38} + 9912q^{39} - 40527q^{41} + 27432q^{42} + 3678q^{43} + 864q^{44} - 31770q^{45} - 15744q^{46} - 133740q^{47} - 7680q^{48} - 63777q^{49} - 107580q^{50} + 45657q^{51} + 5760q^{52} - 64626q^{53} + 1476q^{54} + 142056q^{55} + 10752q^{56} + 232824q^{57} + 117264q^{58} + 169041q^{59} - 56640q^{60} + 61698q^{61} - 101616q^{62} - 188064q^{63} - 61440q^{64} - 80646q^{65} - 173772q^{66} - 72129q^{67} - 65904q^{68} - 124224q^{69} + 97632q^{70} + 417828q^{71} + 44160q^{72} + 239082q^{73} - 116112q^{74} - 174960q^{75} + 6912q^{76} + 242436q^{77} + 336624q^{78} - 145740q^{79} + 14781q^{81} - 162108q^{82} - 201630q^{83} - 54528q^{84} - 46512q^{85} - 75720q^{86} - 376512q^{87} - 8064q^{88} + 416928q^{89} + 560640q^{90} - 380316q^{91} + 269376q^{92} - 205146q^{93} + 5616q^{94} + 708168q^{95} + 858363q^{97} + 308328q^{98} - 1068531q^{99} + O(q^{100})$$

## Character values

We give the values of $$\chi$$ on generators for $$\left(\mathbb{Z}/38\mathbb{Z}\right)^\times$$.

 $$n$$ $$21$$ $$\chi(n)$$ $$e\left(\frac{5}{9}\right)$$

## 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 Display $$a_n$$ with $$n$$ up to: 50 250 1000
$$n$$ $$a_n$$ $$a_n / n^{(k-1)/2}$$ $$\alpha_n$$ $$\theta_n$$
$$p$$ $$a_p$$ $$a_p / p^{(k-1)/2}$$ $$\alpha_p$$ $$\theta_p$$
$$2$$ 0.694593 3.93923i 0.122788 0.696364i
$$3$$ 19.8464 + 16.6531i 1.27315 + 1.06830i 0.994150 + 0.108004i $$0.0344460\pi$$
0.278996 + 0.960292i $$0.409998\pi$$
$$4$$ −15.0351 5.47232i −0.469846 0.171010i
$$5$$ 17.3464 6.31358i 0.310302 0.112941i −0.182175 0.983266i $$-0.558314\pi$$
0.492477 + 0.870325i $$0.336091\pi$$
$$6$$ 79.3855 66.6124i 0.900250 0.755400i
$$7$$ 61.0467 + 105.736i 0.470887 + 0.815601i 0.999446 0.0332962i $$-0.0106005\pi$$
−0.528558 + 0.848897i $$0.677267\pi$$
$$8$$ −32.0000 + 55.4256i −0.176777 + 0.306186i
$$9$$ 74.3569 + 421.699i 0.305996 + 1.73539i
$$10$$ −12.8220 72.7169i −0.0405466 0.229951i
$$11$$ 35.5887 61.6414i 0.0886809 0.153600i −0.818273 0.574830i $$-0.805068\pi$$
0.906954 + 0.421230i $$0.138402\pi$$
$$12$$ −207.261 358.986i −0.415494 0.719656i
$$13$$ 413.918 347.319i 0.679291 0.569993i −0.236508 0.971630i $$-0.576003\pi$$
0.915799 + 0.401637i $$0.131558\pi$$
$$14$$ 458.921 167.034i 0.625775 0.227763i
$$15$$ 449.405 + 163.570i 0.515714 + 0.187705i
$$16$$ 196.107 + 164.554i 0.191511 + 0.160697i
$$17$$ 38.4150 217.862i 0.0322388 0.182835i −0.964436 0.264316i $$-0.914854\pi$$
0.996675 + 0.0814808i $$0.0259649\pi$$
$$18$$ 1712.82 1.24603
$$19$$ 511.729 1488.03i 0.325204 0.945644i
$$20$$ −295.355 −0.165108
$$21$$ −549.275 + 3115.09i −0.271795 + 1.54143i
$$22$$ −218.100 183.008i −0.0960725 0.0806144i
$$23$$ −3869.48 1408.38i −1.52522 0.555136i −0.562776 0.826609i $$-0.690267\pi$$
−0.962446 + 0.271474i $$0.912489\pi$$
$$24$$ −1558.09 + 567.099i −0.552160 + 0.200970i
$$25$$ −2132.85 + 1789.68i −0.682513 + 0.572696i
$$26$$ −1080.66 1871.76i −0.313514 0.543022i
$$27$$ −2399.10 + 4155.37i −0.633344 + 1.09698i
$$28$$ −339.221 1923.82i −0.0817687 0.463734i
$$29$$ 964.187 + 5468.17i 0.212895 + 1.20739i 0.884522 + 0.466499i $$0.154485\pi$$
−0.671626 + 0.740890i $$0.734404\pi$$
$$30$$ 956.493 1656.69i 0.194034 0.336077i
$$31$$ −3775.51 6539.37i −0.705620 1.22217i −0.966467 0.256790i $$-0.917335\pi$$
0.260847 0.965380i $$-0.415998\pi$$
$$32$$ 784.430 658.215i 0.135419 0.113630i
$$33$$ 1732.83 630.697i 0.276994 0.100818i
$$34$$ −831.527 302.651i −0.123361 0.0448999i
$$35$$ 1726.52 + 1448.72i 0.238232 + 0.199900i
$$36$$ 1189.71 6747.19i 0.152998 0.867694i
$$37$$ 6113.82 0.734190 0.367095 0.930184i $$-0.380352\pi$$
0.367095 + 0.930184i $$0.380352\pi$$
$$38$$ −5506.25 3049.39i −0.618582 0.342574i
$$39$$ 13998.7 1.47376
$$40$$ −205.151 + 1163.47i −0.0202733 + 0.114976i
$$41$$ −15601.8 13091.5i −1.44949 1.21627i −0.932949 0.360009i $$-0.882774\pi$$
−0.516545 0.856260i $$-0.672782\pi$$
$$42$$ 11889.6 + 4327.44i 1.04002 + 0.378537i
$$43$$ −4795.60 + 1745.46i −0.395523 + 0.143959i −0.532122 0.846668i $$-0.678605\pi$$
0.136599 + 0.990626i $$0.456383\pi$$
$$44$$ −872.400 + 732.031i −0.0679335 + 0.0570030i
$$45$$ 3952.26 + 6845.51i 0.290947 + 0.503935i
$$46$$ −8235.63 + 14264.5i −0.573855 + 0.993946i
$$47$$ 912.747 + 5176.44i 0.0602706 + 0.341812i 1.00000 0.000107525i $$-3.42263e-5\pi$$
−0.939729 + 0.341919i $$0.888923\pi$$
$$48$$ 1151.70 + 6531.59i 0.0721497 + 0.409181i
$$49$$ 950.100 1645.62i 0.0565300 0.0979129i
$$50$$ 5568.48 + 9644.89i 0.315001 + 0.545597i
$$51$$ 4390.48 3684.05i 0.236367 0.198335i
$$52$$ −8123.93 + 2956.87i −0.416637 + 0.151643i
$$53$$ 3237.43 + 1178.33i 0.158311 + 0.0576205i 0.419960 0.907543i $$-0.362044\pi$$
−0.261649 + 0.965163i $$0.584266\pi$$
$$54$$ 14702.6 + 12336.9i 0.686133 + 0.575734i
$$55$$ 228.158 1293.95i 0.0101702 0.0576781i
$$56$$ −7813.98 −0.332968
$$57$$ 34936.3 21010.1i 1.42426 0.856529i
$$58$$ 22210.1 0.866924
$$59$$ 9086.66 51533.0i 0.339840 1.92733i −0.0330559 0.999454i $$-0.510524\pi$$
0.372896 0.927873i $$-0.378365\pi$$
$$60$$ −5861.73 4918.57i −0.210207 0.176385i
$$61$$ 41565.0 + 15128.4i 1.43022 + 0.520557i 0.936994 0.349344i $$-0.113596\pi$$
0.493225 + 0.869902i $$0.335818\pi$$
$$62$$ −28382.5 + 10330.4i −0.937717 + 0.341301i
$$63$$ −40049.5 + 33605.5i −1.27129 + 1.06674i
$$64$$ −2048.00 3547.24i −0.0625000 0.108253i
$$65$$ 4987.18 8638.04i 0.146410 0.253590i
$$66$$ −1280.85 7264.08i −0.0361943 0.205268i
$$67$$ 11301.7 + 64095.0i 0.307579 + 1.74436i 0.611112 + 0.791544i $$0.290722\pi$$
−0.303534 + 0.952821i $$0.598167\pi$$
$$68$$ −1769.79 + 3065.36i −0.0464139 + 0.0803913i
$$69$$ −53341.4 92390.0i −1.34878 2.33616i
$$70$$ 6906.06 5794.87i 0.168456 0.141351i
$$71$$ −37066.0 + 13490.9i −0.872631 + 0.317612i −0.739232 0.673451i $$-0.764811\pi$$
−0.133399 + 0.991062i $$0.542589\pi$$
$$72$$ −25752.4 9373.09i −0.585445 0.213084i
$$73$$ −5826.55 4889.06i −0.127969 0.107379i 0.576557 0.817057i $$-0.304396\pi$$
−0.704526 + 0.709678i $$0.748840\pi$$
$$74$$ 4246.61 24083.7i 0.0901495 0.511263i
$$75$$ −72133.0 −1.48075
$$76$$ −15836.9 + 19572.3i −0.314511 + 0.388694i
$$77$$ 8690.29 0.167035
$$78$$ 9723.40 55144.1i 0.180960 1.02627i
$$79$$ 31918.9 + 26783.2i 0.575414 + 0.482830i 0.883438 0.468549i $$-0.155223\pi$$
−0.308023 + 0.951379i $$0.599667\pi$$
$$80$$ 4440.68 + 1616.28i 0.0775756 + 0.0282352i
$$81$$ −19034.8 + 6928.10i −0.322356 + 0.117328i
$$82$$ −62407.4 + 52366.0i −1.02495 + 0.860032i
$$83$$ 17876.7 + 30963.4i 0.284835 + 0.493348i 0.972569 0.232614i $$-0.0747279\pi$$
−0.687734 + 0.725962i $$0.741395\pi$$
$$84$$ 25305.2 43829.9i 0.391301 0.677754i
$$85$$ −709.129 4021.67i −0.0106458 0.0603753i
$$86$$ 3544.76 + 20103.4i 0.0516822 + 0.293104i
$$87$$ −71926.4 + 124580.i −1.01880 + 1.76462i
$$88$$ 2277.68 + 3945.05i 0.0313534 + 0.0543058i
$$89$$ 68243.2 57262.9i 0.913239 0.766299i −0.0594932 0.998229i $$-0.518948\pi$$
0.972732 + 0.231930i $$0.0745040\pi$$
$$90$$ 29711.3 10814.0i 0.386647 0.140728i
$$91$$ 61992.4 + 22563.4i 0.784757 + 0.285628i
$$92$$ 50470.9 + 42350.1i 0.621686 + 0.521657i
$$93$$ 33970.6 192657.i 0.407282 2.30981i
$$94$$ 21025.2 0.245426
$$95$$ −518.135 29042.8i −0.00589025 0.330164i
$$96$$ 26529.4 0.293798
$$97$$ −2906.75 + 16485.0i −0.0313674 + 0.177893i −0.996466 0.0839919i $$-0.973233\pi$$
0.965099 + 0.261885i $$0.0843441\pi$$
$$98$$ −5822.55 4885.70i −0.0612418 0.0513880i
$$99$$ 28640.4 + 10424.3i 0.293691 + 0.106895i
$$100$$ 41861.3 15236.3i 0.418613 0.152363i
$$101$$ −67128.7 + 56327.7i −0.654794 + 0.549438i −0.908521 0.417838i $$-0.862788\pi$$
0.253727 + 0.967276i $$0.418343\pi$$
$$102$$ −11462.7 19854.0i −0.109091 0.188951i
$$103$$ −75098.4 + 130074.i −0.697489 + 1.20809i 0.271845 + 0.962341i $$0.412366\pi$$
−0.969334 + 0.245745i $$0.920967\pi$$
$$104$$ 6004.97 + 34055.9i 0.0544412 + 0.308751i
$$105$$ 10139.4 + 57503.6i 0.0897513 + 0.509005i
$$106$$ 6890.41 11934.5i 0.0595635 0.103167i
$$107$$ −27285.2 47259.3i −0.230392 0.399051i 0.727531 0.686074i $$-0.240668\pi$$
−0.957924 + 0.287023i $$0.907334\pi$$
$$108$$ 58810.2 49347.6i 0.485170 0.407106i
$$109$$ 4523.12 1646.28i 0.0364646 0.0132720i −0.323723 0.946152i $$-0.604935\pi$$
0.360188 + 0.932880i $$0.382713\pi$$
$$110$$ −4938.69 1797.54i −0.0389162 0.0141643i
$$111$$ 121337. + 101814.i 0.934731 + 0.784332i
$$112$$ −5427.53 + 30781.1i −0.0408844 + 0.231867i
$$113$$ 116554. 0.858676 0.429338 0.903144i $$-0.358747\pi$$
0.429338 + 0.903144i $$0.358747\pi$$
$$114$$ −58497.3 152216.i −0.421574 1.09698i
$$115$$ −76013.6 −0.535977
$$116$$ 15427.0 87490.8i 0.106448 0.603695i
$$117$$ 177242. + 148723.i 1.19702 + 1.00442i
$$118$$ −196689. 71588.9i −1.30039 0.473304i
$$119$$ 25381.0 9237.93i 0.164301 0.0598008i
$$120$$ −23446.9 + 19674.3i −0.148639 + 0.124723i
$$121$$ 77992.4 + 135087.i 0.484271 + 0.838783i
$$122$$ 88465.0 153226.i 0.538111 0.932036i
$$123$$ −91626.2 519638.i −0.546081 3.09698i
$$124$$ 20979.5 + 118981.i 0.122530 + 0.694900i
$$125$$ −54541.3 + 94468.4i −0.312213 + 0.540769i
$$126$$ 104562. + 181107.i 0.586742 + 1.01627i
$$127$$ −187992. + 157744.i −1.03426 + 0.867849i −0.991352 0.131230i $$-0.958107\pi$$
−0.0429099 + 0.999079i $$0.513663\pi$$
$$128$$ −15395.9 + 5603.66i −0.0830579 + 0.0302306i
$$129$$ −124243. 45220.6i −0.657349 0.239256i
$$130$$ −30563.2 25645.6i −0.158614 0.133093i
$$131$$ 19656.2 111476.i 0.100074 0.567549i −0.893000 0.450057i $$-0.851404\pi$$
0.993074 0.117492i $$-0.0374854\pi$$
$$132$$ −29504.6 −0.147385
$$133$$ 188578. 36731.2i 0.924403 0.180055i
$$134$$ 260335. 1.25248
$$135$$ −15380.6 + 87227.7i −0.0726338 + 0.411927i
$$136$$ 10845.9 + 9100.77i 0.0502826 + 0.0421921i
$$137$$ −185257. 67428.0i −0.843282 0.306930i −0.115984 0.993251i $$-0.537002\pi$$
−0.727298 + 0.686321i $$0.759224\pi$$
$$138$$ −400996. + 145951.i −1.79243 + 0.652392i
$$139$$ 134772. 113087.i 0.591646 0.496450i −0.297102 0.954846i $$-0.596020\pi$$
0.888748 + 0.458396i $$0.151576\pi$$
$$140$$ −18030.4 31229.6i −0.0777475 0.134663i
$$141$$ −68089.1 + 117934.i −0.288423 + 0.499563i
$$142$$ 27398.1 + 155382.i 0.114025 + 0.646668i
$$143$$ −6678.40 37875.1i −0.0273107 0.154887i
$$144$$ −54810.2 + 94934.0i −0.220270 + 0.381519i
$$145$$ 51249.0 + 88765.8i 0.202425 + 0.350611i
$$146$$ −23306.2 + 19556.2i −0.0904877 + 0.0759282i
$$147$$ 46260.8 16837.5i 0.176571 0.0642666i
$$148$$ −91921.8 33456.8i −0.344956 0.125554i
$$149$$ −350674. 294250.i −1.29401 1.08580i −0.991147 0.132770i $$-0.957613\pi$$
−0.302864 0.953034i $$-0.597943\pi$$
$$150$$ −50103.1 + 284149.i −0.181818 + 1.03114i
$$151$$ −309788. −1.10566 −0.552830 0.833294i $$-0.686452\pi$$
−0.552830 + 0.833294i $$0.686452\pi$$
$$152$$ 66099.7 + 75979.8i 0.232055 + 0.266741i
$$153$$ 94728.8 0.327155
$$154$$ 6036.21 34233.0i 0.0205099 0.116317i
$$155$$ −106778. 89597.7i −0.356988 0.299549i
$$156$$ −210472. 76605.4i −0.692440 0.252028i
$$157$$ −66793.7 + 24310.9i −0.216265 + 0.0787140i −0.447881 0.894093i $$-0.647821\pi$$
0.231616 + 0.972807i $$0.425599\pi$$
$$158$$ 127676. 107133.i 0.406879 0.341412i
$$159$$ 44628.5 + 77298.8i 0.139997 + 0.242482i
$$160$$ 9451.36 16370.2i 0.0291873 0.0505539i
$$161$$ −87303.0 495120.i −0.265439 1.50538i
$$162$$ 14070.0 + 79794.7i 0.0421216 + 0.238884i
$$163$$ 163420. 283051.i 0.481765 0.834441i −0.518016 0.855371i $$-0.673329\pi$$
0.999781 + 0.0209297i $$0.00666261\pi$$
$$164$$ 162934. + 282210.i 0.473045 + 0.819338i
$$165$$ 26076.4 21880.7i 0.0745655 0.0625678i
$$166$$ 134389. 48913.6i 0.378524 0.137772i
$$167$$ 213341. + 77649.7i 0.591947 + 0.215451i 0.620585 0.784139i $$-0.286895\pi$$
−0.0286387 + 0.999590i $$0.509117\pi$$
$$168$$ −155079. 130127.i −0.423917 0.355708i
$$169$$ −13776.3 + 78129.4i −0.0371036 + 0.210425i
$$170$$ −16334.8 −0.0433503
$$171$$ 665551. + 105150.i 1.74057 + 0.274992i
$$172$$ 81653.9 0.210453
$$173$$ −61011.4 + 346013.i −0.154987 + 0.878976i 0.803810 + 0.594886i $$0.202803\pi$$
−0.958797 + 0.284090i $$0.908308\pi$$
$$174$$ 440791. + 369867.i 1.10372 + 0.926132i
$$175$$ −319437. 116265.i −0.788478 0.286983i
$$176$$ 17122.5 6232.09i 0.0416664 0.0151653i
$$177$$ 1.03852e6 871423.i 2.49162 2.09072i
$$178$$ −178170. 308600.i −0.421488 0.730039i
$$179$$ −98068.8 + 169860.i −0.228770 + 0.396241i −0.957444 0.288620i $$-0.906804\pi$$
0.728674 + 0.684861i $$0.240137\pi$$
$$180$$ −21961.7 124551.i −0.0505224 0.286527i
$$181$$ 54825.1 + 310928.i 0.124389 + 0.705446i 0.981669 + 0.190595i $$0.0610417\pi$$
−0.857280 + 0.514851i $$0.827847\pi$$
$$182$$ 131942. 228530.i 0.295260 0.511405i
$$183$$ 572979. + 992429.i 1.26477 + 2.19064i
$$184$$ 201884. 169400.i 0.439599 0.368867i
$$185$$ 106053. 38600.1i 0.227821 0.0829200i
$$186$$ −735323. 267636.i −1.55846 0.567233i
$$187$$ −12062.2 10121.4i −0.0252245 0.0211659i
$$188$$ 14603.9 82823.1i 0.0301353 0.170906i
$$189$$ −585829. −1.19293
$$190$$ −114766. 18131.9i −0.230638 0.0364384i
$$191$$ −489237. −0.970367 −0.485184 0.874412i $$-0.661247\pi$$
−0.485184 + 0.874412i $$0.661247\pi$$
$$192$$ 18427.1 104505.i 0.0360749 0.204591i
$$193$$ 249223. + 209123.i 0.481610 + 0.404119i 0.851008 0.525153i $$-0.175992\pi$$
−0.369398 + 0.929271i $$0.620436\pi$$
$$194$$ 62919.2 + 22900.7i 0.120027 + 0.0436862i
$$195$$ 242828. 88382.0i 0.457311 0.166447i
$$196$$ −23290.2 + 19542.8i −0.0433045 + 0.0363368i
$$197$$ 398525. + 690265.i 0.731627 + 1.26722i 0.956187 + 0.292755i $$0.0945722\pi$$
−0.224560 + 0.974460i $$0.572094\pi$$
$$198$$ 60956.9 105581.i 0.110499 0.191391i
$$199$$ 5622.94 + 31889.3i 0.0100654 + 0.0570837i 0.989427 0.145033i $$-0.0463290\pi$$
−0.979361 + 0.202117i $$0.935218\pi$$
$$200$$ −30942.6 175484.i −0.0546993 0.310215i
$$201$$ −843083. + 1.46026e6i −1.47191 + 2.54942i
$$202$$ 175261. + 303560.i 0.302208 + 0.523439i
$$203$$ −519322. + 435763.i −0.884498 + 0.742182i
$$204$$ −86171.6 + 31363.9i −0.144973 + 0.0527660i
$$205$$ −353290. 128587.i −0.587148 0.213704i
$$206$$ 460229. + 386178.i 0.755625 + 0.634045i
$$207$$ 306188. 1.73648e6i 0.496664 2.81672i
$$208$$ 138325. 0.221688
$$209$$ −73512.5 84500.7i −0.116411 0.133812i
$$210$$ 233563. 0.365473
$$211$$ −89703.2 + 508732.i −0.138708 + 0.786653i 0.833497 + 0.552524i $$0.186335\pi$$
−0.972205 + 0.234129i $$0.924776\pi$$
$$212$$ −42226.9 35432.5i −0.0645281 0.0541455i
$$213$$ −960293. 349518.i −1.45029 0.527862i
$$214$$ −205118. + 74656.7i −0.306174 + 0.111438i
$$215$$ −72166.4 + 60554.8i −0.106473 + 0.0893414i
$$216$$ −153543. 265944.i −0.223921 0.387842i
$$217$$ 460964. 798414.i 0.664535 1.15101i
$$218$$ −3343.35 18961.1i −0.00476476 0.0270223i
$$219$$ −34218.1 194060.i −0.0482109 0.273418i
$$220$$ −10511.3 + 18206.1i −0.0146420 + 0.0253606i
$$221$$ −59767.0 103519.i −0.0823153 0.142574i
$$222$$ 485349. 407256.i 0.660954 0.554607i
$$223$$ 1.22826e6 447049.i 1.65397 0.601995i 0.664570 0.747226i $$-0.268615\pi$$
0.989398 + 0.145230i $$0.0463924\pi$$
$$224$$ 117484. + 42760.6i 0.156444 + 0.0569408i
$$225$$ −913297. 766347.i −1.20270 1.00918i
$$226$$ 80957.3 459131.i 0.105435 0.597951i
$$227$$ −1.11112e6 −1.43119 −0.715593 0.698517i $$-0.753844\pi$$
−0.715593 + 0.698517i $$0.753844\pi$$
$$228$$ −640244. + 124707.i −0.815658 + 0.158874i
$$229$$ −824.381 −0.00103882 −0.000519409 1.00000i $$-0.500165\pi$$
−0.000519409 1.00000i $$0.500165\pi$$
$$230$$ −52798.5 + 299435.i −0.0658115 + 0.373236i
$$231$$ 172471. + 144720.i 0.212660 + 0.178443i
$$232$$ −333931. 121541.i −0.407321 0.148253i
$$233$$ −165895. + 60381.0i −0.200191 + 0.0728636i −0.440170 0.897915i $$-0.645082\pi$$
0.239979 + 0.970778i $$0.422860\pi$$
$$234$$ 708966. 594893.i 0.846420 0.710231i
$$235$$ 48514.8 + 84030.1i 0.0573066 + 0.0992579i
$$236$$ −418624. + 725078.i −0.489265 + 0.847431i
$$237$$ 187453. + 1.06310e6i 0.216781 + 1.22943i
$$238$$ −18760.9 106398.i −0.0214689 0.121756i
$$239$$ −311931. + 540280.i −0.353235 + 0.611820i −0.986814 0.161857i $$-0.948252\pi$$
0.633580 + 0.773678i $$0.281585\pi$$
$$240$$ 61215.5 + 106028.i 0.0686015 + 0.118821i
$$241$$ 532670. 446963.i 0.590766 0.495712i −0.297696 0.954661i $$-0.596218\pi$$
0.888463 + 0.458949i $$0.151774\pi$$
$$242$$ 586311. 213400.i 0.643561 0.234237i
$$243$$ 602502. + 219293.i 0.654550 + 0.238237i
$$244$$ −542145. 454914.i −0.582963 0.489164i
$$245$$ 6091.07 34544.2i 0.00648304 0.0367671i
$$246$$ −2.11062e6 −2.22368
$$247$$ −305007. 793655.i −0.318102 0.827732i
$$248$$ 483265. 0.498949
$$249$$ −160848. + 912215.i −0.164406 + 0.932392i
$$250$$ 334249. + 280468.i 0.338236 + 0.283814i
$$251$$ −99497.1 36214.0i −0.0996842 0.0362821i 0.291697 0.956511i $$-0.405780\pi$$
−0.391381 + 0.920229i $$0.628002\pi$$
$$252$$ 786048. 286098.i 0.779737 0.283801i
$$253$$ −224524. + 188398.i −0.220527 + 0.185044i
$$254$$ 490813. + 850113.i 0.477344 + 0.826784i
$$255$$ 52899.6 91624.8i 0.0509450 0.0882394i
$$256$$ 11380.2 + 64540.4i 0.0108530 + 0.0615505i
$$257$$ 40910.0 + 232012.i 0.0386364 + 0.219118i 0.998013 0.0630112i $$-0.0200704\pi$$
−0.959376 + 0.282129i $$0.908959\pi$$
$$258$$ −264432. + 458010.i −0.247323 + 0.428377i
$$259$$ 373228. + 646451.i 0.345721 + 0.598806i
$$260$$ −122253. + 102582.i −0.112157 + 0.0941106i
$$261$$ −2.23423e6 + 813193.i −2.03014 + 0.738912i
$$262$$ −425477. 154861.i −0.382933 0.139376i
$$263$$ −134692. 113020.i −0.120075 0.100755i 0.580773 0.814066i $$-0.302750\pi$$
−0.700848 + 0.713311i $$0.747195\pi$$
$$264$$ −20493.7 + 116225.i −0.0180971 + 0.102634i
$$265$$ 63597.4 0.0556320
$$266$$ −13707.9 768364.i −0.0118786 0.665829i
$$267$$ 2.30799e6 1.98132
$$268$$ 180827. 1.02552e6i 0.153789 0.872182i
$$269$$ 162670. + 136496.i 0.137065 + 0.115011i 0.708743 0.705467i $$-0.249263\pi$$
−0.571678 + 0.820478i $$0.693707\pi$$
$$270$$ 332927. + 121176.i 0.277933 + 0.101159i
$$271$$ −368035. + 133954.i −0.304415 + 0.110798i −0.489711 0.871885i $$-0.662898\pi$$
0.185296 + 0.982683i $$0.440676\pi$$
$$272$$ 43383.5 36403.1i 0.0355551 0.0298343i
$$273$$ 854575. + 1.48017e6i 0.693974 + 1.20200i
$$274$$ −394293. + 682935.i −0.317280 + 0.549544i
$$275$$ 34412.7 + 195164.i 0.0274402 + 0.155621i
$$276$$ 296404. + 1.68099e6i 0.234213 + 1.32829i
$$277$$ 1.02276e6 1.77147e6i 0.800894 1.38719i −0.118135 0.992998i $$-0.537691\pi$$
0.919029 0.394191i $$-0.128975\pi$$
$$278$$ −351864. 609447.i −0.273063 0.472959i
$$279$$ 2.47691e6 2.07837e6i 1.90502 1.59850i
$$280$$ −135545. + 49334.2i −0.103321 + 0.0376056i
$$281$$ 1.52443e6 + 554848.i 1.15171 + 0.419187i 0.846128 0.532980i $$-0.178928\pi$$
0.305579 + 0.952167i $$0.401150\pi$$
$$282$$ 417274. + 350134.i 0.312463 + 0.262188i
$$283$$ 305963. 1.73520e6i 0.227093 1.28791i −0.631551 0.775334i $$-0.717582\pi$$
0.858644 0.512572i $$-0.171307\pi$$
$$284$$ 631118. 0.464317
$$285$$ 473370. 585024.i 0.345214 0.426640i
$$286$$ −153838. −0.111211
$$287$$ 431802. 2.44887e6i 0.309442 1.75493i
$$288$$ 335896. + 281850.i 0.238629 + 0.200234i
$$289$$ 1.28824e6 + 468881.i 0.907303 + 0.330231i
$$290$$ 385266. 140225.i 0.269008 0.0979111i
$$291$$ −332214. + 278761.i −0.229978 + 0.192974i
$$292$$ 60848.2 + 105392.i 0.0417629 + 0.0723355i
$$293$$ −674846. + 1.16887e6i −0.459236 + 0.795420i −0.998921 0.0464475i $$-0.985210\pi$$
0.539685 + 0.841867i $$0.318543\pi$$
$$294$$ −34194.6 193927.i −0.0230722 0.130849i
$$295$$ −167737. 951283.i −0.112221 0.636436i
$$296$$ −195642. + 338862.i −0.129788 + 0.224799i
$$297$$ 170762. + 295768.i 0.112331 + 0.194563i
$$298$$ −1.40270e6 + 1.17700e6i −0.915004 + 0.767779i
$$299$$ −2.09080e6 + 760990.i −1.35249 + 0.492267i
$$300$$ 1.08453e6 + 394735.i 0.695724 + 0.253223i
$$301$$ −477313. 400513.i −0.303660 0.254801i
$$302$$ −215176. + 1.22033e6i −0.135762 + 0.769942i
$$303$$ −2.27029e6 −1.42061
$$304$$ 345214. 207607.i 0.214242 0.128842i
$$305$$ 816518. 0.502593
$$306$$ 65797.9 373159.i 0.0401706 0.227819i
$$307$$ −1.50066e6 1.25920e6i −0.908733 0.762518i 0.0631442 0.998004i $$-0.479887\pi$$
−0.971878 + 0.235487i $$0.924332\pi$$
$$308$$ −130659. 47556.1i −0.0784808 0.0285647i
$$309$$ −3.65657e6 + 1.33088e6i −2.17860 + 0.792946i
$$310$$ −427113. + 358391.i −0.252429 + 0.211813i
$$311$$ −379668. 657604.i −0.222588 0.385535i 0.733005 0.680224i $$-0.238117\pi$$
−0.955593 + 0.294689i $$0.904784\pi$$
$$312$$ −447959. + 775887.i −0.260526 + 0.451245i
$$313$$ −248985. 1.41206e6i −0.143652 0.814692i −0.968439 0.249249i $$-0.919816\pi$$
0.824787 0.565443i $$-0.191295\pi$$
$$314$$ 49371.9 + 280002.i 0.0282589 + 0.160264i
$$315$$ −482545. + 835792.i −0.274007 + 0.474594i
$$316$$ −333338. 577358.i −0.187787 0.325257i
$$317$$ 1.98899e6 1.66896e6i 1.11169 0.932820i 0.113536 0.993534i $$-0.463782\pi$$
0.998155 + 0.0607137i $$0.0193377\pi$$
$$318$$ 335497. 122111.i 0.186046 0.0677152i
$$319$$ 371380. + 135171.i 0.204335 + 0.0743717i
$$320$$ −57921.3 48601.7i −0.0316201 0.0265324i
$$321$$ 245502. 1.39231e6i 0.132982 0.754177i
$$322$$ −2.01103e6 −1.08088
$$323$$ −304528. 168649.i −0.162413 0.0899451i
$$324$$ 324102. 0.171522
$$325$$ −261239. + 1.48156e6i −0.137192 + 0.778055i
$$326$$ −1.00149e6 840353.i −0.521920 0.437943i
$$327$$ 117183. + 42651.2i 0.0606033 + 0.0220578i
$$328$$ 1.22486e6 445814.i 0.628642 0.228807i
$$329$$ −491616. + 412515.i −0.250401 + 0.210112i
$$330$$ −68080.6 117919.i −0.0344143 0.0596073i
$$331$$ −1.38578e6 + 2.40024e6i −0.695222 + 1.20416i 0.274884 + 0.961478i $$0.411361\pi$$
−0.970106 + 0.242683i $$0.921973\pi$$
$$332$$ −99336.4 563365.i −0.0494610 0.280507i
$$333$$ 454605. + 2.57819e6i 0.224659 + 1.27410i
$$334$$ 454065. 786464.i 0.222716 0.385756i
$$335$$ 600713. + 1.04047e6i 0.292452 + 0.506542i
$$336$$ −620317. + 520508.i −0.299754 + 0.251524i
$$337$$ −412446. + 150118.i −0.197830 + 0.0720043i −0.439035 0.898470i $$-0.644680\pi$$
0.241205 + 0.970474i $$0.422457\pi$$
$$338$$ 298201. + 108536.i 0.141977 + 0.0516753i
$$339$$ 2.31317e6 + 1.94098e6i 1.09322 + 0.917321i
$$340$$ −11346.1 + 64346.7i −0.00532289 + 0.0301876i
$$341$$ −537461. −0.250300
$$342$$ 876498. 2.54872e6i 0.405215 1.17830i
$$343$$ 2.28403e6 1.04825
$$344$$ 56716.2 321654.i 0.0258411 0.146552i
$$345$$ −1.50859e6 1.26586e6i −0.682378 0.572583i
$$346$$ 1.32065e6 + 480676.i 0.593057 + 0.215855i
$$347$$ −1.25630e6 + 457257.i −0.560107 + 0.203862i −0.606531 0.795060i $$-0.707439\pi$$
0.0464246 + 0.998922i $$0.485217\pi$$
$$348$$ 1.76316e6 1.47947e6i 0.780448 0.654874i
$$349$$ −810674. 1.40413e6i −0.356273 0.617083i 0.631062 0.775732i $$-0.282619\pi$$
−0.987335 + 0.158650i $$0.949286\pi$$
$$350$$ −679875. + 1.17758e6i −0.296660 + 0.513830i
$$351$$ 450204. + 2.55324e6i 0.195048 + 1.10617i
$$352$$ −12656.5 71778.3i −0.00544447 0.0308771i
$$353$$ 1.10929e6 1.92134e6i 0.473813 0.820669i −0.525737 0.850647i $$-0.676210\pi$$
0.999551 + 0.0299782i $$0.00954377\pi$$
$$354$$ −2.71139e6 4.69626e6i −1.14996 1.99179i
$$355$$ −557787. + 468039.i −0.234908 + 0.197111i
$$356$$ −1.33940e6 + 487503.i −0.560127 + 0.203870i
$$357$$ 657561. + 239333.i 0.273065 + 0.0993874i
$$358$$ 601001. + 504299.i 0.247838 + 0.207961i
$$359$$ 208961. 1.18507e6i 0.0855713 0.485299i −0.911661 0.410944i $$-0.865199\pi$$
0.997232 0.0743548i $$-0.0236897\pi$$
$$360$$ −505889. −0.205731
$$361$$ −1.95237e6 1.52294e6i −0.788485 0.615054i
$$362$$ 1.26290e6 0.506521
$$363$$ −701746. + 3.97980e6i −0.279520 + 1.58524i
$$364$$ −808587. 678485.i −0.319870 0.268403i
$$365$$ −131937. 48021.3i −0.0518365 0.0188669i
$$366$$ 4.30740e6 1.56776e6i 1.68078 0.611756i
$$367$$ −3.51529e6 + 2.94968e6i −1.36237 + 1.14317i −0.387132 + 0.922024i $$0.626534\pi$$
−0.975241 + 0.221143i $$0.929021\pi$$
$$368$$ −527080. 912930.i −0.202888 0.351413i
$$369$$ 4.36057e6 7.55273e6i 1.66716 2.88761i
$$370$$ −78391.1 444578.i −0.0297689 0.168828i
$$371$$ 73042.8 + 414246.i 0.0275513 + 0.156251i
$$372$$ −1.56503e6 + 2.71071e6i −0.586361 + 1.01561i
$$373$$ 2.44484e6 + 4.23460e6i 0.909870 + 1.57594i 0.814244 + 0.580523i $$0.197152\pi$$
0.0956262 + 0.995417i $$0.469515\pi$$
$$374$$ −48248.8 + 40485.6i −0.0178364 + 0.0149665i
$$375$$ −2.65564e6 + 966574.i −0.975194 + 0.354941i
$$376$$ −316115. 115057.i −0.115312 0.0419703i
$$377$$ 2.29829e6 + 1.92850e6i 0.832822 + 0.698820i
$$378$$ −406913. + 2.30772e6i −0.146478 + 0.830717i
$$379$$ 4.54801e6 1.62639 0.813193 0.581995i $$-0.197728\pi$$
0.813193 + 0.581995i $$0.197728\pi$$
$$380$$ −151142. + 439497.i −0.0536939 + 0.156134i
$$381$$ −6.35789e6 −2.24389
$$382$$ −339821. + 1.92722e6i −0.119149 + 0.675729i
$$383$$ 1.11378e6 + 934574.i 0.387975 + 0.325549i 0.815824 0.578301i $$-0.196284\pi$$
−0.427849 + 0.903850i $$0.640728\pi$$
$$384$$ −398872. 145177.i −0.138040 0.0502425i
$$385$$ 150745. 54866.8i 0.0518313 0.0188651i
$$386$$ 996893. 836493.i 0.340550 0.285755i
$$387$$ −1.09264e6 1.89251e6i −0.370852 0.642335i
$$388$$ 133914. 231946.i 0.0451594 0.0782183i
$$389$$ −253833. 1.43956e6i −0.0850498 0.482341i −0.997346 0.0728100i $$-0.976803\pi$$
0.912296 0.409531i $$-0.134308\pi$$
$$390$$ −179491. 1.01794e6i −0.0597559 0.338893i
$$391$$ −455478. + 788911.i −0.150670 + 0.260967i
$$392$$ 60806.4 + 105320.i 0.0199864 + 0.0346174i
$$393$$ 2.24653e6 1.88506e6i 0.733720 0.615664i
$$394$$ 2.99593e6 1.09043e6i 0.972279 0.353880i
$$395$$ 722777. + 263069.i 0.233084 + 0.0848355i
$$396$$ −373566. 313459.i −0.119710 0.100448i
$$397$$ 275501. 1.56244e6i 0.0877296 0.497539i −0.909005 0.416786i $$-0.863156\pi$$
0.996734 0.0807531i $$-0.0257325\pi$$
$$398$$ 129525. 0.0409870
$$399$$ 4.35427e6 + 2.41142e6i 1.36925 + 0.758299i
$$400$$ −712765. −0.222739
$$401$$ 658286. 3.73333e6i 0.204434 1.15940i −0.693893 0.720078i $$-0.744106\pi$$
0.898328 0.439326i $$-0.144783\pi$$
$$402$$ 5.16671e6 + 4.33539e6i 1.59459 + 1.33802i
$$403$$ −3.83399e6 1.39546e6i −1.17595 0.428011i
$$404$$ 1.31753e6 479541.i 0.401612 0.146175i
$$405$$ −286445. + 240355.i −0.0867767 + 0.0728143i
$$406$$ 1.35585e6 + 2.34841e6i 0.408224 + 0.707064i
$$407$$ 217583. 376864.i 0.0651086 0.112771i
$$408$$ 63695.4 + 361235.i 0.0189434 + 0.107433i
$$409$$ 472218. + 2.67808e6i 0.139584 + 0.791618i 0.971558 + 0.236804i $$0.0760998\pi$$
−0.831974 + 0.554815i $$0.812789\pi$$
$$410$$ −751928. + 1.30238e6i −0.220911 + 0.382628i
$$411$$ −2.55380e6 4.42330e6i −0.745730 1.29164i
$$412$$ 1.84092e6 1.54471e6i 0.534308 0.448337i
$$413$$ 6.00360e6 2.18513e6i 1.73196 0.630380i
$$414$$ −6.62772e6 2.41229e6i −1.90048 0.691718i
$$415$$ 505587. + 424238.i 0.144104 + 0.120918i
$$416$$ 96079.5 544894.i 0.0272206 0.154376i
$$417$$ 4.55798e6 1.28361
$$418$$ −383929. + 230889.i −0.107476 + 0.0646343i
$$419$$ −1.05626e6 −0.293924 −0.146962 0.989142i $$-0.546950\pi$$
−0.146962 + 0.989142i $$0.546950\pi$$
$$420$$ 162231. 920058.i 0.0448757 0.254502i
$$421$$ −403044. 338194.i −0.110827 0.0929952i 0.585690 0.810535i $$-0.300824\pi$$
−0.696517 + 0.717540i $$0.745268\pi$$
$$422$$ 1.94171e6 + 706724.i 0.530765 + 0.193183i
$$423$$ −2.11503e6 + 769809.i −0.574733 + 0.209186i
$$424$$ −168907. + 141730.i −0.0456283 + 0.0382867i
$$425$$ 307969. + 533418.i 0.0827056 + 0.143250i
$$426$$ −2.04384e6 + 3.54004e6i −0.545662 + 0.945115i
$$427$$ 937787. + 5.31845e6i 0.248905 + 1.41161i
$$428$$ 151617. + 859862.i 0.0400072 + 0.226892i
$$429$$ 498196. 862900.i 0.130694 0.226369i
$$430$$ 188413. + 326341.i 0.0491406 + 0.0851140i
$$431$$ −5.01615e6 + 4.20905e6i −1.30070 + 1.09142i −0.310679 + 0.950515i $$0.600556\pi$$
−0.990023 + 0.140903i $$0.954999\pi$$
$$432$$ −1.15426e6 + 420117.i −0.297574 + 0.108308i
$$433$$ −57366.6 20879.7i −0.0147041 0.00535186i 0.334658 0.942340i $$-0.391379\pi$$
−0.349362 + 0.936988i $$0.613602\pi$$
$$434$$ −2.82495e6 2.37042e6i −0.719924 0.604088i
$$435$$ −461119. + 2.61513e6i −0.116839 + 0.662630i
$$436$$ −77014.5 −0.0194024
$$437$$ −4.07583e6 + 5.03720e6i −1.02097 + 1.26178i
$$438$$ −788216. −0.196318
$$439$$ 653232. 3.70466e6i 0.161773 0.917461i −0.790556 0.612389i $$-0.790209\pi$$
0.952329 0.305071i $$-0.0986804\pi$$
$$440$$ 64416.9 + 54052.2i 0.0158624 + 0.0133101i
$$441$$ 764604. + 278293.i 0.187215 + 0.0681406i
$$442$$ −449301. + 163532.i −0.109391 + 0.0398150i
$$443$$ −847988. + 711547.i −0.205296 + 0.172264i −0.739639 0.673004i $$-0.765004\pi$$
0.534343 + 0.845268i $$0.320559\pi$$
$$444$$ −1.26716e6 2.19478e6i −0.305051 0.528364i
$$445$$ 822242. 1.42417e6i 0.196834 0.340926i
$$446$$ −907891. 5.14891e6i −0.216121 1.22568i
$$447$$ −2.05943e6 1.16796e7i −0.487504 2.76477i
$$448$$ 250047. 433095.i 0.0588609 0.101950i
$$449$$ 1.97940e6 + 3.42842e6i 0.463358 + 0.802560i 0.999126 0.0418055i $$-0.0133110\pi$$
−0.535767 + 0.844366i $$0.679978\pi$$
$$450$$ −3.65319e6 + 3.06539e6i −0.850434 + 0.713599i
$$451$$ −1.36223e6 + 495810.i −0.315361 + 0.114782i
$$452$$ −1.75239e6 637819.i −0.403446 0.146842i
$$453$$ −6.14816e6 5.15892e6i −1.40767 1.18117i
$$454$$ −771776. + 4.37696e6i −0.175732 + 0.996627i
$$455$$ 1.21780e6 0.275771
$$456$$ 46540.0 + 2.60869e6i 0.0104813 + 0.587503i
$$457$$ −4.54409e6 −1.01779 −0.508893 0.860830i $$-0.669945\pi$$
−0.508893 + 0.860830i $$0.669945\pi$$
$$458$$ −572.609 + 3247.43i −0.000127554 + 0.000723395i
$$459$$ 813137. + 682303.i 0.180149 + 0.151163i
$$460$$ 1.14287e6 + 415971.i 0.251827 + 0.0916575i
$$461$$ 713109. 259550.i 0.156280 0.0568813i −0.262696 0.964879i $$-0.584611\pi$$
0.418976 + 0.907997i $$0.362389\pi$$
$$462$$ 689883. 578881.i 0.150373 0.126178i
$$463$$ 1.28722e6 + 2.22952e6i 0.279061 + 0.483348i 0.971152 0.238463i $$-0.0766435\pi$$
−0.692091 + 0.721811i $$0.743310\pi$$
$$464$$ −710724. + 1.23101e6i −0.153252 + 0.265440i
$$465$$ −627086. 3.55638e6i −0.134491 0.762739i
$$466$$ 122625. + 695441.i 0.0261586 + 0.148353i
$$467$$ 4.03364e6 6.98646e6i 0.855864 1.48240i −0.0199777 0.999800i $$-0.506360\pi$$
0.875841 0.482599i $$-0.160307\pi$$
$$468$$ −1.85098e6 3.20599e6i −0.390649 0.676624i
$$469$$ −6.08722e6 + 5.10778e6i −1.27787 + 1.07226i
$$470$$ 364712. 132744.i 0.0761562 0.0277186i
$$471$$ −1.73046e6 629838.i −0.359427 0.130821i
$$472$$ 2.56548e6 + 2.15269e6i 0.530045 + 0.444761i
$$473$$ −63076.7 + 357726.i −0.0129633 + 0.0735187i
$$474$$ 4.31799e6 0.882746
$$475$$ 1.57165e6 + 4.08958e6i 0.319611 + 0.831657i
$$476$$ −432158. −0.0874230
$$477$$ −256175. + 1.45284e6i −0.0515514 + 0.292362i
$$478$$ 1.91162e6 + 1.60404e6i 0.382677 + 0.321104i
$$479$$ −1.25242e6 455845.i −0.249409 0.0907775i 0.214291 0.976770i $$-0.431256\pi$$
−0.463700 + 0.885993i $$0.653478\pi$$
$$480$$ 460190. 167496.i 0.0911663 0.0331818i
$$481$$ 2.53062e6 2.12344e6i 0.498729 0.418483i
$$482$$ −1.39070e6 2.40877e6i −0.272657 0.472256i
$$483$$ 6.51263e6 1.12802e7i 1.27025 2.20014i
$$484$$ −433384. 2.45784e6i −0.0840928 0.476914i
$$485$$ 53657.6 + 304308.i 0.0103580 + 0.0587433i
$$486$$ 1.28234e6 2.22108e6i 0.246270 0.426553i
$$487$$ 4.05120e6 + 7.01688e6i 0.774035 + 1.34067i 0.935335 + 0.353763i $$0.115098\pi$$
−0.161300 + 0.986905i $$0.551569\pi$$
$$488$$ −2.16858e6 + 1.81965e6i −0.412217 + 0.345891i
$$489$$ 7.95696e6 2.89610e6i 1.50479 0.547698i
$$490$$ −131847. 47988.3i −0.0248073 0.00902911i
$$491$$ −4.96095e6 4.16273e6i −0.928669 0.779246i 0.0469089 0.998899i $$-0.485063\pi$$
−0.975578 + 0.219653i $$0.929507\pi$$
$$492$$ −1.46602e6 + 8.31421e6i −0.273040 + 1.54849i
$$493$$ 1.22835e6 0.227617
$$494$$ −3.33825e6 + 650224.i −0.615462 + 0.119880i
$$495$$ 562623. 0.103206
$$496$$ 335672. 1.90369e6i 0.0612648 0.347450i
$$497$$ −3.68924e6 3.09564e6i −0.669955 0.562159i
$$498$$ 3.48170e6 + 1.26724e6i 0.629098 + 0.228973i
$$499$$ −1.92702e6 + 701378.i −0.346445 + 0.126096i −0.509382 0.860541i $$-0.670126\pi$$
0.162936 + 0.986637i $$0.447904\pi$$
$$500$$ 1.33699e6 1.12187e6i 0.239169 0.200687i
$$501$$ 2.94094e6 + 5.09385e6i 0.523469 + 0.906675i
$$502$$ −211765. + 366788.i −0.0375055 + 0.0649615i
$$503$$ −459775. 2.60751e6i −0.0810261 0.459522i −0.998144 0.0609048i $$-0.980601\pi$$
0.917117 0.398617i $$-0.130510\pi$$
$$504$$ −581023. 3.29515e6i −0.101887 0.577828i
$$505$$ −808814. + 1.40091e6i −0.141130 + 0.244445i
$$506$$ 586191. + 1.01531e6i 0.101780 + 0.176288i
$$507$$ −1.57451e6 + 1.32117e6i −0.272035 + 0.228264i
$$508$$ 3.68970e6 1.34294e6i 0.634355 0.230886i
$$509$$ 6.47601e6 + 2.35708e6i 1.10793 + 0.403254i 0.830235 0.557414i $$-0.188206\pi$$
0.277698 + 0.960668i $$0.410429\pi$$
$$510$$ −324188. 272026.i −0.0551913 0.0463110i
$$511$$ 161258. 914537.i 0.0273192 0.154935i
$$512$$ 262144. 0.0441942
$$513$$ 4.95562e6 + 5.69636e6i 0.831390 + 0.955661i
$$514$$ 942366. 0.157330
$$515$$ −481454. + 2.73046e6i −0.0799902 + 0.453647i
$$516$$ 1.62054e6 + 1.35979e6i 0.267938 + 0.224827i
$$517$$ 351567. + 127960.i 0.0578471 + 0.0210546i
$$518$$ 2.80576e6 1.02121e6i 0.459437 0.167221i
$$519$$ −6.97304e6 + 5.85108e6i −1.13633 + 0.953493i
$$520$$ 319179. + 552835.i 0.0517638 + 0.0896576i
$$521$$ −3.80300e6 + 6.58699e6i −0.613808 + 1.06315i 0.376785 + 0.926301i $$0.377030\pi$$
−0.990592 + 0.136845i $$0.956304\pi$$
$$522$$ 1.65148e6 + 9.36599e6i 0.265275 + 1.50445i
$$523$$ −1.42200e6 8.06455e6i −0.227324 1.28922i −0.858193 0.513328i $$-0.828413\pi$$
0.630869 0.775889i $$-0.282699\pi$$
$$524$$ −905566. + 1.56849e6i −0.144076 + 0.249547i
$$525$$ −4.40348e6 7.62706e6i −0.697265 1.20770i
$$526$$ −538768. + 452080.i −0.0849058 + 0.0712444i
$$527$$ −1.56972e6 + 571331.i −0.246204 + 0.0896109i
$$528$$ 443604. + 161459.i 0.0692485 + 0.0252044i
$$529$$ 8.05884e6 + 6.76217e6i 1.25208 + 1.05062i
$$530$$ 44174.3 250525.i 0.00683093 0.0387401i
$$531$$ 2.24071e7 3.44865
$$532$$ −3.03629e6 479702.i −0.465118 0.0734839i
$$533$$ −1.10048e7 −1.67789
$$534$$ 1.60311e6 9.09169e6i 0.243282 1.37972i
$$535$$ −771676. 647513.i −0.116560 0.0978057i
$$536$$ −3.91416e6 1.42464e6i −0.588473 0.214187i
$$537$$ −4.77501e6 + 1.73796e6i −0.714560 + 0.260078i
$$538$$ 650680. 545985.i 0.0969196 0.0813252i
$$539$$ −67625.6 117131.i −0.0100263 0.0173660i
$$540$$ 708587. 1.22731e6i 0.104570 0.181121i
$$541$$ −1.09569e6 6.21396e6i −0.160951 0.912800i −0.953141 0.302525i $$-0.902170\pi$$
0.792190 0.610274i $$-0.208941\pi$$
$$542$$ 272041. + 1.54282e6i 0.0397773 + 0.225588i
$$543$$ −4.08984e6 + 7.08381e6i −0.595260 + 1.03102i
$$544$$ −113266. 196183.i −0.0164098 0.0284226i
$$545$$ 68066.0 57114.2i 0.00981610 0.00823669i
$$546$$ 6.42430e6 2.33825e6i 0.922241 0.335668i
$$547$$ −6.71910e6 2.44555e6i −0.960158 0.349469i −0.186063 0.982538i $$-0.559573\pi$$
−0.774095 + 0.633069i $$0.781795\pi$$
$$548$$ 2.41637e6 + 2.02757e6i 0.343725 + 0.288420i
$$549$$ −3.28899e6 + 1.86528e7i −0.465728 + 2.64127i
$$550$$ 792700. 0.111738
$$551$$ 8.63021e6 + 1.36348e6i 1.21099 + 0.191325i
$$552$$ 6.82770e6 0.953733
$$553$$ −883399. + 5.01000e6i −0.122841 + 0.696667i
$$554$$ −6.26785e6 5.25935e6i −0.867649 0.728044i
$$555$$ 2.74758e6 + 1.00004e6i 0.378632 + 0.137811i
$$556$$ −2.64515e6 + 962757.i −0.362881 + 0.132078i
$$557$$ 4.54162e6 3.81087e6i 0.620259 0.520459i −0.277626 0.960689i $$-0.589548\pi$$
0.897885 + 0.440230i $$0.145103\pi$$
$$558$$ −6.46675e6 1.12007e7i −0.879227 1.52287i
$$559$$ −1.37876e6 + 2.38808e6i −0.186620 + 0.323235i
$$560$$ 100191. + 568209.i 0.0135007 + 0.0765663i
$$561$$ −70838.7 401746.i −0.00950305 0.0538945i
$$562$$ 3.24453e6 5.61969e6i 0.433322 0.750537i
$$563$$ −4.35599e6 7.54480e6i −0.579183 1.00317i −0.995573 0.0939885i $$-0.970038\pi$$
0.416390 0.909186i $$-0.363295\pi$$
$$564$$ 1.66910e6 1.40054e6i 0.220945 0.185395i
$$565$$ 2.02179e6 735871.i 0.266449 0.0969796i
$$566$$ −6.62285e6 2.41052e6i −0.868968 0.316278i
$$567$$ −1.89456e6 1.58973e6i −0.247486 0.207666i
$$568$$ 438370. 2.48612e6i 0.0570125 0.323334i
$$569$$ 8.64609e6 1.11954 0.559769 0.828648i $$-0.310890\pi$$
0.559769 + 0.828648i $$0.310890\pi$$
$$570$$ −1.97574e6 2.27107e6i −0.254709 0.292781i
$$571$$ 4.32709e6 0.555399 0.277700 0.960668i $$-0.410428\pi$$
0.277700 + 0.960668i $$0.410428\pi$$
$$572$$ −106854. + 606002.i −0.0136553 + 0.0774433i
$$573$$ −9.70959e6 8.14732e6i −1.23542 1.03664i
$$574$$ −9.34674e6 3.40193e6i −1.18408 0.430969i
$$575$$ 1.07736e7 3.92126e6i 1.35891 0.494602i
$$576$$ 1.34359e6 1.12740e6i 0.168736 0.141587i
$$577$$ −5.91180e6 1.02395e7i −0.739232 1.28039i −0.952842 0.303468i $$-0.901856\pi$$
0.213610 0.976919i $$-0.431478\pi$$
$$578$$ 2.74183e6 4.74900e6i 0.341367 0.591265i
$$579$$ 1.46363e6 + 8.30068e6i 0.181441 + 1.02900i
$$580$$ −284777. 1.61505e6i −0.0351508 0.199350i
$$581$$ −2.18263e6 + 3.78043e6i −0.268250 + 0.464623i
$$582$$ 867350. + 1.50229e6i 0.106142 + 0.183843i
$$583$$ 187850. 157625.i 0.0228897 0.0192067i
$$584$$ 457429. 166490.i 0.0554998 0.0202003i
$$585$$ 4.01349e6 + 1.46079e6i 0.484877 + 0.176481i
$$586$$ 4.13570e6 + 3.47026e6i 0.497513 + 0.417463i
$$587$$ 2.27015e6 1.28746e7i 0.271931 1.54220i −0.476614 0.879113i $$-0.658136\pi$$
0.748545 0.663084i $$-0.230753\pi$$
$$588$$ −787675. −0.0939515
$$589$$ −1.16628e7 + 2.27168e6i −1.38521 + 0.269811i
$$590$$ −3.86383e6 −0.456970
$$591$$ −3.58578e6 + 2.03359e7i −0.422294 + 2.39495i
$$592$$ 1.19896e6 + 1.00605e6i 0.140605 + 0.117982i
$$593$$ 8.57162e6 + 3.11982e6i 1.00098 + 0.364328i 0.789963 0.613154i $$-0.210100\pi$$
0.211019 + 0.977482i $$0.432322\pi$$
$$594$$ 1.28371e6 467232.i 0.149280 0.0543334i
$$595$$ 381945. 320490.i 0.0442292 0.0371127i
$$596$$ 3.66218e6 + 6.34308e6i 0.422303 + 0.731450i
$$597$$ −419460. + 726527.i −0.0481676 + 0.0834288i
$$598$$ 1.54546e6 + 8.76474e6i 0.176728 + 1.00227i
$$599$$ 226342. + 1.28365e6i 0.0257750 + 0.146177i 0.994979 0.100081i $$-0.0319101\pi$$
−0.969204 + 0.246258i $$0.920799\pi$$
$$600$$ 2.30826e6 3.99802e6i 0.261762 0.453384i
$$601$$ −8.17724e6 1.41634e7i −0.923465 1.59949i −0.794011 0.607903i $$-0.792011\pi$$
−0.129454 0.991585i $$-0.541322\pi$$
$$602$$ −1.90925e6 + 1.60205e6i −0.214720 + 0.180171i
$$603$$ −2.61885e7 + 9.53182e6i −2.93303 + 1.06754i
$$604$$ 4.65768e6 + 1.69526e6i 0.519490 + 0.189079i
$$605$$ 2.20577e6 + 1.85086e6i 0.245003 + 0.205582i
$$606$$ −1.57693e6 + 8.94320e6i −0.174434 + 0.989263i
$$607$$ −7.38027e6 −0.813019 −0.406509 0.913647i $$-0.633254\pi$$
−0.406509 + 0.913647i $$0.633254\pi$$
$$608$$ −578028. 1.50408e6i −0.0634147 0.165011i
$$609$$ −1.75635e7 −1.91897
$$610$$ 567147. 3.21645e6i 0.0617123 0.349988i
$$611$$ 2.17568e6 + 1.82561e6i 0.235772 + 0.197836i
$$612$$ −1.42425e6 518386.i −0.153712 0.0559468i
$$613$$ −8.78351e6 + 3.19693e6i −0.944097 + 0.343623i −0.767783 0.640711i $$-0.778640\pi$$
−0.176315 + 0.984334i $$0.556418\pi$$
$$614$$ −6.00264e6 + 5.03681e6i −0.642572 + 0.539182i
$$615$$ −4.87016e6 8.43537e6i −0.519225 0.899324i
$$616$$ −278089. + 481665.i −0.0295279 + 0.0511438i
$$617$$ 626137. + 3.55100e6i 0.0662151 + 0.375524i 0.999850 + 0.0172993i $$0.00550681\pi$$
−0.933635 + 0.358225i $$0.883382\pi$$
$$618$$ 2.70283e6 + 1.53285e7i 0.284673 + 1.61446i
$$619$$ 7.53106e6 1.30442e7i 0.790004 1.36833i −0.135959 0.990714i $$-0.543412\pi$$
0.925964 0.377613i $$-0.123255\pi$$
$$620$$ 1.11511e6 + 1.93143e6i 0.116504 + 0.201790i
$$621$$ 1.51356e7 1.27003e7i 1.57496 1.32155i
$$622$$ −2.85417e6 + 1.03883e6i −0.295804 + 0.107664i
$$623$$ 1.02208e7 + 3.72006e6i 1.05503 + 0.383998i
$$624$$ 2.74525e6 + 2.30354e6i 0.282241 + 0.236828i
$$625$$ 1.16121e6 6.58553e6i 0.118907 0.674358i
$$626$$ −5.73539e6 −0.584961
$$627$$ −51759.3 2.90124e6i −0.00525798 0.294724i
$$628$$ 1.13729e6 0.115072
$$629$$ 234862. 1.33197e6i 0.0236694 0.134236i
$$630$$ 2.95721e6 + 2.48139e6i 0.296845 + 0.249083i
$$631$$ 1.09690e7 + 3.99238e6i 1.09671 + 0.399170i 0.826103 0.563519i $$-0.190553\pi$$
0.270609 + 0.962689i $$0.412775\pi$$
$$632$$ −2.50588e6 + 912065.i −0.249556 + 0.0908308i
$$633$$ −1.02523e7 + 8.60266e6i −1.01697 + 0.853343i
$$634$$ −5.19288e6 8.99434e6i −0.513080 0.888681i
$$635$$ −2.26506e6 + 3.92320e6i −0.222918 + 0.386106i
$$636$$ −247989. 1.40642e6i −0.0243103 0.137870i
$$637$$ −178291. 1.01114e6i −0.0174093 0.0987331i
$$638$$ 790429. 1.36906e6i 0.0768796 0.133159i
$$639$$ −8.44523e6 1.46276e7i −0.818200 1.41716i
$$640$$ −231685. + 194407.i −0.0223588 + 0.0187612i
$$641$$ 3.28011e6 1.19386e6i 0.315314 0.114765i −0.179515 0.983755i $$-0.557453\pi$$
0.494829 + 0.868990i $$0.335231\pi$$
$$642$$ −5.31411e6 1.93418e6i −0.508853 0.185208i
$$643$$ 1.27796e7 + 1.07234e7i 1.21896 + 1.02283i 0.998878 + 0.0473521i $$0.0150783\pi$$
0.220086 + 0.975480i $$0.429366\pi$$
$$644$$ −1.39685e6 + 7.92192e6i −0.132719 + 0.752690i
$$645$$ −2.44067e6 −0.230999
$$646$$ −875870. + 1.08246e6i −0.0825769 + 0.102054i
$$647$$ 6.00141e6 0.563628 0.281814 0.959469i $$-0.409064\pi$$
0.281814 + 0.959469i $$0.409064\pi$$
$$648$$ 225119. 1.27671e6i 0.0210608 0.119442i
$$649$$ −2.85318e6 2.39411e6i −0.265900 0.223116i
$$650$$ 5.65474e6 + 2.05816e6i 0.524964 + 0.191071i
$$651$$ 2.24445e7 8.16914e6i 2.07567 0.755482i
$$652$$ −4.00597e6 + 3.36141e6i −0.369053 + 0.309672i
$$653$$ 3.63802e6 + 6.30123e6i 0.333873 + 0.578285i 0.983268 0.182166i $$-0.0583109\pi$$
−0.649395 + 0.760452i $$0.724978\pi$$
$$654$$ 249408. 431987.i 0.0228016 0.0394935i
$$655$$ −362848. 2.05781e6i −0.0330462 0.187414i
$$656$$ −905383. 5.13468e6i −0.0821434 0.465858i
$$657$$ 1.62847e6 2.82059e6i 0.147186 0.254933i
$$658$$ 1.28352e6 + 2.22312e6i 0.115568 + 0.200170i
$$659$$ −1.44526e7 + 1.21272e7i −1.29638 + 1.08779i −0.305620 + 0.952154i $$0.598864\pi$$
−0.990759 + 0.135637i $$0.956692\pi$$
$$660$$ −511799. + 186280.i −0.0457340 + 0.0166458i
$$661$$ 1.63556e7 + 5.95296e6i 1.45601 + 0.529943i 0.944262 0.329195i $$-0.106777\pi$$
0.511744 + 0.859138i $$0.329000\pi$$
$$662$$ 8.49254e6 + 7.12609e6i 0.753169 + 0.631984i
$$663$$ 537760. 3.04979e6i 0.0475122 0.269455i
$$664$$ −2.28822e6 −0.201409
$$665$$ 3.03924e6 1.82776e6i 0.266509 0.160274i
$$666$$ 1.04719e7 0.914825
$$667$$ 3.97034e6 2.25169e7i 0.345552 1.95972i
$$668$$ −2.78267e6 2.33494e6i −0.241280 0.202458i
$$669$$ 3.18212e7 + 1.15820e7i 2.74885 + 1.00050i
$$670$$ 4.51588e6 1.64365e6i 0.388647 0.141456i
$$671$$ 2.41178e6 2.02372e6i 0.206791 0.173518i
$$672$$ 1.61953e6 + 2.80511e6i 0.138346 + 0.239622i
$$673$$ 3.52493e6 6.10535e6i 0.299994 0.519605i −0.676140 0.736773i $$-0.736349\pi$$
0.976134 + 0.217168i $$0.0696820\pi$$
$$674$$ 304868. + 1.72899e6i 0.0258501 + 0.146603i
$$675$$ −2.31983e6 1.31564e7i −0.195973 1.11142i
$$676$$ 634677. 1.09929e6i 0.0534178 0.0925224i
$$677$$ 5.72974e6 + 9.92421e6i 0.480467 + 0.832193i 0.999749 0.0224098i $$-0.00713385\pi$$
−0.519282 + 0.854603i $$0.673801\pi$$
$$678$$ 9.25267e6 7.76391e6i 0.773024 0.648644i
$$679$$ −1.92050e6 + 699006.i −0.159860 + 0.0581844i
$$680$$ 245596. + 89389.5i 0.0203680 + 0.00741335i
$$681$$ −2.20517e7 1.85036e7i −1.82211 1.52893i
$$682$$ −373317. + 2.11718e6i −0.0307338 + 0.174300i
$$683$$ −6.01391e6 −0.493294 −0.246647 0.969105i $$-0.579329\pi$$
−0.246647 + 0.969105i $$0.579329\pi$$
$$684$$ −9.43120e6 5.22305e6i −0.770774 0.426859i
$$685$$ −3.63926e6 −0.296337
$$686$$ 1.58647e6 8.99731e6i 0.128713 0.729965i
$$687$$ −16361.0 13728.5i −0.00132257 0.00110977i
$$688$$ −1.22767e6 446837.i −0.0988808 0.0359897i
$$689$$ 1.74929e6 636688.i 0.140383 0.0510951i
$$690$$ −6.03438e6 + 5.06344e6i −0.482514 + 0.404877i
$$691$$ 1.02066e7 + 1.76784e7i 0.813180 + 1.40847i 0.910627 + 0.413229i $$0.135599\pi$$
−0.0974472 + 0.995241i $$0.531068\pi$$
$$692$$ 2.81081e6 4.86846e6i 0.223134 0.386479i
$$693$$ 646183. + 3.66469e6i 0.0511120 + 0.289870i
$$694$$ 928622. + 5.26648e6i 0.0731880 + 0.415070i
$$695$$ 1.62383e6 2.81255e6i 0.127520 0.220871i
$$696$$ −4.60329e6 7.97313e6i −0.360201 0.623887i
$$697$$ −3.45149e6 + 2.89614e6i −0.269107 + 0.225807i
$$698$$ −6.09428e6 + 2.21814e6i −0.473460 + 0.172325i
$$699$$ −4.29796e6 1.56433e6i −0.332712 0.121097i
$$700$$ 4.16651e6 + 3.49612e6i 0.321387 + 0.269675i
$$701$$ 195205. 1.10706e6i 0.0150036 0.0850898i −0.976387 0.216031i $$-0.930689\pi$$
0.991390 + 0.130941i $$0.0417999\pi$$
$$702$$ 1.03705e7 0.794249
$$703$$ 3.12862e6 9.09754e6i 0.238761 0.694282i
$$704$$ −291543. −0.0221702
$$705$$ −436518. + 2.47561e6i −0.0330772 + 0.187590i
$$706$$ −6.79811e6 5.70429e6i −0.513306 0.430715i
$$707$$ −1.00538e7 3.65930e6i −0.756456 0.275328i
$$708$$ −2.03830e7 + 7.41879e6i −1.52821 + 0.556224i
$$709$$ −5.36181e6 + 4.49909e6i −0.400586 + 0.336132i −0.820720 0.571330i $$-0.806427\pi$$
0.420134 + 0.907462i $$0.361983\pi$$
$$710$$ 1.45628e6 + 2.52235e6i 0.108417 + 0.187784i
$$711$$ −8.92104e6 + 1.54517e7i −0.661823 + 1.14631i
$$712$$ 990047. + 5.61484e6i 0.0731907 + 0.415085i
$$713$$ 5.39936e6 + 3.06213e7i 0.397758 + 2.25579i
$$714$$ 1.39952e6 2.42405e6i 0.102739 0.177949i
$$715$$ −354974. 614833.i −0.0259676 0.0449772i
$$716$$ 2.40400e6 2.01720e6i 0.175248 0.147050i
$$717$$ −1.51880e7 + 5.52799e6i −1.10332 + 0.401577i
$$718$$ −4.52314e6 1.64629e6i −0.327438 0.119178i
$$719$$ 4.52917e6 + 3.80042e6i 0.326735 + 0.274163i 0.791368 0.611340i $$-0.209369\pi$$
−0.464633 + 0.885503i $$0.653814\pi$$
$$720$$ −351387. + 1.99281e6i −0.0252612 + 0.143264i
$$721$$ −1.83380e7 −1.31376
$$722$$ −7.35529e6 + 6.63300e6i −0.525118 + 0.473551i
$$723$$ 1.80149e7 1.28170
$$724$$ 877201. 4.97485e6i 0.0621946 0.352723i
$$725$$ −1.18427e7 9.93722e6i −0.836771 0.702134i
$$726$$ 1.51899e7 + 5.52868e6i 1.06958 + 0.389296i
$$727$$ 4.43743e6 1.61509e6i 0.311383 0.113334i −0.181601 0.983372i $$-0.558128\pi$$
0.492985 + 0.870038i $$0.335906\pi$$
$$728$$ −3.23435e6 + 2.71394e6i −0.226182 + 0.189789i
$$729$$ 1.07667e7 + 1.86485e7i 0.750352 + 1.29965i
$$730$$ −280810. + 486376.i −0.0195032 + 0.0337804i
$$731$$ 196046. + 1.11183e6i 0.0135695 + 0.0769566i
$$732$$ −3.18390e6 1.80568e7i −0.219625 1.24555i
$$733$$ 70021.3 121280.i 0.00481360 0.00833741i −0.863609 0.504163i $$-0.831801\pi$$
0.868422 + 0.495826i $$0.165134\pi$$
$$734$$ 9.17777e6 + 1.58964e7i 0.628778 + 1.08908i
$$735$$ 696154. 584142.i 0.0475321 0.0398841i
$$736$$ −3.96235e6 + 1.44218e6i −0.269624 + 0.0981350i
$$737$$ 4.35312e6 + 1.58441e6i 0.295211 + 0.107448i
$$738$$ −2.67231e7 2.24234e7i −1.80612 1.51551i
$$739$$ 1.10068e6 6.24227e6i 0.0741396 0.420466i −0.925036 0.379878i $$-0.875966\pi$$
0.999176 0.0405879i $$-0.0129231\pi$$
$$740$$ −1.80575e6 −0.121221
$$741$$ 7.16354e6 2.08305e7i 0.479272 1.39365i
$$742$$ 1.68255e6 0.112191
$$743$$ 893625. 5.06800e6i 0.0593859 0.336794i −0.940610 0.339488i $$-0.889746\pi$$
0.999996 + 0.00269357i $$0.000857391\pi$$
$$744$$ 9.59106e6 + 8.04785e6i 0.635235 + 0.533025i
$$745$$ −7.94071e6 2.89018e6i −0.524166 0.190781i
$$746$$ 1.83792e7 6.68949e6i 1.20915 0.440094i
$$747$$ −1.17280e7 + 9.84095e6i −0.768992 + 0.645261i
$$748$$ 125969. + 218184.i 0.00823206 + 0.0142583i
$$749$$ 3.33134e6 5.77005e6i 0.216978 0.375816i
$$750$$ 1.96297e6 + 1.11326e7i 0.127427 + 0.722673i
$$751$$ −3.98311e6 2.25894e7i −0.257705 1.46152i −0.789033 0.614351i $$-0.789418\pi$$
0.531328 0.847166i $$-0.321693\pi$$
$$752$$ −672806. + 1.16533e6i −0.0433856 + 0.0751460i
$$753$$ −1.37158e6 2.37565e6i −0.0881525 0.152685i
$$754$$ 9.19317e6 7.71399e6i 0.588894 0.494141i
$$755$$ −5.37371e6 + 1.95587e6i −0.343089 + 0.124874i
$$756$$ 8.80799e6 + 3.20585e6i 0.560496 + 0.204004i
$$757$$ −2.02236e6 1.69696e6i −0.128268 0.107630i 0.576397 0.817170i $$-0.304458\pi$$
−0.704665 + 0.709540i $$0.748903\pi$$
$$758$$ 3.15901e6 1.79157e7i 0.199700 1.13256i
$$759$$ −7.59340e6 −0.478445
$$760$$ 1.62630e6 + 900653.i 0.102133 + 0.0565618i
$$761$$ −2.07364e7 −1.29799 −0.648997 0.760791i $$-0.724811\pi$$
−0.648997 + 0.760791i $$0.724811\pi$$
$$762$$ −4.41615e6 + 2.50452e7i −0.275522 + 1.56256i
$$763$$ 450193. + 377757.i 0.0279954 + 0.0234910i
$$764$$ 7.35572e6 + 2.67726e6i 0.455924 + 0.165943i
$$765$$ 1.64321e6 598078.i 0.101517 0.0369491i
$$766$$ 4.45513e6 3.73830e6i 0.274339 0.230198i
$$767$$ −1.41372e7 2.44864e7i −0.867713 1.50292i
$$768$$ −848941. +