Properties

Label 43.7.h.a.12.18
Level $43$
Weight $7$
Character 43.12
Analytic conductor $9.892$
Analytic rank $0$
Dimension $252$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.h (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(252\)
Relative dimension: \(21\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 12.18
Character \(\chi\) \(=\) 43.12
Dual form 43.7.h.a.18.18

$q$-expansion

\(f(q)\) \(=\) \(q+(5.45532 + 11.3281i) q^{2} +(-9.73743 - 14.2822i) q^{3} +(-58.6616 + 73.5593i) q^{4} +(-58.7717 + 63.3408i) q^{5} +(108.669 - 188.220i) q^{6} +(-290.866 + 167.932i) q^{7} +(-368.793 - 84.1745i) q^{8} +(157.170 - 400.464i) q^{9} +O(q^{10})\) \(q+(5.45532 + 11.3281i) q^{2} +(-9.73743 - 14.2822i) q^{3} +(-58.6616 + 73.5593i) q^{4} +(-58.7717 + 63.3408i) q^{5} +(108.669 - 188.220i) q^{6} +(-290.866 + 167.932i) q^{7} +(-368.793 - 84.1745i) q^{8} +(157.170 - 400.464i) q^{9} +(-1038.15 - 320.226i) q^{10} +(-1328.18 - 1665.49i) q^{11} +(1621.80 + 121.537i) q^{12} +(-1680.67 + 518.418i) q^{13} +(-3489.11 - 2378.84i) q^{14} +(1476.93 + 222.611i) q^{15} +(281.564 + 1233.61i) q^{16} +(-1047.07 + 971.543i) q^{17} +(5393.90 - 404.217i) q^{18} +(-4169.06 + 1636.23i) q^{19} +(-1211.67 - 8038.88i) q^{20} +(5230.72 + 2518.98i) q^{21} +(11621.1 - 24131.5i) q^{22} +(13769.4 - 2075.40i) q^{23} +(2388.90 + 6086.81i) q^{24} +(609.710 + 8136.02i) q^{25} +(-15041.3 - 16210.6i) q^{26} +(-19535.3 + 4458.81i) q^{27} +(4709.74 - 31247.1i) q^{28} +(-13235.5 + 19412.9i) q^{29} +(5535.36 + 17945.2i) q^{30} +(-2782.80 + 37133.9i) q^{31} +(-31366.4 + 25013.9i) q^{32} +(-10853.7 + 35186.9i) q^{33} +(-16717.8 - 6561.27i) q^{34} +(6457.77 - 28293.3i) q^{35} +(20238.0 + 35053.2i) q^{36} +(-22650.2 - 13077.1i) q^{37} +(-41278.9 - 38301.2i) q^{38} +(23769.5 + 18955.6i) q^{39} +(27006.3 - 18412.6i) q^{40} +(3409.35 - 1641.86i) q^{41} +72995.8i q^{42} +(28881.1 - 74075.9i) q^{43} +200425. q^{44} +(16128.5 + 33491.2i) q^{45} +(98626.6 + 144659. i) q^{46} +(-26846.6 + 33664.5i) q^{47} +(14877.0 - 16033.6i) q^{48} +(-2422.41 + 4195.73i) q^{49} +(-88839.3 + 51291.4i) q^{50} +(24071.6 + 5494.18i) q^{51} +(60456.3 - 154040. i) q^{52} +(-4091.57 - 1262.08i) q^{53} +(-157081. - 196973. i) q^{54} +(183553. + 13755.4i) q^{55} +(121405. - 37448.5i) q^{56} +(63964.9 + 43610.5i) q^{57} +(-292114. - 44029.2i) q^{58} +(4856.99 + 21279.9i) q^{59} +(-103014. + 95583.2i) q^{60} +(304951. - 22852.9i) q^{61} +(-435836. + 171053. i) q^{62} +(21535.0 + 142875. i) q^{63} +(-381511. - 183726. i) q^{64} +(65938.8 - 136923. i) q^{65} +(-457810. + 69003.8i) q^{66} +(-182582. - 465212. i) q^{67} +(-10043.0 - 134014. i) q^{68} +(-163719. - 176448. i) q^{69} +(355738. - 81195.0i) q^{70} +(-44736.6 + 296808. i) q^{71} +(-91672.1 + 134458. i) q^{72} +(10776.4 + 34936.3i) q^{73} +(24574.5 - 327923. i) q^{74} +(110263. - 87931.8i) q^{75} +(124203. - 402657. i) q^{76} +(666011. + 261390. i) q^{77} +(-85059.9 + 372672. i) q^{78} +(-264647. - 458382. i) q^{79} +(-94686.2 - 54667.1i) q^{80} +(24007.6 + 22275.8i) q^{81} +(37198.2 + 29664.5i) q^{82} +(-181239. + 123567. i) q^{83} +(-492137. + 237001. i) q^{84} -123422. i q^{85} +(996694. - 76940.2i) q^{86} +406138. q^{87} +(349632. + 726018. i) q^{88} +(531917. + 780178. i) q^{89} +(-291405. + 365410. i) q^{90} +(401791. - 433028. i) q^{91} +(-655069. + 1.13461e6i) q^{92} +(557450. - 321844. i) q^{93} +(-527811. - 120469. i) q^{94} +(141382. - 360236. i) q^{95} +(662680. + 204410. i) q^{96} +(77326.2 + 96963.9i) q^{97} +(-60744.6 - 4552.18i) q^{98} +(-875717. + 270123. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 252 q - 14 q^{2} - 11 q^{3} + 1180 q^{4} - 11 q^{5} - 118 q^{6} + 126 q^{7} - 2254 q^{8} - 8178 q^{9} + O(q^{10}) \) \( 252 q - 14 q^{2} - 11 q^{3} + 1180 q^{4} - 11 q^{5} - 118 q^{6} + 126 q^{7} - 2254 q^{8} - 8178 q^{9} + 967 q^{10} + 4090 q^{11} - 484 q^{12} + 1527 q^{13} + 7812 q^{14} - 8923 q^{15} - 13760 q^{16} - 3655 q^{17} + 5596 q^{18} + 38605 q^{19} + 26085 q^{20} + 24873 q^{21} - 25214 q^{22} + 27991 q^{23} - 20480 q^{24} - 24146 q^{25} - 34923 q^{26} - 14 q^{27} - 77634 q^{28} - 112735 q^{29} + 375072 q^{30} + 290647 q^{31} - 344064 q^{32} - 152174 q^{33} - 198311 q^{34} - 182471 q^{35} - 930891 q^{36} + 282762 q^{37} + 487342 q^{38} + 857290 q^{39} + 745459 q^{40} + 27674 q^{41} + 148802 q^{43} - 1255832 q^{44} - 191310 q^{45} - 1344785 q^{46} + 69166 q^{47} - 871241 q^{48} + 1786604 q^{49} + 837705 q^{50} - 182756 q^{51} + 2906416 q^{52} + 7779 q^{53} + 487154 q^{54} - 529592 q^{55} - 2464007 q^{56} - 767855 q^{57} - 1523780 q^{58} + 1531338 q^{59} - 1858647 q^{60} + 646957 q^{61} - 448559 q^{62} - 2007847 q^{63} + 3937366 q^{64} - 1473542 q^{65} + 1513319 q^{66} - 575523 q^{67} + 2717157 q^{68} + 967041 q^{69} + 4624473 q^{70} - 2149319 q^{71} - 9986371 q^{72} - 514565 q^{73} - 882972 q^{74} - 6655138 q^{75} + 1152658 q^{76} - 341803 q^{77} + 6322388 q^{78} - 2476742 q^{79} + 10750038 q^{80} + 4308941 q^{81} + 5079172 q^{82} + 2318609 q^{83} + 5578407 q^{84} + 585292 q^{86} - 1990710 q^{87} - 2864890 q^{88} - 4561993 q^{89} - 17681545 q^{90} - 4648506 q^{91} - 1991714 q^{92} - 8868294 q^{93} - 10200218 q^{94} + 10091737 q^{95} + 6250318 q^{96} - 1676750 q^{97} + 7512700 q^{98} + 18452884 q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{13}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 5.45532 + 11.3281i 0.681915 + 1.41601i 0.898159 + 0.439671i \(0.144905\pi\)
−0.216244 + 0.976339i \(0.569381\pi\)
\(3\) −9.73743 14.2822i −0.360645 0.528970i 0.602441 0.798164i \(-0.294195\pi\)
−0.963086 + 0.269194i \(0.913243\pi\)
\(4\) −58.6616 + 73.5593i −0.916588 + 1.14936i
\(5\) −58.7717 + 63.3408i −0.470174 + 0.506727i −0.922962 0.384892i \(-0.874239\pi\)
0.452788 + 0.891618i \(0.350429\pi\)
\(6\) 108.669 188.220i 0.503097 0.871390i
\(7\) −290.866 + 167.932i −0.848006 + 0.489597i −0.859978 0.510332i \(-0.829523\pi\)
0.0119713 + 0.999928i \(0.496189\pi\)
\(8\) −368.793 84.1745i −0.720298 0.164403i
\(9\) 157.170 400.464i 0.215597 0.549333i
\(10\) −1038.15 320.226i −1.03815 0.320226i
\(11\) −1328.18 1665.49i −0.997882 1.25130i −0.967791 0.251757i \(-0.918992\pi\)
−0.0300911 0.999547i \(-0.509580\pi\)
\(12\) 1621.80 + 121.537i 0.938542 + 0.0703340i
\(13\) −1680.67 + 518.418i −0.764984 + 0.235966i −0.652604 0.757699i \(-0.726323\pi\)
−0.112380 + 0.993665i \(0.535847\pi\)
\(14\) −3489.11 2378.84i −1.27154 0.866923i
\(15\) 1476.93 + 222.611i 0.437609 + 0.0659589i
\(16\) 281.564 + 1233.61i 0.0687413 + 0.301175i
\(17\) −1047.07 + 971.543i −0.213123 + 0.197750i −0.779509 0.626390i \(-0.784532\pi\)
0.566386 + 0.824140i \(0.308341\pi\)
\(18\) 5393.90 404.217i 0.924880 0.0693102i
\(19\) −4169.06 + 1636.23i −0.607823 + 0.238553i −0.649233 0.760589i \(-0.724910\pi\)
0.0414105 + 0.999142i \(0.486815\pi\)
\(20\) −1211.67 8038.88i −0.151458 1.00486i
\(21\) 5230.72 + 2518.98i 0.564811 + 0.271999i
\(22\) 11621.1 24131.5i 1.09139 2.26629i
\(23\) 13769.4 2075.40i 1.13170 0.170576i 0.443622 0.896214i \(-0.353693\pi\)
0.688077 + 0.725638i \(0.258455\pi\)
\(24\) 2388.90 + 6086.81i 0.172808 + 0.440307i
\(25\) 609.710 + 8136.02i 0.0390214 + 0.520705i
\(26\) −15041.3 16210.6i −0.855784 0.922316i
\(27\) −19535.3 + 4458.81i −0.992497 + 0.226531i
\(28\) 4709.74 31247.1i 0.214547 1.42343i
\(29\) −13235.5 + 19412.9i −0.542682 + 0.795969i −0.995412 0.0956789i \(-0.969498\pi\)
0.452730 + 0.891648i \(0.350450\pi\)
\(30\) 5535.36 + 17945.2i 0.205013 + 0.664637i
\(31\) −2782.80 + 37133.9i −0.0934107 + 1.24648i 0.731747 + 0.681576i \(0.238705\pi\)
−0.825158 + 0.564902i \(0.808914\pi\)
\(32\) −31366.4 + 25013.9i −0.957226 + 0.763362i
\(33\) −10853.7 + 35186.9i −0.302020 + 0.979126i
\(34\) −16717.8 6561.27i −0.425347 0.166936i
\(35\) 6457.77 28293.3i 0.150618 0.659903i
\(36\) 20238.0 + 35053.2i 0.433770 + 0.751311i
\(37\) −22650.2 13077.1i −0.447165 0.258171i 0.259467 0.965752i \(-0.416453\pi\)
−0.706632 + 0.707581i \(0.749786\pi\)
\(38\) −41278.9 38301.2i −0.752276 0.698011i
\(39\) 23769.5 + 18955.6i 0.400707 + 0.319553i
\(40\) 27006.3 18412.6i 0.421973 0.287696i
\(41\) 3409.35 1641.86i 0.0494675 0.0238223i −0.408986 0.912540i \(-0.634118\pi\)
0.458454 + 0.888718i \(0.348403\pi\)
\(42\) 72995.8i 0.985259i
\(43\) 28881.1 74075.9i 0.363252 0.931691i
\(44\) 200425. 2.35285
\(45\) 16128.5 + 33491.2i 0.176993 + 0.367531i
\(46\) 98626.6 + 144659.i 1.01326 + 1.48618i
\(47\) −26846.6 + 33664.5i −0.258580 + 0.324249i −0.894127 0.447813i \(-0.852203\pi\)
0.635547 + 0.772062i \(0.280775\pi\)
\(48\) 14877.0 16033.6i 0.134521 0.144980i
\(49\) −2422.41 + 4195.73i −0.0205901 + 0.0356631i
\(50\) −88839.3 + 51291.4i −0.710714 + 0.410331i
\(51\) 24071.6 + 5494.18i 0.181465 + 0.0414183i
\(52\) 60456.3 154040.i 0.429963 1.09553i
\(53\) −4091.57 1262.08i −0.0274829 0.00847735i 0.280983 0.959713i \(-0.409339\pi\)
−0.308466 + 0.951235i \(0.599816\pi\)
\(54\) −157081. 196973.i −0.997568 1.25091i
\(55\) 183553. + 13755.4i 1.10325 + 0.0826769i
\(56\) 121405. 37448.5i 0.691309 0.213241i
\(57\) 63964.9 + 43610.5i 0.345396 + 0.235487i
\(58\) −292114. 44029.2i −1.49716 0.225661i
\(59\) 4856.99 + 21279.9i 0.0236489 + 0.103613i 0.985375 0.170400i \(-0.0545061\pi\)
−0.961726 + 0.274013i \(0.911649\pi\)
\(60\) −103014. + 95583.2i −0.476918 + 0.442515i
\(61\) 304951. 22852.9i 1.34351 0.100682i 0.616524 0.787336i \(-0.288540\pi\)
0.726985 + 0.686654i \(0.240921\pi\)
\(62\) −435836. + 171053.i −1.82872 + 0.717722i
\(63\) 21535.0 + 142875.i 0.0861237 + 0.571393i
\(64\) −381511. 183726.i −1.45535 0.700858i
\(65\) 65938.8 136923.i 0.240105 0.498583i
\(66\) −457810. + 69003.8i −1.59240 + 0.240016i
\(67\) −182582. 465212.i −0.607063 1.54677i −0.821605 0.570057i \(-0.806921\pi\)
0.214542 0.976715i \(-0.431174\pi\)
\(68\) −10043.0 134014.i −0.0319401 0.426211i
\(69\) −163719. 176448.i −0.498371 0.537117i
\(70\) 355738. 81195.0i 1.03714 0.236720i
\(71\) −44736.6 + 296808.i −0.124994 + 0.829278i 0.835201 + 0.549945i \(0.185351\pi\)
−0.960194 + 0.279333i \(0.909887\pi\)
\(72\) −91672.1 + 134458.i −0.245606 + 0.360239i
\(73\) 10776.4 + 34936.3i 0.0277017 + 0.0898067i 0.968368 0.249526i \(-0.0802749\pi\)
−0.940666 + 0.339333i \(0.889799\pi\)
\(74\) 24574.5 327923.i 0.0606442 0.809240i
\(75\) 110263. 87931.8i 0.261364 0.208431i
\(76\) 124203. 402657.i 0.282939 0.917264i
\(77\) 666011. + 261390.i 1.45884 + 0.572554i
\(78\) −85059.9 + 372672.i −0.179243 + 0.785313i
\(79\) −264647. 458382.i −0.536767 0.929708i −0.999076 0.0429890i \(-0.986312\pi\)
0.462308 0.886719i \(-0.347021\pi\)
\(80\) −94686.2 54667.1i −0.184934 0.106772i
\(81\) 24007.6 + 22275.8i 0.0451746 + 0.0419159i
\(82\) 37198.2 + 29664.5i 0.0674652 + 0.0538017i
\(83\) −181239. + 123567.i −0.316969 + 0.216106i −0.711345 0.702843i \(-0.751913\pi\)
0.394375 + 0.918950i \(0.370961\pi\)
\(84\) −492137. + 237001.i −0.830325 + 0.399863i
\(85\) 123422.i 0.200972i
\(86\) 996694. 76940.2i 1.56699 0.120964i
\(87\) 406138. 0.616759
\(88\) 349632. + 726018.i 0.513054 + 1.06537i
\(89\) 531917. + 780178.i 0.754525 + 1.10668i 0.990844 + 0.135009i \(0.0431064\pi\)
−0.236320 + 0.971675i \(0.575941\pi\)
\(90\) −291405. + 365410.i −0.399733 + 0.501249i
\(91\) 401791. 433028.i 0.533183 0.574634i
\(92\) −655069. + 1.13461e6i −0.841246 + 1.45708i
\(93\) 557450. 321844.i 0.693038 0.400125i
\(94\) −527811. 120469.i −0.635470 0.145042i
\(95\) 141382. 360236.i 0.164901 0.420161i
\(96\) 662680. + 204410.i 0.749015 + 0.231040i
\(97\) 77326.2 + 96963.9i 0.0847249 + 0.106242i 0.822387 0.568928i \(-0.192642\pi\)
−0.737662 + 0.675170i \(0.764070\pi\)
\(98\) −60744.6 4552.18i −0.0645401 0.00483661i
\(99\) −875717. + 270123.i −0.902523 + 0.278391i
\(100\) −634246. 432422.i −0.634246 0.432422i
\(101\) 1.11460e6 + 167999.i 1.08182 + 0.163058i 0.665675 0.746242i \(-0.268144\pi\)
0.416142 + 0.909299i \(0.363382\pi\)
\(102\) 69079.5 + 302657.i 0.0650952 + 0.285201i
\(103\) 1.28014e6 1.18780e6i 1.17151 1.08700i 0.176804 0.984246i \(-0.443424\pi\)
0.994706 0.102757i \(-0.0327664\pi\)
\(104\) 663456. 49719.2i 0.589810 0.0442002i
\(105\) −466973. + 183273.i −0.403388 + 0.158318i
\(106\) −8023.84 53234.7i −0.00673697 0.0446969i
\(107\) −466297. 224557.i −0.380638 0.183305i 0.233774 0.972291i \(-0.424892\pi\)
−0.614412 + 0.788985i \(0.710607\pi\)
\(108\) 817986. 1.69857e6i 0.649344 1.34838i
\(109\) −2.21748e6 + 334231.i −1.71230 + 0.258088i −0.930725 0.365721i \(-0.880822\pi\)
−0.781577 + 0.623809i \(0.785584\pi\)
\(110\) 845516. + 2.15434e6i 0.635249 + 1.61859i
\(111\) 33785.2 + 450832.i 0.0247034 + 0.329645i
\(112\) −289061. 311533.i −0.205748 0.221743i
\(113\) −1.26776e6 + 289357.i −0.878619 + 0.200539i −0.637959 0.770070i \(-0.720221\pi\)
−0.240660 + 0.970609i \(0.577364\pi\)
\(114\) −145075. + 962508.i −0.0979213 + 0.649666i
\(115\) −677792. + 994138.i −0.445659 + 0.653662i
\(116\) −651584. 2.11238e6i −0.417442 1.35331i
\(117\) −56544.0 + 754527.i −0.0353044 + 0.471104i
\(118\) −214563. + 171109.i −0.130590 + 0.104142i
\(119\) 141406. 458426.i 0.0839124 0.272037i
\(120\) −525943. 206417.i −0.304365 0.119454i
\(121\) −615570. + 2.69699e6i −0.347473 + 1.52238i
\(122\) 1.92248e6 + 3.32984e6i 1.05873 + 1.83377i
\(123\) −56647.6 32705.5i −0.0304415 0.0175754i
\(124\) −2.56830e6 2.38303e6i −1.34704 1.24987i
\(125\) −1.60673e6 1.28133e6i −0.822648 0.656040i
\(126\) −1.50102e6 + 1.02338e6i −0.750370 + 0.511594i
\(127\) 2.85043e6 1.37270e6i 1.39155 0.670137i 0.420124 0.907466i \(-0.361986\pi\)
0.971429 + 0.237330i \(0.0762721\pi\)
\(128\) 2.75644e6i 1.31437i
\(129\) −1.33919e6 + 308824.i −0.623841 + 0.143861i
\(130\) 1.91079e6 0.869729
\(131\) 978716. + 2.03233e6i 0.435354 + 0.904023i 0.997056 + 0.0766825i \(0.0244328\pi\)
−0.561701 + 0.827340i \(0.689853\pi\)
\(132\) −1.95163e6 2.86251e6i −0.848545 1.24459i
\(133\) 937862. 1.17604e6i 0.398643 0.499882i
\(134\) 4.27391e6 4.60618e6i 1.77628 1.91437i
\(135\) 865699. 1.49943e6i 0.351857 0.609433i
\(136\) 467933. 270161.i 0.186023 0.107400i
\(137\) −1.16687e6 266331.i −0.453798 0.103576i −0.0104883 0.999945i \(-0.503339\pi\)
−0.443310 + 0.896369i \(0.646196\pi\)
\(138\) 1.10567e6 2.81721e6i 0.420716 1.07197i
\(139\) −3.75192e6 1.15731e6i −1.39704 0.430930i −0.497384 0.867530i \(-0.665706\pi\)
−0.899655 + 0.436601i \(0.856182\pi\)
\(140\) 1.70242e6 + 2.13476e6i 0.620414 + 0.777974i
\(141\) 742219. + 55621.6i 0.264774 + 0.0198420i
\(142\) −3.60631e6 + 1.11240e6i −1.25950 + 0.388505i
\(143\) 3.09565e6 + 2.11058e6i 1.05863 + 0.721761i
\(144\) 538271. + 81131.3i 0.180266 + 0.0271707i
\(145\) −451756. 1.97927e6i −0.148184 0.649235i
\(146\) −336973. + 312665.i −0.108277 + 0.100466i
\(147\) 83512.2 6258.38i 0.0262905 0.00197020i
\(148\) 2.29064e6 899011.i 0.706598 0.277319i
\(149\) −606485. 4.02376e6i −0.183342 1.21639i −0.871340 0.490680i \(-0.836748\pi\)
0.687998 0.725712i \(-0.258490\pi\)
\(150\) 1.59762e6 + 769373.i 0.473369 + 0.227962i
\(151\) −2.12877e6 + 4.42043e6i −0.618298 + 1.28391i 0.323022 + 0.946392i \(0.395301\pi\)
−0.941319 + 0.337517i \(0.890413\pi\)
\(152\) 1.67525e6 252503.i 0.477033 0.0719011i
\(153\) 224499. + 572013.i 0.0626815 + 0.159710i
\(154\) 672253. + 8.97059e6i 0.184065 + 2.45617i
\(155\) −2.18854e6 2.35868e6i −0.587705 0.633395i
\(156\) −2.78872e6 + 636507.i −0.734566 + 0.167660i
\(157\) −1.11565e6 + 7.40186e6i −0.288290 + 1.91268i 0.107256 + 0.994231i \(0.465794\pi\)
−0.395545 + 0.918446i \(0.629444\pi\)
\(158\) 3.74886e6 5.49857e6i 0.950447 1.39405i
\(159\) 21816.1 + 70726.0i 0.00542732 + 0.0175949i
\(160\) 259057. 3.45688e6i 0.0632464 0.843965i
\(161\) −3.65652e6 + 2.91598e6i −0.876174 + 0.698725i
\(162\) −121373. + 393482.i −0.0285481 + 0.0925507i
\(163\) 4.24315e6 + 1.66531e6i 0.979773 + 0.384533i 0.800544 0.599275i \(-0.204544\pi\)
0.179230 + 0.983807i \(0.442639\pi\)
\(164\) −79224.1 + 347103.i −0.0179608 + 0.0786914i
\(165\) −1.59087e6 2.75547e6i −0.354147 0.613401i
\(166\) −2.38849e6 1.37899e6i −0.522154 0.301466i
\(167\) −4.95426e6 4.59688e6i −1.06372 0.986992i −0.0637851 0.997964i \(-0.520317\pi\)
−0.999940 + 0.0109712i \(0.996508\pi\)
\(168\) −1.71702e6 1.36928e6i −0.362115 0.288777i
\(169\) −1.43220e6 + 976460.i −0.296719 + 0.202299i
\(170\) 1.39813e6 673305.i 0.284578 0.137046i
\(171\) 1.92672e6i 0.385328i
\(172\) 3.75476e6 + 6.46989e6i 0.737900 + 1.27149i
\(173\) −1.38275e6 −0.267058 −0.133529 0.991045i \(-0.542631\pi\)
−0.133529 + 0.991045i \(0.542631\pi\)
\(174\) 2.21561e6 + 4.60076e6i 0.420577 + 0.873337i
\(175\) −1.54364e6 2.26410e6i −0.288026 0.422456i
\(176\) 1.68060e6 2.10740e6i 0.308266 0.386554i
\(177\) 256628. 276579.i 0.0462791 0.0498770i
\(178\) −5.93615e6 + 1.02817e7i −1.05256 + 1.82308i
\(179\) 2.42683e6 1.40113e6i 0.423137 0.244298i −0.273282 0.961934i \(-0.588109\pi\)
0.696418 + 0.717636i \(0.254776\pi\)
\(180\) −3.40972e6 778246.i −0.584657 0.133444i
\(181\) 458548. 1.16836e6i 0.0773301 0.197034i −0.886981 0.461806i \(-0.847202\pi\)
0.964311 + 0.264772i \(0.0852968\pi\)
\(182\) 7.09727e6 + 2.18922e6i 1.17727 + 0.363141i
\(183\) −3.29583e6 4.13284e6i −0.537788 0.674365i
\(184\) −5.25274e6 393638.i −0.843204 0.0631894i
\(185\) 2.15951e6 666120.i 0.341067 0.105205i
\(186\) 6.68694e6 + 4.55908e6i 1.03917 + 0.708497i
\(187\) 3.00880e6 + 453503.i 0.460117 + 0.0693514i
\(188\) −901477. 3.94963e6i −0.135669 0.594406i
\(189\) 4.93339e6 4.57752e6i 0.730735 0.678023i
\(190\) 4.85206e6 363612.i 0.707401 0.0530124i
\(191\) 3.45570e6 1.35626e6i 0.495948 0.194645i −0.104166 0.994560i \(-0.533217\pi\)
0.600114 + 0.799915i \(0.295122\pi\)
\(192\) 1.09093e6 + 7.23782e6i 0.154132 + 1.02260i
\(193\) −8.67378e6 4.17707e6i −1.20653 0.581032i −0.280997 0.959709i \(-0.590665\pi\)
−0.925529 + 0.378677i \(0.876379\pi\)
\(194\) −676577. + 1.40493e6i −0.0926642 + 0.192419i
\(195\) −2.59764e6 + 391531.i −0.350328 + 0.0528034i
\(196\) −166533. 424319.i −0.0221173 0.0563539i
\(197\) 939387. + 1.25352e7i 0.122870 + 1.63959i 0.629198 + 0.777245i \(0.283383\pi\)
−0.506328 + 0.862341i \(0.668998\pi\)
\(198\) −7.83729e6 8.44659e6i −1.00965 1.08814i
\(199\) 1.08508e7 2.47662e6i 1.37690 0.314268i 0.530891 0.847440i \(-0.321857\pi\)
0.846007 + 0.533172i \(0.179000\pi\)
\(200\) 459989. 3.05183e6i 0.0574986 0.381478i
\(201\) −4.86636e6 + 7.13763e6i −0.599261 + 0.878954i
\(202\) 4.17738e6 + 1.35427e7i 0.506816 + 1.64306i
\(203\) 589716. 7.86921e6i 0.0704944 0.940682i
\(204\) −1.81623e6 + 1.44839e6i −0.213934 + 0.170606i
\(205\) −96376.7 + 312446.i −0.0111869 + 0.0362671i
\(206\) 2.04390e7 + 8.02173e6i 2.33808 + 0.917628i
\(207\) 1.33302e6 5.84032e6i 0.150288 0.658455i
\(208\) −1.11274e6 1.92733e6i −0.123653 0.214174i
\(209\) 8.26238e6 + 4.77029e6i 0.905037 + 0.522523i
\(210\) −4.62362e6 4.29009e6i −0.499257 0.463243i
\(211\) 1.27252e6 + 1.01480e6i 0.135462 + 0.108027i 0.688877 0.724878i \(-0.258104\pi\)
−0.553415 + 0.832906i \(0.686676\pi\)
\(212\) 332856. 226937.i 0.0349340 0.0238176i
\(213\) 4.67468e6 2.25121e6i 0.483741 0.232957i
\(214\) 6.50729e6i 0.663985i
\(215\) 2.99464e6 + 6.18292e6i 0.301321 + 0.622126i
\(216\) 7.57980e6 0.752136
\(217\) −5.42653e6 1.12683e7i −0.531059 1.10276i
\(218\) −1.58833e7 2.32965e7i −1.53310 2.24864i
\(219\) 394032. 494101.i 0.0375145 0.0470417i
\(220\) −1.17793e7 + 1.26951e7i −1.10625 + 1.19225i
\(221\) 1.25612e6 2.17567e6i 0.116374 0.201565i
\(222\) −4.92275e6 + 2.84215e6i −0.449934 + 0.259770i
\(223\) −1.25458e7 2.86350e6i −1.13132 0.258216i −0.384422 0.923157i \(-0.625599\pi\)
−0.746895 + 0.664942i \(0.768456\pi\)
\(224\) 4.92280e6 1.25431e7i 0.437994 1.11599i
\(225\) 3.35401e6 + 1.03457e6i 0.294453 + 0.0908268i
\(226\) −1.01939e7 1.27827e7i −0.883109 1.10738i
\(227\) −71073.1 5326.19i −0.00607614 0.000455344i 0.0716917 0.997427i \(-0.477160\pi\)
−0.0777678 + 0.996971i \(0.524779\pi\)
\(228\) −6.96024e6 + 2.14695e6i −0.587246 + 0.181141i
\(229\) −3.09078e6 2.10726e6i −0.257373 0.175474i 0.427759 0.903893i \(-0.359303\pi\)
−0.685132 + 0.728419i \(0.740255\pi\)
\(230\) −1.49592e7 2.25474e6i −1.22949 0.185316i
\(231\) −2.75201e6 1.20573e7i −0.223262 0.978173i
\(232\) 6.51522e6 6.04524e6i 0.521753 0.484116i
\(233\) 1.48467e7 1.11260e6i 1.17371 0.0879576i 0.526437 0.850214i \(-0.323528\pi\)
0.647275 + 0.762256i \(0.275908\pi\)
\(234\) −8.85581e6 + 3.47565e6i −0.691163 + 0.271262i
\(235\) −554521. 3.67900e6i −0.0427282 0.283483i
\(236\) −1.85025e6 891034.i −0.140765 0.0677888i
\(237\) −3.96972e6 + 8.24321e6i −0.298205 + 0.619229i
\(238\) 5.96450e6 899004.i 0.442429 0.0666854i
\(239\) 6.00219e6 + 1.52933e7i 0.439659 + 1.12023i 0.963332 + 0.268313i \(0.0864662\pi\)
−0.523673 + 0.851919i \(0.675439\pi\)
\(240\) 141234. + 1.88464e6i 0.0102166 + 0.136331i
\(241\) −6.07769e6 6.55020e6i −0.434198 0.467954i 0.477609 0.878572i \(-0.341503\pi\)
−0.911807 + 0.410618i \(0.865313\pi\)
\(242\) −3.39098e7 + 7.73969e6i −2.39265 + 0.546107i
\(243\) −2.09276e6 + 1.38845e7i −0.145848 + 0.967638i
\(244\) −1.62079e7 + 2.37726e7i −1.11572 + 1.63647i
\(245\) −123392. 400028.i −0.00839053 0.0272014i
\(246\) 61460.0 820127.i 0.00412845 0.0550904i
\(247\) 6.15855e6 4.91128e6i 0.408684 0.325915i
\(248\) 4.15200e6 1.34605e7i 0.272209 0.882480i
\(249\) 3.52960e6 + 1.38527e6i 0.228627 + 0.0897295i
\(250\) 5.74974e6 2.51913e7i 0.367983 1.61224i
\(251\) 1.04974e7 + 1.81820e7i 0.663834 + 1.14979i 0.979600 + 0.200957i \(0.0644050\pi\)
−0.315767 + 0.948837i \(0.602262\pi\)
\(252\) −1.17731e7 6.79719e6i −0.735679 0.424745i
\(253\) −2.17448e7 2.01762e7i −1.34274 1.24588i
\(254\) 3.11000e7 + 2.48015e7i 1.89784 + 1.51348i
\(255\) −1.76273e6 + 1.20181e6i −0.106308 + 0.0724796i
\(256\) 6.80853e6 3.27881e6i 0.405820 0.195433i
\(257\) 1.68433e7i 0.992263i 0.868247 + 0.496131i \(0.165247\pi\)
−0.868247 + 0.496131i \(0.834753\pi\)
\(258\) −1.08041e7 1.34858e7i −0.629115 0.785265i
\(259\) 8.78425e6 0.505598
\(260\) 6.20391e6 + 1.28826e7i 0.352976 + 0.732963i
\(261\) 5.69393e6 + 8.35146e6i 0.320251 + 0.469722i
\(262\) −1.76831e7 + 2.21740e7i −0.983231 + 1.23293i
\(263\) −6.67409e6 + 7.19295e6i −0.366880 + 0.395403i −0.889329 0.457268i \(-0.848828\pi\)
0.522449 + 0.852671i \(0.325019\pi\)
\(264\) 6.96461e6 1.20630e7i 0.378516 0.655610i
\(265\) 320410. 184989.i 0.0172174 0.00994048i
\(266\) 1.84386e7 + 4.20850e6i 0.979679 + 0.223605i
\(267\) 5.96315e6 1.51939e7i 0.313287 0.798241i
\(268\) 4.49312e7 + 1.38594e7i 2.33423 + 0.720015i
\(269\) 5.73575e6 + 7.19241e6i 0.294668 + 0.369503i 0.907023 0.421081i \(-0.138349\pi\)
−0.612355 + 0.790583i \(0.709778\pi\)
\(270\) 2.17084e7 + 1.62682e6i 1.10290 + 0.0826509i
\(271\) 2.87567e7 8.87028e6i 1.44488 0.445686i 0.529511 0.848303i \(-0.322376\pi\)
0.915369 + 0.402617i \(0.131899\pi\)
\(272\) −1.49333e6 1.01813e6i −0.0742077 0.0505939i
\(273\) −1.00970e7 1.52188e6i −0.496254 0.0747983i
\(274\) −3.34864e6 1.46714e7i −0.162786 0.713213i
\(275\) 1.27406e7 1.18216e7i 0.612621 0.568430i
\(276\) 2.25834e7 1.69239e6i 1.07414 0.0804959i
\(277\) 5.35456e6 2.10151e6i 0.251933 0.0988763i −0.236014 0.971750i \(-0.575841\pi\)
0.487947 + 0.872873i \(0.337746\pi\)
\(278\) −7.35776e6 4.88155e7i −0.342461 2.27208i
\(279\) 1.44334e7 + 6.95075e6i 0.664593 + 0.320051i
\(280\) −4.76316e6 + 9.89079e6i −0.216980 + 0.450565i
\(281\) −3.22918e7 + 4.86720e6i −1.45537 + 0.219362i −0.828599 0.559843i \(-0.810861\pi\)
−0.626770 + 0.779204i \(0.715623\pi\)
\(282\) 3.41895e6 + 8.71135e6i 0.152457 + 0.388453i
\(283\) 875387. + 1.16812e7i 0.0386225 + 0.515382i 0.982644 + 0.185499i \(0.0593902\pi\)
−0.944022 + 0.329883i \(0.892991\pi\)
\(284\) −1.92087e7 2.07020e7i −0.838575 0.903769i
\(285\) −6.52165e6 + 1.48852e6i −0.281723 + 0.0643015i
\(286\) −7.02105e6 + 4.65816e7i −0.300126 + 1.99121i
\(287\) −715945. + 1.05010e6i −0.0302854 + 0.0444206i
\(288\) 5.08727e6 + 1.64925e7i 0.212965 + 0.690414i
\(289\) −1.65133e6 + 2.20355e7i −0.0684134 + 0.912914i
\(290\) 1.99569e7 1.59151e7i 0.818275 0.652552i
\(291\) 631899. 2.04857e6i 0.0256430 0.0831325i
\(292\) −3.20206e6 1.25671e6i −0.128612 0.0504764i
\(293\) −3.65842e6 + 1.60286e7i −0.145442 + 0.637225i 0.848675 + 0.528915i \(0.177401\pi\)
−0.994117 + 0.108310i \(0.965456\pi\)
\(294\) 526481. + 911892.i 0.0207177 + 0.0358840i
\(295\) −1.63334e6 943007.i −0.0636223 0.0367324i
\(296\) 7.25248e6 + 6.72932e6i 0.279648 + 0.259475i
\(297\) 3.33725e7 + 2.66137e7i 1.27385 + 1.01586i
\(298\) 4.22730e7 2.88212e7i 1.59740 1.08909i
\(299\) −2.20658e7 + 1.06263e7i −0.825481 + 0.397530i
\(300\) 1.32691e7i 0.491448i
\(301\) 4.03916e6 + 2.63962e7i 0.148112 + 0.967927i
\(302\) −6.16881e7 −2.23965
\(303\) −8.45393e6 1.75548e7i −0.303900 0.631055i
\(304\) −3.19234e6 4.68230e6i −0.113629 0.166663i
\(305\) −1.64750e7 + 2.06590e7i −0.580664 + 0.728130i
\(306\) −5.25510e6 + 5.66365e6i −0.183407 + 0.197666i
\(307\) 2.51020e7 4.34780e7i 0.867548 1.50264i 0.00305263 0.999995i \(-0.499028\pi\)
0.864495 0.502641i \(-0.167638\pi\)
\(308\) −5.82969e7 + 3.36577e7i −1.99523 + 1.15195i
\(309\) −2.94296e7 6.71712e6i −0.997492 0.227671i
\(310\) 1.47802e7 3.76593e7i 0.496129 1.26412i
\(311\) −2.20021e7 6.78676e6i −0.731449 0.225622i −0.0934114 0.995628i \(-0.529777\pi\)
−0.638037 + 0.770006i \(0.720253\pi\)
\(312\) −7.17045e6 8.99146e6i −0.236093 0.296051i
\(313\) −3.65020e7 2.73544e6i −1.19037 0.0892062i −0.535227 0.844708i \(-0.679774\pi\)
−0.655146 + 0.755502i \(0.727393\pi\)
\(314\) −8.99351e7 + 2.77413e7i −2.90496 + 0.896062i
\(315\) −1.03155e7 7.03297e6i −0.330033 0.225013i
\(316\) 4.92429e7 + 7.42218e6i 1.56057 + 0.235218i
\(317\) −5.11567e6 2.24132e7i −0.160592 0.703601i −0.989538 0.144272i \(-0.953916\pi\)
0.828946 0.559329i \(-0.188941\pi\)
\(318\) −682176. + 632967.i −0.0212136 + 0.0196834i
\(319\) 4.99110e7 3.74031e6i 1.53753 0.115222i
\(320\) 3.40594e7 1.33673e7i 1.03941 0.407938i
\(321\) 1.33337e6 + 8.84635e6i 0.0403122 + 0.267454i
\(322\) −5.29799e7 2.55138e7i −1.58688 0.764200i
\(323\) 2.77564e6 5.76368e6i 0.0823675 0.171038i
\(324\) −3.04692e6 + 459249.i −0.0895831 + 0.0135025i
\(325\) −5.24258e6 1.33579e7i −0.152720 0.389123i
\(326\) 4.28292e6 + 5.71516e7i 0.123619 + 1.64959i
\(327\) 2.63661e7 + 2.84159e7i 0.754054 + 0.812677i
\(328\) −1.39555e6 + 318524.i −0.0395478 + 0.00902653i
\(329\) 2.15542e6 1.43003e7i 0.0605262 0.401565i
\(330\) 2.25355e7 3.30535e7i 0.627084 0.919763i
\(331\) −1.15830e7 3.75513e7i −0.319403 1.03548i −0.962861 0.269997i \(-0.912977\pi\)
0.643458 0.765481i \(-0.277499\pi\)
\(332\) 1.54229e6 2.05804e7i 0.0421456 0.562393i
\(333\) −8.79685e6 + 7.01526e6i −0.238229 + 0.189981i
\(334\) 2.50468e7 8.11997e7i 0.672222 2.17929i
\(335\) 4.01975e7 + 1.57764e7i 1.06922 + 0.419636i
\(336\) −1.63467e6 + 7.16195e6i −0.0430935 + 0.188805i
\(337\) 8.48198e6 + 1.46912e7i 0.221619 + 0.383856i 0.955300 0.295639i \(-0.0955324\pi\)
−0.733680 + 0.679495i \(0.762199\pi\)
\(338\) −1.88746e7 1.08972e7i −0.488795 0.282206i
\(339\) 1.64773e7 + 1.52887e7i 0.422949 + 0.392439i
\(340\) 9.07883e6 + 7.24012e6i 0.230990 + 0.184208i
\(341\) 6.55420e7 4.46857e7i 1.65294 1.12695i
\(342\) −2.18261e7 + 1.05109e7i −0.545629 + 0.262761i
\(343\) 4.11412e7i 1.01952i
\(344\) −1.68864e7 + 2.48876e7i −0.414823 + 0.611375i
\(345\) 2.07984e7 0.506492
\(346\) −7.54333e6 1.56639e7i −0.182110 0.378156i
\(347\) −4.58676e7 6.72754e7i −1.09779 1.61016i −0.734687 0.678406i \(-0.762671\pi\)
−0.363099 0.931750i \(-0.618281\pi\)
\(348\) −2.38247e7 + 2.98752e7i −0.565314 + 0.708881i
\(349\) −4.27801e7 + 4.61060e7i −1.00639 + 1.08463i −0.00997912 + 0.999950i \(0.503177\pi\)
−0.996408 + 0.0846776i \(0.973014\pi\)
\(350\) 1.72269e7 2.98379e7i 0.401793 0.695927i
\(351\) 3.05209e7 1.76212e7i 0.705790 0.407488i
\(352\) 8.33204e7 + 1.90173e7i 1.91040 + 0.436036i
\(353\) −1.89111e7 + 4.81847e7i −0.429925 + 1.09543i 0.537722 + 0.843122i \(0.319285\pi\)
−0.967647 + 0.252309i \(0.918810\pi\)
\(354\) 4.53310e6 + 1.39828e6i 0.102185 + 0.0315198i
\(355\) −1.61708e7 2.02775e7i −0.361449 0.453242i
\(356\) −8.85925e7 6.63909e6i −1.96357 0.147149i
\(357\) −7.92425e6 + 2.44431e6i −0.174162 + 0.0537219i
\(358\) 2.91113e7 + 1.98477e7i 0.634472 + 0.432575i
\(359\) 2.04226e7 + 3.07821e6i 0.441395 + 0.0665296i 0.365980 0.930623i \(-0.380734\pi\)
0.0754150 + 0.997152i \(0.475972\pi\)
\(360\) −3.12897e6 1.37089e7i −0.0670648 0.293830i
\(361\) −1.97833e7 + 1.83562e7i −0.420511 + 0.390177i
\(362\) 1.57368e7 1.17931e6i 0.331735 0.0248601i
\(363\) 4.45129e7 1.74700e7i 0.930607 0.365236i
\(364\) 8.28352e6 + 5.49576e7i 0.171756 + 1.13952i
\(365\) −2.84624e6 1.37068e6i −0.0585320 0.0281875i
\(366\) 2.88373e7 5.98813e7i 0.588182 1.22137i
\(367\) −9.28704e7 + 1.39980e7i −1.87879 + 0.283183i −0.985932 0.167148i \(-0.946544\pi\)
−0.892862 + 0.450330i \(0.851306\pi\)
\(368\) 6.43721e6 + 1.64017e7i 0.129168 + 0.329114i
\(369\) −121655. 1.62337e6i −0.00242131 0.0323101i
\(370\) 1.93267e7 + 2.08292e7i 0.381550 + 0.411213i
\(371\) 1.40204e6 320007.i 0.0274561 0.00626669i
\(372\) −9.02629e6 + 5.98855e7i −0.175340 + 1.16330i
\(373\) 1.51062e6 2.21567e6i 0.0291090 0.0426951i −0.811408 0.584480i \(-0.801299\pi\)
0.840517 + 0.541784i \(0.182251\pi\)
\(374\) 1.12766e7 + 3.65579e7i 0.215558 + 0.698822i
\(375\) −2.65470e6 + 3.54245e7i −0.0503410 + 0.671753i
\(376\) 1.27345e7 1.01554e7i 0.239562 0.191045i
\(377\) 1.21805e7 3.94881e7i 0.227321 0.736958i
\(378\) 7.87677e7 + 3.09140e7i 1.45839 + 0.572374i
\(379\) 1.90629e7 8.35200e7i 0.350164 1.53417i −0.426638 0.904422i \(-0.640302\pi\)
0.776802 0.629745i \(-0.216841\pi\)
\(380\) 1.82050e7 + 3.15320e7i 0.331772 + 0.574646i
\(381\) −4.73610e7 2.73439e7i −0.856340 0.494408i
\(382\) 3.42158e7 + 3.17476e7i 0.613814 + 0.569536i
\(383\) 3.71067e7 + 2.95916e7i 0.660475 + 0.526711i 0.895378 0.445308i \(-0.146906\pi\)
−0.234902 + 0.972019i \(0.575477\pi\)
\(384\) −3.93680e7 + 2.68407e7i −0.695264 + 0.474023i
\(385\) −5.56992e7 + 2.68233e7i −0.976038 + 0.470035i
\(386\) 1.21045e8i 2.10467i
\(387\) −2.51255e7 2.32084e7i −0.433492 0.400416i
\(388\) −1.16687e7 −0.199768
\(389\) 1.93276e7 + 4.01342e7i 0.328344 + 0.681814i 0.998155 0.0607180i \(-0.0193390\pi\)
−0.669811 + 0.742532i \(0.733625\pi\)
\(390\) −1.86062e7 2.72903e7i −0.313664 0.460060i
\(391\) −1.24012e7 + 1.55506e7i −0.207460 + 0.260147i
\(392\) 1.24654e6 1.34345e6i 0.0206942 0.0223030i
\(393\) 1.94959e7 3.37678e7i 0.321192 0.556321i
\(394\) −1.36876e8 + 7.90252e7i −2.23788 + 1.29204i
\(395\) 4.45881e7 + 1.01769e7i 0.723482 + 0.165130i
\(396\) 3.15009e7 8.02630e7i 0.507268 1.29250i
\(397\) 9.28251e6 + 2.86327e6i 0.148352 + 0.0457606i 0.368042 0.929809i \(-0.380028\pi\)
−0.219690 + 0.975570i \(0.570504\pi\)
\(398\) 8.72498e7 + 1.09408e8i 1.38393 + 1.73540i
\(399\) −2.59288e7 1.94309e6i −0.408191 0.0305897i
\(400\) −9.86503e6 + 3.04296e6i −0.154141 + 0.0475462i
\(401\) −2.65263e7 1.80853e7i −0.411380 0.280474i 0.339895 0.940463i \(-0.389609\pi\)
−0.751275 + 0.659989i \(0.770561\pi\)
\(402\) −1.07403e8 1.61884e7i −1.65325 0.249188i
\(403\) −1.45739e7 6.38524e7i −0.222669 0.975578i
\(404\) −7.77420e7 + 7.21340e7i −1.17899 + 1.09395i
\(405\) −2.82194e6 + 211475.i −0.0424798 + 0.00318342i
\(406\) 9.23601e7 3.62487e7i 1.38009 0.541644i
\(407\) 8.30384e6 + 5.50924e7i 0.123167 + 0.817163i
\(408\) −8.41495e6 4.05243e6i −0.123900 0.0596671i
\(409\) 5.08541e7 1.05600e8i 0.743286 1.54345i −0.0933141 0.995637i \(-0.529746\pi\)
0.836601 0.547813i \(-0.184540\pi\)
\(410\) −4.06518e6 + 612727.i −0.0589831 + 0.00889027i
\(411\) 7.55856e6 + 1.92589e7i 0.108871 + 0.277400i
\(412\) 1.22784e7 + 1.63844e8i 0.175571 + 2.34283i
\(413\) −4.98629e6 5.37395e6i −0.0707828 0.0762857i
\(414\) 7.34317e7 1.67603e7i 1.03486 0.236201i
\(415\) 2.82491e6 1.87420e7i 0.0395239 0.262224i
\(416\) 3.97489e7 5.83009e7i 0.552135 0.809833i
\(417\) 2.00051e7 + 6.48548e7i 0.275887 + 0.894404i
\(418\) −8.96431e6 + 1.19620e8i −0.122741 + 1.63786i
\(419\) −1.03766e8 + 8.27508e7i −1.41063 + 1.12494i −0.436306 + 0.899798i \(0.643714\pi\)
−0.974326 + 0.225143i \(0.927715\pi\)
\(420\) 1.39119e7 4.51013e7i 0.187775 0.608753i
\(421\) 3.25363e6 + 1.27696e6i 0.0436036 + 0.0171131i 0.387043 0.922062i \(-0.373497\pi\)
−0.343439 + 0.939175i \(0.611592\pi\)
\(422\) −4.55375e6 + 1.99513e7i −0.0605944 + 0.265481i
\(423\) 9.26193e6 + 1.60421e7i 0.122372 + 0.211954i
\(424\) 1.40271e6 + 809853.i 0.0184022 + 0.0106245i
\(425\) −8.54290e6 7.92666e6i −0.111286 0.103258i
\(426\) 5.10037e7 + 4.06741e7i 0.659740 + 0.526125i
\(427\) −8.48622e7 + 5.78581e7i −1.09001 + 0.743157i
\(428\) 4.38720e7 2.11277e7i 0.559573 0.269476i
\(429\) 6.47642e7i 0.820282i
\(430\) −5.37039e7 + 6.76533e7i −0.675462 + 0.850910i
\(431\) 5.40553e7 0.675160 0.337580 0.941297i \(-0.390392\pi\)
0.337580 + 0.941297i \(0.390392\pi\)
\(432\) −1.10009e7 2.28436e7i −0.136451 0.283344i
\(433\) 4.48665e7 + 6.58071e7i 0.552661 + 0.810605i 0.996331 0.0855857i \(-0.0272761\pi\)
−0.443670 + 0.896190i \(0.646324\pi\)
\(434\) 9.80448e7 1.22944e8i 1.19938 1.50397i
\(435\) −2.38694e7 + 2.57251e7i −0.289984 + 0.312528i
\(436\) 1.05495e8 1.82723e8i 1.27284 2.20462i
\(437\) −5.40094e7 + 3.11824e7i −0.647180 + 0.373650i
\(438\) 7.74678e6 + 1.76815e6i 0.0921933 + 0.0210425i
\(439\) −1.40931e7 + 3.59087e7i −0.166577 + 0.424430i −0.989650 0.143505i \(-0.954163\pi\)
0.823073 + 0.567936i \(0.192258\pi\)
\(440\) −6.65350e7 2.05233e7i −0.781074 0.240929i
\(441\) 1.29951e6 + 1.62953e6i 0.0151518 + 0.0189997i
\(442\) 3.14987e7 + 2.36050e6i 0.364775 + 0.0273361i
\(443\) −1.09503e8 + 3.37772e7i −1.25955 + 0.388519i −0.851458 0.524423i \(-0.824281\pi\)
−0.408089 + 0.912942i \(0.633805\pi\)
\(444\) −3.51448e7 2.39613e7i −0.401525 0.273755i
\(445\) −8.06788e7 1.21604e7i −0.915544 0.137996i
\(446\) −3.60034e7 1.57741e8i −0.405826 1.77804i
\(447\) −5.15625e7 + 4.78430e7i −0.577313 + 0.535668i
\(448\) 1.41822e8 1.06281e7i 1.57728 0.118201i
\(449\) −1.75099e7 + 6.87213e6i −0.193439 + 0.0759193i −0.460083 0.887876i \(-0.652180\pi\)
0.266644 + 0.963795i \(0.414085\pi\)
\(450\) 6.57743e6 + 4.36384e7i 0.0721803 + 0.478885i
\(451\) −7.26272e6 3.49754e6i −0.0791716 0.0381270i
\(452\) 5.30837e7 1.10230e8i 0.574839 1.19367i
\(453\) 8.38622e7 1.26402e7i 0.902135 0.135975i
\(454\) −327391. 834178.i −0.00349864 0.00891438i
\(455\) 3.81439e6 + 5.08996e7i 0.0404941 + 0.540356i
\(456\) −1.99189e7 2.14674e7i −0.210073 0.226405i
\(457\) 8.97900e7 2.04940e7i 0.940761 0.214723i 0.275473 0.961309i \(-0.411166\pi\)
0.665288 + 0.746586i \(0.268309\pi\)
\(458\) 7.01002e6 4.65084e7i 0.0729664 0.484100i
\(459\) 1.61230e7 2.36481e7i 0.166728 0.244545i
\(460\) −3.33678e7 1.08176e8i −0.342810 1.11136i
\(461\) −4.40517e6 + 5.87829e7i −0.0449635 + 0.599996i 0.928526 + 0.371266i \(0.121076\pi\)
−0.973490 + 0.228730i \(0.926543\pi\)
\(462\) 1.21574e8 9.69517e7i 1.23286 0.983172i
\(463\) 2.81836e7 9.13689e7i 0.283957 0.920567i −0.695433 0.718591i \(-0.744787\pi\)
0.979390 0.201976i \(-0.0647364\pi\)
\(464\) −2.76747e7 1.08615e7i −0.277031 0.108727i
\(465\) −1.23764e7 + 5.42246e7i −0.123094 + 0.539309i
\(466\) 9.35970e7 + 1.62115e8i 0.924920 + 1.60201i
\(467\) −9.88340e7 5.70618e7i −0.970411 0.560267i −0.0710493 0.997473i \(-0.522635\pi\)
−0.899361 + 0.437206i \(0.855968\pi\)
\(468\) −5.21855e7 4.84211e7i −0.509111 0.472386i
\(469\) 1.31231e8 + 1.04653e8i 1.27209 + 1.01446i
\(470\) 3.86510e7 2.63518e7i 0.372278 0.253815i
\(471\) 1.16578e8 5.61411e7i 1.11572 0.537302i
\(472\) 8.25669e6i 0.0785199i
\(473\) −1.61732e8 + 5.02851e7i −1.52831 + 0.475178i
\(474\) −1.15036e8 −1.08018
\(475\) −1.58543e7 3.29219e7i −0.147934 0.307188i
\(476\) 2.54264e7 + 3.72937e7i 0.235757 + 0.345792i
\(477\) −1.14849e6 + 1.44016e6i −0.0105821 + 0.0132696i
\(478\) −1.40500e8 + 1.51423e8i −1.28645 + 1.38646i
\(479\) −3.09923e6 + 5.36802e6i −0.0281999 + 0.0488436i −0.879781 0.475379i \(-0.842311\pi\)
0.851581 + 0.524223i \(0.175644\pi\)
\(480\) −5.18943e7 + 2.99612e7i −0.469241 + 0.270917i
\(481\) 4.48470e7 + 1.02360e7i 0.402993 + 0.0919806i
\(482\) 4.10454e7 1.04582e8i 0.366542 0.933933i
\(483\) 7.72516e7 + 2.38290e7i 0.685593 + 0.211477i
\(484\) −1.62278e8 2.03490e8i −1.43128 1.79477i
\(485\) −1.06864e7 800832.i −0.0936709 0.00701966i
\(486\) −1.68702e8 + 5.20376e7i −1.46964 + 0.453324i
\(487\) −1.54615e8 1.05415e8i −1.33864 0.912672i −0.339039 0.940772i \(-0.610102\pi\)
−0.999605 + 0.0281007i \(0.991054\pi\)
\(488\) −1.14387e8 1.72411e7i −0.984280 0.148356i
\(489\) −1.75330e7 7.68173e7i −0.149945 0.656950i
\(490\) 3.85840e6 3.58007e6i 0.0327959 0.0304301i
\(491\) 1.16459e8 8.72742e6i 0.983852 0.0737295i 0.426922 0.904289i \(-0.359598\pi\)
0.556931 + 0.830559i \(0.311979\pi\)
\(492\) 5.72883e6 2.24840e6i 0.0481028 0.0188790i
\(493\) −5.00192e6 3.31856e7i −0.0417442 0.276955i
\(494\) 8.92322e7 + 4.29720e7i 0.740186 + 0.356455i
\(495\) 3.43576e7 7.13442e7i 0.283274 0.588225i
\(496\) −4.65924e7 + 7.02267e6i −0.381830 + 0.0575516i
\(497\) −3.68311e7 9.38440e7i −0.300016 0.764429i
\(498\) 3.56268e6 + 4.75407e7i 0.0288462 + 0.384926i
\(499\) 4.50562e7 + 4.85590e7i 0.362621 + 0.390812i 0.887838 0.460156i \(-0.152207\pi\)
−0.525218 + 0.850968i \(0.676016\pi\)
\(500\) 1.88507e8 4.30255e7i 1.50806 0.344204i
\(501\) −1.74118e7 + 1.15519e8i −0.138462 + 0.918633i
\(502\) −1.48700e8 + 2.18103e8i −1.17544 + 1.72406i
\(503\) 6.21004e7 + 2.01325e8i 0.487967 + 1.58195i 0.780153 + 0.625589i \(0.215141\pi\)
−0.292186 + 0.956362i \(0.594383\pi\)
\(504\) 4.08451e6 5.45040e7i 0.0319043 0.425733i
\(505\) −7.61480e7 + 6.07260e7i −0.591268 + 0.471520i
\(506\) 1.09933e8 3.56394e8i 0.848548 2.75092i
\(507\) 2.78920e7 + 1.09468e7i 0.214020 + 0.0839968i
\(508\) −6.62364e7 + 2.90201e8i −0.505249 + 2.21364i
\(509\) −8.78132e7 1.52097e8i −0.665896 1.15337i −0.979042 0.203660i \(-0.934716\pi\)
0.313146 0.949705i \(-0.398617\pi\)
\(510\) −2.32305e7 1.34121e7i −0.175125 0.101108i
\(511\) −9.00141e6 8.35209e6i −0.0674603 0.0625940i
\(512\) −6.36394e7 5.07507e7i −0.474150 0.378122i
\(513\) 7.41482e7 5.05534e7i 0.549223 0.374454i
\(514\) −1.90802e8 + 9.18853e7i −1.40505 + 0.676638i
\(515\) 1.50894e8i 1.10472i
\(516\) 5.58424e7 1.16626e8i 0.406457 0.848882i
\(517\) 9.17248e7 0.663767
\(518\) 4.79209e7 + 9.95087e7i 0.344775 + 0.715932i
\(519\) 1.34644e7 + 1.97487e7i 0.0963131 + 0.141265i
\(520\) −3.58432e7 + 4.49459e7i −0.254916 + 0.319654i
\(521\) 6.35213e6 6.84597e6i 0.0449166 0.0484085i −0.710194 0.704006i \(-0.751393\pi\)
0.755110 + 0.655598i \(0.227583\pi\)
\(522\) −6.35438e7 + 1.10061e8i −0.446747 + 0.773789i
\(523\) 1.01960e8 5.88664e7i 0.712726 0.411493i −0.0993434 0.995053i \(-0.531674\pi\)
0.812070 + 0.583561i \(0.198341\pi\)
\(524\) −2.06910e8 4.72258e7i −1.43809 0.328235i
\(525\) −1.73052e7 + 4.40931e7i −0.119591 + 0.304714i
\(526\) −1.17892e8 3.63647e7i −0.810076 0.249875i
\(527\) −3.31634e7 4.15855e7i −0.226583 0.284126i
\(528\) −4.64630e7 3.48192e6i −0.315650 0.0236547i
\(529\) 4.38293e7 1.35195e7i 0.296072 0.0913261i
\(530\) 3.84350e6 + 2.62046e6i 0.0258166 + 0.0176015i
\(531\) 9.28518e6 + 1.39952e6i 0.0620164 + 0.00934747i
\(532\) 3.14923e7 + 1.37977e8i 0.209156 + 0.916372i
\(533\) −4.87882e6 + 4.52688e6i −0.0322206 + 0.0298963i
\(534\) 2.04648e8 1.53363e7i 1.34395 0.100715i
\(535\) 4.16287e7 1.63381e7i 0.271851 0.106694i
\(536\) 2.81760e7 + 1.86935e8i 0.182972 + 1.21394i
\(537\) −4.36423e7 2.10170e7i −0.281829 0.135721i
\(538\) −5.01858e7 + 1.04212e8i −0.322281 + 0.669223i
\(539\) 1.02053e7 1.53821e6i 0.0651719 0.00982309i
\(540\) 5.95141e7 + 1.51640e8i 0.377954 + 0.963011i
\(541\) −1.01960e7 1.36056e8i −0.0643929 0.859264i −0.932103 0.362193i \(-0.882028\pi\)
0.867710 0.497071i \(-0.165591\pi\)
\(542\) 2.57360e8 + 2.77368e8i 1.61638 + 1.74204i
\(543\) −2.11518e7 + 4.82776e6i −0.132114 + 0.0301541i
\(544\) 8.54090e6 5.66652e7i 0.0530526 0.351981i
\(545\) 1.09155e8 1.60100e8i 0.674299 0.989015i
\(546\) −3.78423e7 1.22682e8i −0.232488 0.753707i
\(547\) 4.33489e6 5.78451e7i 0.0264860 0.353431i −0.968178 0.250263i \(-0.919483\pi\)
0.994664 0.103168i \(-0.0328980\pi\)
\(548\) 8.80419e7 7.02111e7i 0.534992 0.426642i
\(549\) 3.87775e7 1.25714e8i 0.234349 0.759740i
\(550\) 2.03420e8 + 7.98363e7i 1.22266 + 0.479858i
\(551\) 2.34154e7 1.02590e8i 0.139974 0.613266i
\(552\) 4.55261e7 + 7.88536e7i 0.270672 + 0.468818i
\(553\) 1.53954e8 + 8.88853e7i 0.910364 + 0.525599i
\(554\) 5.30169e7 + 4.91925e7i 0.311807 + 0.289314i
\(555\) −3.05417e7 2.43562e7i −0.178655 0.142472i
\(556\) 3.05225e8 2.08099e8i 1.77580 1.21072i
\(557\) 1.69472e8 8.16136e7i 0.980694 0.472277i 0.126350 0.991986i \(-0.459674\pi\)
0.854344 + 0.519708i \(0.173959\pi\)
\(558\) 2.01421e8i 1.15932i
\(559\) −1.01373e7 + 1.39470e8i −0.0580346 + 0.798444i
\(560\) 3.67213e7 0.209100
\(561\) −2.28209e7 4.73881e7i −0.129254 0.268399i
\(562\) −2.31298e8 3.39252e8i −1.30306 1.91123i
\(563\) −8.12453e7 + 1.01878e8i −0.455274 + 0.570896i −0.955497 0.295001i \(-0.904680\pi\)
0.500223 + 0.865897i \(0.333251\pi\)
\(564\) −4.76313e7 + 5.13343e7i −0.265494 + 0.286135i
\(565\) 5.61801e7 9.73068e7i 0.311485 0.539508i
\(566\) −1.27550e8 + 7.36412e7i −0.703449 + 0.406136i
\(567\) −1.07238e7 2.44764e6i −0.0588302 0.0134276i
\(568\) 4.14822e7 1.05695e8i 0.226369 0.576778i
\(569\) 3.42252e8 + 1.05571e8i 1.85784 + 0.573069i 0.998049 + 0.0624302i \(0.0198851\pi\)
0.859795 + 0.510639i \(0.170591\pi\)
\(570\) −5.24398e7 6.57574e7i −0.283163 0.355075i
\(571\) 3.01734e8 + 2.26118e7i 1.62075 + 0.121458i 0.853923 0.520399i \(-0.174217\pi\)
0.766824 + 0.641857i \(0.221836\pi\)
\(572\) −3.36848e8 + 1.03904e8i −1.79989 + 0.555193i
\(573\) −5.30200e7 3.61485e7i −0.281823 0.192144i
\(574\) −1.58013e7 2.38166e6i −0.0835521 0.0125934i
\(575\) 2.52808e7 + 1.10762e8i 0.132980 + 0.582625i
\(576\) −1.33538e8 + 1.23905e8i −0.698773 + 0.648367i
\(577\) 3.62073e7 2.71336e6i 0.188481 0.0141247i 0.0198450 0.999803i \(-0.493683\pi\)
0.168636 + 0.985678i \(0.446064\pi\)
\(578\) −2.58629e8 + 1.01504e8i −1.33935 + 0.525655i
\(579\) 2.48026e7 + 1.64554e8i 0.127780 + 0.847762i
\(580\) 1.72095e8 + 8.28765e7i 0.882031 + 0.424764i
\(581\) 3.19655e7 6.63771e7i 0.162987 0.338446i
\(582\) 2.66535e7 4.01737e6i 0.135203 0.0203785i
\(583\) 3.33236e6 + 8.49072e6i 0.0168169 + 0.0428488i
\(584\) −1.03352e6 1.37914e7i −0.00518896 0.0692418i
\(585\) −4.44692e7 4.79264e7i −0.222122 0.239390i
\(586\) −2.01531e8 + 4.59982e7i −1.00150 + 0.228585i
\(587\) −2.99259e7 + 1.98545e8i −0.147956 + 0.981625i 0.784444 + 0.620199i \(0.212948\pi\)
−0.932401 + 0.361426i \(0.882290\pi\)
\(588\) −4.43860e6 + 6.51023e6i −0.0218330 + 0.0320232i
\(589\) −4.91580e7 1.59366e8i −0.240574 0.779922i
\(590\) 1.77210e6 2.36470e7i 0.00862842 0.115138i
\(591\) 1.69883e8 1.35478e8i 0.822979 0.656304i
\(592\) 9.75462e6 3.16237e7i 0.0470160 0.152422i
\(593\) 5.75867e7 + 2.26011e7i 0.276158 + 0.108384i 0.499378 0.866384i \(-0.333562\pi\)
−0.223220 + 0.974768i \(0.571657\pi\)
\(594\) −1.19424e8 + 5.23233e8i −0.569815 + 2.49652i
\(595\) 2.07264e7 + 3.58992e7i 0.0983951 + 0.170425i
\(596\) 3.31563e8 + 1.91428e8i 1.56613 + 0.904204i
\(597\) −1.41030e8 1.30857e8i −0.662810 0.614998i
\(598\) −2.40752e8 1.91994e8i −1.12581 0.897807i
\(599\) −2.25155e8 + 1.53508e8i −1.04762 + 0.714252i −0.959457 0.281854i \(-0.909050\pi\)
−0.0881582 + 0.996106i \(0.528098\pi\)
\(600\) −4.80658e7 + 2.31473e7i −0.222527 + 0.107163i
\(601\) 1.01097e7i 0.0465707i 0.999729 + 0.0232854i \(0.00741263\pi\)
−0.999729 + 0.0232854i \(0.992587\pi\)
\(602\) −2.76984e8 + 1.89756e8i −1.26959 + 0.869772i
\(603\) −2.14997e8 −0.980573
\(604\) −2.00287e8 4.15901e8i −0.908955 1.88746i
\(605\) −1.34651e8 1.97497e8i −0.608057 0.891856i
\(606\) 1.52743e8 1.91534e8i 0.686346 0.860651i
\(607\) 1.10895e6 1.19516e6i 0.00495845 0.00534394i −0.730568 0.682840i \(-0.760745\pi\)
0.735526 + 0.677496i \(0.236935\pi\)
\(608\) 8.98397e7 1.55607e8i 0.399722 0.692338i
\(609\) −1.18132e8 + 6.82034e7i −0.523016 + 0.301963i
\(610\) −3.23902e8 7.39286e7i −1.42700 0.325704i
\(611\) 2.76679e7 7.04967e7i 0.121298 0.309062i
\(612\) −5.52464e7 1.70412e7i −0.241018 0.0743442i
\(613\) 9.78545e7 + 1.22706e8i 0.424815 + 0.532701i 0.947471 0.319843i \(-0.103630\pi\)
−0.522656 + 0.852544i \(0.675059\pi\)
\(614\) 6.29461e8 + 4.71716e7i 2.71934 + 0.203787i
\(615\) 5.40087e6 1.66595e6i 0.0232187 0.00716202i
\(616\) −2.23617e8 1.52460e8i −0.956673 0.652249i
\(617\) −3.63828e7 5.48383e6i −0.154896 0.0233469i 0.0711363 0.997467i \(-0.477337\pi\)
−0.226033 + 0.974120i \(0.572576\pi\)
\(618\) −8.44558e7 3.70025e8i −0.357820 1.56771i
\(619\) −4.92638e7 + 4.57101e7i −0.207709 + 0.192726i −0.777167 0.629295i \(-0.783344\pi\)
0.569457 + 0.822021i \(0.307153\pi\)
\(620\) 3.01886e8 2.26233e7i 1.26668 0.0949249i
\(621\) −2.59735e8 + 1.01939e8i −1.08457 + 0.425661i
\(622\) −4.31477e7 2.86266e8i −0.179302 1.18959i
\(623\) −2.85733e8 1.37602e8i −1.18167 0.569063i
\(624\) −1.66912e7 + 3.46596e7i −0.0686964 + 0.142650i
\(625\) 4.95329e7 7.46589e6i 0.202887 0.0305803i
\(626\) −1.68142e8 4.28420e8i −0.685416 1.74641i
\(627\) −1.23242e7 1.64455e8i −0.0499984 0.667183i
\(628\) −4.79030e8 5.16271e8i −1.93412 2.08449i
\(629\) 3.64215e7 8.31296e6i 0.146354 0.0334044i
\(630\) 2.33959e7 1.55222e8i 0.0935660 0.620770i
\(631\) −5.44001e7 + 7.97902e7i −0.216527 + 0.317586i −0.919099 0.394026i \(-0.871082\pi\)
0.702573 + 0.711612i \(0.252034\pi\)
\(632\) 5.90158e7 + 1.91325e8i 0.233785 + 0.757914i
\(633\) 2.10250e6 2.80559e7i 0.00828944 0.110615i
\(634\) 2.25991e8 1.80222e8i 0.886796 0.707196i
\(635\) −8.05771e7 + 2.61225e8i −0.314696 + 1.02022i
\(636\) −6.48232e6 2.54412e6i −0.0251976 0.00988933i
\(637\) 1.89612e6 8.30746e6i 0.00733581 0.0321403i
\(638\) 3.14651e8 + 5.44991e8i 1.21162 + 2.09859i
\(639\) 1.11829e8 + 6.45647e7i 0.428601 + 0.247453i
\(640\) 1.74595e8 + 1.62001e8i 0.666028 + 0.617984i
\(641\) 8.60373e7 + 6.86124e7i 0.326672 + 0.260513i 0.773068 0.634323i \(-0.218721\pi\)
−0.446396 + 0.894836i \(0.647293\pi\)
\(642\) −9.29382e7 + 6.33642e7i −0.351228 + 0.239463i
\(643\) −9.15883e7 + 4.41066e7i −0.344514 + 0.165909i −0.598137 0.801394i \(-0.704092\pi\)
0.253623 + 0.967303i \(0.418378\pi\)
\(644\) 4.40027e8i 1.64749i
\(645\) 5.91455e7 1.02976e8i 0.220416 0.383756i
\(646\) 8.04334e7 0.298359
\(647\) 1.12156e7 + 2.32895e7i 0.0414105 + 0.0859898i 0.920648 0.390395i \(-0.127661\pi\)
−0.879237 + 0.476384i \(0.841947\pi\)
\(648\) −6.97878e6 1.02360e7i −0.0256481 0.0376188i
\(649\) 2.89903e7 3.63527e7i 0.106052 0.132985i
\(650\) 1.22719e8 1.32260e8i 0.446861 0.481601i
\(651\) −1.08096e8 + 1.87227e8i −0.391800 + 0.678618i
\(652\) −3.71409e8 + 2.14433e8i −1.34002 + 0.773659i
\(653\) 2.26938e8 + 5.17971e7i 0.815019 + 0.186023i 0.609659 0.792664i \(-0.291306\pi\)
0.205360 + 0.978687i \(0.434164\pi\)
\(654\) −1.78062e8 + 4.53695e8i −0.636559 + 1.62193i
\(655\) −1.86250e8 5.74505e7i −0.662784 0.204442i
\(656\) 2.98537e6 + 3.74353e6i 0.0105751 + 0.0132608i
\(657\) 1.56845e7 + 1.17539e6i 0.0553062 + 0.00414462i
\(658\) 1.73753e8 5.35957e7i 0.609894 0.188127i
\(659\) 2.00361e8 + 1.36604e8i 0.700094 + 0.477316i 0.860313 0.509765i \(-0.170268\pi\)
−0.160220 + 0.987081i \(0.551220\pi\)
\(660\) 2.96014e8 + 4.46169e7i 1.02963 + 0.155191i
\(661\) 4.57861e7 + 2.00602e8i 0.158537 + 0.694594i 0.990240 + 0.139374i \(0.0445090\pi\)
−0.831703 + 0.555221i \(0.812634\pi\)
\(662\) 3.62195e8 3.36068e8i 1.24844 1.15839i
\(663\) −4.33046e7 + 3.24523e6i −0.148591 + 0.0111354i
\(664\) 7.72408e7 3.03148e7i 0.263841 0.103550i
\(665\) 1.93717e7 + 1.28523e8i 0.0658723 + 0.437034i
\(666\) −1.27459e8 6.13810e7i −0.431467 0.207784i
\(667\) −1.41955e8 + 2.94772e8i −0.478379 + 0.993365i
\(668\) 6.28768e8 9.47716e7i 2.10941 0.317943i
\(669\) 8.12669e7 + 2.07065e8i 0.271416 + 0.691557i
\(670\) 4.05743e7 + 5.41426e8i 0.134904 + 1.80018i
\(671\) −4.43091e8 4.77539e8i −1.46665 1.58067i
\(672\) −2.27078e8 + 5.18291e7i −0.748286 + 0.170791i
\(673\) 4.34749e7 2.88437e8i 0.142624 0.946251i −0.796984 0.604000i \(-0.793573\pi\)
0.939609 0.342251i \(-0.111189\pi\)
\(674\) −1.20152e8 + 1.76230e8i −0.392419 + 0.575572i
\(675\) −4.81878e7 1.56221e8i −0.156684 0.507959i
\(676\) 1.21876e7 1.62633e8i 0.0394530 0.526463i
\(677\) −1.28191e8 + 1.02229e8i −0.413136 + 0.329465i −0.807902 0.589317i \(-0.799397\pi\)
0.394766 + 0.918782i \(0.370826\pi\)
\(678\) −8.33030e7 + 2.70062e8i −0.267283 + 0.866510i
\(679\) −3.87749e7 1.52180e7i −0.123863 0.0486126i
\(680\) −1.03890e7 + 4.55171e7i −0.0330404 + 0.144760i
\(681\) 615999. + 1.06694e6i 0.00195047 + 0.00337831i
\(682\) 8.63756e8 + 4.98690e8i 2.72294 + 1.57209i
\(683\) −3.44993e7 3.20107e7i −0.108280 0.100469i 0.624175 0.781284i \(-0.285435\pi\)
−0.732455 + 0.680815i \(0.761626\pi\)
\(684\) −1.41728e8 1.13025e8i −0.442883 0.353187i
\(685\) 8.54488e7 5.82580e7i 0.265849 0.181253i
\(686\) 4.66051e8 2.24438e8i 1.44365 0.695223i
\(687\) 6.46624e7i 0.199426i
\(688\) 9.95130e7 + 1.47710e7i 0.305573 + 0.0453570i
\(689\) 7.53086e6 0.0230243
\(690\) 1.13462e8 + 2.35606e8i 0.345384 + 0.717198i
\(691\) −7.61447e7 1.11684e8i −0.230784 0.338498i 0.693326 0.720624i \(-0.256144\pi\)
−0.924110 + 0.382126i \(0.875192\pi\)
\(692\) 8.11143e7 1.01714e8i 0.244782 0.306947i
\(693\) 2.09354e8 2.25630e8i 0.629046 0.677950i
\(694\) 5.11879e8 8.86601e8i 1.53140 2.65247i
\(695\) 2.93812e8 1.69632e8i 0.875215 0.505305i
\(696\) −1.49781e8 3.41865e7i −0.444251 0.101397i
\(697\) −1.97471e6 + 5.03148e6i −0.00583183 + 0.0148593i
\(698\) −7.55671e8 2.33094e8i −2.22211 0.685432i
\(699\) −1.60459e8 2.01209e8i −0.469821 0.589137i
\(700\) 2.57098e8 + 1.92668e7i 0.749557 + 0.0561716i
\(701\) 6.50191e7 2.00557e7i 0.188750 0.0582217i −0.198939 0.980012i \(-0.563750\pi\)
0.387689 + 0.921790i \(0.373273\pi\)
\(702\) 3.66116e8 + 2.49614e8i 1.05830 + 0.721534i
\(703\) 1.15827e8 + 1.74582e7i 0.333384 + 0.0502496i
\(704\) 2.00722e8 + 8.79421e8i 0.575278 + 2.52046i
\(705\) −4.71446e7 + 4.37438e7i −0.134544 + 0.124839i
\(706\) −6.49006e8 + 4.86363e7i −1.84431 + 0.138212i
\(707\) −3.52411e8 + 1.38311e8i −0.997221 + 0.391380i
\(708\) 5.29077e6 + 3.51020e7i 0.0149080 + 0.0989081i
\(709\) −3.28693e7 1.58290e7i −0.0922257 0.0444136i 0.387202 0.921995i \(-0.373442\pi\)
−0.479428 + 0.877581i \(0.659156\pi\)
\(710\) 1.41489e8 2.93805e8i 0.395318 0.820887i
\(711\) −2.25160e8 + 3.39374e7i −0.626445 + 0.0944214i
\(712\) −1.30496e8 3.32498e8i −0.361540 0.921189i
\(713\) 3.87502e7 + 5.17085e8i 0.106907 + 1.42657i
\(714\) −7.09186e7 7.64321e7i −0.194834 0.209982i
\(715\) −3.15622e8 + 7.20387e7i −0.863475 + 0.197082i
\(716\) −3.92955e7 + 2.60709e8i −0.107054 + 0.710259i
\(717\) 1.59976e8 2.34642e8i 0.434008 0.636573i
\(718\) 7.65415e7 + 2.48142e8i 0.206787 + 0.670388i
\(719\) 2.88608e6 3.85121e7i 0.00776465 0.103612i −0.991975 0.126435i \(-0.959646\pi\)
0.999740 + 0.0228231i \(0.00726546\pi\)
\(720\) −3.67740e7 + 2.93263e7i −0.0985244 + 0.0785706i
\(721\) −1.72881e8 + 5.60466e8i −0.461255 + 1.49535i
\(722\) −3.15865e8 1.23968e8i −0.839247 0.329380i
\(723\) −3.43700e7 + 1.50585e8i −0.0909420 + 0.398443i
\(724\) 5.90447e7 + 1.02268e8i 0.155584 + 0.269479i
\(725\) −1.66013e8 9.58478e7i −0.435641 0.251518i
\(726\) 4.40734e8 + 4.08941e8i 1.15177 + 1.06869i
\(727\) −1.59828e8 1.27459e8i −0.415958 0.331716i 0.393046 0.919519i \(-0.371421\pi\)
−0.809004 + 0.587803i \(0.799993\pi\)
\(728\) −1.84628e8 + 1.25877e8i −0.478522 + 0.326251i
\(729\) 2.40190e8 1.15670e8i 0.619973 0.298563i
\(730\) 3.97200e7i 0.102103i
\(731\) 4.17273e7 + 1.05622e8i 0.106824 + 0.270398i
\(732\) 4.97347e8 1.26802
\(733\) −2.57862e8 5.35456e8i −0.654750 1.35960i −0.918658 0.395054i \(-0.870726\pi\)
0.263908 0.964548i \(-0.414988\pi\)
\(734\) −6.65207e8 9.75680e8i −1.68217 2.46728i
\(735\) −4.51174e6 + 5.65755e6i −0.0113627 + 0.0142484i
\(736\) −3.79982e8 + 4.09523e8i −0.953080 + 1.02718i
\(737\) −5.32301e8 + 9.21973e8i −1.32970 + 2.30312i
\(738\) 1.77260e7 1.02341e7i 0.0441004 0.0254614i
\(739\) −3.34686e8 7.63898e7i −0.829285 0.189279i −0.213250 0.976998i \(-0.568405\pi\)
−0.616035 + 0.787719i \(0.711262\pi\)
\(740\) −7.76809e7 + 1.97928e8i −0.191699 + 0.488440i
\(741\) −1.30112e8 4.01343e7i −0.319789 0.0986418i
\(742\) 1.12737e7 + 1.41367e7i 0.0275964 + 0.0346048i
\(743\) 1.45418e8 + 1.08975e7i 0.354528 + 0.0265682i 0.250804 0.968038i \(-0.419305\pi\)
0.103724 + 0.994606i \(0.466924\pi\)
\(744\) −2.32674e8 + 7.17706e7i −0.564976 + 0.174272i
\(745\) 2.90513e8 + 1.98068e8i 0.702581 + 0.479011i
\(746\) 3.33402e7 + 5.02522e6i 0.0803066 + 0.0121043i
\(747\) 2.09985e7 + 9.20006e7i 0.0503764 + 0.220714i
\(748\) −2.09860e8 + 1.94722e8i −0.501447 + 0.465275i
\(749\) 1.73340e8 1.29901e7i 0.412529 0.0309148i
\(750\) −4.15774e8 + 1.63179e8i −0.985538 + 0.386795i
\(751\) 1.13883e8 + 7.55563e8i 0.268868 + 1.78382i 0.561380 + 0.827558i \(0.310271\pi\)
−0.292512 + 0.956262i \(0.594491\pi\)
\(752\) −4.90881e7 2.36396e7i −0.115431 0.0555886i
\(753\) 1.57461e8 3.26971e8i 0.368797 0.765816i
\(754\) 5.13773e8 7.74389e7i 1.19855 0.180653i
\(755\) −1.54883e8 3.94634e8i −0.359883 0.916968i
\(756\) 4.73185e7 + 6.31421e8i 0.109513 + 1.46135i
\(757\) −1.49774e8 1.61418e8i −0.345261 0.372103i 0.536418 0.843953i \(-0.319777\pi\)
−0.881679 + 0.471849i \(0.843587\pi\)
\(758\) 1.05012e9 2.39682e8i 2.41118 0.550336i
\(759\) −7.64220e7 + 5.07027e8i −0.174780 + 1.15959i
\(760\) −8.24633e7 + 1.20952e8i −0.187854 + 0.275531i
\(761\) −1.97363e8 6.39835e8i −0.447828 1.45182i −0.845341 0.534227i \(-0.820603\pi\)
0.397512 0.917597i \(-0.369874\pi\)
\(762\) 5.13845e7 6.85679e8i 0.116136 1.54973i
\(763\) 5.88862e8 4.69602e8i 1.32568 1.05720i