Properties

Label 18.7.d.a.5.2
Level $18$
Weight $7$
Character 18.5
Analytic conductor $4.141$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 18 = 2 \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 18.d (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.14097350516\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(6\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} + \cdots)\)
Defining polynomial: \( x^{12} + 370x^{10} + 51793x^{8} + 3491832x^{6} + 117603792x^{4} + 1832032512x^{2} + 10453017600 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 2^{10}\cdot 3^{10} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 5.2
Root \(7.20150i\) of defining polynomial
Character \(\chi\) \(=\) 18.5
Dual form 18.7.d.a.11.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.89898 + 2.82843i) q^{2} +(-11.1983 + 24.5683i) q^{3} +(16.0000 - 27.7128i) q^{4} +(-39.5602 - 22.8401i) q^{5} +(-14.6295 - 152.033i) q^{6} +(-245.097 - 424.521i) q^{7} +181.019i q^{8} +(-478.198 - 550.243i) q^{9} +O(q^{10})\) \(q+(-4.89898 + 2.82843i) q^{2} +(-11.1983 + 24.5683i) q^{3} +(16.0000 - 27.7128i) q^{4} +(-39.5602 - 22.8401i) q^{5} +(-14.6295 - 152.033i) q^{6} +(-245.097 - 424.521i) q^{7} +181.019i q^{8} +(-478.198 - 550.243i) q^{9} +258.406 q^{10} +(-873.336 + 504.221i) q^{11} +(501.683 + 703.427i) q^{12} +(466.801 - 808.523i) q^{13} +(2401.45 + 1386.48i) q^{14} +(1004.15 - 716.156i) q^{15} +(-512.000 - 886.810i) q^{16} +8090.59i q^{17} +(3899.01 + 1343.08i) q^{18} -7727.36 q^{19} +(-1265.93 + 730.884i) q^{20} +(13174.4 - 1267.72i) q^{21} +(2852.30 - 4940.34i) q^{22} +(-11848.0 - 6840.45i) q^{23} +(-4447.33 - 2027.10i) q^{24} +(-6769.16 - 11724.5i) q^{25} +5281.25i q^{26} +(18873.5 - 5586.73i) q^{27} -15686.2 q^{28} +(-1964.70 + 1134.32i) q^{29} +(-2893.70 + 6348.59i) q^{30} +(-17062.6 + 29553.2i) q^{31} +(5016.55 + 2896.31i) q^{32} +(-2607.99 - 27102.7i) q^{33} +(-22883.6 - 39635.6i) q^{34} +22392.2i q^{35} +(-22900.0 + 4448.33i) q^{36} +92058.0 q^{37} +(37856.2 - 21856.3i) q^{38} +(14636.6 + 20522.5i) q^{39} +(4134.50 - 7161.17i) q^{40} +(-31021.6 - 17910.3i) q^{41} +(-60955.5 + 43473.4i) q^{42} +(34570.9 + 59878.5i) q^{43} +32270.1i q^{44} +(6350.01 + 32689.8i) q^{45} +77390.9 q^{46} +(13211.1 - 7627.46i) q^{47} +(27520.9 - 2648.22i) q^{48} +(-61321.0 + 106211. i) q^{49} +(66323.9 + 38292.1i) q^{50} +(-198772. - 90600.5i) q^{51} +(-14937.6 - 25872.7i) q^{52} -236591. i q^{53} +(-76659.2 + 80751.6i) q^{54} +46065.9 q^{55} +(76846.5 - 44367.4i) q^{56} +(86533.0 - 189848. i) q^{57} +(6416.70 - 11114.0i) q^{58} +(-221890. - 128108. i) q^{59} +(-3780.35 - 39286.2i) q^{60} +(-19919.6 - 34501.8i) q^{61} -193041. i q^{62} +(-116385. + 337868. i) q^{63} -32768.0 q^{64} +(-36933.5 + 21323.6i) q^{65} +(89434.6 + 125399. i) q^{66} +(-160204. + 277482. i) q^{67} +(224213. + 129449. i) q^{68} +(300735. - 214484. i) q^{69} +(-63334.7 - 109699. i) q^{70} +404593. i q^{71} +(99604.7 - 86563.1i) q^{72} +393719. q^{73} +(-450990. + 260379. i) q^{74} +(363854. - 35012.2i) q^{75} +(-123638. + 214147. i) q^{76} +(428105. + 247167. i) q^{77} +(-129751. - 59140.8i) q^{78} +(-449184. - 778010. i) q^{79} +46776.5i q^{80} +(-74094.1 + 526251. i) q^{81} +202632. q^{82} +(154916. - 89441.0i) q^{83} +(175658. - 385383. i) q^{84} +(184790. - 320066. i) q^{85} +(-338724. - 195562. i) q^{86} +(-5867.06 - 60971.8i) q^{87} +(-91273.8 - 158091. i) q^{88} +826458. i q^{89} +(-123569. - 142186. i) q^{90} -457647. q^{91} +(-379136. + 218894. i) q^{92} +(-535000. - 750142. i) q^{93} +(-43147.4 + 74733.5i) q^{94} +(305696. + 176494. i) q^{95} +(-127334. + 90814.4i) q^{96} +(-317981. - 550760. i) q^{97} -693768. i q^{98} +(695072. + 239430. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12 q - 42 q^{3} + 192 q^{4} + 432 q^{5} - 144 q^{6} + 240 q^{7} + 2190 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 12 q - 42 q^{3} + 192 q^{4} + 432 q^{5} - 144 q^{6} + 240 q^{7} + 2190 q^{9} + 378 q^{11} + 384 q^{12} + 1680 q^{13} - 4752 q^{14} - 10872 q^{15} - 6144 q^{16} - 2976 q^{18} - 2820 q^{19} + 13824 q^{20} + 24876 q^{21} - 3600 q^{22} - 76248 q^{23} - 6144 q^{24} + 8094 q^{25} + 127008 q^{27} + 15360 q^{28} + 97092 q^{29} + 34272 q^{30} + 21480 q^{31} - 246258 q^{33} - 27360 q^{34} + 38208 q^{36} - 25536 q^{37} + 97632 q^{38} + 42204 q^{39} - 410562 q^{41} - 222144 q^{42} + 71430 q^{43} + 13716 q^{45} - 135072 q^{46} + 347652 q^{47} + 55296 q^{48} - 135954 q^{49} + 311040 q^{50} + 336402 q^{51} - 53760 q^{52} - 173520 q^{54} + 580392 q^{55} - 152064 q^{56} - 522282 q^{57} + 159264 q^{58} + 369738 q^{59} - 170496 q^{60} + 135744 q^{61} - 103800 q^{63} - 393216 q^{64} - 753840 q^{65} + 909216 q^{66} - 289938 q^{67} + 744768 q^{68} + 2059272 q^{69} + 155952 q^{70} - 374784 q^{72} - 977700 q^{73} - 2197152 q^{74} - 2115342 q^{75} - 45120 q^{76} - 159192 q^{77} - 631488 q^{78} - 764796 q^{79} - 1428282 q^{81} + 1073088 q^{82} + 396900 q^{83} + 1441536 q^{84} + 1619568 q^{85} + 3264624 q^{86} + 3072636 q^{87} + 115200 q^{88} - 1987200 q^{90} + 355584 q^{91} - 2439936 q^{92} - 2526576 q^{93} - 736848 q^{94} - 2089260 q^{95} - 49152 q^{96} - 38874 q^{97} + 4398804 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/18\mathbb{Z}\right)^\times\).

\(n\) \(11\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.89898 + 2.82843i −0.612372 + 0.353553i
\(3\) −11.1983 + 24.5683i −0.414750 + 0.909935i
\(4\) 16.0000 27.7128i 0.250000 0.433013i
\(5\) −39.5602 22.8401i −0.316482 0.182721i 0.333341 0.942806i \(-0.391824\pi\)
−0.649823 + 0.760085i \(0.725157\pi\)
\(6\) −14.6295 152.033i −0.0677291 0.703856i
\(7\) −245.097 424.521i −0.714570 1.23767i −0.963125 0.269053i \(-0.913289\pi\)
0.248556 0.968618i \(-0.420044\pi\)
\(8\) 181.019i 0.353553i
\(9\) −478.198 550.243i −0.655965 0.754792i
\(10\) 258.406 0.258406
\(11\) −873.336 + 504.221i −0.656151 + 0.378829i −0.790809 0.612063i \(-0.790340\pi\)
0.134658 + 0.990892i \(0.457006\pi\)
\(12\) 501.683 + 703.427i 0.290326 + 0.407076i
\(13\) 466.801 808.523i 0.212472 0.368012i −0.740016 0.672590i \(-0.765182\pi\)
0.952488 + 0.304577i \(0.0985152\pi\)
\(14\) 2401.45 + 1386.48i 0.875166 + 0.505277i
\(15\) 1004.15 716.156i 0.297525 0.212194i
\(16\) −512.000 886.810i −0.125000 0.216506i
\(17\) 8090.59i 1.64677i 0.567482 + 0.823386i \(0.307918\pi\)
−0.567482 + 0.823386i \(0.692082\pi\)
\(18\) 3899.01 + 1343.08i 0.668554 + 0.230295i
\(19\) −7727.36 −1.12660 −0.563301 0.826252i \(-0.690469\pi\)
−0.563301 + 0.826252i \(0.690469\pi\)
\(20\) −1265.93 + 730.884i −0.158241 + 0.0913604i
\(21\) 13174.4 1267.72i 1.42257 0.136888i
\(22\) 2852.30 4940.34i 0.267872 0.463969i
\(23\) −11848.0 6840.45i −0.973782 0.562213i −0.0733950 0.997303i \(-0.523383\pi\)
−0.900387 + 0.435090i \(0.856717\pi\)
\(24\) −4447.33 2027.10i −0.321711 0.146636i
\(25\) −6769.16 11724.5i −0.433226 0.750370i
\(26\) 5281.25i 0.300481i
\(27\) 18873.5 5586.73i 0.958873 0.283835i
\(28\) −15686.2 −0.714570
\(29\) −1964.70 + 1134.32i −0.0805570 + 0.0465096i −0.539737 0.841833i \(-0.681476\pi\)
0.459180 + 0.888343i \(0.348143\pi\)
\(30\) −2893.70 + 6348.59i −0.107174 + 0.235133i
\(31\) −17062.6 + 29553.2i −0.572742 + 0.992019i 0.423541 + 0.905877i \(0.360787\pi\)
−0.996283 + 0.0861417i \(0.972546\pi\)
\(32\) 5016.55 + 2896.31i 0.153093 + 0.0883883i
\(33\) −2607.99 27102.7i −0.0725710 0.754174i
\(34\) −22883.6 39635.6i −0.582222 1.00844i
\(35\) 22392.2i 0.522267i
\(36\) −22900.0 + 4448.33i −0.490826 + 0.0953430i
\(37\) 92058.0 1.81743 0.908713 0.417422i \(-0.137066\pi\)
0.908713 + 0.417422i \(0.137066\pi\)
\(38\) 37856.2 21856.3i 0.689900 0.398314i
\(39\) 14636.6 + 20522.5i 0.246745 + 0.345969i
\(40\) 4134.50 7161.17i 0.0646016 0.111893i
\(41\) −31021.6 17910.3i −0.450103 0.259867i 0.257771 0.966206i \(-0.417012\pi\)
−0.707874 + 0.706339i \(0.750345\pi\)
\(42\) −60955.5 + 43473.4i −0.822745 + 0.586780i
\(43\) 34570.9 + 59878.5i 0.434816 + 0.753123i 0.997281 0.0736985i \(-0.0234803\pi\)
−0.562465 + 0.826821i \(0.690147\pi\)
\(44\) 32270.1i 0.378829i
\(45\) 6350.01 + 32689.8i 0.0696847 + 0.358736i
\(46\) 77390.9 0.795090
\(47\) 13211.1 7627.46i 0.127247 0.0734659i −0.435025 0.900418i \(-0.643261\pi\)
0.562272 + 0.826952i \(0.309927\pi\)
\(48\) 27520.9 2648.22i 0.248851 0.0239459i
\(49\) −61321.0 + 106211.i −0.521220 + 0.902779i
\(50\) 66323.9 + 38292.1i 0.530592 + 0.306337i
\(51\) −198772. 90600.5i −1.49846 0.682999i
\(52\) −14937.6 25872.7i −0.106236 0.184006i
\(53\) 236591.i 1.58917i −0.607153 0.794585i \(-0.707688\pi\)
0.607153 0.794585i \(-0.292312\pi\)
\(54\) −76659.2 + 80751.6i −0.486837 + 0.512826i
\(55\) 46065.9 0.276880
\(56\) 76846.5 44367.4i 0.437583 0.252639i
\(57\) 86533.0 189848.i 0.467258 1.02513i
\(58\) 6416.70 11114.0i 0.0328873 0.0569624i
\(59\) −221890. 128108.i −1.08039 0.623766i −0.149392 0.988778i \(-0.547732\pi\)
−0.931003 + 0.365012i \(0.881065\pi\)
\(60\) −3780.35 39286.2i −0.0175016 0.181881i
\(61\) −19919.6 34501.8i −0.0877589 0.152003i 0.818805 0.574072i \(-0.194637\pi\)
−0.906563 + 0.422069i \(0.861304\pi\)
\(62\) 193041.i 0.809980i
\(63\) −116385. + 337868.i −0.465451 + 1.35122i
\(64\) −32768.0 −0.125000
\(65\) −36933.5 + 21323.6i −0.134487 + 0.0776462i
\(66\) 89434.6 + 125399.i 0.311081 + 0.436178i
\(67\) −160204. + 277482.i −0.532660 + 0.922593i 0.466613 + 0.884461i \(0.345474\pi\)
−0.999273 + 0.0381319i \(0.987859\pi\)
\(68\) 224213. + 129449.i 0.713073 + 0.411693i
\(69\) 300735. 214484.i 0.915454 0.652901i
\(70\) −63334.7 109699.i −0.184649 0.319822i
\(71\) 404593.i 1.13043i 0.824944 + 0.565215i \(0.191207\pi\)
−0.824944 + 0.565215i \(0.808793\pi\)
\(72\) 99604.7 86563.1i 0.266859 0.231918i
\(73\) 393719. 1.01209 0.506044 0.862508i \(-0.331107\pi\)
0.506044 + 0.862508i \(0.331107\pi\)
\(74\) −450990. + 260379.i −1.11294 + 0.642557i
\(75\) 363854. 35012.2i 0.862469 0.0829918i
\(76\) −123638. + 214147.i −0.281650 + 0.487833i
\(77\) 428105. + 247167.i 0.937731 + 0.541399i
\(78\) −129751. 59140.8i −0.273418 0.124624i
\(79\) −449184. 778010.i −0.911052 1.57799i −0.812581 0.582848i \(-0.801938\pi\)
−0.0984709 0.995140i \(-0.531395\pi\)
\(80\) 46776.5i 0.0913604i
\(81\) −74094.1 + 526251.i −0.139421 + 0.990233i
\(82\) 202632. 0.367508
\(83\) 154916. 89441.0i 0.270934 0.156424i −0.358378 0.933576i \(-0.616670\pi\)
0.629312 + 0.777153i \(0.283337\pi\)
\(84\) 175658. 385383.i 0.296368 0.650212i
\(85\) 184790. 320066.i 0.300900 0.521173i
\(86\) −338724. 195562.i −0.532538 0.307461i
\(87\) −5867.06 60971.8i −0.00890970 0.0925915i
\(88\) −91273.8 158091.i −0.133936 0.231984i
\(89\) 826458.i 1.17233i 0.810191 + 0.586166i \(0.199364\pi\)
−0.810191 + 0.586166i \(0.800636\pi\)
\(90\) −123569. 142186.i −0.169505 0.195043i
\(91\) −457647. −0.607304
\(92\) −379136. + 218894.i −0.486891 + 0.281107i
\(93\) −535000. 750142.i −0.665128 0.932599i
\(94\) −43147.4 + 74733.5i −0.0519483 + 0.0899770i
\(95\) 305696. + 176494.i 0.356549 + 0.205854i
\(96\) −127334. + 90814.4i −0.143923 + 0.102646i
\(97\) −317981. 550760.i −0.348406 0.603458i 0.637560 0.770401i \(-0.279944\pi\)
−0.985967 + 0.166943i \(0.946610\pi\)
\(98\) 693768.i 0.737116i
\(99\) 695072. + 239430.i 0.716348 + 0.246759i
\(100\) −433226. −0.433226
\(101\) −227301. + 131232.i −0.220616 + 0.127373i −0.606236 0.795285i \(-0.707321\pi\)
0.385619 + 0.922658i \(0.373988\pi\)
\(102\) 1.23003e6 118361.i 1.15909 0.111534i
\(103\) 41238.0 71426.3i 0.0377386 0.0653652i −0.846539 0.532326i \(-0.821318\pi\)
0.884278 + 0.466961i \(0.154651\pi\)
\(104\) 146358. + 84500.0i 0.130112 + 0.0751202i
\(105\) −550137. 250754.i −0.475229 0.216610i
\(106\) 669180. + 1.15905e6i 0.561857 + 0.973164i
\(107\) 1.03624e6i 0.845881i −0.906158 0.422940i \(-0.860998\pi\)
0.906158 0.422940i \(-0.139002\pi\)
\(108\) 147152. 612425.i 0.116814 0.486163i
\(109\) 420018. 0.324331 0.162165 0.986764i \(-0.448152\pi\)
0.162165 + 0.986764i \(0.448152\pi\)
\(110\) −225676. + 130294.i −0.169553 + 0.0978918i
\(111\) −1.03089e6 + 2.26171e6i −0.753777 + 1.65374i
\(112\) −250980. + 434710.i −0.178642 + 0.309418i
\(113\) −1.32478e6 764860.i −0.918136 0.530086i −0.0350964 0.999384i \(-0.511174\pi\)
−0.883040 + 0.469298i \(0.844507\pi\)
\(114\) 113047. + 1.17481e6i 0.0763037 + 0.792965i
\(115\) 312473. + 541220.i 0.205456 + 0.355861i
\(116\) 72596.7i 0.0465096i
\(117\) −668108. + 129780.i −0.417147 + 0.0810309i
\(118\) 1.44938e6 0.882139
\(119\) 3.43463e6 1.98298e6i 2.03816 1.17673i
\(120\) 129638. + 181770.i 0.0750221 + 0.105191i
\(121\) −377303. + 653508.i −0.212978 + 0.368888i
\(122\) 195171. + 112682.i 0.107482 + 0.0620549i
\(123\) 787412. 561581.i 0.423143 0.301785i
\(124\) 546002. + 945703.i 0.286371 + 0.496009i
\(125\) 1.33219e6i 0.682080i
\(126\) −385470. 1.98440e6i −0.192699 0.992012i
\(127\) −949267. −0.463422 −0.231711 0.972785i \(-0.574432\pi\)
−0.231711 + 0.972785i \(0.574432\pi\)
\(128\) 160530. 92681.9i 0.0765466 0.0441942i
\(129\) −1.85824e6 + 178811.i −0.865633 + 0.0832962i
\(130\) 120624. 208928.i 0.0549041 0.0950967i
\(131\) −794197. 458530.i −0.353276 0.203964i 0.312851 0.949802i \(-0.398716\pi\)
−0.666127 + 0.745838i \(0.732049\pi\)
\(132\) −792821. 361369.i −0.344710 0.157119i
\(133\) 1.89396e6 + 3.28043e6i 0.805035 + 1.39436i
\(134\) 1.81250e6i 0.753294i
\(135\) −874242. 210060.i −0.355329 0.0853774i
\(136\) −1.46455e6 −0.582222
\(137\) −413272. + 238603.i −0.160722 + 0.0927926i −0.578204 0.815893i \(-0.696246\pi\)
0.417482 + 0.908685i \(0.362913\pi\)
\(138\) −866643. + 1.90136e6i −0.329764 + 0.723480i
\(139\) 2.04226e6 3.53730e6i 0.760443 1.31713i −0.182180 0.983265i \(-0.558315\pi\)
0.942623 0.333860i \(-0.108351\pi\)
\(140\) 620551. + 358275.i 0.226148 + 0.130567i
\(141\) 39451.5 + 409989.i 0.0140736 + 0.146256i
\(142\) −1.14436e6 1.98209e6i −0.399667 0.692244i
\(143\) 941484.i 0.321962i
\(144\) −243124. + 705795.i −0.0814216 + 0.236369i
\(145\) 103632. 0.0339931
\(146\) −1.92882e6 + 1.11361e6i −0.619775 + 0.357827i
\(147\) −1.92273e6 2.69593e6i −0.605294 0.848704i
\(148\) 1.47293e6 2.55119e6i 0.454356 0.786968i
\(149\) −3.18704e6 1.84004e6i −0.963449 0.556248i −0.0662161 0.997805i \(-0.521093\pi\)
−0.897233 + 0.441558i \(0.854426\pi\)
\(150\) −1.68348e6 + 1.20066e6i −0.498810 + 0.355751i
\(151\) 333742. + 578059.i 0.0969350 + 0.167896i 0.910415 0.413697i \(-0.135763\pi\)
−0.813480 + 0.581594i \(0.802429\pi\)
\(152\) 1.39880e6i 0.398314i
\(153\) 4.45179e6 3.86890e6i 1.24297 1.08022i
\(154\) −2.79637e6 −0.765654
\(155\) 1.35000e6 779422.i 0.362525 0.209304i
\(156\) 802923. 77262.0i 0.211495 0.0203513i
\(157\) 753580. 1.30524e6i 0.194729 0.337280i −0.752083 0.659069i \(-0.770951\pi\)
0.946812 + 0.321788i \(0.104284\pi\)
\(158\) 4.40109e6 + 2.54097e6i 1.11581 + 0.644211i
\(159\) 5.81263e6 + 2.64941e6i 1.44604 + 0.659109i
\(160\) −132304. 229157.i −0.0323008 0.0559466i
\(161\) 6.70631e6i 1.60696i
\(162\) −1.12548e6 2.78766e6i −0.264723 0.655684i
\(163\) −5.90805e6 −1.36421 −0.682105 0.731254i \(-0.738935\pi\)
−0.682105 + 0.731254i \(0.738935\pi\)
\(164\) −992690. + 573130.i −0.225052 + 0.129934i
\(165\) −515857. + 1.13176e6i −0.114836 + 0.251943i
\(166\) −505955. + 876339.i −0.110608 + 0.191579i
\(167\) 2.33113e6 + 1.34588e6i 0.500515 + 0.288972i 0.728926 0.684592i \(-0.240020\pi\)
−0.228411 + 0.973565i \(0.573353\pi\)
\(168\) 229482. + 2.38482e6i 0.0483972 + 0.502954i
\(169\) 1.97760e6 + 3.42530e6i 0.409711 + 0.709641i
\(170\) 2.09066e6i 0.425536i
\(171\) 3.69521e6 + 4.25193e6i 0.739011 + 0.850350i
\(172\) 2.21254e6 0.434816
\(173\) −5.49562e6 + 3.17290e6i −1.06140 + 0.612798i −0.925819 0.377968i \(-0.876623\pi\)
−0.135579 + 0.990767i \(0.543290\pi\)
\(174\) 201197. + 282105.i 0.0381921 + 0.0535504i
\(175\) −3.31821e6 + 5.74730e6i −0.619141 + 1.07238i
\(176\) 894297. + 516322.i 0.164038 + 0.0947072i
\(177\) 5.63219e6 4.01687e6i 1.01568 0.724382i
\(178\) −2.33758e6 4.04880e6i −0.414482 0.717904i
\(179\) 9.31786e6i 1.62464i −0.583212 0.812320i \(-0.698204\pi\)
0.583212 0.812320i \(-0.301796\pi\)
\(180\) 1.00753e6 + 347061.i 0.172759 + 0.0595097i
\(181\) 1.28997e6 0.217542 0.108771 0.994067i \(-0.465308\pi\)
0.108771 + 0.994067i \(0.465308\pi\)
\(182\) 2.24200e6 1.29442e6i 0.371896 0.214714i
\(183\) 1.07071e6 103030.i 0.174711 0.0168117i
\(184\) 1.23825e6 2.14472e6i 0.198772 0.344284i
\(185\) −3.64184e6 2.10262e6i −0.575182 0.332082i
\(186\) 4.74268e6 + 2.16172e6i 0.737029 + 0.335939i
\(187\) −4.07944e6 7.06580e6i −0.623844 1.08053i
\(188\) 488157.i 0.0734659i
\(189\) −6.99753e6 6.64291e6i −1.03648 0.983949i
\(190\) −1.99680e6 −0.291121
\(191\) −6.26560e6 + 3.61745e6i −0.899214 + 0.519161i −0.876945 0.480591i \(-0.840422\pi\)
−0.0222687 + 0.999752i \(0.507089\pi\)
\(192\) 366944. 805053.i 0.0518438 0.113742i
\(193\) 2.33819e6 4.04986e6i 0.325243 0.563337i −0.656319 0.754484i \(-0.727887\pi\)
0.981561 + 0.191147i \(0.0612207\pi\)
\(194\) 3.11557e6 + 1.79877e6i 0.426709 + 0.246361i
\(195\) −110292. 1.14618e6i −0.0148744 0.154578i
\(196\) 1.96227e6 + 3.39875e6i 0.260610 + 0.451389i
\(197\) 2.50022e6i 0.327024i 0.986541 + 0.163512i \(0.0522822\pi\)
−0.986541 + 0.163512i \(0.947718\pi\)
\(198\) −4.08235e6 + 792999.i −0.525914 + 0.102159i
\(199\) −3.28474e6 −0.416814 −0.208407 0.978042i \(-0.566828\pi\)
−0.208407 + 0.978042i \(0.566828\pi\)
\(200\) 2.12237e6 1.22535e6i 0.265296 0.153169i
\(201\) −5.02324e6 7.04325e6i −0.618580 0.867332i
\(202\) 742362. 1.28581e6i 0.0900662 0.155999i
\(203\) 963088. + 556039.i 0.115127 + 0.0664687i
\(204\) −5.69114e6 + 4.05891e6i −0.670361 + 0.478100i
\(205\) 818147. + 1.41707e6i 0.0949663 + 0.164486i
\(206\) 466555.i 0.0533704i
\(207\) 1.90178e6 + 9.79038e6i 0.214413 + 1.10379i
\(208\) −956008. −0.106236
\(209\) 6.74859e6 3.89630e6i 0.739220 0.426789i
\(210\) 3.40435e6 327587.i 0.367601 0.0353727i
\(211\) −834440. + 1.44529e6i −0.0888276 + 0.153854i −0.907016 0.421097i \(-0.861645\pi\)
0.818188 + 0.574950i \(0.194979\pi\)
\(212\) −6.55660e6 3.78545e6i −0.688131 0.397293i
\(213\) −9.94014e6 4.53074e6i −1.02862 0.468846i
\(214\) 2.93093e6 + 5.07652e6i 0.299064 + 0.517994i
\(215\) 3.15841e6i 0.317800i
\(216\) 1.01131e6 + 3.41647e6i 0.100351 + 0.339013i
\(217\) 1.67280e7 1.63706
\(218\) −2.05766e6 + 1.18799e6i −0.198611 + 0.114668i
\(219\) −4.40897e6 + 9.67300e6i −0.419764 + 0.920934i
\(220\) 737054. 1.27661e6i 0.0692199 0.119892i
\(221\) 6.54143e6 + 3.77669e6i 0.606032 + 0.349893i
\(222\) −1.34676e6 1.39958e7i −0.123093 1.27920i
\(223\) 5.65363e6 + 9.79237e6i 0.509815 + 0.883025i 0.999935 + 0.0113705i \(0.00361941\pi\)
−0.490121 + 0.871655i \(0.663047\pi\)
\(224\) 2.83951e6i 0.252639i
\(225\) −3.21434e6 + 9.33133e6i −0.282192 + 0.819211i
\(226\) 8.65340e6 0.749655
\(227\) 1.32731e7 7.66322e6i 1.13473 0.655139i 0.189613 0.981859i \(-0.439277\pi\)
0.945121 + 0.326720i \(0.105943\pi\)
\(228\) −3.87669e6 5.43564e6i −0.327082 0.458612i
\(229\) −635525. + 1.10076e6i −0.0529208 + 0.0916615i −0.891272 0.453469i \(-0.850186\pi\)
0.838351 + 0.545130i \(0.183520\pi\)
\(230\) −3.06160e6 1.76762e6i −0.251632 0.145280i
\(231\) −1.08665e7 + 7.74996e6i −0.881562 + 0.628729i
\(232\) −205334. 355650.i −0.0164436 0.0284812i
\(233\) 1.45867e6i 0.115316i −0.998336 0.0576578i \(-0.981637\pi\)
0.998336 0.0576578i \(-0.0183632\pi\)
\(234\) 2.90597e6 2.52548e6i 0.226800 0.197105i
\(235\) −696848. −0.0536951
\(236\) −7.10049e6 + 4.09947e6i −0.540197 + 0.311883i
\(237\) 2.41444e7 2.32332e6i 1.81373 0.174527i
\(238\) −1.12174e7 + 1.94292e7i −0.832076 + 1.44120i
\(239\) 4.35188e6 + 2.51256e6i 0.318774 + 0.184044i 0.650846 0.759210i \(-0.274414\pi\)
−0.332072 + 0.943254i \(0.607748\pi\)
\(240\) −1.14922e6 523816.i −0.0831321 0.0378918i
\(241\) −2.56745e6 4.44695e6i −0.183421 0.317695i 0.759622 0.650365i \(-0.225384\pi\)
−0.943043 + 0.332670i \(0.892051\pi\)
\(242\) 4.26869e6i 0.301196i
\(243\) −1.20993e7 7.71345e6i −0.843223 0.537564i
\(244\) −1.27485e6 −0.0877589
\(245\) 4.85174e6 2.80116e6i 0.329913 0.190475i
\(246\) −2.26912e6 + 4.97831e6i −0.152424 + 0.334408i
\(247\) −3.60714e6 + 6.24775e6i −0.239371 + 0.414603i
\(248\) −5.34971e6 3.08865e6i −0.350732 0.202495i
\(249\) 462616. + 4.80761e6i 0.0299656 + 0.311409i
\(250\) −3.76799e6 6.52636e6i −0.241152 0.417687i
\(251\) 1.72705e6i 0.109216i 0.998508 + 0.0546078i \(0.0173909\pi\)
−0.998508 + 0.0546078i \(0.982609\pi\)
\(252\) 7.50113e6 + 8.63124e6i 0.468732 + 0.539351i
\(253\) 1.37964e7 0.851930
\(254\) 4.65044e6 2.68493e6i 0.283787 0.163845i
\(255\) 5.79413e6 + 8.12414e6i 0.349436 + 0.489956i
\(256\) −524288. + 908093.i −0.0312500 + 0.0541266i
\(257\) −1.14470e7 6.60890e6i −0.674358 0.389341i 0.123368 0.992361i \(-0.460631\pi\)
−0.797726 + 0.603020i \(0.793964\pi\)
\(258\) 8.59775e6 6.13190e6i 0.500640 0.357056i
\(259\) −2.25632e7 3.90806e7i −1.29868 2.24937i
\(260\) 1.36471e6i 0.0776462i
\(261\) 1.56367e6 + 538634.i 0.0879476 + 0.0302951i
\(262\) 5.18767e6 0.288449
\(263\) −1.03590e7 + 5.98077e6i −0.569444 + 0.328768i −0.756927 0.653499i \(-0.773300\pi\)
0.187483 + 0.982268i \(0.439967\pi\)
\(264\) 4.90612e6 472096.i 0.266641 0.0256577i
\(265\) −5.40376e6 + 9.35959e6i −0.290375 + 0.502944i
\(266\) −1.85569e7 1.07138e7i −0.985963 0.569246i
\(267\) −2.03046e7 9.25489e6i −1.06675 0.486225i
\(268\) 5.12654e6 + 8.87942e6i 0.266330 + 0.461297i
\(269\) 210238.i 0.0108007i 0.999985 + 0.00540037i \(0.00171900\pi\)
−0.999985 + 0.00540037i \(0.998281\pi\)
\(270\) 4.87703e6 1.44365e6i 0.247779 0.0733448i
\(271\) −1.71422e6 −0.0861309 −0.0430654 0.999072i \(-0.513712\pi\)
−0.0430654 + 0.999072i \(0.513712\pi\)
\(272\) 7.17481e6 4.14238e6i 0.356536 0.205846i
\(273\) 5.12485e6 1.12436e7i 0.251880 0.552608i
\(274\) 1.34974e6 2.33782e6i 0.0656143 0.113647i
\(275\) 1.18235e7 + 6.82630e6i 0.568523 + 0.328237i
\(276\) −1.13219e6 1.17660e7i −0.0538507 0.559628i
\(277\) −7.34449e6 1.27210e7i −0.345559 0.598526i 0.639896 0.768461i \(-0.278977\pi\)
−0.985455 + 0.169936i \(0.945644\pi\)
\(278\) 2.31055e7i 1.07543i
\(279\) 2.44208e7 4.74374e6i 1.12447 0.218428i
\(280\) −4.05342e6 −0.184649
\(281\) −1.13328e7 + 6.54299e6i −0.510761 + 0.294888i −0.733147 0.680071i \(-0.761949\pi\)
0.222385 + 0.974959i \(0.428616\pi\)
\(282\) −1.35290e6 1.89694e6i −0.0603277 0.0845876i
\(283\) −1.52840e6 + 2.64726e6i −0.0674338 + 0.116799i −0.897771 0.440463i \(-0.854814\pi\)
0.830337 + 0.557261i \(0.188148\pi\)
\(284\) 1.12124e7 + 6.47349e6i 0.489490 + 0.282607i
\(285\) −7.75941e6 + 5.53400e6i −0.335192 + 0.239059i
\(286\) −2.66292e6 4.61231e6i −0.113831 0.197161i
\(287\) 1.75591e7i 0.742773i
\(288\) −805233. 4.14533e6i −0.0337089 0.173533i
\(289\) −4.13200e7 −1.71186
\(290\) −507692. + 293116.i −0.0208164 + 0.0120184i
\(291\) 1.70920e7 1.64470e6i 0.693609 0.0667431i
\(292\) 6.29951e6 1.09111e7i 0.253022 0.438247i
\(293\) 2.54752e7 + 1.47081e7i 1.01278 + 0.584729i 0.912005 0.410180i \(-0.134534\pi\)
0.100776 + 0.994909i \(0.467867\pi\)
\(294\) 1.70447e7 + 7.76899e6i 0.670728 + 0.305719i
\(295\) 5.85202e6 + 1.01360e7i 0.227950 + 0.394821i
\(296\) 1.66643e7i 0.642557i
\(297\) −1.36660e7 + 1.43955e7i −0.521640 + 0.549487i
\(298\) 2.08177e7 0.786653
\(299\) −1.10613e7 + 6.38626e6i −0.413803 + 0.238909i
\(300\) 4.85138e6 1.06436e7i 0.179681 0.394208i
\(301\) 1.69465e7 2.93521e7i 0.621412 1.07632i
\(302\) −3.27000e6 1.88793e6i −0.118721 0.0685434i
\(303\) −678774. 7.05396e6i −0.0244004 0.253574i
\(304\) 3.95641e6 + 6.85270e6i 0.140825 + 0.243916i
\(305\) 1.81986e6i 0.0641415i
\(306\) −1.08663e7 + 3.15452e7i −0.379243 + 1.10096i
\(307\) 3.82307e7 1.32129 0.660643 0.750700i \(-0.270284\pi\)
0.660643 + 0.750700i \(0.270284\pi\)
\(308\) 1.36994e7 7.90933e6i 0.468865 0.270700i
\(309\) 1.29303e6 + 1.81300e6i 0.0438260 + 0.0614499i
\(310\) −4.40908e6 + 7.63674e6i −0.148000 + 0.256344i
\(311\) −638095. 368404.i −0.0212131 0.0122474i 0.489356 0.872084i \(-0.337232\pi\)
−0.510569 + 0.859837i \(0.670565\pi\)
\(312\) −3.71498e6 + 2.64952e6i −0.122319 + 0.0872374i
\(313\) 7.12766e6 + 1.23455e7i 0.232442 + 0.402601i 0.958526 0.285005i \(-0.0919952\pi\)
−0.726084 + 0.687605i \(0.758662\pi\)
\(314\) 8.52579e6i 0.275388i
\(315\) 1.23212e7 1.07079e7i 0.394203 0.342589i
\(316\) −2.87478e7 −0.911052
\(317\) −4.59946e7 + 2.65550e7i −1.44387 + 0.833621i −0.998105 0.0615279i \(-0.980403\pi\)
−0.445768 + 0.895149i \(0.647069\pi\)
\(318\) −3.59696e7 + 3.46120e6i −1.11855 + 0.107633i
\(319\) 1.14390e6 1.98129e6i 0.0352383 0.0610346i
\(320\) 1.29631e6 + 748425.i 0.0395602 + 0.0228401i
\(321\) 2.54586e7 + 1.16041e7i 0.769697 + 0.350829i
\(322\) −1.89683e7 3.28541e7i −0.568147 0.984060i
\(323\) 6.25189e7i 1.85526i
\(324\) 1.33984e7 + 1.04734e7i 0.393928 + 0.307929i
\(325\) −1.26394e7 −0.368194
\(326\) 2.89434e7 1.67105e7i 0.835405 0.482321i
\(327\) −4.70347e6 + 1.03191e7i −0.134516 + 0.295120i
\(328\) 3.24211e6 5.61550e6i 0.0918769 0.159135i
\(329\) −6.47603e6 3.73894e6i −0.181853 0.104993i
\(330\) −673920. 7.00352e6i −0.0187528 0.194883i
\(331\) 2.54781e7 + 4.41293e7i 0.702559 + 1.21687i 0.967565 + 0.252621i \(0.0812927\pi\)
−0.265006 + 0.964247i \(0.585374\pi\)
\(332\) 5.72422e6i 0.156424i
\(333\) −4.40220e7 5.06543e7i −1.19217 1.37178i
\(334\) −1.52269e7 −0.408669
\(335\) 1.26754e7 7.31817e6i 0.337154 0.194656i
\(336\) −7.86952e6 1.10341e7i −0.207458 0.290884i
\(337\) −2.71146e7 + 4.69638e7i −0.708457 + 1.22708i 0.256973 + 0.966419i \(0.417275\pi\)
−0.965430 + 0.260664i \(0.916058\pi\)
\(338\) −1.93764e7 1.11870e7i −0.501792 0.289710i
\(339\) 3.36265e7 2.39823e7i 0.863142 0.615591i
\(340\) −5.91328e6 1.02421e7i −0.150450 0.260587i
\(341\) 3.44132e7i 0.867885i
\(342\) −3.01290e7 1.03785e7i −0.753194 0.259451i
\(343\) 2.44751e6 0.0606517
\(344\) −1.08392e7 + 6.25800e6i −0.266269 + 0.153730i
\(345\) −1.67960e7 + 1.61621e6i −0.409023 + 0.0393586i
\(346\) 1.79486e7 3.10879e7i 0.433314 0.750522i
\(347\) −1.79173e7 1.03446e7i −0.428829 0.247584i 0.270019 0.962855i \(-0.412970\pi\)
−0.698848 + 0.715271i \(0.746303\pi\)
\(348\) −1.78357e6 812956.i −0.0423207 0.0192899i
\(349\) 1.72770e7 + 2.99246e7i 0.406435 + 0.703967i 0.994487 0.104857i \(-0.0334383\pi\)
−0.588052 + 0.808823i \(0.700105\pi\)
\(350\) 3.75412e7i 0.875597i
\(351\) 4.29317e6 1.78675e7i 0.0992788 0.413184i
\(352\) −5.84152e6 −0.133936
\(353\) 6.98774e7 4.03437e7i 1.58859 0.917174i 0.595053 0.803687i \(-0.297131\pi\)
0.993539 0.113488i \(-0.0362022\pi\)
\(354\) −1.62306e7 + 3.56088e7i −0.365867 + 0.802689i
\(355\) 9.24095e6 1.60058e7i 0.206553 0.357760i
\(356\) 2.29035e7 + 1.32233e7i 0.507635 + 0.293083i
\(357\) 1.02566e7 + 1.06589e8i 0.225423 + 2.34264i
\(358\) 2.63549e7 + 4.56480e7i 0.574397 + 0.994885i
\(359\) 1.64156e7i 0.354792i −0.984140 0.177396i \(-0.943233\pi\)
0.984140 0.177396i \(-0.0567674\pi\)
\(360\) −5.91749e6 + 1.14948e6i −0.126832 + 0.0246372i
\(361\) 1.26662e7 0.269231
\(362\) −6.31954e6 + 3.64859e6i −0.133217 + 0.0769129i
\(363\) −1.18304e7 1.65878e7i −0.247332 0.346792i
\(364\) −7.32235e6 + 1.26827e7i −0.151826 + 0.262970i
\(365\) −1.55756e7 8.99259e6i −0.320307 0.184930i
\(366\) −4.95399e6 + 3.53318e6i −0.101044 + 0.0720646i
\(367\) 2.52891e7 + 4.38021e7i 0.511606 + 0.886128i 0.999909 + 0.0134538i \(0.00428259\pi\)
−0.488303 + 0.872674i \(0.662384\pi\)
\(368\) 1.40092e7i 0.281107i
\(369\) 4.97943e6 + 2.56341e7i 0.0991061 + 0.510198i
\(370\) 2.37884e7 0.469634
\(371\) −1.00438e8 + 5.79878e7i −1.96687 + 1.13557i
\(372\) −2.93486e7 + 2.82409e6i −0.570109 + 0.0548592i
\(373\) −7.01064e6 + 1.21428e7i −0.135092 + 0.233987i −0.925633 0.378423i \(-0.876466\pi\)
0.790540 + 0.612410i \(0.209800\pi\)
\(374\) 3.99702e7 + 2.30768e7i 0.764050 + 0.441124i
\(375\) −3.27295e7 1.49182e7i −0.620648 0.282893i
\(376\) 1.38072e6 + 2.39147e6i 0.0259741 + 0.0449885i
\(377\) 2.11801e6i 0.0395280i
\(378\) 5.30697e7 + 1.27515e7i 0.982588 + 0.236094i
\(379\) −1.76705e7 −0.324587 −0.162294 0.986743i \(-0.551889\pi\)
−0.162294 + 0.986743i \(0.551889\pi\)
\(380\) 9.78228e6 5.64780e6i 0.178275 0.102927i
\(381\) 1.06301e7 2.33218e7i 0.192205 0.421684i
\(382\) 2.04634e7 3.54436e7i 0.367102 0.635840i
\(383\) 7.86852e7 + 4.54289e7i 1.40054 + 0.808605i 0.994448 0.105226i \(-0.0335565\pi\)
0.406096 + 0.913830i \(0.366890\pi\)
\(384\) 479379. + 4.98181e6i 0.00846614 + 0.0879820i
\(385\) −1.12906e7 1.95559e7i −0.197850 0.342686i
\(386\) 2.64536e7i 0.459962i
\(387\) 1.64160e7 4.76562e7i 0.283227 0.822217i
\(388\) −2.03508e7 −0.348406
\(389\) 7.01566e7 4.05049e7i 1.19184 0.688112i 0.233120 0.972448i \(-0.425106\pi\)
0.958725 + 0.284336i \(0.0917731\pi\)
\(390\) 3.78220e6 + 5.30315e6i 0.0637604 + 0.0894006i
\(391\) 5.53433e7 9.58573e7i 0.925837 1.60360i
\(392\) −1.92263e7 1.11003e7i −0.319181 0.184279i
\(393\) 2.01589e7 1.43773e7i 0.332115 0.236864i
\(394\) −7.07169e6 1.22485e7i −0.115620 0.200260i
\(395\) 4.10377e7i 0.665873i
\(396\) 1.77564e7 1.54315e7i 0.285937 0.248498i
\(397\) −5.78058e7 −0.923846 −0.461923 0.886920i \(-0.652840\pi\)
−0.461923 + 0.886920i \(0.652840\pi\)
\(398\) 1.60919e7 9.29066e6i 0.255245 0.147366i
\(399\) −1.01803e8 + 9.79612e6i −1.60267 + 0.154218i
\(400\) −6.93162e6 + 1.20059e7i −0.108307 + 0.187592i
\(401\) −1.06341e8 6.13960e7i −1.64918 0.952153i −0.977400 0.211400i \(-0.932198\pi\)
−0.671778 0.740753i \(-0.734469\pi\)
\(402\) 4.45301e7 + 2.02969e7i 0.685449 + 0.312429i
\(403\) 1.59296e7 + 2.75910e7i 0.243383 + 0.421552i
\(404\) 8.39887e6i 0.127373i
\(405\) 1.49508e7 1.91263e7i 0.225061 0.287916i
\(406\) −6.29086e6 −0.0940009
\(407\) −8.03976e7 + 4.64176e7i −1.19250 + 0.688493i
\(408\) 1.64004e7 3.59815e7i 0.241477 0.529784i
\(409\) 9.03706e6 1.56527e7i 0.132086 0.228780i −0.792394 0.610009i \(-0.791166\pi\)
0.924481 + 0.381229i \(0.124499\pi\)
\(410\) −8.01617e6 4.62814e6i −0.116309 0.0671513i
\(411\) −1.23413e6 1.28253e7i −0.0177760 0.184732i
\(412\) −1.31962e6 2.28564e6i −0.0188693 0.0326826i
\(413\) 1.25596e8i 1.78290i
\(414\) −3.70082e7 4.25838e7i −0.521551 0.600127i
\(415\) −8.17137e6 −0.114327
\(416\) 4.68347e6 2.70400e6i 0.0650560 0.0375601i
\(417\) 6.40355e7 + 8.97863e7i 0.883105 + 1.23823i
\(418\) −2.20408e7 + 3.81758e7i −0.301785 + 0.522708i
\(419\) −8.72440e6 5.03704e6i −0.118602 0.0684751i 0.439525 0.898230i \(-0.355147\pi\)
−0.558128 + 0.829755i \(0.688480\pi\)
\(420\) −1.57513e7 + 1.12338e7i −0.212602 + 0.151628i
\(421\) −7.04278e7 1.21985e8i −0.943839 1.63478i −0.758059 0.652186i \(-0.773852\pi\)
−0.185780 0.982591i \(-0.559481\pi\)
\(422\) 9.44061e6i 0.125621i
\(423\) −1.05145e7 3.62190e6i −0.138921 0.0478537i
\(424\) 4.28275e7 0.561857
\(425\) 9.48583e7 5.47665e7i 1.23569 0.713424i
\(426\) 6.15114e7 5.91899e6i 0.795659 0.0765630i
\(427\) −9.76448e6 + 1.69126e7i −0.125420 + 0.217233i
\(428\) −2.87171e7 1.65798e7i −0.366277 0.211470i
\(429\) −2.31306e7 1.05430e7i −0.292965 0.133534i
\(430\) 8.93333e6 + 1.54730e7i 0.112359 + 0.194612i
\(431\) 6.81157e6i 0.0850777i −0.999095 0.0425388i \(-0.986455\pi\)
0.999095 0.0425388i \(-0.0135446\pi\)
\(432\) −1.46176e7 1.38768e7i −0.181311 0.172123i
\(433\) −1.17807e8 −1.45113 −0.725566 0.688153i \(-0.758422\pi\)
−0.725566 + 0.688153i \(0.758422\pi\)
\(434\) −8.19500e7 + 4.73138e7i −1.00249 + 0.578787i
\(435\) −1.16050e6 + 2.54606e6i −0.0140986 + 0.0309315i
\(436\) 6.72029e6 1.16399e7i 0.0810827 0.140439i
\(437\) 9.15538e7 + 5.28586e7i 1.09706 + 0.633391i
\(438\) −5.75991e6 5.98583e7i −0.0685478 0.712364i
\(439\) −3.55152e7 6.15142e7i −0.419780 0.727079i 0.576137 0.817353i \(-0.304559\pi\)
−0.995917 + 0.0902733i \(0.971226\pi\)
\(440\) 8.33881e6i 0.0978918i
\(441\) 8.77655e7 1.70485e7i 1.02331 0.198779i
\(442\) −4.27284e7 −0.494823
\(443\) 1.83090e7 1.05707e7i 0.210597 0.121588i −0.390992 0.920394i \(-0.627868\pi\)
0.601589 + 0.798806i \(0.294535\pi\)
\(444\) 4.61840e7 + 6.47561e7i 0.527646 + 0.739830i
\(445\) 1.88764e7 3.26949e7i 0.214210 0.371022i
\(446\) −5.53940e7 3.19817e7i −0.624393 0.360493i
\(447\) 8.08958e7 5.76948e7i 0.905740 0.645972i
\(448\) 8.03135e6 + 1.39107e7i 0.0893212 + 0.154709i
\(449\) 5.48751e7i 0.606228i −0.952954 0.303114i \(-0.901974\pi\)
0.952954 0.303114i \(-0.0980263\pi\)
\(450\) −1.06460e7 5.48055e7i −0.116828 0.601432i
\(451\) 3.61230e7 0.393780
\(452\) −4.23928e7 + 2.44755e7i −0.459068 + 0.265043i
\(453\) −1.79392e7 + 1.72622e6i −0.192979 + 0.0185695i
\(454\) −4.33497e7 + 7.50839e7i −0.463253 + 0.802378i
\(455\) 1.81046e7 + 1.04527e7i 0.192201 + 0.110967i
\(456\) 3.43661e7 + 1.56641e7i 0.362440 + 0.165201i
\(457\) 9.82826e6 + 1.70230e7i 0.102974 + 0.178356i 0.912909 0.408164i \(-0.133831\pi\)
−0.809935 + 0.586520i \(0.800497\pi\)
\(458\) 7.19015e6i 0.0748413i
\(459\) 4.51999e7 + 1.52698e8i 0.467412 + 1.57904i
\(460\) 1.99983e7 0.205456
\(461\) 4.97070e7 2.86983e7i 0.507358 0.292923i −0.224389 0.974500i \(-0.572039\pi\)
0.731747 + 0.681576i \(0.238705\pi\)
\(462\) 3.13145e7 6.87019e7i 0.317555 0.696695i
\(463\) −5.06076e7 + 8.76549e7i −0.509885 + 0.883147i 0.490049 + 0.871695i \(0.336979\pi\)
−0.999934 + 0.0114526i \(0.996354\pi\)
\(464\) 2.01186e6 + 1.16155e6i 0.0201392 + 0.0116274i
\(465\) 4.03141e6 + 4.18953e7i 0.0400957 + 0.416683i
\(466\) 4.12573e6 + 7.14597e6i 0.0407702 + 0.0706161i
\(467\) 1.26426e8i 1.24133i 0.784077 + 0.620663i \(0.213137\pi\)
−0.784077 + 0.620663i \(0.786863\pi\)
\(468\) −7.09315e6 + 2.05916e7i −0.0691993 + 0.200888i
\(469\) 1.57063e8 1.52249
\(470\) 3.41384e6 1.97098e6i 0.0328814 0.0189841i
\(471\) 2.36287e7 + 3.31306e7i 0.226140 + 0.317078i
\(472\) 2.31901e7 4.01665e7i 0.220535 0.381977i
\(473\) −6.03840e7 3.48627e7i −0.570609 0.329441i
\(474\) −1.11712e8 + 7.96726e7i −1.04897 + 0.748125i
\(475\) 5.23077e7 + 9.05997e7i 0.488073 + 0.845368i
\(476\) 1.26911e8i 1.17673i
\(477\) −1.30183e8 + 1.13137e8i −1.19949 + 1.04244i
\(478\) −2.84264e7 −0.260278
\(479\) −5.77665e7 + 3.33515e7i −0.525617 + 0.303465i −0.739230 0.673453i \(-0.764810\pi\)
0.213613 + 0.976918i \(0.431477\pi\)
\(480\) 7.11157e6 684317.i 0.0643046 0.00618776i
\(481\) 4.29728e7 7.44310e7i 0.386152 0.668835i
\(482\) 2.51557e7 + 1.45237e7i 0.224644 + 0.129699i
\(483\) −1.64762e8 7.50989e7i −1.46223 0.666488i
\(484\) 1.20737e7 + 2.09122e7i 0.106489 + 0.184444i
\(485\) 2.90509e7i 0.254645i
\(486\) 8.10913e7 + 3.56595e6i 0.706424 + 0.0310647i
\(487\) 6.97650e7 0.604019 0.302009 0.953305i \(-0.402343\pi\)
0.302009 + 0.953305i \(0.402343\pi\)
\(488\) 6.24549e6 3.60583e6i 0.0537411 0.0310275i
\(489\) 6.61599e7 1.45151e8i 0.565807 1.24134i
\(490\) −1.58457e7 + 2.74456e7i −0.134686 + 0.233284i
\(491\) 9.22974e7 + 5.32879e7i 0.779731 + 0.450178i 0.836335 0.548219i \(-0.184694\pi\)
−0.0566037 + 0.998397i \(0.518027\pi\)
\(492\) −2.96440e6 3.08067e7i −0.0248910 0.258672i
\(493\) −9.17734e6 1.58956e7i −0.0765907 0.132659i
\(494\) 4.08101e7i 0.338522i
\(495\) −2.20286e7 2.53474e7i −0.181623 0.208986i
\(496\) 3.49441e7 0.286371
\(497\) 1.71758e8 9.91647e7i 1.39910 0.807770i
\(498\) −1.58643e7 2.22439e7i −0.128450 0.180104i
\(499\) −6.75572e7 + 1.17012e8i −0.543713 + 0.941739i 0.454974 + 0.890505i \(0.349649\pi\)
−0.998687 + 0.0512338i \(0.983685\pi\)
\(500\) 3.69186e7 + 2.13150e7i 0.295349 + 0.170520i
\(501\) −5.91705e7 + 4.22003e7i −0.470535 + 0.335585i
\(502\) −4.88485e6 8.46080e6i −0.0386136 0.0668806i
\(503\) 2.31473e8i 1.81885i −0.415869 0.909425i \(-0.636523\pi\)
0.415869 0.909425i \(-0.363477\pi\)
\(504\) −6.11607e7 2.10679e7i −0.477728 0.164562i
\(505\) 1.19894e7 0.0930947
\(506\) −6.75883e7 + 3.90221e7i −0.521699 + 0.301203i
\(507\) −1.06299e8 + 1.02287e7i −0.815655 + 0.0784871i
\(508\) −1.51883e7 + 2.63068e7i −0.115856 + 0.200668i
\(509\) −1.13698e8 6.56433e7i −0.862179 0.497780i 0.00256205 0.999997i \(-0.499184\pi\)
−0.864742 + 0.502217i \(0.832518\pi\)
\(510\) −5.13638e7 2.34117e7i −0.387210 0.176491i
\(511\) −9.64996e7 1.67142e8i −0.723207 1.25263i
\(512\) 5.93164e6i 0.0441942i
\(513\) −1.45842e8 + 4.31707e7i −1.08027 + 0.319769i
\(514\) 7.47712e7 0.550611
\(515\) −3.26277e6 + 1.88376e6i −0.0238872 + 0.0137913i
\(516\) −2.47765e7 + 5.43581e7i −0.180340 + 0.395654i
\(517\) −7.69185e6 + 1.33227e7i −0.0556620 + 0.0964094i
\(518\) 2.21073e8 + 1.27637e8i 1.59055 + 0.918303i
\(519\) −1.64112e7 1.70549e8i −0.117392 1.21996i
\(520\) −3.85998e6 6.68568e6i −0.0274521 0.0475484i
\(521\) 1.14057e8i 0.806509i 0.915088 + 0.403255i \(0.132121\pi\)
−0.915088 + 0.403255i \(0.867879\pi\)
\(522\) −9.18388e6 + 1.78397e6i −0.0645676 + 0.0125423i
\(523\) 6.52785e7 0.456315 0.228158 0.973624i \(-0.426730\pi\)
0.228158 + 0.973624i \(0.426730\pi\)
\(524\) −2.54143e7 + 1.46730e7i −0.176638 + 0.101982i
\(525\) −1.04043e8 1.45882e8i −0.719010 1.00815i
\(526\) 3.38324e7 5.85994e7i 0.232474 0.402657i
\(527\) −2.39103e8 1.38046e8i −1.63363 0.943176i
\(528\) −2.26997e7 + 1.61894e7i −0.154212 + 0.109984i
\(529\) 1.95656e7 + 3.38886e7i 0.132168 + 0.228922i
\(530\) 6.11366e7i 0.410652i
\(531\) 3.56168e7 + 1.83355e8i 0.237887 + 1.22464i
\(532\) 1.21213e8 0.805035
\(533\) −2.89618e7 + 1.67211e7i −0.191269 + 0.110429i
\(534\) 1.25649e8 1.20907e7i 0.825153 0.0794011i
\(535\) −2.36678e7 + 4.09939e7i −0.154560 + 0.267706i
\(536\) −5.02296e7 2.90001e7i −0.326186 0.188324i
\(537\) 2.28924e8 + 1.04344e8i 1.47832 + 0.673820i
\(538\) −594642. 1.02995e6i −0.00381864 0.00661408i
\(539\) 1.23677e8i 0.789812i
\(540\) −1.98092e7 + 2.08667e7i −0.125802 + 0.132517i
\(541\) 1.71142e8 1.08085 0.540423 0.841394i \(-0.318264\pi\)
0.540423 + 0.841394i \(0.318264\pi\)
\(542\) 8.39793e6 4.84855e6i 0.0527442 0.0304519i
\(543\) −1.44454e7 + 3.16923e7i −0.0902258 + 0.197950i
\(544\) −2.34328e7 + 4.05869e7i −0.145555 + 0.252109i
\(545\) −1.66160e7 9.59326e6i −0.102645 0.0592620i
\(546\) 6.69514e6 + 6.95773e7i 0.0411322 + 0.427455i
\(547\) −2.90478e7 5.03122e7i −0.177481 0.307405i 0.763536 0.645765i \(-0.223461\pi\)
−0.941017 + 0.338359i \(0.890128\pi\)
\(548\) 1.52706e7i 0.0927926i
\(549\) −9.45884e6 + 2.74593e7i −0.0571638 + 0.165948i
\(550\) −7.72308e7 −0.464197
\(551\) 1.51820e7 8.76532e6i 0.0907557 0.0523978i
\(552\) 3.88257e7 + 5.44388e7i 0.230835 + 0.323662i
\(553\) −2.20188e8 + 3.81376e8i −1.30202 + 2.25517i
\(554\) 7.19610e7 + 4.15467e7i 0.423221 + 0.244347i
\(555\) 9.24398e7 6.59280e7i 0.540730 0.385648i
\(556\) −6.53523e7 1.13193e8i −0.380221 0.658563i
\(557\) 1.36639e8i 0.790696i 0.918532 + 0.395348i \(0.129376\pi\)
−0.918532 + 0.395348i \(0.870624\pi\)
\(558\) −1.06219e8 + 9.23118e7i −0.611366 + 0.531318i
\(559\) 6.45509e7 0.369544
\(560\) 1.98576e7 1.14648e7i 0.113074 0.0652834i
\(561\) 2.19277e8 2.11001e7i 1.24195 0.119508i
\(562\) 3.70127e7 6.41079e7i 0.208517 0.361163i
\(563\) 2.39951e8 + 1.38536e8i 1.34461 + 0.776311i 0.987480 0.157743i \(-0.0504218\pi\)
0.357130 + 0.934055i \(0.383755\pi\)
\(564\) 1.19932e7 + 5.46651e6i 0.0668493 + 0.0304700i
\(565\) 3.49390e7 + 6.05161e7i 0.193716 + 0.335525i
\(566\) 1.72919e7i 0.0953657i
\(567\) 2.41565e8 9.75281e7i 1.32521 0.535033i
\(568\) −7.32392e7 −0.399667
\(569\) −2.10766e8 + 1.21686e8i −1.14410 + 0.660546i −0.947443 0.319926i \(-0.896342\pi\)
−0.196657 + 0.980472i \(0.563009\pi\)
\(570\) 2.23607e7 4.90579e7i 0.120743 0.264901i
\(571\) 6.95310e7 1.20431e8i 0.373483 0.646891i −0.616616 0.787264i \(-0.711497\pi\)
0.990099 + 0.140373i \(0.0448302\pi\)
\(572\) 2.60912e7 + 1.50637e7i 0.139414 + 0.0804905i
\(573\) −1.87105e7 1.94444e8i −0.0994541 1.03355i
\(574\) −4.96646e7 8.60215e7i −0.262610 0.454853i
\(575\) 1.85216e8i 0.974262i
\(576\) 1.56696e7 + 1.80304e7i 0.0819956 + 0.0943490i
\(577\) −3.45574e8 −1.79893 −0.899464 0.436994i \(-0.856043\pi\)
−0.899464 + 0.436994i \(0.856043\pi\)
\(578\) 2.02426e8 1.16871e8i 1.04829 0.605232i
\(579\) 7.33143e7 + 1.02797e8i 0.377705 + 0.529594i
\(580\) 1.65812e6 2.87194e6i 0.00849828 0.0147194i
\(581\) −7.59392e7 4.38435e7i −0.387202 0.223551i
\(582\) −7.90816e7 + 5.64009e7i −0.401150 + 0.286100i
\(583\) 1.19294e8 + 2.06623e8i 0.602023 + 1.04273i
\(584\) 7.12708e7i 0.357827i
\(585\) 2.93947e7 + 1.01255e7i 0.146825 + 0.0505766i
\(586\) −1.66404e8 −0.826932
\(587\) −1.43696e8 + 8.29627e7i −0.710443 + 0.410174i −0.811225 0.584734i \(-0.801199\pi\)
0.100782 + 0.994909i \(0.467866\pi\)
\(588\) −1.05475e8 + 1.01495e7i −0.518823 + 0.0499242i
\(589\) 1.31849e8 2.28369e8i 0.645253 1.11761i
\(590\) −5.73379e7 3.31041e7i −0.279181 0.161185i
\(591\) −6.14260e7 2.79981e7i −0.297571 0.135633i
\(592\) −4.71337e7 8.16380e7i −0.227178 0.393484i
\(593\) 2.87880e8i 1.38054i −0.723553 0.690268i \(-0.757492\pi\)
0.723553 0.690268i \(-0.242508\pi\)
\(594\) 2.62326e7 1.09176e8i 0.125165 0.520919i
\(595\) −1.81166e8 −0.860055
\(596\) −1.01985e8 + 5.88812e7i −0.481724 + 0.278124i
\(597\) 3.67834e7 8.07004e7i 0.172874 0.379274i
\(598\) 3.61261e7 6.25723e7i 0.168934 0.292603i
\(599\) 3.67511e7 + 2.12182e7i 0.170997 + 0.0987254i 0.583056 0.812432i \(-0.301857\pi\)
−0.412059 + 0.911157i \(0.635190\pi\)
\(600\) 6.33788e6 + 6.58646e7i 0.0293420 + 0.304929i
\(601\) 8.90001e6 + 1.54153e7i 0.0409984 + 0.0710113i 0.885796 0.464074i \(-0.153613\pi\)
−0.844798 + 0.535085i \(0.820279\pi\)
\(602\) 1.91727e8i 0.878809i
\(603\) 2.29292e8 4.45400e7i 1.04577 0.203142i
\(604\) 2.13595e7 0.0969350
\(605\) 2.98524e7 1.72353e7i 0.134807 0.0778309i
\(606\) 2.32769e7 + 3.26374e7i 0.104594 + 0.146655i
\(607\) 1.72485e8 2.98753e8i 0.771232 1.33581i −0.165656 0.986184i \(-0.552974\pi\)
0.936888 0.349629i \(-0.113692\pi\)
\(608\) −3.87647e7 2.23808e7i −0.172475 0.0995785i
\(609\) −2.44458e7 + 1.74347e7i −0.108231 + 0.0771904i
\(610\) −5.14735e6 8.91547e6i −0.0226775 0.0392785i
\(611\) 1.42420e7i 0.0624378i
\(612\) −3.59896e7 1.85274e8i −0.157008 0.808277i
\(613\) 1.15533e8 0.501562 0.250781 0.968044i \(-0.419313\pi\)
0.250781 + 0.968044i \(0.419313\pi\)
\(614\) −1.87291e8 + 1.08133e8i −0.809119 + 0.467145i
\(615\) −4.39768e7 + 4.23170e6i −0.189059 + 0.0181924i
\(616\) −4.47419e7 + 7.74953e7i −0.191413 + 0.331538i
\(617\) −1.99692e8 1.15292e8i −0.850168 0.490845i 0.0105398 0.999944i \(-0.496645\pi\)
−0.860707 + 0.509100i \(0.829978\pi\)
\(618\) −1.14624e7 5.22460e6i −0.0485637 0.0221354i
\(619\) −1.43315e8 2.48228e8i −0.604253 1.04660i −0.992169 0.124902i \(-0.960138\pi\)
0.387916 0.921695i \(-0.373195\pi\)
\(620\) 4.98830e7i 0.209304i
\(621\) −2.61829e8 6.29116e7i −1.09331 0.262698i
\(622\) 4.16802e6 0.0173204
\(623\) 3.50849e8 2.02563e8i 1.45096 0.837713i
\(624\) 1.07056e7 2.34875e7i 0.0440614 0.0966679i
\(625\) −7.53408e7 + 1.30494e8i −0.308596 + 0.534504i
\(626\) −6.98365e7 4.03201e7i −0.284682 0.164361i
\(627\) 2.01528e7 + 2.09433e8i 0.0817586 + 0.849654i
\(628\) −2.41146e7 4.17677e7i −0.0973645 0.168640i
\(629\) 7.44804e8i 2.99288i
\(630\) −3.00746e7 + 8.73073e7i −0.120276 + 0.349164i
\(631\) −2.03780e8 −0.811098 −0.405549 0.914073i \(-0.632920\pi\)
−0.405549 + 0.914073i \(0.632920\pi\)
\(632\) 1.40835e8 8.13110e7i 0.557903 0.322105i
\(633\) −2.61640e7 3.66855e7i −0.103156 0.144638i
\(634\) 1.50218e8 2.60185e8i 0.589459 1.02097i
\(635\) 3.75532e7 + 2.16814e7i 0.146665 + 0.0846770i
\(636\) 1.66424e8 1.18694e8i 0.646913 0.461377i
\(637\) 5.72494e7 + 9.91588e7i 0.221489 + 0.383631i
\(638\) 1.29417e7i 0.0498345i
\(639\) 2.22625e8 1.93476e8i 0.853239 0.741521i
\(640\) −8.46746e6 −0.0323008
\(641\) −4.12801e8 + 2.38331e8i −1.56735 + 0.904910i −0.570874 + 0.821038i \(0.693396\pi\)
−0.996476 + 0.0838727i \(0.973271\pi\)
\(642\) −1.57543e8 + 1.51597e7i −0.595378 + 0.0572908i
\(643\) −8.05937e7 + 1.39592e8i −0.303157 + 0.525084i −0.976849 0.213928i \(-0.931374\pi\)
0.673692 + 0.739012i \(0.264707\pi\)
\(644\) 1.85851e8 + 1.07301e8i 0.695835 + 0.401741i
\(645\) 7.75966e7 + 3.53687e7i 0.289177 + 0.131807i
\(646\) 1.76830e8 + 3.06279e8i 0.655932 + 1.13611i
\(647\) 3.18171e8i 1.17476i −0.809313 0.587378i \(-0.800160\pi\)
0.809313 0.587378i \(-0.199840\pi\)
\(648\) −9.52615e7 1.34125e7i −0.350100 0.0492928i
\(649\) 2.58380e8 0.945202
\(650\) 6.19202e7 3.57496e7i 0.225472 0.130176i
\(651\) −1.87324e8 + 4.10977e8i −0.678970 + 1.48962i
\(652\) −9.45288e7 + 1.63729e8i −0.341053 + 0.590721i
\(653\) 1.55040e8 + 8.95121e7i 0.556805 + 0.321471i 0.751862 0.659321i \(-0.229156\pi\)
−0.195057 + 0.980792i \(0.562489\pi\)
\(654\) −6.14465e6 6.38565e7i −0.0219666 0.228282i
\(655\) 2.09457e7 + 3.62791e7i 0.0745370 + 0.129102i
\(656\) 3.66803e7i 0.129934i
\(657\) −1.88276e8 2.16641e8i −0.663894 0.763915i
\(658\) 4.23013e7 0.148483
\(659\) 2.74307e8 1.58371e8i 0.958475 0.553376i 0.0627716 0.998028i \(-0.480006\pi\)
0.895703 + 0.444652i \(0.146673\pi\)
\(660\) 2.31105e7 + 3.24040e7i 0.0803854 + 0.112711i
\(661\) 1.88046e8 3.25706e8i 0.651119 1.12777i −0.331733 0.943373i \(-0.607633\pi\)
0.982852 0.184398i \(-0.0590334\pi\)
\(662\) −2.49633e8 1.44126e8i −0.860456 0.496784i
\(663\) −1.66039e8 + 1.18419e8i −0.569732 + 0.406332i
\(664\) 1.61906e7 + 2.80429e7i 0.0553041 + 0.0957895i
\(665\) 1.73033e8i 0.588387i
\(666\) 3.58935e8 + 1.23641e8i 1.21505 + 0.418544i
\(667\) 3.10371e7 0.104593
\(668\) 7.45961e7 4.30681e7i 0.250257 0.144486i
\(669\) −3.03892e8 + 2.92423e7i −1.01494 + 0.0976636i
\(670\) −4.13978e7 + 7.17031e7i −0.137643 + 0.238404i
\(671\) 3.47930e7 + 2.00878e7i 0.115166 + 0.0664912i
\(672\) 6.97618e7 + 3.17976e7i 0.229885 + 0.104782i
\(673\) 1.18840e8 + 2.05836e8i 0.389867 + 0.675269i 0.992431 0.122801i \(-0.0391877\pi\)
−0.602564 + 0.798070i \(0.705854\pi\)
\(674\) 3.06767e8i 1.00191i
\(675\) −1.93259e8 1.83465e8i −0.628390 0.596544i
\(676\) 1.26566e8 0.409711
\(677\) 3.37474e8 1.94841e8i 1.08761 0.627933i 0.154672 0.987966i \(-0.450568\pi\)
0.932940 + 0.360033i \(0.117234\pi\)
\(678\) −9.69030e7 + 2.12599e8i −0.310920 + 0.682138i
\(679\) −1.55873e8 + 2.69979e8i −0.497921 + 0.862425i
\(680\) 5.79380e7 + 3.34505e7i 0.184263 + 0.106384i
\(681\) 3.96365e7 + 4.11911e8i 0.125503 + 1.30425i
\(682\) 9.73353e7 + 1.68590e8i 0.306844 + 0.531469i
\(683\) 3.91877e8i 1.22995i −0.788546 0.614975i \(-0.789166\pi\)
0.788546 0.614975i \(-0.210834\pi\)
\(684\) 1.76956e8 3.43738e7i 0.552965 0.107414i
\(685\) 2.17988e7 0.0678206
\(686\) −1.19903e7 + 6.92261e6i −0.0371414 + 0.0214436i
\(687\) −1.99270e7 2.79404e7i −0.0614571 0.0861711i
\(688\) 3.54006e7 6.13156e7i 0.108704 0.188281i
\(689\) −1.91289e8 1.10441e8i −0.584834 0.337654i
\(690\) 7.77118e7 5.54240e7i 0.236559 0.168714i
\(691\) 1.26455e8 + 2.19026e8i 0.383267 + 0.663838i 0.991527 0.129900i \(-0.0414655\pi\)
−0.608260 + 0.793738i \(0.708132\pi\)
\(692\) 2.03065e8i 0.612798i
\(693\) −6.87173e7 3.53756e8i −0.206475 1.06293i
\(694\) 1.17035e8 0.350137
\(695\) −1.61584e8 + 9.32908e7i −0.481333 + 0.277897i
\(696\) 1.10371e7 1.06205e6i 0.0327360 0.00315005i
\(697\) 1.44905e8 2.50983e8i 0.427942 0.741217i
\(698\) −1.69279e8 9.77333e7i −0.497780 0.287393i
\(699\) 3.58369e7 + 1.63345e7i 0.104930 + 0.0478272i
\(700\) 1.06183e8 + 1.83914e8i 0.309570 + 0.536191i
\(701\) 2.15054e8i 0.624299i 0.950033 + 0.312150i \(0.101049\pi\)
−0.950033 + 0.312150i \(0.898951\pi\)
\(702\) 2.95049e7 + 9.96757e7i 0.0852870 + 0.288123i
\(703\) −7.11366e8 −2.04751
\(704\) 2.86175e7 1.65223e7i 0.0820188 0.0473536i
\(705\) 7.80348e6 1.71203e7i 0.0222700 0.0488590i
\(706\) −2.28219e8 + 3.95286e8i −0.648540 + 1.12330i
\(707\) 1.11422e8 + 6.43294e7i 0.315291 + 0.182033i
\(708\) −2.12037e7 2.20354e8i −0.0597465 0.620898i
\(709\) 7.04509e7 + 1.22025e8i 0.197673 + 0.342380i 0.947774 0.318944i \(-0.103328\pi\)
−0.750100 + 0.661324i \(0.769995\pi\)
\(710\) 1.04549e8i 0.292110i
\(711\) −2.13296e8 + 6.19203e8i −0.593435 + 1.72276i
\(712\) −1.49605e8 −0.414482
\(713\) 4.04315e8 2.33431e8i 1.11545 0.644007i
\(714\) −3.51725e8 4.93166e8i −0.966293 1.35487i
\(715\) 2.15036e7 3.72453e7i 0.0588292 0.101895i
\(716\) −2.58224e8 1.49086e8i −0.703490 0.406160i
\(717\) −1.10463e8 + 7.87818e7i −0.299680 + 0.213731i
\(718\) 4.64304e7 + 8.04198e7i 0.125438 + 0.217265i
\(719\) 4.59075e8i 1.23508i −0.786538 0.617542i \(-0.788128\pi\)
0.786538 0.617542i \(-0.211872\pi\)
\(720\) 2.57385e7 2.23685e7i 0.0689581 0.0599292i
\(721\) −4.04293e7 −0.107867
\(722\) −6.20516e7 + 3.58255e7i −0.164870 + 0.0951877i
\(723\) 1.38005e8 1.32796e7i 0.365156 0.0351375i
\(724\) 2.06395e7 3.57487e7i 0.0543856 0.0941986i
\(725\) 2.65988e7 + 1.53568e7i 0.0697988 + 0.0402984i
\(726\) 1.04874e8 + 4.78019e7i 0.274069 + 0.124921i
\(727\) −2.26267e8 3.91905e8i −0.588867 1.01995i −0.994381 0.105859i \(-0.966241\pi\)
0.405514 0.914089i \(-0.367092\pi\)
\(728\) 8.28429e7i 0.214714i
\(729\) 3.24997e8 2.10882e8i 0.838875 0.544324i
\(730\) 1.01740e8 0.261530
\(731\) −4.84452e8 + 2.79699e8i −1.24022 + 0.716042i
\(732\) 1.42761e7 3.13209e7i 0.0363980 0.0798549i
\(733\) 2.37788e8 4.11861e8i 0.603779 1.04578i −0.388464 0.921464i \(-0.626994\pi\)
0.992243 0.124312i \(-0.0396725\pi\)
\(734\) −2.47782e8 1.43057e8i −0.626587 0.361760i
\(735\) 1.44884e7 + 1.50567e8i 0.0364888 + 0.379199i
\(736\) −3.96241e7 6.86310e7i −0.0993862 0.172142i
\(737\) 3.23113e8i 0.807147i
\(738\) −9.68982e7 1.11497e8i −0.241072 0.277392i
\(739\) 8.91913e7 0.220999 0.110499 0.993876i \(-0.464755\pi\)
0.110499 + 0.993876i \(0.464755\pi\)
\(740\) −1.16539e8 + 6.72837e7i −0.287591 + 0.166041i
\(741\) −1.13103e8 1.58585e8i −0.277983 0.389769i
\(742\) 3.28029e8 5.68162e8i 0.802971 1.39079i
\(743\) 6.30917e8 + 3.64260e8i 1.53818 + 0.888066i 0.998946 + 0.0459081i \(0.0146182\pi\)
0.539230 + 0.842158i \(0.318715\pi\)
\(744\) 1.35790e8 9.68454e7i 0.329723 0.235158i
\(745\) 8.40534e7 + 1.45585e8i 0.203276 + 0.352085i
\(746\) 7.93163e7i 0.191049i
\(747\) −1.23295e8 4.24711e7i −0.295790 0.101890i
\(748\) −2.61084e8 −0.623844
\(749\) −4.39906e8 + 2.53980e8i −1.04692 + 0.604441i
\(750\) 2.02536e8 1.94892e7i 0.480086 0.0461967i
\(751\) 1.79422e8 3.10769e8i 0.423601 0.733698i −0.572688 0.819773i \(-0.694099\pi\)
0.996289 + 0.0860756i \(0.0274327\pi\)
\(752\) −1.35282e7 7.81051e6i −0.0318117 0.0183665i
\(753\) −4.24307e7 1.93400e7i −0.0993791 0.0452972i
\(754\) −5.99064e6 1.03761e7i −0.0139752 0.0242058i
\(755\) 3.04909e7i 0.0708482i
\(756\) −2.96054e8 + 8.76347e7i −0.685182 + 0.202820i
\(757\) 3.38232e8 0.779700 0.389850 0.920878i \(-0.372527\pi\)
0.389850 + 0.920878i \(0.372527\pi\)
\(758\) 8.65675e7 4.99798e7i 0.198768 0.114759i
\(759\) −1.54496e8 + 3.38953e8i −0.353338 + 0.775202i
\(760\) −3.19488e7 + 5.53369e7i −0.0727803 + 0.126059i
\(761\) 5.84127e8 +